variables_v8(6).json

{
  "version": "8",
  "variables": {
    "1": {
      "aliases": "{'global_ID': ' V_1', 'python': 'value', 'cpp': 'value', 'matlab': 'value', 'latex': '\\\\#', 'internal_code': 'value'}",
      "doc": "numerical value",
      "equations": "{}",
      "index_structures": "[]",
      "label": "value",
      "network": "root",
      "port_variable": "True",
      "tokens": "[]",
      "type": "constant",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "2": {
      "aliases": "{'global_ID': ' V_2', 'python': 'one', 'cpp': 'one', 'matlab': 'one', 'latex': '1', 'internal_code': 'one'}",
      "doc": "numerical value one",
      "equations": "{1: {'rhs': ' O_11 D_0 V_1 D_7 V_1 D_1', 'type': 'generic', 'doc': 'numerical value 1', 'network': 'root', 'incidence_list': ['1']}}",
      "index_structures": "[]",
      "label": "one",
      "network": "root",
      "port_variable": "False",
      "tokens": "[]",
      "type": "constant",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "3": {
      "aliases": "{'global_ID': ' V_3', 'python': 'zero', 'cpp': 'zero', 'matlab': 'zero', 'latex': '0', 'internal_code': 'zero'}",
      "doc": "numerical value zero",
      "equations": "{2: {'rhs': ' O_11 D_0 V_1 D_7 V_1 D_1', 'type': 'generic', 'doc': 'numerical value zero', 'network': 'root', 'incidence_list': ['1']}}",
      "index_structures": "[]",
      "label": "zero",
      "network": "root",
      "port_variable": "False",
      "tokens": "[]",
      "type": "constant",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "4": {
      "aliases": "{'global_ID': ' V_4', 'python': 'onehalf', 'cpp': 'onehalf', 'matlab': 'onehalf', 'latex': '0.5', 'internal_code': 'onehalf'}",
      "doc": "numerical value one half",
      "equations": "{3: {'rhs': ' O_11 D_0 V_1 D_7 V_1 D_1', 'type': 'generic', 'doc': 'numerical value one half', 'network': 'root', 'incidence_list': ['1']}}",
      "index_structures": "[]",
      "label": "onehalf",
      "network": "root",
      "port_variable": "False",
      "tokens": "[]",
      "type": "constant",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "5": {
      "aliases": "{'global_ID': ' V_5', 'python': 't', 'cpp': 't', 'matlab': 't', 'latex': 't', 'internal_code': 't'}",
      "doc": "time",
      "equations": "{}",
      "index_structures": "[]",
      "label": "t",
      "network": "root",
      "port_variable": "True",
      "tokens": "[]",
      "type": "frame",
      "units": "[1, 0, 0, 0, 0, 0, 0, 0]"
    },
    "6": {
      "aliases": "{'global_ID': ' V_6', 'python': 'to', 'cpp': 'to', 'matlab': 'to', 'latex': '{t^o}', 'internal_code': 'to'}",
      "doc": "starting time",
      "equations": "{4: {'rhs': ' O_11 D_0 V_5 D_7 V_1 D_1', 'type': 'generic', 'doc': 'starting time', 'network': 'root', 'incidence_list': ['1', '5']}}",
      "index_structures": "[]",
      "label": "to",
      "network": "root",
      "port_variable": "False",
      "tokens": "[]",
      "type": "frame",
      "units": "[1, 0, 0, 0, 0, 0, 0, 0]"
    },
    "7": {
      "aliases": "{'global_ID': ' V_7', 'python': 'te', 'cpp': 'te', 'matlab': 'te', 'latex': '{t^e}', 'internal_code': 'te'}",
      "doc": "end time",
      "equations": "{5: {'rhs': ' O_11 D_0 V_5 D_7 V_1 D_1', 'type': 'generic', 'doc': 'end time', 'network': 'root', 'incidence_list': ['1', '5']}}",
      "index_structures": "[]",
      "label": "te",
      "network": "root",
      "port_variable": "False",
      "tokens": "[]",
      "type": "frame",
      "units": "[1, 0, 0, 0, 0, 0, 0, 0]"
    },
    "8": {
      "aliases": "{'global_ID': ' V_8', 'python': 'F_N_A', 'cpp': 'F_N_A', 'matlab': 'F_N_A', 'latex': 'F', 'internal_code': 'F_N_A'}",
      "doc": "fudamental incidence matrix",
      "equations": "{}",
      "index_structures": "[1, 2]",
      "label": "F_N_A",
      "network": "root",
      "port_variable": "True",
      "tokens": "[]",
      "type": "network",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "9": {
      "aliases": "{'global_ID': ' V_9', 'python': 'P_N_A', 'cpp': 'P_N_A', 'matlab': 'P_N_A', 'latex': 'P', 'internal_code': 'P_N_A'}",
      "doc": "projection from node to arc for arc properties",
      "equations": "{}",
      "index_structures": "[1, 2]",
      "label": "P_N_A",
      "network": "physical",
      "port_variable": "True",
      "tokens": "[]",
      "type": "projection",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "10": {
      "aliases": "{'global_ID': ' V_10', 'python': 'r_x', 'cpp': 'r_x', 'matlab': 'r_x', 'latex': '{r_x}', 'internal_code': 'r_x'}",
      "doc": "x-coordinate",
      "equations": "{}",
      "index_structures": "[1]",
      "label": "r_x",
      "network": "physical",
      "port_variable": "True",
      "tokens": "[]",
      "type": "frame",
      "units": "[0, 1, 0, 0, 0, 0, 0, 0]"
    },
    "11": {
      "aliases": "{'global_ID': ' V_11', 'python': 'r_y', 'cpp': 'r_y', 'matlab': 'r_y', 'latex': '{r_y}', 'internal_code': 'r_y'}",
      "doc": "y-coordinate",
      "equations": "{}",
      "index_structures": "[1]",
      "label": "r_y",
      "network": "physical",
      "port_variable": "True",
      "tokens": "[]",
      "type": "frame",
      "units": "[0, 1, 0, 0, 0, 0, 0, 0]"
    },
    "12": {
      "aliases": "{'global_ID': ' V_12', 'python': 'r_z', 'cpp': 'r_z', 'matlab': 'r_z', 'latex': '{r_z}', 'internal_code': 'r_z'}",
      "doc": "z_coordinate",
      "equations": "{}",
      "index_structures": "[1]",
      "label": "r_z",
      "network": "physical",
      "port_variable": "True",
      "tokens": "[]",
      "type": "frame",
      "units": "[0, 1, 0, 0, 0, 0, 0, 0]"
    },
    "13": {
      "aliases": "{'global_ID': ' V_13', 'python': 'U', 'cpp': 'U', 'matlab': 'U', 'latex': 'U', 'internal_code': 'U'}",
      "doc": "fundamental state -- internal energy",
      "equations": "{}",
      "index_structures": "[1]",
      "label": "U",
      "network": "physical",
      "port_variable": "True",
      "tokens": "[]",
      "type": "state",
      "units": "[-2, 2, 0, 1, 0, 0, 0, 0]"
    },
    "14": {
      "aliases": "{'global_ID': ' V_14', 'python': 'S', 'cpp': 'S', 'matlab': 'S', 'latex': 'S', 'internal_code': 'S'}",
      "doc": "fundamental state -- entropy",
      "equations": "{}",
      "index_structures": "[1]",
      "label": "S",
      "network": "physical",
      "port_variable": "True",
      "tokens": "[]",
      "type": "state",
      "units": "[-2, 2, 0, 1, -1, 0, 0, 0]"
    },
    "15": {
      "aliases": "{'global_ID': ' V_15', 'python': 'V', 'cpp': 'V', 'matlab': 'V', 'latex': 'V', 'internal_code': 'V'}",
      "doc": "fundamental state -- volume",
      "equations": "{}",
      "index_structures": "[1]",
      "label": "V",
      "network": "physical",
      "port_variable": "True",
      "tokens": "[]",
      "type": "state",
      "units": "[0, 3, 0, 0, 0, 0, 0, 0]"
    },
    "16": {
      "aliases": "{'global_ID': ' V_16', 'python': 'n', 'cpp': 'n', 'matlab': 'n', 'latex': 'n', 'internal_code': 'n'}",
      "doc": "fundamental state -- molar mass",
      "equations": "{86: {'rhs': ' O_9 D_0 V_101 D_8 V_5 O_14 D_2 V_6 D_7 V_7 D_3 D_1', 'type': 'generic', 'doc': 'fundamental state -- molar mass', 'network': 'macroscopic', 'incidence_list': ['101', '5', '6', '7']}}",
      "index_structures": "[5]",
      "label": "n",
      "network": "physical",
      "port_variable": "True",
      "tokens": "[]",
      "type": "state",
      "units": "[0, 0, 1, 0, 0, 0, 0, 0]"
    },
    "17": {
      "aliases": "{'global_ID': ' V_17', 'python': 'p', 'cpp': 'p', 'matlab': 'p', 'latex': 'p', 'internal_code': 'p'}",
      "doc": "thermodynamic pressure",
      "equations": "{6: {'rhs': ' F_11 D_0 O_7 D_0 V_13 D_7 V_15 D_1 D_1', 'type': 'generic', 'doc': 'thermodynamic pressure', 'network': 'physical', 'incidence_list': ['13', '15']}}",
      "index_structures": "[1]",
      "label": "p",
      "network": "physical",
      "port_variable": "False",
      "tokens": "[]",
      "type": "effort",
      "units": "[-2, -1, 0, 1, 0, 0, 0, 0]"
    },
    "18": {
      "aliases": "{'global_ID': ' V_18', 'python': 'T', 'cpp': 'T', 'matlab': 'T', 'latex': 'T', 'internal_code': 'T'}",
      "doc": "temperature",
      "equations": "{7: {'rhs': ' O_7 D_0 V_13 D_7 V_14 D_1', 'type': 'generic', 'doc': 'temperature', 'network': 'physical', 'incidence_list': ['13', '14']}}",
      "index_structures": "[1]",
      "label": "T",
      "network": "physical",
      "port_variable": "False",
      "tokens": "[]",
      "type": "effort",
      "units": "[0, 0, 0, 0, 1, 0, 0, 0]"
    },
    "19": {
      "aliases": "{'global_ID': ' V_19', 'python': 'chemPot', 'cpp': 'chemPot', 'matlab': 'chemPot', 'latex': '\\\\mu', 'internal_code': 'chemPot'}",
      "doc": "chemical potential",
      "equations": "{8: {'rhs': ' O_7 D_0 V_13 D_7 V_16 D_1', 'type': 'generic', 'doc': 'chemical potential', 'network': 'physical', 'incidence_list': ['13', '16']}}",
      "index_structures": "[5]",
      "label": "chemPot",
      "network": "physical",
      "port_variable": "False",
      "tokens": "[]",
      "type": "effort",
      "units": "[-2, 2, -1, 1, 0, 0, 0, 0]"
    },
    "20": {
      "aliases": "{'global_ID': ' V_20', 'python': 'H', 'cpp': 'H', 'matlab': 'H', 'latex': 'H', 'internal_code': 'H'}",
      "doc": "enthalpy",
      "equations": "{9: {'rhs': ' V_13 O_1 V_17 O_4 V_15', 'type': 'generic', 'doc': 'enthalpy', 'network': 'physical', 'incidence_list': ['13', '15', '17']}, 87: {'rhs': ' O_9 D_0 V_108 D_8 V_5 O_14 D_2 V_6 D_7 V_7 D_3 D_1', 'type': 'generic', 'doc': 'enthalpy', 'network': 'macroscopic', 'incidence_list': ['108', '5', '6', '7']}}",
      "index_structures": "[1]",
      "label": "H",
      "network": "physical",
      "port_variable": "False",
      "tokens": "[]",
      "type": "state",
      "units": "[-2, 2, 0, 1, 0, 0, 0, 0]"
    },
    "21": {
      "aliases": "{'global_ID': ' V_21', 'python': 'A', 'cpp': 'A', 'matlab': 'A', 'latex': 'A', 'internal_code': 'A'}",
      "doc": "Helmholtz energy",
      "equations": "{10: {'rhs': ' V_13 O_1 V_18 O_4 V_14', 'type': 'generic', 'doc': 'Helmholtz energy', 'network': 'physical', 'incidence_list': ['13', '14', '18']}}",
      "index_structures": "[1]",
      "label": "A",
      "network": "physical",
      "port_variable": "False",
      "tokens": "[]",
      "type": "state",
      "units": "[-2, 2, 0, 1, 0, 0, 0, 0]"
    },
    "22": {
      "aliases": "{'global_ID': ' V_22', 'python': 'G', 'cpp': 'G', 'matlab': 'G', 'latex': 'G', 'internal_code': 'G'}",
      "doc": "Gibbs free energy",
      "equations": "{11: {'rhs': ' V_13 O_0 V_17 O_4 V_15 O_1 V_18 O_4 V_14', 'type': 'generic', 'doc': 'Gibbs free energy', 'network': 'physical', 'incidence_list': ['13', '14', '15', '17', '18']}}",
      "index_structures": "[1]",
      "label": "G",
      "network": "physical",
      "port_variable": "False",
      "tokens": "[]",
      "type": "state",
      "units": "[-2, 2, 0, 1, 0, 0, 0, 0]"
    },
    "23": {
