DallaMan2006 - Glucose Insulin System
Description
This is a A simulation model of the glucose-insulin system in the postprandial state in SBML format.
This model is described in the article:
Abstract:
Asimulation model of the glucose-insulin system in the postprandial state can be useful in several circumstances, including testing of glucose sensors, insulin infusion algorithms and decision support systems for diabetes. Here, we present a new simulation model in normal humans that describes the physiological events that occur after a meal, by employing the quantitative knowledge that has become available in recent years. Model parameters were set to fit the mean data of a large normal subject database that underwent a triple tracer meal protocol which provided quasi-modelindependent estimates of major glucose and insulin fluxes, e.g., meal rate of appearance, endogenous glucose production, utilization of glucose, insulin secretion.
Terms of use
Redistribution and use of any part of this model, with or without modification, are permitted provided that the following conditions are met:
- Redistributions of this SBML file must retain the above copyright notice, this list of conditions and the following disclaimer.
- Redistributions in a different form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution.
Model : DallaMan2006_2
CreatorMatthias, Koenig, Humboldt-University Berlin, Institute for Theoretical Biology, koenigmx@hu-berlin.de
Created: 2019-03-06 09:28
Modified: 2019-03-06 09:28
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type | UnitDefinitions [19] | name | units | sbo | cvterm |
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UnitDefinition | kg
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UnitDefinition | m
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UnitDefinition | m2
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UnitDefinition | m3
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UnitDefinition | min
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UnitDefinition | per_min
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UnitDefinition | l_per_kg
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UnitDefinition | dl_per_kg
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UnitDefinition | mg_per_kg
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UnitDefinition | mg_per_dl
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UnitDefinition | pmol_per_kg
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UnitDefinition | pmol_per_l
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UnitDefinition | pmol_per_kgmin
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UnitDefinition | minkg_per_pmol
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UnitDefinition | mg_per_kgmin
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UnitDefinition | mgl_per_kgminpmol
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UnitDefinition | mg_per_minpmol
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UnitDefinition | pmolmg_per_kgdl
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UnitDefinition | pmolmg_per_kgmindl
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type | Parameters [73] | name | constant | value | unit | derived unit | sbo | cvterm |
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Parameter | Gp
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glucose plasma | F | 178.0 | mg_per_kg | |||
Parameter | Gt
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glucose tissue | F | 135.0 | mg_per_kg | |||
Parameter | Il
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insulin mass liver | F | 4.5 | pmol_per_kg | |||
Parameter | Ip
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insulin mass plasma | F | 1.25 | pmol_per_kg | |||
Parameter | Qsto1
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F | 78000.0 | None | ||||
Parameter | Qsto2
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F | 0.0 | None | ||||
Parameter | Qgut
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F | 0.0 | None | ||||
Parameter | I1
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F | 25.0 | None | ||||
Parameter | Id
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delayed insulin | F | 25.0 | pmol_per_l | |||
Parameter | INS
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F | 0.0 | None | ||||
Parameter | Ipo
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insulin portal vein | F | 3.6 | pmol_per_kg | |||
Parameter | Y
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F | 0.0 | None | ||||
Parameter | BW
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body weight | T | 78.0 | kg | |||
Parameter | D
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T | 78000.0 | None | ||||
Parameter | V_G
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V_G distribution volume glucose | T | 1.88 | dl_per_kg | |||
Parameter | k_1
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k_1 glucose kinetics | T | 0.065 | per_min | |||
Parameter | k_2
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k_2 glucose kinetics | T | 0.079 | per_min | |||
Parameter | G_b
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T | 95.0 | None | ||||
Parameter | V_I
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V_I distribution volume insulin | T | 0.05 | l_per_kg | |||
Parameter | m_1
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T | 0.19 | per_min | ||||
Parameter | m_2
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T | 0.484 | per_min | ||||
Parameter | m_4
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T | 0.194 | per_min | ||||
Parameter | m_5
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T | 0.0304 | minkg_per_pmol | ||||
Parameter | m_6
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T | 0.6471 | dimensionless | None | |||
Parameter | HE_b
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T | 0.6 | dimensionless | None | |||
Parameter | I_b
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T | 25.0 | None | ||||
Parameter | S_b
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T | 1.8 | None | ||||
Parameter | k_max
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T | 0.0558 | per_min | ||||
Parameter | k_min
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T | 0.008 | per_min | ||||
Parameter | k_abs
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T | 0.057 | per_min | ||||
Parameter | k_gri
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T | 0.0558 | per_min | ||||
Parameter | f
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T | 0.9 | dimensionless | None | |||
Parameter | b
