# Model Mathematics

### Component: v1

$v1 = Vmax ⁢ GL Km + GL$

### Component: v2

$v2 = Vmax ⁢ O2 Km + O2$

### Component: v3

$v3 = k3 ⁢ FA$$k3 = Vmax ⁢ PS -1 PS0 -1 + PS -1$

### Component: v4

$v4 = k4 ⁢ FA$$k4 = Vmax ⁢ epsilon ⁢ AF -1 AF0 -1 + AF -1 + 1 - epsilon ⁢ RS -1 RS0 -1 + RS -1$

### Component: v5

$v5 = k5 ⁢ GP$$k5 = Vmax ⁢ epsilon ⁢ PS PS0 + PS + 1 - epsilon ⁢ RS -1 RS0 -1 + RS -1$

### Component: v6

$v6 = k6 ⁢ GP$$k6 = Vmax ⁢ epsilon ⁢ PS -1 PS0 -1 + PS -1 + 1 - epsilon ⁢ CS -1 CS0 -1 + CS -1 2$

### Component: v7

$v7 = k7 ⁢ GY$$k7 = Vmax ⁢ epsilon ⁢ PS PS0 + PS + 1 - epsilon ⁢ CS CS0 + CS 2$

### Component: v8

$v8 = k8 ⁢ TG$$k8 = Vmax$

### Component: v9

$v9 = k9 ⁢ PY$$k9 = Vmax ⁢ RS RS0 + RS$

### Component: v10

$v10 = k10 ⁢ PY$$k10 = Vmax ⁢ epsilon ⁢ RS -1 RS0 -1 + RS -1 + 1 - epsilon ⁢ AF -1 AF0 -1 + AF -1$

### Component: v11

$v11 = k11 ⁢ LA$$k11 = Vmax ⁢ RS -1 RS0 -1 + RS -1$

### Component: v12

$v12 = k12 ⁢ AC$$k12 = Vmax ⁢ epsilon ⁢ RS -1 RS0 -1 + RS -1 + 1 - epsilon ⁢ PS PS0 + PS$

### Component: v13

$v13 = k13 ⁢ CR$$k13 = Vmax ⁢ PS -1 PS0 -1 + PS -1$

### Component: v14

$v14 = k14 ⁢ PC$$k14 = Vmax ⁢ PS PS0 + PS$

### Component: v15

$v15 = k15 ⁢ CoA_pool$$k15 = Vmax ⁢ epsilon ⁢ RS -1 RS0 -1 + RS -1 + 1 - epsilon ⁢ FC -1 FC0 -1 + FC -1$

### Component: v16

$v16 = k16 ⁢ AC$$k16 = Vmax ⁢ epsilon ⁢ RS -1 RS0 -1 + RS -1 + 1 - epsilon ⁢ FC -1 FC0 -1 + FC -1$

### Component: v17

$v17 = k17 ⁢ ATP$$k17 = Vmax$

### Component: GL

$dd time GL = F ⁢ aGL - sigmaGL ⁢ GL - v1$

### Component: FA

$dd time FA = 3 ⁢ v8 + F ⁢ aFA - sigmaFA ⁢ FA - v3 + v4$

### Component: GP

$dd time GP = v1 + v7 - v5 + v6$

### Component: GY

$dd time GY = v6 - v7$

### Component: TG

$dd time TG = 1 3 ⁢ v3 - v8$

### Component: PY

$dd time PY = 2 ⁢ v5 + v11 - v9 + v10$

### Component: LA

$dd time LA = v9 + F ⁢ aLA - sigmaLA ⁢ LA - v11$

### Component: AC

$dd time AC = v10 + v4 - v12 + v16$

### Component: FC

$dd time FC = v12 + v15 + v16 - v10 + v4$

### Component: CoA_pool

$dd time CoA_pool = v16 - v15$

### Component: O2

$dd time O2 = F ⁢ aO2 - sigmaO2 ⁢ O2 - v2$

### Component: CO2

$dd time CO2 = v10 + 2 ⁢ v12 + F ⁢ aCO2 - sigmaCO2 ⁢ CO2$

### Component: NAD

$dd time NAD = v9 + 2 ⁢ v2 - 2 ⁢ v5 + v10 + v11 + 11 3 ⁢ v12 + 35 3 ⁢ v4$

### Component: ADP

$dd time ADP = v1 + v6 + 2 ⁢ v4 + 2 ⁢ v3 + v13 + v17 - 3 ⁢ v5 + v12 + 6 ⁢ v2 + v14$

### Component: PC

$dd time PC = v13 - v14$

### Component: CR

$dd time CR = v14 - v13$

### Component: CS

$CS = CR PC$

### Component: RS

$RS = NADH NAD$

### Component: PS

$PS = ADP ATP$

### Component: AF

$AF = AC FC$

### Component: model_parameters

$F = 1.0 if time > 0.0 ∧ time < 5.0 0.4 otherwise$
Source
Derived from workspace Salem, Saidel, Stanley, Cabrera, 2002 at changeset e0281b3b5e99.
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This work is licensed under a Creative Commons Attribution 3.0 Unported License.