      "aliases": "{'global_ID': ' V_23', 'python': 'charge', 'cpp': 'charge', 'matlab': 'charge', 'latex': 'C', 'internal_code': 'charge'}",
      "doc": "fundamental state -- charge",
      "equations": "{}",
      "index_structures": "[1]",
      "label": "charge",
      "network": "physical",
      "port_variable": "True",
      "tokens": "[]",
      "type": "state",
      "units": "[1, 0, 0, 0, 0, 1, 0, 0]"
    },
    "24": {
      "aliases": "{'global_ID': ' V_24', 'python': 'Avogadro', 'cpp': 'Avogadro', 'matlab': 'Avogadro', 'latex': '{A^v}', 'internal_code': 'Avogadro'}",
      "doc": "Avogadro number",
      "equations": "{}",
      "index_structures": "[]",
      "label": "Avogadro",
      "network": "physical",
      "port_variable": "True",
      "tokens": "[]",
      "type": "constant",
      "units": "[0, 0, -1, 0, 0, 0, 0, 0]"
    },
    "27": {
      "aliases": "{'global_ID': ' V_27', 'python': 'Ue', 'cpp': 'Ue', 'matlab': 'Ue', 'latex': 'Ue', 'internal_code': 'Ue'}",
      "doc": "electrical potential -- voltage",
      "equations": "{14: {'rhs': ' F_15 D_0 V_23 D_1 O_4 V_13', 'type': 'generic', 'doc': 'electrical potential -- voltage', 'network': 'physical', 'incidence_list': ['13', '23']}, 95: {'rhs': ' F_15 D_0 V_117 D_1 O_4 V_113', 'type': 'generic', 'doc': 'electrical potential -- voltage', 'network': 'macroscopic', 'incidence_list': ['113', '117']}}",
      "index_structures": "[1]",
      "label": "Ue",
      "network": "physical",
      "port_variable": "False",
      "tokens": "[]",
      "type": "effort",
      "units": "[-3, 2, 0, 1, 0, -1, 0, 0]"
    },
    "28": {
      "aliases": "{'global_ID': ' V_28', 'python': 'v_x', 'cpp': 'v_x', 'matlab': 'v_x', 'latex': '{v_x}', 'internal_code': 'v_x'}",
      "doc": "velocitiy in x-direction",
      "equations": "{15: {'rhs': ' O_7 D_0 V_10 D_7 V_5 D_1', 'type': 'generic', 'doc': 'velocitiy in x-direction', 'network': 'physical', 'incidence_list': ['10', '5']}}",
      "index_structures": "[1]",
      "label": "v_x",
      "network": "physical",
      "port_variable": "False",
      "tokens": "[]",
      "type": "secondaryState",
      "units": "[-1, 1, 0, 0, 0, 0, 0, 0]"
    },
    "29": {
      "aliases": "{'global_ID': ' V_29', 'python': 'v_y', 'cpp': 'v_y', 'matlab': 'v_y', 'latex': '{v_y}', 'internal_code': 'v_y'}",
      "doc": "velocity in y-direction",
      "equations": "{16: {'rhs': ' O_7 D_0 V_11 D_7 V_5 D_1', 'type': 'generic', 'doc': 'velocity in y direction', 'network': 'physical', 'incidence_list': ['11', '5']}}",
      "index_structures": "[1]",
      "label": "v_y",
      "network": "physical",
      "port_variable": "False",
      "tokens": "[]",
      "type": "secondaryState",
      "units": "[-1, 1, 0, 0, 0, 0, 0, 0]"
    },
    "30": {
      "aliases": "{'global_ID': ' V_30', 'python': 'v_z', 'cpp': 'v_z', 'matlab': 'v_z', 'latex': '{v_z}', 'internal_code': 'v_z'}",
      "doc": "velocity in z-direction",
      "equations": "{17: {'rhs': ' O_7 D_0 V_12 D_7 V_5 D_1', 'type': 'generic', 'doc': 'velocity in z-direction', 'network': 'physical', 'incidence_list': ['12', '5']}}",
      "index_structures": "[1]",
      "label": "v_z",
      "network": "physical",
      "port_variable": "False",
      "tokens": "[]",
      "type": "secondaryState",
      "units": "[-1, 1, 0, 0, 0, 0, 0, 0]"
    },
    "32": {
      "aliases": "{'global_ID': ' V_32', 'python': 'P_NS_AS', 'cpp': 'P_NS_AS', 'matlab': 'P_NS_AS', 'latex': 'P', 'internal_code': 'P_NS_AS'}",
      "doc": "projection node species to arc species",
      "equations": "{}",
      "index_structures": "[5, 6]",
      "label": "P_NS_AS",
      "network": "physical",
      "port_variable": "True",
      "tokens": "[]",
      "type": "projection",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "33": {
      "aliases": "{'global_ID': ' V_33', 'python': 'P_K_NK', 'cpp': 'P_K_NK', 'matlab': 'P_K_NK', 'latex': 'P', 'internal_code': 'P_K_NK'}",
      "doc": "projection of conversion to node conversion",
      "equations": "{}",
      "index_structures": "[4, 7]",
      "label": "P_K_NK",
      "network": "physical",
      "port_variable": "True",
      "tokens": "[]",
      "type": "projection",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "34": {
      "aliases": "{'global_ID': ' V_34', 'python': 'P_S_NS', 'cpp': 'P_S_NS', 'matlab': 'P_S_NS', 'latex': 'P', 'internal_code': 'P_S_NS'}",
      "doc": "projection species to node species",
      "equations": "{}",
      "index_structures": "[3, 5]",
      "label": "P_S_NS",
      "network": "physical",
      "port_variable": "True",
      "tokens": "[]",
      "type": "projection",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "35": {
      "aliases": "{'global_ID': ' V_35', 'python': 'P_N_NK', 'cpp': 'P_N_NK', 'matlab': 'P_N_NK', 'latex': 'P', 'internal_code': 'P_N_NK'}",
      "doc": "projection node to node conversion",
      "equations": "{}",
      "index_structures": "[1, 7]",
      "label": "P_N_NK",
      "network": "physical",
      "port_variable": "True",
      "tokens": "[]",
      "type": "projection",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "36": {
      "aliases": "{'global_ID': ' V_36', 'python': 'P_NS_KS', 'cpp': 'P_NS_KS', 'matlab': 'P_NS_KS', 'latex': 'P', 'internal_code': 'P_NS_KS'}",
      "doc": "projection node species to conversion species",
      "equations": "{}",
      "index_structures": "[5, 8]",
      "label": "P_NS_KS",
      "network": "physical",
      "port_variable": "True",
      "tokens": "[]",
      "type": "projection",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "37": {
      "aliases": "{'global_ID': ' V_37', 'python': 'P_A_NS', 'cpp': 'P_A_NS', 'matlab': 'P_A_NS', 'latex': 'P', 'internal_code': 'P_A_NS'}",
      "doc": "projection arc to node species for conductivity",
      "equations": "{}",
      "index_structures": "[2, 5]",
      "label": "P_A_NS",
      "network": "physical",
      "port_variable": "True",
      "tokens": "[]",
      "type": "projection",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "38": {
      "aliases": "{'global_ID': ' V_38', 'python': 'Ko', 'cpp': 'Ko', 'matlab': 'Ko', 'latex': '{K^o}', 'internal_code': 'Ko'}",
      "doc": "Arrhenius frequency factor",
      "equations": "{}",
      "index_structures": "[4]",
      "label": "Ko",
      "network": "reactions",
      "port_variable": "True",
      "tokens": "[]",
      "type": "constant",
      "units": "[-1, -3, 1, 0, 0, 0, 0, 0]"
    },
    "40": {
      "aliases": "{'global_ID': ' V_40', 'python': 'Mm', 'cpp': 'Mm', 'matlab': 'Mm', 'latex': '\\\\lambda', 'internal_code': 'Mm'}",
      "doc": "species molecular mass",
      "equations": "{}",
      "index_structures": "[3]",
      "label": "Mm",
      "network": "material",
      "port_variable": "True",
      "tokens": "[]",
      "type": "constant",
      "units": "[0, 0, -1, 1, 0, 0, 0, 0]"
    },
    "41": {
      "aliases": "{'global_ID': ' V_41', 'python': 'Mm', 'cpp': 'Mm', 'matlab': 'Mm', 'latex': '\\\\lambda', 'internal_code': 'Mm'}",
      "doc": "link variable Mm to interface material >>> macroscopic",
      "equations": "{20: {'rhs': ' V_40', 'type': 'interface_link_equation', 'doc': 'interface equation', 'network': 'material >>> macroscopic', 'incidence_list': ['40']}}",
      "index_structures": "[3]",
      "label": "_Mm",
      "network": "material >>> macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "get",
      "units": "[0, 0, -1, 1, 0, 0, 0, 0]"
    },
    "42": {
      "aliases": "{'global_ID': ' V_42', 'python': 'Cp', 'cpp': 'Cp', 'matlab': 'Cp', 'latex': '{C_p}', 'internal_code': 'Cp'}",
      "doc": "total heat capacity at constant pressure",
      "equations": "{21: {'rhs': ' O_7 D_0 V_20 D_7 V_18 D_1', 'type': 'generic', 'doc': 'total heat capacity at constant pressure', 'network': 'material', 'incidence_list': ['18', '20']}}",
      "index_structures": "[1]",
      "label": "Cp",
      "network": "material",
      "port_variable": "False",
      "tokens": "[]",
      "type": "property",
      "units": "[-2, 2, 0, 1, -1, 0, 0, 0]"
    },
    "43": {
      "aliases": "{'global_ID': ' V_43', 'python': 'Cv', 'cpp': 'Cv', 'matlab': 'Cv', 'latex': '{C_V}', 'internal_code': 'Cv'}",
      "doc": "total heat capacity at constant volume",
      "equations": "{22: {'rhs': ' O_7 D_0 V_13 D_7 V_18 D_1', 'type': 'generic', 'doc': 'total heat capacity at constant volume', 'network': 'material', 'incidence_list': ['13', '18']}}",
      "index_structures": "[1]",
      "label": "Cv",
      "network": "material",
      "port_variable": "False",
      "tokens": "[]",
      "type": "property",
      "units": "[-2, 2, 0, 1, -1, 0, 0, 0]"
    },
    "44": {
      "aliases": "{'global_ID': ' V_44', 'python': 'kq_x', 'cpp': 'kq_x', 'matlab': 'kq_x', 'latex': '{k^q_x}', 'internal_code': 'kq_x'}",
      "doc": "thermal conductivity in x-direction",
      "equations": "{23: {'rhs': ' F_15 D_0 V_15 D_1 O_4 O_7 D_0 V_13 D_7 V_18 D_1 O_4 V_28', 'type': 'generic', 'doc': 'thermal conductivity in x-direction', 'network': 'material', 'incidence_list': ['13', '15', '18', '28']}}",
      "index_structures": "[1]",
      "label": "kq_x",
      "network": "material",
      "port_variable": "False",
      "tokens": "[]",
      "type": "property",
      "units": "[-3, 0, 0, 1, -1, 0, 0, 0]"
    },
    "45": {
      "aliases": "{'global_ID': ' V_45', 'python': 'kq_y', 'cpp': 'kq_y', 'matlab': 'kq_y', 'latex': '{k^q_y}', 'internal_code': 'kq_y'}",
      "doc": "thermal conductivity in y-direction",
      "equations": "{24: {'rhs': ' F_15 D_0 V_15 D_1 O_4 O_7 D_0 V_13 D_7 V_18 D_1 O_4 V_29', 'type': 'generic', 'doc': 'thermal conductivity in y-direction', 'network': 'material', 'incidence_list': ['13', '15', '18', '29']}}",
      "index_structures": "[1]",
      "label": "kq_y",
      "network": "material",
      "port_variable": "False",
      "tokens": "[]",
      "type": "property",
      "units": "[-3, 0, 0, 1, -1, 0, 0, 0]"
    },
    "46": {
      "aliases": "{'global_ID': ' V_46', 'python': 'kq_z', 'cpp': 'kq_z', 'matlab': 'kq_z', 'latex': '{k^q_z}', 'internal_code': 'kq_z'}",
      "doc": "thermal conductivity in z-direction'",
      "equations": "{25: {'rhs': ' F_15 D_0 V_15 D_1 O_4 O_7 D_0 V_13 D_7 V_18 D_1 O_4 V_30', 'type': 'generic', 'doc': \"thermal conductivity in z-direction'\", 'network': 'material', 'incidence_list': ['13', '15', '18', '30']}}",
      "index_structures": "[1]",
      "label": "kq_z",
      "network": "material",
      "port_variable": "False",
      "tokens": "[]",
      "type": "property",
      "units": "[-3, 0, 0, 1, -1, 0, 0, 0]"
    },
    "47": {
      "aliases": "{'global_ID': ' V_47', 'python': 'kq', 'cpp': 'kq', 'matlab': 'kq', 'latex': '{k^q}', 'internal_code': 'kq'}",
      "doc": "thermal conductivity",
      "equations": "{26: {'rhs': ' F_20 D_0 V_44 D_7 V_45 D_7 V_46 D_1', 'type': 'generic', 'doc': 'thermal conductivity', 'network': 'material', 'incidence_list': ['44', '45', '46']}}",
