Location: SLC transporters @ 65898d4880ef / Facilitated transporter / SLC2_BG.json
- Author:
- Weiwei Ai <wai484@aucklanduni.ac.nz>
- Date:
- 2024-10-21 14:11:01+13:00
- Desc:
- Modify SGLT1_BG_fast.cellml to allow users to modify test_volt and Glco in the simulation tab.
- Permanent Source URI:
- http://models.cellml.org/workspace/b65/rawfile/65898d4880efb52227f2860ddafb4c8cde585d47/Facilitated transporter/SLC2_BG.json
{
"Ai": {
"description": "Concentration of Chemical Species",
"domain": "biochemical",
"id": "Ce",
"metamodel": "C",
"ports": {
"0": {
"description": "Power port 0",
"type": "Power",
"direction": "in",
"causality": "e_out",
"in": [
[
"r4",
"1",
"1"
]
],
"out": []
}
},
"params": {
"K": {
"description": "Biochemical Constant; exp(mu_0/RT)/V",
"units": "per_fmol",
"symbol": "K_Ai",
"value": "1.496e+02"
},
"R": {
"description": "Universal Gas Constant",
"units": "J_per_K_mol",
"symbol": "R",
"value": 8.31
},
"T": {
"description": "Temperature",
"units": "kelvin",
"symbol": "T",
"value": 293
},
"q_init": {
"description": "Initial Molar Quantity",
"units": "fmol",
"symbol": "q_init_Ai",
"value": 1
}
},
"vars": {
"e_0": {
"description": "Generalised Potential",
"units": "J_per_mol",
"symbol": "mu_Ai"
},
"f_0": {
"description": "Generalised Flow ",
"units": "fmol_per_s",
"symbol": "v_Ai",
"expression": "v_r4"
},
"q_0": {
"description": "Molar Quantity",
"units": "fmol",
"symbol": "q_Ai",
"initial value": "q_init"
},
"voi": {
"description": "Time",
"units": "second",
"symbol": "t"
}
},
"constitutive_relations": [
"e_0 - R*T*log(K*q_0)",
"ode(q_0,t) - f_0"
],
"conservation_eqs": [
[
"v_Ai",
"v_r4",
""
]
],
"constitutive_eqs": [
[
"mu_Ai",
"R*T*log(K_Ai*q_Ai)",
""
],
[
"q_Ai",
"v_r4",
"t"
]
]
},
"Ao": {
"description": "Concentration of Chemical Species",
"domain": "biochemical",
"id": "Ce",
"metamodel": "C",
"ports": {
"0": {
"description": "Power port 0",
"type": "Power",
"direction": "in",
"causality": "e_out",
"in": [],
"out": [
[
"r3",
"0",
"1"
]
]
}
},
"params": {
"K": {
"description": "Biochemical Constant; exp(mu_0/RT)/V",
"units": "per_fmol",
"symbol": "K_Ao",
"value": "1.496e+02"
},
"R": {
"description": "Universal Gas Constant",
"units": "J_per_K_mol",
"symbol": "R",
"value": 8.31
},
"T": {
"description": "Temperature",
"units": "kelvin",
"symbol": "T",
"value": 293
},
"q_init": {
"description": "Initial Molar Quantity",
"units": "fmol",
"symbol": "q_init_Ao",
"value": 1
}
},
"vars": {
"e_0": {
"description": "Generalised Potential",
"units": "J_per_mol",
"symbol": "mu_Ao"
},
"f_0": {
"description": "Generalised Flow ",
"units": "fmol_per_s",
"symbol": "v_Ao",
"expression": "-v_r3"
},
"q_0": {
"description": "Molar Quantity",
"units": "fmol",
"symbol": "q_Ao",
"initial value": "q_init"
},
"voi": {
"description": "Time",
