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Title

Dynamics and Control of Plasma Retinol

Authors

Michael H. Green and Joanne Balmer Green

Affiliations

Abstract

Journal

Vitamin A in Health and Disease, CRC Press, 1994, https://doi.org/10.1201/9781482277562

Unit definitions have no effect on the numerical analysis of the model. It remains the responsibility of the modeler to ensure the internal numerical consistency of the model. If units are provided, however, the consistency of the model units will be checked.

Name Definition
Id Name Spatial dimensions Size
default 1.0
Id Name Initial quantity Compartment Fixed
M1 0.0 default
M10 1.0 default
M2 0.0 default
M20 0.0 default
M3 0.0 default
M30 0.0 default

Initial assignments are expressions that are evaluated at time=0. It is not recommended to create initial assignments for all model entities. Restrict the use of initial assignments to cases where a value is expressed in terms of values or sizes of other model entities. Note that it is not permitted to have both an initial assignment and an assignment rule for a single model entity.

Definition
Id Name Objective coefficient Reaction Equation and Kinetic Law Flux bounds
l12 M2 = M1

comp*Functionforl12(L12, M2, comp)
l120 M20 = M10

comp*Functionforl120(L12, M20, comp)
l13 M3 = M1

comp*Functionforl13(L13, M3, comp)
l130 M30 = M10

comp*Functionforl130(L13, M30, comp)
l21 M1 = M2

comp*Functionforl21(L21, M1, comp)
l210 M10 = M20

comp*Functionforl210(L21, M10, comp)
l31 M1 = M3

comp*Functionforl31(L31, M1, comp)
l310 M10 = M30

comp*Functionforl310(L31, M10, comp)
u2 ∅ = M2

comp*Functionforu2(U2, comp)
w3 M3 = ∅

comp*Functionforw3(M3, W3, comp)
w30 M30 = ∅

comp*Functionforw30(M30, W3, comp)

Global parameters

Id Value
L12 0.0102
L13 0.287
L21 1.58
L31 2.68
U2 5.97902097902
W3 0.169
comp 1.0

Local parameters

Id Value Reaction

Assignment rules

Definition

Rate rules

Definition

Algebraic rules

Definition
Definition
Functionforl310(L31, M10, comp) = (L31*M10)/comp
Functionforl13(L13, M3, comp) = (L13*M3)/comp
Functionforw3(M3, W3, comp) = (M3*W3)/comp
Functionforl130(L13, M30, comp) = (L13*M30)/comp
Functionforl21(L21, M1, comp) = (L21*M1)/comp
Functionforw30(M30, W3, comp) = (M30*W3)/comp
Functionforu2(U2, comp) = U2/comp
Functionforl120(L12, M20, comp) = (L12*M20)/comp
Functionforl31(L31, M1, comp) = (L31*M1)/comp
Functionforl12(L12, M2, comp) = (L12*M2)/comp
Functionforl210(L21, M10, comp) = (L21*M10)/comp
Trigger Assignments