      "index_structures": "[1]",
      "label": "kq",
      "network": "material",
      "port_variable": "False",
      "tokens": "[]",
      "type": "property",
      "units": "[-3, 0, 0, 1, -1, 0, 0, 0]"
    },
    "48": {
      "aliases": "{'global_ID': ' V_48', 'python': 'kc_x', 'cpp': 'kc_x', 'matlab': 'kc_x', 'latex': '{k^c_x}', 'internal_code': 'kc_x'}",
      "doc": "convecitve mass conductivity in x-direction",
      "equations": "{27: {'rhs': ' D_0 V_40 O_5 I_3 O_14 I_5 O_5 F_15 D_0 V_19 D_1 D_1 O_4 F_15 D_0 V_15 D_1 O_4 O_7 D_0 V_13 D_7 V_17 D_1 O_4 V_28', 'type': 'generic', 'doc': 'convecitve mass conductivity in x-direction', 'network': 'material', 'incidence_list': ['13', '15', '17', '19', '28', '40']}}",
      "index_structures": "[1]",
      "label": "kc_x",
      "network": "material",
      "port_variable": "False",
      "tokens": "[]",
      "type": "property",
      "units": "[1, -1, 0, 0, 0, 0, 0, 0]"
    },
    "49": {
      "aliases": "{'global_ID': ' V_49', 'python': 'kc_y', 'cpp': 'kc_y', 'matlab': 'kc_y', 'latex': '{k^c_y}', 'internal_code': 'kc_y'}",
      "doc": "convecitve mass conductivity in y-direction",
      "equations": "{28: {'rhs': ' D_0 V_40 O_5 I_3 O_14 I_5 O_5 F_15 D_0 V_19 D_1 D_1 O_4 F_15 D_0 V_15 D_1 O_4 O_7 D_0 V_13 D_7 V_17 D_1 O_4 V_29', 'type': 'generic', 'doc': 'convecitve mass conductivity in y-direction', 'network': 'material', 'incidence_list': ['13', '15', '17', '19', '29', '40']}}",
      "index_structures": "[1]",
      "label": "kc_y",
      "network": "material",
      "port_variable": "False",
      "tokens": "[]",
      "type": "property",
      "units": "[1, -1, 0, 0, 0, 0, 0, 0]"
    },
    "50": {
      "aliases": "{'global_ID': ' V_50', 'python': 'kc_z', 'cpp': 'kc_z', 'matlab': 'kc_z', 'latex': '{k^c_z}', 'internal_code': 'kc_z'}",
      "doc": "convecitve mass conductivity in z-direction",
      "equations": "{29: {'rhs': ' D_0 V_40 O_5 I_3 O_14 I_5 O_5 F_15 D_0 V_19 D_1 D_1 O_4 F_15 D_0 V_15 D_1 O_4 O_7 D_0 V_13 D_7 V_17 D_1 O_4 V_30', 'type': 'generic', 'doc': 'convecitve mass conductivity in z-direction', 'network': 'material', 'incidence_list': ['13', '15', '17', '19', '30', '40']}}",
      "index_structures": "[1]",
      "label": "kc_z",
      "network": "material",
      "port_variable": "False",
      "tokens": "[]",
      "type": "property",
      "units": "[1, -1, 0, 0, 0, 0, 0, 0]"
    },
    "51": {
      "aliases": "{'global_ID': ' V_51', 'python': 'kc', 'cpp': 'kc', 'matlab': 'kc', 'latex': '{k^c}', 'internal_code': 'kc'}",
      "doc": "convective mass conductivity",
      "equations": "{30: {'rhs': ' F_20 D_0 V_48 D_7 V_49 D_7 V_50 D_1', 'type': 'generic', 'doc': 'convective mass conductivity', 'network': 'material', 'incidence_list': ['48', '49', '50']}}",
      "index_structures": "[1]",
      "label": "kc",
      "network": "material",
      "port_variable": "False",
      "tokens": "[]",
      "type": "property",
      "units": "[1, -1, 0, 0, 0, 0, 0, 0]"
    },
    "52": {
      "aliases": "{'global_ID': ' V_52', 'python': 'kd_x', 'cpp': 'kd_x', 'matlab': 'kd_x', 'latex': '{k^d_x}', 'internal_code': 'kd_x'}",
      "doc": "diffusional mass conductivity in x-direction",
      "equations": "{31: {'rhs': ' F_15 D_0 V_19 D_1 O_4 D_0 V_28 O_3 D_0 F_15 D_0 V_15 D_1 O_3 O_7 D_0 V_13 D_7 V_19 D_1 D_1 D_1', 'type': 'generic', 'doc': 'diffusional mass conductivity in x-direction', 'network': 'material', 'incidence_list': ['13', '15', '19', '28']}}",
      "index_structures": "[5]",
      "label": "kd_x",
      "network": "material",
      "port_variable": "False",
      "tokens": "[]",
      "type": "property",
      "units": "[1, -4, 2, -1, 0, 0, 0, 0]"
    },
    "53": {
      "aliases": "{'global_ID': ' V_53', 'python': 'kd_y', 'cpp': 'kd_y', 'matlab': 'kd_y', 'latex': '{k^d_y}', 'internal_code': 'kd_y'}",
      "doc": "diffusional mass conductivity in y-direction",
      "equations": "{32: {'rhs': ' F_15 D_0 V_19 D_1 O_4 D_0 V_29 O_3 D_0 F_15 D_0 V_15 D_1 O_3 O_7 D_0 V_13 D_7 V_19 D_1 D_1 D_1', 'type': 'generic', 'doc': 'diffusional mass conductivity in y-direction', 'network': 'material', 'incidence_list': ['13', '15', '19', '29']}}",
      "index_structures": "[5]",
      "label": "kd_y",
      "network": "material",
      "port_variable": "False",
      "tokens": "[]",
      "type": "property",
      "units": "[1, -4, 2, -1, 0, 0, 0, 0]"
    },
    "54": {
      "aliases": "{'global_ID': ' V_54', 'python': 'kd_z', 'cpp': 'kd_z', 'matlab': 'kd_z', 'latex': '{k^d_z}', 'internal_code': 'kd_z'}",
      "doc": "diffusional mass conductivity in z-direction",
      "equations": "{33: {'rhs': ' F_15 D_0 V_19 D_1 O_4 D_0 V_30 O_3 D_0 F_15 D_0 V_15 D_1 O_3 O_7 D_0 V_13 D_7 V_19 D_1 D_1 D_1', 'type': 'generic', 'doc': 'diffusional mass conductivity in z-direction', 'network': 'material', 'incidence_list': ['13', '15', '19', '30']}}",
      "index_structures": "[5]",
      "label": "kd_z",
      "network": "material",
      "port_variable": "False",
      "tokens": "[]",
      "type": "property",
      "units": "[1, -4, 2, -1, 0, 0, 0, 0]"
    },
    "55": {
      "aliases": "{'global_ID': ' V_55', 'python': 'kd', 'cpp': 'kd', 'matlab': 'kd', 'latex': '{k^d}', 'internal_code': 'kd'}",
      "doc": "diffusional mass condctivity",
      "equations": "{34: {'rhs': ' F_20 D_0 V_52 D_7 V_53 D_7 V_54 D_1', 'type': 'generic', 'doc': 'diffusional mass condctivity', 'network': 'material', 'incidence_list': ['52', '53', '54']}}",
      "index_structures": "[5]",
      "label": "kd",
      "network": "material",
      "port_variable": "False",
      "tokens": "[]",
      "type": "property",
      "units": "[1, -4, 2, -1, 0, 0, 0, 0]"
    },
    "56": {
      "aliases": "{'global_ID': ' V_56', 'python': 'h', 'cpp': 'h', 'matlab': 'h', 'latex': 'h', 'internal_code': 'h'}",
      "doc": "partial molar enthalpies",
      "equations": "{35: {'rhs': ' V_20 O_3 F_15 D_0 V_16 D_1', 'type': 'generic', 'doc': 'partial molar enthalpies', 'network': 'material', 'incidence_list': ['16', '20']}}",
      "index_structures": "[5]",
      "label": "h",
      "network": "material",
      "port_variable": "False",
      "tokens": "[]",
      "type": "property",
      "units": "[-2, 2, -1, 1, 0, 0, 0, 0]"
    },
    "57": {
      "aliases": "{'global_ID': ' V_57', 'python': 'm', 'cpp': 'm', 'matlab': 'm', 'latex': 'm', 'internal_code': 'm'}",
      "doc": "total mass",
      "equations": "{36: {'rhs': ' V_41 O_5 I_3 O_14 I_5 O_5 V_16', 'type': 'generic', 'doc': 'total mass', 'network': 'macroscopic', 'incidence_list': ['16', '41']}}",
      "index_structures": "[1]",
      "label": "m",
      "network": "macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "secondaryState",
      "units": "[0, 0, 0, 1, 0, 0, 0, 0]"
    },
    "58": {
      "aliases": "{'global_ID': ' V_58', 'python': 'm', 'cpp': 'm', 'matlab': 'm', 'latex': 'm', 'internal_code': 'm'}",
      "doc": "link variable m to interface macroscopic >>> material",
      "equations": "{37: {'rhs': ' V_57', 'type': 'interface_link_equation', 'doc': 'interface equation', 'network': 'macroscopic >>> material', 'incidence_list': ['57']}}",
      "index_structures": "[1]",
      "label": "_m",
      "network": "macroscopic >>> material",
      "port_variable": "False",
      "tokens": "[]",
      "type": "get",
      "units": "[0, 0, 0, 1, 0, 0, 0, 0]"
    },
    "59": {
      "aliases": "{'global_ID': ' V_59', 'python': 'density', 'cpp': 'density', 'matlab': 'density', 'latex': '\\\\rho', 'internal_code': 'density'}",
      "doc": "density",
      "equations": "{38: {'rhs': ' V_58 O_4 F_15 D_0 V_15 D_1', 'type': 'generic', 'doc': 'density', 'network': 'material', 'incidence_list': ['15', '58']}}",
      "index_structures": "[1]",
      "label": "density",
      "network": "material",
      "port_variable": "False",
      "tokens": "[]",
      "type": "property",
      "units": "[0, -3, 0, 1, 0, 0, 0, 0]"
    },
    "60": {
      "aliases": "{'global_ID': ' V_60', 'python': 'T_NK', 'cpp': 'T_NK', 'matlab': 'T_NK', 'latex': 'T', 'internal_code': 'T_NK'}",
      "doc": "temperature of the reactive system",
      "equations": "{39: {'rhs': ' V_35  O_5  I_1 O_5  V_18', 'type': 'generic', 'doc': 'temperature of the reactive system', 'network': 'reactions', 'incidence_list': ['18', '35']}}",
      "index_structures": "[7]",
      "label": "T_NK",
      "network": "reactions",
      "port_variable": "False",
      "tokens": "[]",
      "type": "effort",
      "units": "[0, 0, 0, 0, 1, 0, 0, 0]"
    },
    "62": {
      "aliases": "{'global_ID': ' V_62', 'python': 'Ea', 'cpp': 'Ea', 'matlab': 'Ea', 'latex': '{E^a}', 'internal_code': 'Ea'}",
      "doc": "Arrhenius activation energy",
      "equations": "{41: {'rhs': ' O_11 D_0 V_157 O_4 V_60 D_7 V_1 D_1', 'type': 'generic', 'doc': 'Arrhenius activation energy', 'network': 'reactions', 'incidence_list': ['1', '157', '60']}}",
      "index_structures": "[7]",
      "label": "Ea",
      "network": "reactions",
      "port_variable": "False",
      "tokens": "[]",
      "type": "constant",
      "units": "[-2, 2, -1, 1, 0, 0, 0, 0]"
    },
    "63": {
      "aliases": "{'global_ID': ' V_63', 'python': 'K_NK', 'cpp': 'K_NK', 'matlab': 'K_NK', 'latex': 'K', 'internal_code': 'K_NK'}",
      "doc": "Arrhenius reaction 'constant'",
      "equations": "{42: {'rhs': ' V_38 O_3 F_0 D_0 F_11 D_0 V_62 D_1 O_4 F_15 D_0 V_157 O_4 V_60 D_1 D_1', 'type': 'generic', 'doc': \"Arrhenius reaction 'constant'\", 'network': 'reactions', 'incidence_list': ['157', '38', '60', '62']}}",
      "index_structures": "[7]",
      "label": "K_NK",
      "network": "reactions",
      "port_variable": "False",
      "tokens": "[]",
      "type": "constant",
      "units": "[-1, -3, 1, 0, 0, 0, 0, 0]"
    },
    "65": {
      "aliases": "{'global_ID': ' V_65', 'python': 'P_NK_KS', 'cpp': 'P_NK_KS', 'matlab': 'P_NK_KS', 'latex': 'P', 'internal_code': 'P_NK_KS'}",
      "doc": "projection node conversion to conversion species",
      "equations": "{}",
      "index_structures": "[7, 8]",
      "label": "P_NK_KS",
      "network": "physical",
      "port_variable": "True",
      "tokens": "[]",
      "type": "projection",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "66": {
      "aliases": "{'global_ID': ' V_66', 'python': 'c', 'cpp': 'c', 'matlab': 'c', 'latex': 'c', 'internal_code': 'c'}",
      "doc": "molar composition",
      "equations": "{44: {'rhs': ' F_15 D_0 V_15 D_1 O_3 V_16', 'type': 'generic', 'doc': 'molar composition', 'network': 'macroscopic', 'incidence_list': ['15', '16']}}",
      "index_structures": "[5]",
      "label": "c",
      "network": "macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "secondaryState",
      "units": "[0, -3, 1, 0, 0, 0, 0, 0]"
    },
    "67": {
      "aliases": "{'global_ID': ' V_67', 'python': 'c', 'cpp': 'c', 'matlab': 'c', 'latex': 'c', 'internal_code': 'c'}",
      "doc": "link variable c to interface macroscopic >>> reactions",