"units": "second",
"symbol": "t"
}
},
"constitutive_relations": [
"e_0 - R*T*log(K*q_0)",
"ode(q_0,t) - f_0"
],
"conservation_eqs": [
[
"v_Ao",
"-v_r3",
""
]
],
"constitutive_eqs": [
[
"mu_Ao",
"R*T*log(K_Ao*q_Ao)",
""
],
[
"q_Ao",
"-v_r3",
"t"
]
]
},
"1": {
"description": "Concentration of Chemical Species",
"domain": "biochemical",
"id": "Ce",
"metamodel": "C",
"ports": {
"0": {
"description": "Power port 0",
"type": "Power",
"direction": "in",
"causality": "e_out",
"in": [
[
"r1",
"1",
"1"
]
],
"out": [
[
"r3",
"0",
"1"
]
]
}
},
"params": {
"K": {
"description": "Biochemical Constant; exp(mu_0/RT)/V",
"units": "per_fmol",
"symbol": "K_1",
"value": "33.196"
},
"R": {
"description": "Universal Gas Constant",
"units": "J_per_K_mol",
"symbol": "R",
"value": 8.31
},
"T": {
"description": "Temperature",
"units": "kelvin",
"symbol": "T",
"value": 293
},
"q_init": {
"description": "Initial Molar Quantity",
"units": "fmol",
"symbol": "q_init_1",
"value": 1
}
},
"vars": {
"e_0": {
"description": "Generalised Potential",
"units": "J_per_mol",
"symbol": "mu_1"
},
"f_0": {
"description": "Generalised Flow ",
"units": "fmol_per_s",
"symbol": "v_1",
"expression": "v_r1 - v_r3"
},
"q_0": {
"description": "Molar Quantity",
"units": "fmol",
"symbol": "q_1",
"initial value": "q_init"
},
"voi": {
"description": "Time",
"units": "second",
"symbol": "t"
}
},
"constitutive_relations": [
"e_0 - R*T*log(K*q_0)",
"ode(q_0,t) - f_0"
],
"conservation_eqs": [
[
"v_1",
"v_r1 - v_r3",
""
]
],
"constitutive_eqs": [
[
"mu_1",
"R*T*log(K_1*q_1)",
""
],
[
"q_1",
"v_r1 - v_r3",
"t"
]
]
},
"2": {
"description": "Concentration of Chemical Species",
"domain": "biochemical",
"id": "Ce",
"metamodel": "C",
"ports": {
"0": {
"description": "Power port 0",
"type": "Power",
"direction": "in",
"causality": "e_out",
"in": [
[
"r3",
"1",
"1"
]
],
"out": [
[
"r2",
"0",
"1"
]
]
}
},
"params": {
"K": {
"description": "Biochemical Constant; exp(mu_0/RT)/V",
"units": "per_fmol",
"symbol": "K_2",
"value": "4.247e+03"
},
"R": {
"description": "Universal Gas Constant",
"units": "J_per_K_mol",
"symbol": "R",
"value": 8.31
},
"T": {
"description": "Temperature",
"units": "kelvin",
"symbol": "T",
"value": 293
},
"q_init": {
"description": "Initial Molar Quantity",
"units": "fmol",
"symbol": "q_init_2",
"value": 1
}
},
"vars": {
"e_0": {
"description": "Generalised Potential",
"units": "J_per_mol",
"symbol": "mu_2"
},
"f_0": {
"description": "Generalised Flow ",
"units": "fmol_per_s",
"symbol": "v_2",
"expression": "-v_r2 + v_r3"
},
"q_0": {
"description": "Molar Quantity",
"units": "fmol",
"symbol": "q_2",
"initial value": "q_init"
},
"voi": {
"description": "Time",
"units": "second",
"symbol": "t"
}
},
"constitutive_relations": [
"e_0 - R*T*log(K*q_0)",
"ode(q_0,t) - f_0"
],