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T | 0.82 | dimensionless | None | |||
Parameter | d
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T | 0.01 | dimensionless | None | |||
Parameter | k_p1
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T | 2.7 | mg_per_kgmin | ||||
Parameter | k_p2
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T | 0.0021 | per_min | ||||
Parameter | k_p3
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T | 0.009 | mgl_per_kgminpmol | ||||
Parameter | k_p4
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T | 0.0618 | mg_per_minpmol | ||||
Parameter | k_i
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T | 0.0079 | per_min | ||||
Parameter | U_ii
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insulin independent glucose utilization | T | 1.0 | mg_per_kgmin | |||
Parameter | V_m0
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T | 2.5 | mg_per_kgmin | ||||
Parameter | V_mX
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T | 0.047 | mgl_per_kgminpmol | ||||
Parameter | K_m0
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T | 225.59 | mg_per_kg | ||||
Parameter | V_f0
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T | 2.5 | mg_per_kgmin | ||||
Parameter | V_fX
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T | 0.047 | mgl_per_kgminpmol | ||||
Parameter | K_f0
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T | 225.59 | mg_per_kg | ||||
Parameter | p_2U
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T | 0.0331 | per_min | ||||
Parameter | part
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T | 0.2 | None | ||||
Parameter | K
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T | 2.3 | pmolmg_per_kgdl | ||||
Parameter | alpha
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T | 0.05 | per_min | ||||
Parameter | beta
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T | 0.11 | pmolmg_per_kgmindl | ||||
Parameter | gamma
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T | 0.5 | per_min | ||||
Parameter | k_e1
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T | 0.0005 | per_min | ||||
Parameter | k_e2
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T | 339.0 | mg_per_kg | ||||
Parameter | aa
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F | None | |||||
Parameter | cc
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F | None | |||||
Parameter | EGP
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EGP endogenous glucose production | F | mg_per_kgmin | ||||
Parameter | V_mmax
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F | None | |||||
Parameter | V_fmax
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F | None | |||||
Parameter | E
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renal excretion | F | mg_per_kgmin | ||||
Parameter | S
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S insulin secretion | F | pmol_per_kgmin | ||||
Parameter | I
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I plasma insulin | F | pmol_per_l | ||||
Parameter | G
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G plasma Glucose | F | mg_per_dl | ||||
Parameter | HE
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HE hepatic extraction insulin | F | dimensionless | None | |||
Parameter | m_3
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F | per_min | |||||
Parameter | Q_sto
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F | None | |||||
Parameter | Ra
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Ra glucose rate of appearance | F | mg_per_kgmin | ||||
Parameter | k_empt
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F | None | |||||
Parameter | U_idm
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F | mg_per_kgmin | |||||
Parameter | U_idf
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F | mg_per_kgmin | |||||
Parameter | U_id
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insulin dependent glucose utilization | F | mg_per_kgmin | ||||
Parameter | U
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U glucose uptake | F | mg_per_kgmin | ||||
Parameter | S_po
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F | None |
type | Rules [31] | assignment | name | derived units | sbo | cvterm | |
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Rule | aa
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= | None | ||||
Rule | cc
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= | None | ||||
Rule | EGP
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= | |||||
Rule | V_mmax
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= | |||||
Rule | V_fmax
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= | |||||
Rule | E
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= | None | ||||
Rule | S
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= | |||||
Rule | I
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= | |||||
Rule | G
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= | |||||
Rule | HE
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= | None | ||||
Rule | m_3
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= | |||||
Rule | Q_sto
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= | None | ||||
Rule | Ra
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= | |||||
Rule | k_empt
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= | |||||
Rule | U_idm
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= | None | ||||
Rule | U_idf
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= | None | ||||
Rule | U_id
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= | |||||
Rule | U
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= | |||||
Rule | S_po
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= | None | ||||
Rule | d Gp/dt
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= | |||||
Rule | d Gt/dt
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= | |||||
Rule | d Il/dt
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= | |||||
Rule | d Ip/dt
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= | |||||
Rule | d Qsto1/dt
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= | |||||
Rule | d Qsto2/dt
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= | |||||
Rule | d Qgut/dt
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= | None | ||||
Rule | d I1/dt
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= | |||||
Rule | d Id/dt
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= | |||||
Rule | d INS/dt
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= | |||||
Rule | d Ipo/dt
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= | |||||
Rule | d Y/dt
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= |