      "equations": "{45: {'rhs': ' V_66', 'type': 'interface_link_equation', 'doc': 'interface equation', 'network': 'macroscopic >>> reactions', 'incidence_list': ['66']}}",
      "index_structures": "[5]",
      "label": "_c",
      "network": "macroscopic >>> reactions",
      "port_variable": "False",
      "tokens": "[]",
      "type": "get",
      "units": "[0, -3, 1, 0, 0, 0, 0, 0]"
    },
    "70": {
      "aliases": "{'global_ID': ' V_70', 'python': 'F_NS_AS', 'cpp': 'F_NS_AS', 'matlab': 'F_NS_AS', 'latex': 'F', 'internal_code': 'F_NS_AS'}",
      "doc": "species related incidence matrix",
      "equations": "{}",
      "index_structures": "[5, 6]",
      "label": "F_NS_AS",
      "network": "macroscopic",
      "port_variable": "True",
      "tokens": "[]",
      "type": "network",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "71": {
      "aliases": "{'global_ID': ' V_71', 'python': 'Ayz', 'cpp': 'Ayz', 'matlab': 'Ayz', 'latex': '{A_{yz}}', 'internal_code': 'Ayz'}",
      "doc": "cross sectional area yz",
      "equations": "{48: {'rhs': ' V_11 O_4 V_12', 'type': 'generic', 'doc': 'cross sectional area yz', 'network': 'macroscopic', 'incidence_list': ['11', '12']}}",
      "index_structures": "[1]",
      "label": "Ayz",
      "network": "macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "geometry",
      "units": "[0, 2, 0, 0, 0, 0, 0, 0]"
    },
    "72": {
      "aliases": "{'global_ID': ' V_72', 'python': 'Axz', 'cpp': 'Axz', 'matlab': 'Axz', 'latex': '{A_{xz}}', 'internal_code': 'Axz'}",
      "doc": "cross sectional area xz",
      "equations": "{49: {'rhs': ' V_10 O_4 V_12', 'type': 'generic', 'doc': 'cross sectional area xz', 'network': 'macroscopic', 'incidence_list': ['10', '12']}}",
      "index_structures": "[1]",
      "label": "Axz",
      "network": "macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "geometry",
      "units": "[0, 2, 0, 0, 0, 0, 0, 0]"
    },
    "73": {
      "aliases": "{'global_ID': ' V_73', 'python': 'Axy', 'cpp': 'Axy', 'matlab': 'Axy', 'latex': '{A_{xy}}', 'internal_code': 'Axy'}",
      "doc": "cross sectional area xy",
      "equations": "{50: {'rhs': ' V_10 O_4 V_11', 'type': 'generic', 'doc': 'cross sectional area xy', 'network': 'macroscopic', 'incidence_list': ['10', '11']}}",
      "index_structures": "[1]",
      "label": "Axy",
      "network": "macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "geometry",
      "units": "[0, 2, 0, 0, 0, 0, 0, 0]"
    },
    "74": {
      "aliases": "{'global_ID': ' V_74', 'python': 'density', 'cpp': 'density', 'matlab': 'density', 'latex': '\\\\rho', 'internal_code': 'density'}",
      "doc": "link variable density to interface material >>> macroscopic",
      "equations": "{51: {'rhs': ' V_59', 'type': 'interface_link_equation', 'doc': 'interface equation', 'network': 'material >>> macroscopic', 'incidence_list': ['59']}}",
      "index_structures": "[1]",
      "label": "_density",
      "network": "material >>> macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "get",
      "units": "[0, -3, 0, 1, 0, 0, 0, 0]"
    },
    "75": {
      "aliases": "{'global_ID': ' V_75', 'python': 'h', 'cpp': 'h', 'matlab': 'h', 'latex': 'h', 'internal_code': 'h'}",
      "doc": "link variable h to interface material >>> macroscopic",
      "equations": "{52: {'rhs': ' V_56', 'type': 'interface_link_equation', 'doc': 'interface equation', 'network': 'material >>> macroscopic', 'incidence_list': ['56']}}",
      "index_structures": "[5]",
      "label": "_h",
      "network": "material >>> macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "get",
      "units": "[-2, 2, -1, 1, 0, 0, 0, 0]"
    },
    "76": {
      "aliases": "{'global_ID': ' V_76', 'python': 'kq_x', 'cpp': 'kq_x', 'matlab': 'kq_x', 'latex': '{k^q_x}', 'internal_code': 'kq_x'}",
      "doc": "link variable kq_x to interface material >>> macroscopic",
      "equations": "{53: {'rhs': ' V_44', 'type': 'interface_link_equation', 'doc': 'interface equation', 'network': 'material >>> macroscopic', 'incidence_list': ['44']}}",
      "index_structures": "[1]",
      "label": "_kq_x",
      "network": "material >>> macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "get",
      "units": "[-3, 0, 0, 1, -1, 0, 0, 0]"
    },
    "77": {
      "aliases": "{'global_ID': ' V_77', 'python': 'Cv', 'cpp': 'Cv', 'matlab': 'Cv', 'latex': 'Cv', 'internal_code': 'Cv'}",
      "doc": "link variable Cv to interface material >>> macroscopic",
      "equations": "{54: {'rhs': ' V_43', 'type': 'interface_link_equation', 'doc': 'interface equation', 'network': 'material >>> macroscopic', 'incidence_list': ['43']}}",
      "index_structures": "[1]",
      "label": "_Cv",
      "network": "material >>> macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "get",
      "units": "[-2, 2, 0, 1, -1, 0, 0, 0]"
    },
    "78": {
      "aliases": "{'global_ID': ' V_78', 'python': 'kq_y', 'cpp': 'kq_y', 'matlab': 'kq_y', 'latex': '{k^q_y}', 'internal_code': 'kq_y'}",
      "doc": "link variable kq_y to interface material >>> macroscopic",
      "equations": "{55: {'rhs': ' V_45', 'type': 'interface_link_equation', 'doc': 'interface equation', 'network': 'material >>> macroscopic', 'incidence_list': ['45']}}",
      "index_structures": "[1]",
      "label": "_kq_y",
      "network": "material >>> macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "get",
      "units": "[-3, 0, 0, 1, -1, 0, 0, 0]"
    },
    "79": {
      "aliases": "{'global_ID': ' V_79', 'python': 'kq_z', 'cpp': 'kq_z', 'matlab': 'kq_z', 'latex': '{k^q_z}', 'internal_code': 'kq_z'}",
      "doc": "link variable kq_z to interface material >>> macroscopic",
      "equations": "{56: {'rhs': ' V_46', 'type': 'interface_link_equation', 'doc': 'interface equation', 'network': 'material >>> macroscopic', 'incidence_list': ['46']}}",
      "index_structures": "[1]",
      "label": "_kq_z",
      "network": "material >>> macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "get",
      "units": "[-3, 0, 0, 1, -1, 0, 0, 0]"
    },
    "80": {
      "aliases": "{'global_ID': ' V_80', 'python': 'kq', 'cpp': 'kq', 'matlab': 'kq', 'latex': '{k^q}', 'internal_code': 'kq'}",
      "doc": "link variable kq to interface material >>> macroscopic",
      "equations": "{57: {'rhs': ' V_47', 'type': 'interface_link_equation', 'doc': 'interface equation', 'network': 'material >>> macroscopic', 'incidence_list': ['47']}}",
      "index_structures": "[1]",
      "label": "_kq",
      "network": "material >>> macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "get",
      "units": "[-3, 0, 0, 1, -1, 0, 0, 0]"
    },
    "81": {
      "aliases": "{'global_ID': ' V_81', 'python': 'kc_x', 'cpp': 'kc_x', 'matlab': 'kc_x', 'latex': '{k^c_x}', 'internal_code': 'kc_x'}",
      "doc": "link variable kc_x to interface material >>> macroscopic",
      "equations": "{58: {'rhs': ' V_48', 'type': 'interface_link_equation', 'doc': 'interface equation', 'network': 'material >>> macroscopic', 'incidence_list': ['48']}}",
      "index_structures": "[1]",
      "label": "_kc_x",
      "network": "material >>> macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "get",
      "units": "[1, -1, 0, 0, 0, 0, 0, 0]"
    },
    "82": {
      "aliases": "{'global_ID': ' V_82', 'python': 'Cp', 'cpp': 'Cp', 'matlab': 'Cp', 'latex': 'Cp', 'internal_code': 'Cp'}",
      "doc": "link variable Cp to interface material >>> macroscopic",
      "equations": "{59: {'rhs': ' V_42', 'type': 'interface_link_equation', 'doc': 'interface equation', 'network': 'material >>> macroscopic', 'incidence_list': ['42']}}",
      "index_structures": "[1]",
      "label": "_Cp",
      "network": "material >>> macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "get",
      "units": "[-2, 2, 0, 1, -1, 0, 0, 0]"
    },
    "83": {
      "aliases": "{'global_ID': ' V_83', 'python': 'kc_y', 'cpp': 'kc_y', 'matlab': 'kc_y', 'latex': '{k^c_y}', 'internal_code': 'kc_y'}",
      "doc": "link variable kc_y to interface material >>> macroscopic",
      "equations": "{60: {'rhs': ' V_49', 'type': 'interface_link_equation', 'doc': 'interface equation', 'network': 'material >>> macroscopic', 'incidence_list': ['49']}}",
      "index_structures": "[1]",
      "label": "_kc_y",
      "network": "material >>> macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "get",
      "units": "[1, -1, 0, 0, 0, 0, 0, 0]"
    },
    "84": {
      "aliases": "{'global_ID': ' V_84', 'python': 'kc_z', 'cpp': 'kc_z', 'matlab': 'kc_z', 'latex': '{k^c_z}', 'internal_code': 'kc_z'}",
      "doc": "link variable kc_z to interface material >>> macroscopic",
      "equations": "{61: {'rhs': ' V_50', 'type': 'interface_link_equation', 'doc': 'interface equation', 'network': 'material >>> macroscopic', 'incidence_list': ['50']}}",
      "index_structures": "[1]",
      "label": "_kc_z",
      "network": "material >>> macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "get",
      "units": "[1, -1, 0, 0, 0, 0, 0, 0]"
    },
    "85": {
      "aliases": "{'global_ID': ' V_85', 'python': 'kc', 'cpp': 'kc', 'matlab': 'kc', 'latex': '{k^c}', 'internal_code': 'kc'}",
      "doc": "link variable kc to interface material >>> macroscopic",
      "equations": "{62: {'rhs': ' V_51', 'type': 'interface_link_equation', 'doc': 'interface equation', 'network': 'material >>> macroscopic', 'incidence_list': ['51']}}",
      "index_structures": "[1]",
      "label": "_kc",
      "network": "material >>> macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "get",
      "units": "[1, -1, 0, 0, 0, 0, 0, 0]"
    },
    "86": {
      "aliases": "{'global_ID': ' V_86', 'python': 'kd_x', 'cpp': 'kd_x', 'matlab': 'kd_x', 'latex': '{k^d_x}', 'internal_code': 'kd_x'}",
      "doc": "link variable kd_x to interface material >>> macroscopic",
      "equations": "{63: {'rhs': ' V_52', 'type': 'interface_link_equation', 'doc': 'interface equation', 'network': 'material >>> macroscopic', 'incidence_list': ['52']}}",
      "index_structures": "[5]",
      "label": "_kd_x",
      "network": "material >>> macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "get",
      "units": "[1, -4, 2, -1, 0, 0, 0, 0]"
    },
    "87": {
      "aliases": "{'global_ID': ' V_87', 'python': 'kd_y', 'cpp': 'kd_y', 'matlab': 'kd_y', 'latex': '{k^d_y}', 'internal_code': 'kd_y'}",
      "doc": "link variable kd_y to interface material >>> macroscopic",
      "equations": "{64: {'rhs': ' V_53', 'type': 'interface_link_equation', 'doc': 'interface equation', 'network': 'material >>> macroscopic', 'incidence_list': ['53']}}",
      "index_structures": "[5]",
      "label": "_kd_y",
      "network": "material >>> macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "get",
      "units": "[1, -4, 2, -1, 0, 0, 0, 0]"
    },
    "88": {
      "aliases": "{'global_ID': ' V_88', 'python': 'kd_z', 'cpp': 'kd_z', 'matlab': 'kd_z', 'latex': '{k^d_z}', 'internal_code': 'kd_z'}",
      "doc": "link variable kd_z to interface material >>> macroscopic",