"conservation_eqs": [
[
"v_2",
"-v_r2 + v_r3",
""
]
],
"constitutive_eqs": [
[
"mu_2",
"R*T*log(K_2*q_2)",
""
],
[
"q_2",
"-v_r2 + v_r3",
"t"
]
]
},
"3": {
"description": "Concentration of Chemical Species",
"domain": "biochemical",
"id": "Ce",
"metamodel": "C",
"ports": {
"0": {
"description": "Power port 0",
"type": "Power",
"direction": "in",
"causality": "e_out",
"in": [
[
"r2",
"1",
"1"
]
],
"out": [
[
"r4",
"0",
"1"
]
]
}
},
"params": {
"K": {
"description": "Biochemical Constant; exp(mu_0/RT)/V",
"units": "per_fmol",
"symbol": "K_3",
"value": "3.446e+02"
},
"R": {
"description": "Universal Gas Constant",
"units": "J_per_K_mol",
"symbol": "R",
"value": 8.31
},
"T": {
"description": "Temperature",
"units": "kelvin",
"symbol": "T",
"value": 293
},
"q_init": {
"description": "Initial Molar Quantity",
"units": "fmol",
"symbol": "q_init_3",
"value": 1
}
},
"vars": {
"e_0": {
"description": "Generalised Potential",
"units": "J_per_mol",
"symbol": "mu_3"
},
"f_0": {
"description": "Generalised Flow ",
"units": "fmol_per_s",
"symbol": "v_3",
"expression": "v_r2 - v_r4"
},
"q_0": {
"description": "Molar Quantity",
"units": "fmol",
"symbol": "q_3",
"initial value": "q_init"
},
"voi": {
"description": "Time",
"units": "second",
"symbol": "t"
}
},
"constitutive_relations": [
"e_0 - R*T*log(K*q_0)",
"ode(q_0,t) - f_0"
],
"conservation_eqs": [
[
"v_3",
"v_r2 - v_r4",
""
]
],
"constitutive_eqs": [
[
"mu_3",
"R*T*log(K_3*q_3)",
""
],
[
"q_3",
"v_r2 - v_r4",
"t"
]
]
},
"4": {
"description": "Concentration of Chemical Species",
"domain": "biochemical",
"id": "Ce",
"metamodel": "C",
"ports": {
"0": {
"description": "Power port 0",
"type": "Power",
"direction": "in",
"causality": "e_out",
"in": [
[
"r4",
"1",
"1"
]
],
"out": [
[
"r1",
"0",
"1"
]
]
}
},
"params": {
"K": {
"description": "Biochemical Constant; exp(mu_0/RT)/V",
"units": "per_fmol",
"symbol": "K_4",
"value": "1.992"
},
"R": {
"description": "Universal Gas Constant",
"units": "J_per_K_mol",
"symbol": "R",
"value": 8.31
},
"T": {
"description": "Temperature",
"units": "kelvin",
"symbol": "T",
"value": 293
},
"q_init": {
"description": "Initial Molar Quantity",
"units": "fmol",
"symbol": "q_init_4",
"value": 1
}
},
"vars": {
"e_0": {
"description": "Generalised Potential",
"units": "J_per_mol",
"symbol": "mu_4"
},
"f_0": {
"description": "Generalised Flow ",
"units": "fmol_per_s",
"symbol": "v_4",
"expression": "-v_r1 + v_r4"
},
"q_0": {
"description": "Molar Quantity",
"units": "fmol",
"symbol": "q_4",
"initial value": "q_init"
},
"voi": {
"description": "Time",
"units": "second",
"symbol": "t"
}
},
"constitutive_relations": [
"e_0 - R*T*log(K*q_0)",
"ode(q_0,t) - f_0"
],
"conservation_eqs": [
[
"v_4",
"-v_r1 + v_r4",
""
]
],
"constitutive_eqs": [
[
"mu_4",
"R*T*log(K_4*q_4)",
""
],
[