      "equations": "{65: {'rhs': ' V_54', 'type': 'interface_link_equation', 'doc': 'interface equation', 'network': 'material >>> macroscopic', 'incidence_list': ['54']}}",
      "index_structures": "[5]",
      "label": "_kd_z",
      "network": "material >>> macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "get",
      "units": "[1, -4, 2, -1, 0, 0, 0, 0]"
    },
    "89": {
      "aliases": "{'global_ID': ' V_89', 'python': 'kd', 'cpp': 'kd', 'matlab': 'kd', 'latex': '{k^d}', 'internal_code': 'kd'}",
      "doc": "link variable kd to interface material >>> macroscopic",
      "equations": "{66: {'rhs': ' V_55', 'type': 'interface_link_equation', 'doc': 'interface equation', 'network': 'material >>> macroscopic', 'incidence_list': ['55']}}",
      "index_structures": "[5]",
      "label": "_kd",
      "network": "material >>> macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "get",
      "units": "[1, -4, 2, -1, 0, 0, 0, 0]"
    },
    "90": {
      "aliases": "{'global_ID': ' V_90', 'python': 'D', 'cpp': 'D', 'matlab': 'D', 'latex': 'D', 'internal_code': 'D'}",
      "doc": "difference operator",
      "equations": "{}",
      "index_structures": "[1, 2]",
      "label": "D",
      "network": "macroscopic",
      "port_variable": "True",
      "tokens": "[]",
      "type": "differenceOperator",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "91": {
      "aliases": "{'global_ID': ' V_91', 'python': 'D_NS_AS', 'cpp': 'D_NS_AS', 'matlab': 'D_NS_AS', 'latex': 'D', 'internal_code': 'D_NS_AS'}",
      "doc": "difference operator for species topology",
      "equations": "{}",
      "index_structures": "[5, 6]",
      "label": "D_NS_AS",
      "network": "macroscopic",
      "port_variable": "True",
      "tokens": "[]",
      "type": "differenceOperator",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "92": {
      "aliases": "{'global_ID': ' V_92', 'python': 'fV', 'cpp': 'fV', 'matlab': 'fV', 'latex': '\\\\hat{V}', 'internal_code': 'fV'}",
      "doc": "volumetric flow",
      "equations": "{67: {'rhs': ' F_15 D_0 V_74 D_1 O_4 V_81 O_4 V_71 O_4 V_90  O_5  I_1 O_5  V_17', 'type': 'generic', 'doc': 'volumetric flow', 'network': 'macroscopic', 'incidence_list': ['17', '71', '74', '81', '90']}}",
      "index_structures": "[2]",
      "label": "fV",
      "network": "macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "transport",
      "units": "[-1, 3, 0, 0, 0, 0, 0, 0]"
    },
    "93": {
      "aliases": "{'global_ID': ' V_93', 'python': 'fnd_AS', 'cpp': 'fnd_AS', 'matlab': 'fnd_AS', 'latex': '{\\\\hat{n}^{d}}', 'internal_code': 'fnd_AS'}",
      "doc": "diffusional mass flow in a given stream",
      "equations": "{68: {'rhs': ' V_71 O_3 F_11 D_0 V_86 D_1 O_4 V_91  O_5  I_5 O_5  V_19', 'type': 'generic', 'doc': 'diffusional mass flow in a given stream', 'network': 'macroscopic', 'incidence_list': ['19', '71', '86', '91']}}",
      "index_structures": "[6]",
      "label": "fnd_AS",
      "network": "macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "transport",
      "units": "[-1, 0, 1, 0, 0, 0, 0, 0]"
    },
    "94": {
      "aliases": "{'global_ID': ' V_94', 'python': 'fnd', 'cpp': 'fnd', 'matlab': 'fnd', 'latex': '{\\\\hat{n}^{d}}', 'internal_code': 'fnd'}",
      "doc": "net diffusional mass flow",
      "equations": "{69: {'rhs': ' V_70  O_5  I_6 O_5  V_93', 'type': 'generic', 'doc': 'net diffusional mass flow', 'network': 'macroscopic', 'incidence_list': ['70', '93']}}",
      "index_structures": "[5]",
      "label": "fnd",
      "network": "macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "transport",
      "units": "[-1, 0, 1, 0, 0, 0, 0, 0]"
    },
    "95": {
      "aliases": "{'global_ID': ' V_95', 'python': 'fHd_A', 'cpp': 'fHd_A', 'matlab': 'fHd_A', 'latex': '{\\\\hat{H}^d}', 'internal_code': 'fHd_A'}",
      "doc": "enthalpy flow per diffusional mass stream",
      "equations": "{70: {'rhs': ' D_0 V_70  O_5  I_5 O_5  V_75 D_1 O_5 I_3 O_14 I_6 O_5 V_93', 'type': 'generic', 'doc': 'enthalpy flow per diffusional mass stream', 'network': 'macroscopic', 'incidence_list': ['70', '75', '93']}}",
      "index_structures": "[2]",
      "label": "fHd_A",
      "network": "macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "transport",
      "units": "[-3, 2, 0, 1, 0, 0, 0, 0]"
    },
    "96": {
      "aliases": "{'global_ID': ' V_96', 'python': 'fHd', 'cpp': 'fHd', 'matlab': 'fHd', 'latex': '{\\\\hat{H}^d}', 'internal_code': 'fHd'}",
      "doc": "net enthaply stream due to diffusion",
      "equations": "{71: {'rhs': ' V_8  O_5  I_2 O_5  V_95', 'type': 'generic', 'doc': 'net enthaply stream due to diffusion', 'network': 'macroscopic', 'incidence_list': ['8', '95']}}",
      "index_structures": "[1]",
      "label": "fHd",
      "network": "macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "transport",
      "units": "[-3, 2, 0, 1, 0, 0, 0, 0]"
    },
    "97": {
      "aliases": "{'global_ID': ' V_97', 'python': 'd', 'cpp': 'd', 'matlab': 'd', 'latex': 'd', 'internal_code': 'd'}",
      "doc": "flow direction of convectional flow",
      "equations": "{72: {'rhs': ' F_16 D_0 V_8  O_5  I_1 O_5  V_17 D_1', 'type': 'generic', 'doc': 'flow direction of convectional flow', 'network': 'macroscopic', 'incidence_list': ['17', '8']}}",
      "index_structures": "[2]",
      "label": "d",
      "network": "macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "transport",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "98": {
      "aliases": "{'global_ID': ' V_98', 'python': 'c_AS', 'cpp': 'c_AS', 'matlab': 'c_AS', 'latex': 'c', 'internal_code': 'c_AS'}",
      "doc": "concentration in convectional flow",
      "equations": "{73: {'rhs': ' D_0 V_4 O_4 D_0 V_70 O_1 V_97 O_3 F_10 D_0 V_70 D_1 D_1 D_1  O_5  I_5 O_5  V_66', 'type': 'generic', 'doc': 'concentration in convectional flow', 'network': 'macroscopic', 'incidence_list': ['4', '66', '70', '97']}}",
      "index_structures": "[6]",
      "label": "c_AS",
      "network": "macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "secondaryState",
      "units": "[0, -3, 1, 0, 0, 0, 0, 0]"
    },
    "99": {
      "aliases": "{'global_ID': ' V_99', 'python': 'fnc_AS', 'cpp': 'fnc_AS', 'matlab': 'fnc_AS', 'latex': '{\\\\hat{n}^c}', 'internal_code': 'fnc_AS'}",
      "doc": "molar convetional mass flow in the given stream",
      "equations": "{74: {'rhs': ' V_92 O_3 V_98', 'type': 'generic', 'doc': 'molar convetional mass flow in the given stream', 'network': 'macroscopic', 'incidence_list': ['92', '98']}}",
      "index_structures": "[6]",
      "label": "fnc_AS",
      "network": "macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "secondaryState",
      "units": "[-1, 0, 1, 0, 0, 0, 0, 0]"
    },
    "100": {
      "aliases": "{'global_ID': ' V_100', 'python': 'fnc', 'cpp': 'fnc', 'matlab': 'fnc', 'latex': '{\\\\hat{n}^c}', 'internal_code': 'fnc'}",
      "doc": "net molar convectional mass flow",
      "equations": "{75: {'rhs': ' V_70  O_5  I_6 O_5  V_99', 'type': 'generic', 'doc': 'net molar convectional mass flow', 'network': 'macroscopic', 'incidence_list': ['70', '99']}}",
      "index_structures": "[5]",
      "label": "fnc",
      "network": "macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "secondaryState",
      "units": "[-1, 0, 1, 0, 0, 0, 0, 0]"
    },
    "101": {
      "aliases": "{'global_ID': ' V_101', 'python': 'dndt', 'cpp': 'dndt', 'matlab': 'dndt', 'latex': '\\\\dot{n}', 'internal_code': 'dndt'}",
      "doc": "differential species balance",
      "equations": "{76: {'rhs': ' V_100 O_0 V_94', 'type': 'generic', 'doc': 'differential species balance', 'network': 'macroscopic', 'incidence_list': ['100', '94']}}",
      "index_structures": "[5]",
      "label": "dndt",
      "network": "macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "diffState",
      "units": "[-1, 0, 1, 0, 0, 0, 0, 0]"
    },
    "102": {
      "aliases": "{'global_ID': ' V_102', 'python': 'fHc_A', 'cpp': 'fHc_A', 'matlab': 'fHc_A', 'latex': '{\\\\hat{H}^c}', 'internal_code': 'fHc_A'}",
      "doc": "convective enthalpy flow for given stream",
      "equations": "{77: {'rhs': ' D_0 V_70  O_5  I_5 O_5  V_75 D_1 O_5 I_3 O_14 I_6 O_5 V_99', 'type': 'generic', 'doc': 'convective enthalpy flow for given stream', 'network': 'macroscopic', 'incidence_list': ['70', '75', '99']}}",
      "index_structures": "[2]",
      "label": "fHc_A",
      "network": "macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "transport",
      "units": "[-3, 2, 0, 1, 0, 0, 0, 0]"
    },
    "103": {
      "aliases": "{'global_ID': ' V_103', 'python': 'fHc', 'cpp': 'fHc', 'matlab': 'fHc', 'latex': '{\\\\hat{H}^c}', 'internal_code': 'fHc'}",
      "doc": "net convectional enthalpy stream",
      "equations": "{78: {'rhs': ' V_8  O_5  I_2 O_5  V_102', 'type': 'generic', 'doc': 'net convectional enthalpy stream', 'network': 'macroscopic', 'incidence_list': ['102', '8']}}",
      "index_structures": "[1]",
      "label": "fHc",
      "network": "macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "transport",
      "units": "[-3, 2, 0, 1, 0, 0, 0, 0]"
    },
    "104": {
      "aliases": "{'global_ID': ' V_104', 'python': 'fw_A', 'cpp': 'fw_A', 'matlab': 'fw_A', 'latex': '{\\\\hat{w}}', 'internal_code': 'fw_A'}",
      "doc": "sample work stream",
      "equations": "{79: {'rhs': ' O_11 D_0 V_102 D_7 V_1 D_1', 'type': 'generic', 'doc': 'sample work stream', 'network': 'macroscopic', 'incidence_list': ['1', '102']}}",
      "index_structures": "[2]",
      "label": "fw_A",
      "network": "macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "transport",
      "units": "[-3, 2, 0, 1, 0, 0, 0, 0]"
    },
    "105": {
      "aliases": "{'global_ID': ' V_105', 'python': 'fw', 'cpp': 'fw', 'matlab': 'fw', 'latex': '{\\\\hat{w}}', 'internal_code': 'fw'}",
      "doc": "net work stream",
      "equations": "{80: {'rhs': ' V_8  O_5  I_2 O_5  V_104', 'type': 'generic', 'doc': 'net work stream', 'network': 'macroscopic', 'incidence_list': ['104', '8']}}",
      "index_structures": "[1]",
      "label": "fw",
      "network": "macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "transport",
      "units": "[-3, 2, 0, 1, 0, 0, 0, 0]"
    },
    "106": {
      "aliases": "{'global_ID': ' V_106', 'python': 'fq_A_x', 'cpp': 'fq_A_x', 'matlab': 'fq_A_x', 'latex': '{\\\\hat{q}_{x}}', 'internal_code': 'fq_A_x'}",
      "doc": "heat flow in x-direction for given stream",
      "equations": "{81: {'rhs': ' V_71 O_4 V_76 O_4 V_90  O_5  I_1 O_5  V_18', 'type': 'generic', 'doc': 'heat flow in x-direction for given stream', 'network': 'macroscopic', 'incidence_list': ['18', '71', '76', '90']}}",
      "index_structures": "[2]",
      "label": "fq_A_x",
      "network": "macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "transport",
      "units": "[-3, 2, 0, 1, 0, 0, 0, 0]"
    },
    "107": {
      "aliases": "{'global_ID': ' V_107', 'python': 'fq', 'cpp': 'fq', 'matlab': 'fq', 'latex': '{\\\\hat{q}}', 'internal_code': 'fq'}",
      "doc": "net heat flow",
      "equations": "{82: {'rhs': ' V_8  O_5  I_2 O_5  V_106', 'type': 'generic', 'doc': 'net heat flow', 'network': 'macroscopic', 'incidence_list': ['106', '8']}}",
      "index_structures": "[1]",
      "label": "fq",
      "network": "macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "transport",
      "units": "[-3, 2, 0, 1, 0, 0, 0, 0]"
    },
    "108": {
      "aliases": "{'global_ID': ' V_108', 'python': 'dHdt', 'cpp': 'dHdt', 'matlab': 'dHdt', 'latex': '{\\\\dot{H}}', 'internal_code': 'dHdt'}",
      "doc": "differential enthalpy balance",
      "equations": "{83: {'rhs': ' V_103 O_0 V_96 O_0 V_107 O_0 V_105', 'type': 'generic', 'doc': 'differential enthalpy balance', 'network': 'macroscopic', 'incidence_list': ['103', '105', '107', '96']}}",
      "index_structures": "[1]",
      "label": "dHdt",
      "network": "macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "diffState",
      "units": "[-3, 2, 0, 1, 0, 0, 0, 0]"
    },
    "109": {
      "aliases": "{'global_ID': ' V_109', 'python': 'Ho', 'cpp': 'Ho', 'matlab': 'Ho', 'latex': '{H^o}', 'internal_code': 'Ho'}",
      "doc": "initial enthalpy",
      "equations": "{84: {'rhs': ' O_11 D_0 V_20 D_7 V_1 D_1', 'type': 'generic', 'doc': 'initial enthalpy', 'network': 'macroscopic', 'incidence_list': ['1', '20']}}",
      "index_structures": "[1]",
      "label": "Ho",
      "network": "macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "state",
      "units": "[-2, 2, 0, 1, 0, 0, 0, 0]"
    },
    "110": {
      "aliases": "{'global_ID': ' V_110', 'python': 'no', 'cpp': 'no', 'matlab': 'no', 'latex': '{n^o}', 'internal_code': 'no'}",
      "doc": "initial species",
      "equations": "{85: {'rhs': ' O_11 D_0 V_16 D_7 V_1 D_1', 'type': 'generic', 'doc': 'initial species', 'network': 'macroscopic', 'incidence_list': ['1', '16']}}",
      "index_structures": "[5]",
      "label": "no",
      "network": "macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "state",
      "units": "[0, 0, 1, 0, 0, 0, 0, 0]"
    },
    "112": {
      "aliases": "{'global_ID': ' V_112', 'python': 'additive', 'cpp': 'additive', 'matlab': 'additive', 'latex': '\\\\xi', 'internal_code': 'additive'}",
      "doc": "fraction of additives",
      "equations": "{88: {'rhs': ' O_11 D_0 V_112 D_7 V_1 D_1', 'type': 'generic', 'doc': 'fraction of additives', 'network': 'material', 'incidence_list': ['1', '112']}}",
      "index_structures": "[]",
      "label": "additive",
      "network": "material",
      "port_variable": "True",
      "tokens": "[]",
      "type": "constant",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "113": {
      "aliases": "{'global_ID': ' V_113', 'python': 'i', 'cpp': 'i', 'matlab': 'i', 'latex': 'I', 'internal_code': 'i'}",
      "doc": "electrical current definition",
      "equations": "{89: {'rhs': ' O_8 D_0 V_23 D_7 V_5 D_1', 'type': 'generic', 'doc': 'electrical current definition', 'network': 'macroscopic', 'incidence_list': ['23', '5']}}",
      "index_structures": "[1]",
      "label": "i",
      "network": "macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "internalTransport",
      "units": "[0, 0, 0, 0, 0, 1, 0, 0]"
    },
    "114": {
      "aliases": "{'global_ID': ' V_114', 'python': 'i', 'cpp': 'i', 'matlab': 'i', 'latex': 'i', 'internal_code': 'i'}",
      "doc": "link variable i to interface macroscopic >>> material",
      "equations": "{90: {'rhs': ' V_113', 'type': 'interface_link_equation', 'doc': 'interface equation', 'network': 'macroscopic >>> material', 'incidence_list': ['113']}}",
      "index_structures": "[1]",
      "label": "_i",
      "network": "macroscopic >>> material",
      "port_variable": "False",
      "tokens": "[]",
      "type": "get",
      "units": "[0, 0, 0, 0, 0, 1, 0, 0]"
    },
    "115": {
      "aliases": "{'global_ID': ' V_115', 'python': 'elResist', 'cpp': 'elResist', 'matlab': 'elResist', 'latex': '{R^e}', 'internal_code': 'elResist'}",
      "doc": "electrical resistant",
      "equations": "{91: {'rhs': ' F_15 D_0 V_114 D_1 O_4 V_27', 'type': 'generic', 'doc': 'electrical resistant', 'network': 'material', 'incidence_list': ['114', '27']}, 92: {'rhs': ' O_11 D_0 V_115 D_7 V_1 D_1', 'type': 'generic', 'doc': 'electrical resistant', 'network': 'material', 'incidence_list': ['1', '115']}}",
      "index_structures": "[1]",
      "label": "elResist",
      "network": "material",
      "port_variable": "False",
      "tokens": "[]",
      "type": "property",
      "units": "[-3, 2, 0, 1, 0, -2, 0, 0]"
    },
    "116": {
      "aliases": "{'global_ID': ' V_116', 'python': 'elConductC', 'cpp': 'elConductC', 'matlab': 'elConductC', 'latex': '{k^{e,\\\\xi}}', 'internal_code': 'elConductC'}",
      "doc": "simple model for the electrical conductivity as a function of the additive",
      "equations": "{93: {'rhs': ' F_15 D_0 V_115 D_1 O_4 V_112', 'type': 'generic', 'doc': 'simple model for the electrical conductivity as a function of the additive', 'network': 'material', 'incidence_list': ['112', '115']}}",
      "index_structures": "[1]",
      "label": "elConductC",
      "network": "material",
      "port_variable": "False",
      "tokens": "[]",
      "type": "property",
      "units": "[3, -2, 0, -1, 0, 2, 0, 0]"
    },
    "117": {
      "aliases": "{'global_ID': ' V_117', 'python': 'elConductC', 'cpp': 'elConductC', 'matlab': 'elConductC', 'latex': '{R^e}', 'internal_code': 'elConductC'}",
      "doc": "link variable elConductC to interface material >>> macroscopic",
      "equations": "{94: {'rhs': ' V_116', 'type': 'interface_link_equation', 'doc': 'interface equation', 'network': 'material >>> macroscopic', 'incidence_list': ['116']}}",
      "index_structures": "[1]",
      "label": "_elConductC",
      "network": "material >>> macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "get",
      "units": "[3, -2, 0, -1, 0, 2, 0, 0]"
    },
    "118": {
      "aliases": "{'global_ID': ' V_118', 'python': 'dUedt', 'cpp': 'dUedt', 'matlab': 'dUedt', 'latex': '{\\\\dot{U}^e}', 'internal_code': 'dUedt'}",
      "doc": "Kirkhoff first law",
      "equations": "{96: {'rhs': ' V_2 O_4 V_27', 'type': 'generic', 'doc': 'Kirkhoff first law', 'network': 'macroscopic', 'incidence_list': ['2', '27']}, 97: {'rhs': ' F_18 D_0 V_27 D_1', 'type': 'generic', 'doc': 'Kirkhoff first law', 'network': 'macroscopic', 'incidence_list': ['27']}, 98: {'rhs': ' O_11 D_0 V_118 D_7 V_3 D_1', 'type': 'generic', 'doc': 'Kirkhoff first law', 'network': 'macroscopic', 'incidence_list': ['118', '3']}}",
      "index_structures": "[1]",
      "label": "dUedt",
      "network": "macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "diffState",
      "units": "[-3, 2, 0, 1, 0, -1, 0, 0]"
    },
    "119": {
      "aliases": "{'global_ID': ' V_119', 'python': 'i', 'cpp': 'i', 'matlab': 'i', 'latex': 'I', 'internal_code': 'i'}",
      "doc": "link variable i to interface macroscopic >>> control",
      "equations": "{99: {'rhs': ' V_113', 'type': 'interface_link_equation', 'doc': 'interface equation', 'network': 'macroscopic >>> control', 'incidence_list': ['113']}}",
      "index_structures": "[1]",
      "label": "_i",
      "network": "macroscopic >>> control",
      "port_variable": "False",
      "tokens": "[]",
      "type": "get",
      "units": "[0, 0, 0, 0, 0, 1, 0, 0]"
    },
    "124": {
      "aliases": "{'global_ID': ' V_124', 'python': 'additive', 'cpp': 'additive', 'matlab': 'additive', 'latex': '\\\\xi', 'internal_code': 'additive'}",
      "doc": "link variable additive to interface material >>> control",
      "equations": "{104: {'rhs': ' V_112', 'type': 'interface_link_equation', 'doc': 'interface equation', 'network': 'material >>> control', 'incidence_list': ['112']}}",
      "index_structures": "[]",
      "label": "_additive",
      "network": "material >>> control",
      "port_variable": "False",
      "tokens": "[]",
      "type": "get",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "125": {
      "aliases": "{'global_ID': ' V_125', 'python': 'T', 'cpp': 'T', 'matlab': 'T', 'latex': 'T', 'internal_code': 'T'}",
      "doc": "link variable T to interface macroscopic >>> control",
      "equations": "{105: {'rhs': ' V_18', 'type': 'interface_link_equation', 'doc': 'interface equation', 'network': 'macroscopic >>> control', 'incidence_list': ['18']}}",
      "index_structures": "[1]",
      "label": "_T",
      "network": "macroscopic >>> control",
      "port_variable": "False",
      "tokens": "[]",
      "type": "get",
      "units": "[0, 0, 0, 0, 1, 0, 0, 0]"
    },
    "126": {
      "aliases": "{'global_ID': ' V_126', 'python': 'intensities', 'cpp': 'intensities', 'matlab': 'intensities', 'latex': '\\\\phi', 'internal_code': 'intensities'}",
      "doc": "collected intensities",
      "equations": "{106: {'rhs': ' F_19 D_0 V_17 D_7 V_18 D_7 V_19 D_7 V_66 D_7 V_27 D_1', 'type': 'generic', 'doc': 'collected intensities', 'network': 'macroscopic', 'incidence_list': ['17', '18', '19', '27', '66']}}",
      "index_structures": "[]",
      "label": "intensities",
      "network": "macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "secondaryState",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "127": {
      "aliases": "{'global_ID': ' V_127', 'python': 'one_S', 'cpp': 'one_S', 'matlab': 'one_S', 'latex': '{1}', 'internal_code': 'one_S'}",
      "doc": "a vector of ones with the length of the ordinal number of S",
      "equations": "{}",
      "index_structures": "[3]",
      "label": "one_S",
      "network": "macroscopic",
      "port_variable": "True",
      "tokens": "[]",
      "type": "constant",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "128": {
      "aliases": "{'global_ID': ' V_128', 'python': 'nTotal', 'cpp': 'nTotal', 'matlab': 'nTotal', 'latex': '{n^t}', 'internal_code': 'nTotal'}",
      "doc": "total number of moles",
      "equations": "{107: {'rhs': ' V_127 O_5 I_3 O_14 I_5 O_5 V_16', 'type': 'generic', 'doc': 'total number of moles', 'network': 'macroscopic', 'incidence_list': ['127', '16']}}",
      "index_structures": "[1]",
      "label": "nTotal",
      "network": "macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "secondaryState",
      "units": "[0, 0, 1, 0, 0, 0, 0, 0]"
    },
    "129": {
      "aliases": "{'global_ID': ' V_129', 'python': 'A', 'cpp': 'A', 'matlab': 'A', 'latex': 'A', 'internal_code': 'A'}",
      "doc": "dynamic matrix",
      "equations": "{}",
      "index_structures": "[1, 9]",
      "label": "A",
      "network": "control",
      "port_variable": "True",
      "tokens": "[]",
      "type": "constant",
      "units": "[-1, 0, 0, 0, 0, 0, 0, 0]"
    },
    "130": {
      "aliases": "{'global_ID': ' V_130', 'python': 'B', 'cpp': 'B', 'matlab': 'B', 'latex': 'B', 'internal_code': 'B'}",
      "doc": "input matrix",
      "equations": "{}",
      "index_structures": "[2, 9]",
      "label": "B",
      "network": "control",
      "port_variable": "True",
      "tokens": "[]",
      "type": "constant",