"q_4",
"-v_r1 + v_r4",
"t"
]
]
},
"r1": {
"description": "Biochemical Reaction",
"domain": "biochemical",
"id": "Re",
"metamodel": "R",
"ports": {
"0": {
"description": "Power port 0",
"type": "Power",
"direction": "in",
"causality": "e_in",
"in": [
[
"4",
"0",
"1"
]
],
"out": []
},
"1": {
"description": "Power port 1",
"type": "Power",
"direction": "out",
"causality": "e_in",
"in": [],
"out": [
[
"1",
"0",
"1"
]
]
}
},
"params": {
"kappa": {
"description": "Reaction Rate",
"units": "fmol_per_s",
"value": "0.365",
"symbol": "kappa_r1"
},
"R": {
"description": "Universal Gas Constant",
"value": 8.31,
"units": "J_per_K_mol",
"symbol": "R"
},
"T": {
"description": "Temperature",
"value": 293,
"units": "kelvin",
"symbol": "T"
}
},
"vars": {
"e_0": {
"description": "Generalised Potential",
"units": "J_per_mol",
"symbol": "Af_r1",
"expression": "mu_4"
},
"f_0": {
"description": "Generalised Flow",
"units": "fmol_per_s",
"symbol": "v_r1"
},
"e_1": {
"description": "Generalised Potential",
"units": "J_per_mol",
"symbol": "Ar_r1",
"expression": "mu_1"
},
"f_1": {
"description": "Generalised Flow",
"units": "fmol_per_s",
"symbol": "v_r1"
}
},
"constitutive_relations": [
"f_0 - kappa*(exp(e_0/R/T) - exp(e_1/R/T))"
],
"conservation_eqs": [
[
"Af_r1",
"mu_4",
""
],
[
"Ar_r1",
"mu_1",
""
]
],
"constitutive_eqs": [
[
"v_r1",
"kappa_r1*(-exp(mu_1/(R*T)) + exp(mu_4/(R*T)))",
""
]
]
},
"r2": {
"description": "Biochemical Reaction",
"domain": "biochemical",
"id": "Re",
"metamodel": "R",
"ports": {
"0": {
"description": "Power port 0",
"type": "Power",
"direction": "in",
"causality": "e_in",
"in": [
[
"2",
"0",
"1"
]
],
"out": []
},
"1": {
"description": "Power port 1",
"type": "Power",
"direction": "out",
"causality": "e_in",
"in": [],
"out": [
[
"3",
"0",
"1"
]
]
}
},
"params": {
"kappa": {
"description": "Reaction Rate",
"units": "fmol_per_s",
"value": "0.262",
"symbol": "kappa_r2"
},
"R": {
"description": "Universal Gas Constant",
"value": 8.31,
"units": "J_per_K_mol",
"symbol": "R"
},
"T": {
"description": "Temperature",
"value": 293,
"units": "kelvin",
"symbol": "T"
}
},
"vars": {
"e_0": {
"description": "Generalised Potential",
"units": "J_per_mol",
"symbol": "Af_r2",
"expression": "mu_2"
},
"f_0": {
"description": "Generalised Flow",
"units": "fmol_per_s",
"symbol": "v_r2"
},
"e_1": {
"description": "Generalised Potential",
"units": "J_per_mol",
"symbol": "Ar_r2",
"expression": "mu_3"
},
"f_1": {
"description": "Generalised Flow",
"units": "fmol_per_s",
"symbol": "v_r2"
}
},
"constitutive_relations": [
"f_0 - kappa*(exp(e_0/R/T) - exp(e_1/R/T))"
],
"conservation_eqs": [
[
"Af_r2",
"mu_2",
""
],
[
"Ar_r2",
"mu_3",
""
]
],
"constitutive_eqs": [
[
"v_r2",
"kappa_r2*(exp(mu_2/(R*T)) - exp(mu_3/(R*T)))",
""
]
]
},
"r3": {
"description": "Biochemical Reaction",