      "units": "[-1, 0, 0, 0, 0, 0, 0, 0]"
    },
    "131": {
      "aliases": "{'global_ID': ' V_131', 'python': 'C', 'cpp': 'C', 'matlab': 'C', 'latex': 'C', 'internal_code': 'C'}",
      "doc": "measurement matrix",
      "equations": "{}",
      "index_structures": "[1, 2]",
      "label": "C",
      "network": "control",
      "port_variable": "True",
      "tokens": "[]",
      "type": "constant",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "132": {
      "aliases": "{'global_ID': ' V_132', 'python': 'D', 'cpp': 'D', 'matlab': 'D', 'latex': 'D', 'internal_code': 'D'}",
      "doc": "diagonal event matrix (no dimensional problems)",
      "equations": "{}",
      "index_structures": "[2]",
      "label": "D",
      "network": "control",
      "port_variable": "True",
      "tokens": "[]",
      "type": "constant",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "133": {
      "aliases": "{'global_ID': ' V_133', 'python': 'setPoint', 'cpp': 'setPoint', 'matlab': 'setPoint', 'latex': '{y^o}', 'internal_code': 'setPoint'}",
      "doc": "set point",
      "equations": "{119: {'rhs': ' O_11 D_0 V_133 D_7 V_1 D_1', 'type': 'generic', 'doc': 'set point', 'network': 'control', 'incidence_list': ['1', '133']}}",
      "index_structures": "[2]",
      "label": "setPoint",
      "network": "control",
      "port_variable": "True",
      "tokens": "[]",
      "type": "constant",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "134": {
      "aliases": "{'global_ID': ' V_134', 'python': 'meas', 'cpp': 'meas', 'matlab': 'meas', 'latex': 'm', 'internal_code': 'meas'}",
      "doc": "measurements",
      "equations": "{}",
      "index_structures": "[2]",
      "label": "meas",
      "network": "control",
      "port_variable": "True",
      "tokens": "[]",
      "type": "constant",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "135": {
      "aliases": "{'global_ID': ' V_135', 'python': 'e', 'cpp': 'e', 'matlab': 'e', 'latex': 'e', 'internal_code': 'e'}",
      "doc": "control error",
      "equations": "{108: {'rhs': ' V_134 O_1 V_133', 'type': 'generic', 'doc': 'control error', 'network': 'control', 'incidence_list': ['133', '134']}}",
      "index_structures": "[2]",
      "label": "e",
      "network": "control",
      "port_variable": "False",
      "tokens": "[]",
      "type": "constant",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "136": {
      "aliases": "{'global_ID': ' V_136', 'python': 'x', 'cpp': 'x', 'matlab': 'x', 'latex': 'x', 'internal_code': 'x'}",
      "doc": "state",
      "equations": "{111: {'rhs': ' O_9 D_0 V_139  O_5  I_9 O_5  V_138 D_8 V_5 O_14 D_2 V_6 D_7 V_7 D_3 D_1', 'type': 'generic', 'doc': 'state', 'network': 'control', 'incidence_list': ['138', '139', '5', '6', '7']}}",
      "index_structures": "[1]",
      "label": "x",
      "network": "control",
      "port_variable": "True",
      "tokens": "[]",
      "type": "state",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "137": {
      "aliases": "{'global_ID': ' V_137', 'python': 'xo', 'cpp': 'xo', 'matlab': 'xo', 'latex': 'xo', 'internal_code': 'xo'}",
      "doc": "initial state",
      "equations": "{109: {'rhs': ' O_11 D_0 V_136 D_7 V_1 D_1', 'type': 'generic', 'doc': 'initial state', 'network': 'control', 'incidence_list': ['1', '136']}}",
      "index_structures": "[1]",
      "label": "xo",
      "network": "control",
      "port_variable": "False",
      "tokens": "[]",
      "type": "state",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "138": {
      "aliases": "{'global_ID': ' V_138', 'python': 'dxdt', 'cpp': 'dxdt', 'matlab': 'dxdt', 'latex': '{\\\\dot{x}}', 'internal_code': 'dxdt'}",
      "doc": "differential state (ABCD) model",
      "equations": "{110: {'rhs': ' V_129  O_5  I_1 O_5  V_136 O_0 V_130  O_5  I_2 O_5  V_135', 'type': 'generic', 'doc': 'differential state (ABCD) model', 'network': 'control', 'incidence_list': ['129', '130', '135', '136']}}",
      "index_structures": "[9]",
      "label": "dxdt",
      "network": "control",
      "port_variable": "False",
      "tokens": "[]",
      "type": "diffState",
      "units": "[-1, 0, 0, 0, 0, 0, 0, 0]"
    },
    "139": {
      "aliases": "{'global_ID': ' V_139', 'python': 'I_N_D', 'cpp': 'I_N_D', 'matlab': 'I_N_D', 'latex': '1', 'internal_code': 'I_N_D'}",
      "doc": "space transformation D to N",
      "equations": "{}",
      "index_structures": "[1, 9]",
      "label": "I_N_D",
      "network": "control",
      "port_variable": "True",
      "tokens": "[]",
      "type": "constant",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "140": {
      "aliases": "{'global_ID': ' V_140', 'python': 'additive', 'cpp': 'additive', 'matlab': 'additive', 'latex': 'additive', 'internal_code': 'additive'}",
      "doc": "link variable additive to interface material >>> macroscopic",
      "equations": "{112: {'rhs': ' V_112', 'type': 'interface_link_equation', 'doc': 'interface equation', 'network': 'material >>> macroscopic', 'incidence_list': ['112']}}",
      "index_structures": "[]",
      "label": "_additive",
      "network": "material >>> macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "get",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "141": {
      "aliases": "{'global_ID': ' V_141', 'python': 'Imeasured', 'cpp': 'Imeasured', 'matlab': 'Imeasured', 'latex': '{\\\\check{I}}', 'internal_code': 'Imeasured'}",
      "doc": "measured current",
      "equations": "{113: {'rhs': ' V_119', 'type': 'generic', 'doc': 'measured current', 'network': 'control', 'incidence_list': ['119']}}",
      "index_structures": "[1]",
      "label": "Imeasured",
      "network": "control",
      "port_variable": "False",
      "tokens": "[]",
      "type": "algebraic",
      "units": "[0, 0, 0, 0, 0, 1, 0, 0]"
    },
    "142": {
      "aliases": "{'global_ID': ' V_142', 'python': 'Ue', 'cpp': 'Ue', 'matlab': 'Ue', 'latex': 'Ue', 'internal_code': 'Ue'}",
      "doc": "link variable Ue to interface macroscopic >>> control",
      "equations": "{114: {'rhs': ' V_27', 'type': 'interface_link_equation', 'doc': 'interface equation', 'network': 'macroscopic >>> control', 'incidence_list': ['27']}}",
      "index_structures": "[1]",
      "label": "_Ue",
      "network": "macroscopic >>> control",
      "port_variable": "False",
      "tokens": "[]",
      "type": "get",
      "units": "[-3, 2, 0, 1, 0, -1, 0, 0]"
    },
    "143": {
      "aliases": "{'global_ID': ' V_143', 'python': 'UeMeasured', 'cpp': 'UeMeasured', 'matlab': 'UeMeasured', 'latex': '{\\\\check{U}^e}', 'internal_code': 'UeMeasured'}",
      "doc": "measured electrical potential",
      "equations": "{115: {'rhs': ' V_142', 'type': 'generic', 'doc': 'measured electrical potential', 'network': 'control', 'incidence_list': ['142']}}",
      "index_structures": "[1]",
      "label": "UeMeasured",
      "network": "control",
      "port_variable": "False",
      "tokens": "[]",
      "type": "algebraic",
      "units": "[-3, 2, 0, 1, 0, -1, 0, 0]"
    },
    "144": {
      "aliases": "{'global_ID': ' V_144', 'python': 'addMeasured', 'cpp': 'addMeasured', 'matlab': 'addMeasured', 'latex': '{\\\\check{\\\\xi}}', 'internal_code': 'addMeasured'}",
      "doc": "measured additive fraction",
      "equations": "{116: {'rhs': ' V_124', 'type': 'generic', 'doc': 'measured additive fraction', 'network': 'control', 'incidence_list': ['124']}}",
      "index_structures": "[]",
      "label": "addMeasured",
      "network": "control",
      "port_variable": "False",
      "tokens": "[]",
      "type": "algebraic",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "145": {
      "aliases": "{'global_ID': ' V_145', 'python': 'RComputed', 'cpp': 'RComputed', 'matlab': 'RComputed', 'latex': 'RComputed', 'internal_code': 'RComputed'}",
      "doc": "measured resistance ",
      "equations": "{117: {'rhs': ' F_15 D_0 V_141 D_1 O_4 V_143', 'type': 'generic', 'doc': 'measured resistance ', 'network': 'control', 'incidence_list': ['141', '143']}}",
      "index_structures": "[1]",
      "label": "RComputed",
      "network": "control",
      "port_variable": "False",
      "tokens": "[]",
      "type": "algebraic",
      "units": "[-3, 2, 0, 1, 0, -2, 0, 0]"
    },
    "146": {
      "aliases": "{'global_ID': ' V_146', 'python': 'store', 'cpp': 'store', 'matlab': 'store', 'latex': 'store', 'internal_code': 'store'}",
      "doc": "quantities to be stored",
      "equations": "{118: {'rhs': ' F_19 D_0 V_141 D_7 V_143 D_7 V_145 D_7 V_144 D_1', 'type': 'generic', 'doc': 'quantities to be stored', 'network': 'control', 'incidence_list': ['141', '143', '144', '145']}}",
      "index_structures": "[]",
      "label": "store",
      "network": "control",
      "port_variable": "False",
      "tokens": "[]",
      "type": "algebraic",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "147": {
      "aliases": "{'global_ID': ' V_147', 'python': 'P_NK', 'cpp': 'P_NK', 'matlab': 'P_NK', 'latex': 'P', 'internal_code': 'P_NK'}",
      "doc": "reactions per node",
      "equations": "{}",
      "index_structures": "[7]",
      "label": "P_NK",
      "network": "reactions",
      "port_variable": "True",
      "tokens": "[]",
      "type": "projection",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "151": {
      "aliases": "{'global_ID': ' V_151', 'python': 'c', 'cpp': 'c', 'matlab': 'c', 'latex': 'c', 'internal_code': 'c'}",
      "doc": "concentration matrix reaction per node and species per reaction",
      "equations": "{123: {'rhs': ' V_147 O_4 D_0 V_36  O_5  I_5 O_5  V_67 D_1', 'type': 'generic', 'doc': 'var doc : ', 'network': 'reactions', 'incidence_list': ['147', '36', '67']}}",
      "index_structures": "[7, 8]",
      "label": "c",
      "network": "reactions",
      "port_variable": "False",
      "tokens": "[]",
      "type": "secondaryState",
      "units": "[0, -3, 1, 0, 0, 0, 0, 0]"
    },
    "152": {
      "aliases": "{'global_ID': ' V_152', 'python': 'co', 'cpp': 'co', 'matlab': 'co', 'latex': '{c^o}', 'internal_code': 'co'}",
      "doc": "norming concentration",
      "equations": "{124: {'rhs': ' O_11 D_0 V_151 D_7 V_1 D_1', 'type': 'generic', 'doc': 'norming concentration', 'network': 'reactions', 'incidence_list': ['1', '151']}}",
      "index_structures": "[7, 8]",
      "label": "co",
      "network": "reactions",
      "port_variable": "False",
      "tokens": "[]",
      "type": "secondaryState",
      "units": "[0, -3, 1, 0, 0, 0, 0, 0]"
    },
    "153": {
      "aliases": "{'global_ID': ' V_153', 'python': 'x', 'cpp': 'x', 'matlab': 'x', 'latex': 'x', 'internal_code': 'x'}",
      "doc": "matrix of normed, dimensionless mole fractions ",
      "equations": "{125: {'rhs': ' F_15 D_0 V_152 D_1 O_4 V_151', 'type': 'generic', 'doc': 'matrix of normed, dimensionless mole fractions ', 'network': 'reactions', 'incidence_list': ['151', '152']}}",
      "index_structures": "[7, 8]",
      "label": "x",
      "network": "reactions",
      "port_variable": "False",
      "tokens": "[]",
      "type": "secondaryState",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "154": {
      "aliases": "{'global_ID': ' V_154', 'python': 'y', 'cpp': 'y', 'matlab': 'y', 'latex': 'y', 'internal_code': 'y'}",
      "doc": "output equation",
      "equations": "{126: {'rhs': ' V_131  O_5  I_1 O_5  V_136 O_0 V_132 O_4 V_135', 'type': 'generic', 'doc': 'output equation', 'network': 'control', 'incidence_list': ['131', '132', '135', '136']}}",
      "index_structures": "[2]",
      "label": "y",
      "network": "control",
      "port_variable": "False",
      "tokens": "[]",
      "type": "algebraic",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "155": {
      "aliases": "{'global_ID': ' V_155', 'python': 'Boltzmann', 'cpp': 'Boltzmann', 'matlab': 'Boltzmann', 'latex': 'B', 'internal_code': 'Boltzmann'}",
      "doc": "Boltzmann constant",
      "equations": "{}",
      "index_structures": "[]",
      "label": "Boltzmann",
      "network": "reactions",
      "port_variable": "True",
      "tokens": "[]",
      "type": "constant",
      "units": "[-2, 2, 0, 1, -1, 0, 0, 0]"
    },
    "157": {
      "aliases": "{'global_ID': ' V_157', 'python': 'GasConstant', 'cpp': 'GasConstant', 'matlab': 'GasConstant', 'latex': 'R', 'internal_code': 'GasConstant'}",
      "doc": "gas constant",
      "equations": "{127: {'rhs': ' V_24 O_4 V_155', 'type': 'generic', 'doc': 'gas constant', 'network': 'reactions', 'incidence_list': ['155', '24']}}",
      "index_structures": "[]",
      "label": "GasConstant",
      "network": "reactions",
      "port_variable": "False",
      "tokens": "[]",
      "type": "constant",
      "units": "[-2, 2, -1, 1, -1, 0, 0, 0]"
    },
    "158": {
      "aliases": "{'global_ID': ' V_158', 'python': 'N_K_KS', 'cpp': 'N_K_KS', 'matlab': 'N_K_KS', 'latex': 'N', 'internal_code': 'N_K_KS'}",
      "doc": "stoichiometry",
      "equations": "{}",
      "index_structures": "[4, 8]",
      "label": "N_K_KS",
      "network": "reactions",
      "port_variable": "True",
      "tokens": "[]",
      "type": "constant",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "159": {
      "aliases": "{'global_ID': ' V_159', 'python': 'N_NK_KS', 'cpp': 'N_NK_KS', 'matlab': 'N_NK_KS', 'latex': 'N', 'internal_code': 'N_NK_KS'}",
      "doc": "extended stoichiometrix matrix",
      "equations": "{128: {'rhs': ' V_33  O_5  I_4 O_5  V_158', 'type': 'generic', 'doc': 'extended stoichiometrix matrix', 'network': 'reactions', 'incidence_list': ['158', '33']}}",
      "index_structures": "[7, 8]",
      "label": "N_NK_KS",
      "network": "reactions",
      "port_variable": "False",
      "tokens": "[]",
      "type": "constant",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "160": {
      "aliases": "{'global_ID': ' V_160', 'python': 'phi', 'cpp': 'phi', 'matlab': 'phi', 'latex': '\\\\phi', 'internal_code': 'phi'}",
      "doc": "probability function for reactions",
      "equations": "{129: {'rhs': ' O_10 D_0 V_153 O_2 D_0 V_159 D_1 D_7 I_8 D_1', 'type': 'generic', 'doc': 'probability function for reactions', 'network': 'reactions', 'incidence_list': ['153', '159']}}",
      "index_structures": "[7]",
      "label": "phi",
      "network": "reactions",
      "port_variable": "False",
      "tokens": "[]",
      "type": "secondaryState",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "162": {
      "aliases": "{'global_ID': ' V_162', 'python': 'P_N_NS', 'cpp': 'P_N_NS', 'matlab': 'P_N_NS', 'latex': 'P_N_NS', 'internal_code': 'P_N_NS'}",
      "doc": "projection of nodes onto the node species",
      "equations": "{}",
      "index_structures": "[1, 5]",
      "label": "P_N_NS",
      "network": "physical",
      "port_variable": "True",
      "tokens": "[]",
      "type": "projection",
      "units": "[0, 0, 0, 0, 0, 0, 0, 0]"
    },
    "163": {
      "aliases": "{'global_ID': ' V_163', 'python': 'nProd', 'cpp': 'nProd', 'matlab': 'nProd', 'latex': '\\\\tilde{n}', 'internal_code': 'nProd'}",
      "doc": "the species production term",
      "equations": "{130: {'rhs': ' V_15  O_5  I_1 O_5  D_0 V_35  O_5  I_7 O_5  D_0 D_0 V_63 O_4 V_160 D_1 O_4 D_0 V_36  O_5  I_8 O_5  V_159 D_1 D_1 D_1', 'type': 'generic', 'doc': 'the species production term', 'network': 'reactions', 'incidence_list': ['15', '159', '160', '35', '36', '63']}}",
      "index_structures": "[5]",
      "label": "nProd",
      "network": "reactions",
      "port_variable": "False",
      "tokens": "[]",
      "type": "secondaryState",
      "units": "[-1, 0, 1, 0, 0, 0, 0, 0]"
    },
    "164": {
      "aliases": "{'global_ID': ' V_164', 'python': '_nProd', 'cpp': '_nProd', 'matlab': '_nProd', 'latex': '\\\\tilde{n}', 'internal_code': '_nProd'}",
      "doc": "link variable nProd to interface reactions >>> macroscopic",
      "equations": "{131: {'rhs': ' V_163', 'type': 'interface_link_equation', 'doc': 'interface equation', 'network': 'reactions >>> macroscopic', 'incidence_list': ['163']}}",
      "index_structures": "[5]",
      "label": "_nProd",
      "network": "reactions >>> macroscopic",
      "port_variable": "False",
      "tokens": "[]",
      "type": "get",
      "units": "[-1, 0, 1, 0, 0, 0, 0, 0]"
    }
  },
  "indices": {
    "1": {
      "type": "index",
      "label": "node",
      "network": [
        "root",
        "physical",
        "reactions",
        "material",
        "macroscopic",
        "solid",
        "fluid",
        "liquid",
        "gas",
        "control"
      ],
      "aliases": {
        "global_ID": " I_1",
        "python": "N",
        "cpp": "N",
        "matlab": "N",
        "latex": "N",
        "internal_code": "N"
      },
      "tokens": null
    },
    "2": {
      "type": "index",
      "label": "arc",
      "network": [
        "root",
        "physical",
        "reactions",
        "material",
        "macroscopic",
        "solid",
        "fluid",
        "liquid",
        "gas",
        "control"
      ],
      "aliases": {
        "global_ID": " I_2",
        "python": "A",
        "cpp": "A",
        "matlab": "A",
        "latex": "A",
        "internal_code": "A"
      },
      "tokens": null
    },
    "3": {
      "type": "index",
      "label": "species",
      "network": [
        "physical",
        "reactions",
        "material",
        "macroscopic",
        "solid",
        "fluid",
        "liquid",
        "gas"
      ],
      "aliases": {
        "global_ID": " I_3",
        "python": "S",
        "cpp": "S",
        "matlab": "S",
        "latex": "S",
        "internal_code": "S"
      },
      "tokens": "mass"
    },
    "4": {
      "type": "index",
      "label": "species_conversion",
      "network": [
        "physical",
        "reactions",
        "material",
        "macroscopic",
        "solid",
        "fluid",
        "liquid",
        "gas"
      ],
      "aliases": {
        "global_ID": " I_4",
        "python": "K",
        "cpp": "K",
        "matlab": "K",
        "latex": "K",
        "internal_code": "K"
      },
      "tokens": {
        "instances": [
          "A",
          "B",
          "C",
          "D"
        ],
        "conversions": [
          {
            "reactants": [
              "A"
            ],
            "products": [
              "B"
            ]
          },
          {
            "reactants": [
              "A",
              "B"
            ],
            "products": [
              "C",
              "D"
            ]
          }
        ]
      }
    },
    "5": {
      "type": "block_index",
      "label": "node & species",
      "indices": [
        1,
        3
      ],
      "network": [
        "physical",
        "reactions",
        "material",
        "macroscopic",
        "solid",
        "fluid",
        "liquid",
        "gas"
      ],
      "aliases": {
        "global_ID": " I_5",
        "python": "N_x_S",
        "cpp": "N_x_S",
        "matlab": "N_x_S",
        "latex": "{N S}",
        "internal_code": "N & S"
      },
      "tokens": "mass"
    },
    "6": {
      "type": "block_index",
      "label": "arc & species",
      "indices": [
        2,
        3
      ],
      "network": [
        "physical",
        "reactions",
        "material",
        "macroscopic",
        "solid",
        "fluid",
        "liquid",
        "gas"
      ],
      "aliases": {
        "global_ID": " I_6",
        "python": "A_x_S",
        "cpp": "A_x_S",
        "matlab": "A_x_S",
        "latex": "{A S}",
        "internal_code": "A & S"
      },
      "tokens": "mass"
    },
    "7": {
      "type": "block_index",
      "label": "node & species_conversion",
      "indices": [
        1,
        4
      ],
      "network": [
        "physical",
        "reactions",
        "material",
        "macroscopic",
        "solid",
        "fluid",
        "liquid",
        "gas"
      ],
      "aliases": {
        "global_ID": " I_7",
        "python": "N_x_K",
        "cpp": "N_x_K",
        "matlab": "N_x_K",
        "latex": "{N K}",
        "internal_code": "N & K"
      },
      "tokens": {
        "instances": [
          "A",
          "B",
          "C",
          "D"
        ],
        "conversions": [
          {
            "reactants": [
              "A"
            ],
            "products": [
              "B"
            ]
          },
          {
            "reactants": [
              "A",
              "B"
            ],
            "products": [
              "C",
              "D"
            ]
          }
        ]
      }
    },
    "8": {
      "type": "block_index",
      "label": "species_conversion & species",
      "indices": [
        4,
        3
      ],
      "network": [
        "physical",
        "reactions",
        "material",
        "macroscopic",
        "solid",
        "fluid",
        "liquid",
        "gas"
      ],
      "aliases": {
        "global_ID": " I_8",
        "python": "K_x_S",
        "cpp": "K_x_S",
        "matlab": "K_x_S",
        "latex": "{K S}",
        "internal_code": "K & S"
      },
      "tokens": [
        "mass",
        {
          "instances": [
            "A",
            "B",
            "C",
            "D"
          ],
          "conversions": [
            {
              "reactants": [
                "A"
              ],
              "products": [
                "B"
              ]
            },
            {
              "reactants": [
                "A",
                "B"
              ],
              "products": [
                "C",
                "D"
              ]
            }
          ]
        }
      ]
    },
    "9": {
      "type": "index",
      "label": "diffSpace",
      "network": [
        "control"
      ],
      "aliases": {
        "global_ID": " I_9",
        "python": "D",
        "cpp": "D",
        "matlab": "D",
        "latex": "D",
        "internal_code": "D"
      },
      "tokens": null
    }
  },
  "Ontology_global_IDs": {
    "variable": 164,
    "equation": 131
  }
}