"domain": "biochemical",
"id": "Re",
"metamodel": "R",
"ports": {
"0": {
"description": "Power port 0",
"type": "Power",
"direction": "in",
"causality": "e_in",
"in": [
[
"Ao",
"0",
"1"
],
[
"1",
"0",
"1"
]
],
"out": []
},
"1": {
"description": "Power port 1",
"type": "Power",
"direction": "out",
"causality": "e_in",
"in": [],
"out": [
[
"2",
"0",
"1"
]
]
}
},
"params": {
"kappa": {
"description": "Reaction Rate",
"units": "fmol_per_s",
"value": "1.007e+05",
"symbol": "kappa_r3"
},
"R": {
"description": "Universal Gas Constant",
"value": 8.31,
"units": "J_per_K_mol",
"symbol": "R"
},
"T": {
"description": "Temperature",
"value": 293,
"units": "kelvin",
"symbol": "T"
}
},
"vars": {
"e_0": {
"description": "Generalised Potential",
"units": "J_per_mol",
"symbol": "Af_r3",
"expression": "mu_1 + mu_Ao"
},
"f_0": {
"description": "Generalised Flow",
"units": "fmol_per_s",
"symbol": "v_r3"
},
"e_1": {
"description": "Generalised Potential",
"units": "J_per_mol",
"symbol": "Ar_r3",
"expression": "mu_2"
},
"f_1": {
"description": "Generalised Flow",
"units": "fmol_per_s",
"symbol": "v_r3"
}
},
"constitutive_relations": [
"f_0 - kappa*(exp(e_0/R/T) - exp(e_1/R/T))"
],
"conservation_eqs": [
[
"Af_r3",
"mu_1 + mu_Ao",
""
],
[
"Ar_r3",
"mu_2",
""
]
],
"constitutive_eqs": [
[
"v_r3",
"kappa_r3*(-exp(mu_2/(R*T)) + exp((mu_1 + mu_Ao)/(R*T)))",
""
]
]
},
"r4": {
"description": "Biochemical Reaction",
"domain": "biochemical",
"id": "Re",
"metamodel": "R",
"ports": {
"0": {
"description": "Power port 0",
"type": "Power",
"direction": "in",
"causality": "e_in",
"in": [
[
"3",
"0",
"1"
]
],
"out": []
},
"1": {
"description": "Power port 1",
"type": "Power",
"direction": "out",
"causality": "e_in",
"in": [],
"out": [
[
"Ai",
"0",
"1"
],
[
"4",
"0",
"1"
]
]
}
},
"params": {
"kappa": {
"description": "Reaction Rate",
"units": "fmol_per_s",
"value": "1.007e+04",
"symbol": "kappa_r4"
},
"R": {
"description": "Universal Gas Constant",
"value": 8.31,
"units": "J_per_K_mol",
"symbol": "R"
},
"T": {
"description": "Temperature",
"value": 293,
"units": "kelvin",
"symbol": "T"
}
},
"vars": {
"e_0": {
"description": "Generalised Potential",
"units": "J_per_mol",
"symbol": "Af_r4",
"expression": "mu_3"
},
"f_0": {
"description": "Generalised Flow",
"units": "fmol_per_s",
"symbol": "v_r4"
},
"e_1": {
"description": "Generalised Potential",
"units": "J_per_mol",
"symbol": "Ar_r4",
"expression": "mu_4 + mu_Ai"
},
"f_1": {
"description": "Generalised Flow",
"units": "fmol_per_s",
"symbol": "v_r4"
}
},
"constitutive_relations": [
"f_0 - kappa*(exp(e_0/R/T) - exp(e_1/R/T))"
],
"conservation_eqs": [
[
"Af_r4",
"mu_3",
""
],
[
"Ar_r4",
"mu_4 + mu_Ai",
""
]
],
"constitutive_eqs": [
[
"v_r4",
"kappa_r4*(exp(mu_3/(R*T)) - exp((mu_4 + mu_Ai)/(R*T)))",
""
]
]
}
}