# Model Mathematics

### Component: TCa

$∂∂timeTCa= kon ⁢ 1.0 + S_A_M + lamda TCa_lamda ⁢ Cai ⁢ T - koff ⁢ TCa$

### Component: TMon

$∂∂timeTMon= kmon ⁢ TCa ⁢ 1.0 + TMoncoop + lamda ⁢ TMon TMonpow ⁢ TMoff - kmoff ⁢ TMon$

### Component: M_ATP

$∂∂timeM_ATP= t2 + t14 - t3$

$∂∂timeM_ADP_Pi= t3 + t13 - t4$

$∂∂timeA_M__ADP_Pi= t4 - t5$

$∂∂timeA_M_ADP_Pi= t5 - t6 + t13$

$∂∂timeA_M__ADP= t6 - t7 + t11$

$∂∂timeA_M_ADP= t7 - t8 + t10$

### Component: A_M

$∂∂timeA_M= t8 - t9 + t1$

### Component: A__M_ATP

$∂∂timeA__M_ATP= t1 - t2$

### Component: M

$∂∂timeM= t9 + t12 - t14$

$∂∂timeM_ADP= t10 + t11 - t12$

### Component: S_A_M

$S_A_M= A_M_ADP_Pi + A_M__ADP + A_M_ADP + A_M$

### Component: t1

$t1= k1 ⁢ ATP ⁢ A_M - k_1 ⁢ A__M_ATP$

### Component: t2

$t2= k2 ⁢ 1.0 + v_factor ⁢ v_detach ⁢ A__M_ATP$

### Component: t3

$t3= k3 ⁢ M_ATP - k_3 ⁢ M_ADP_Pi$

### Component: t4

$t4= k4 ⁢ M_ADP_Pi - k_4 ⁢ 1.0 + v_factor ⁢ v_detach ⁢ A_M__ADP_Pi$

### Component: t5

$t5= k5 ⁢ TMon ⁢ k5_lamda ⁢ lamda + 0.4 ⁢ 1.0 + k5_xb ⁢ S_A_M 2.0 ⁢ A_M__ADP_Pi - k_5 ⁢ A_M_ADP_Pi$

### Component: t6

$t6= k6 ⁢ A_M_ADP_Pi - k_6 ⁢ A_M__ADP$

### Component: t7

$t7= k7 ⁢ A_M__ADP ⁢ k7_base - k7_lamda ⁢ lamda + v 1.0 + k7_force ⁢ F$

### Component: t8

$t8= k8 ⁢ A_M_ADP - k_8 ⁢ A_M$

### Component: t9

$t9= k9 ⁢ v_factor ⁢ A_M$

### Component: t10

$t10= k10 ⁢ v_factor ⁢ A_M_ADP$

### Component: t11

$t11= k11 ⁢ v_factor ⁢ A_M__ADP$

### Component: t12

$t12= k12 ⁢ M_ADP$

### Component: t13

$t13= k13 ⁢ v_factor ⁢ A_M_ADP_Pi$

### Component: t14

$t14= k14 ⁢ ATP ⁢ M$

### Component: v_factor

$v_factor= v Nv v Nv + v50 Nv$

### Component: F

$T_AM= A_M + A_M_ADP + A_M__ADP F= alpha ⁢ T_AM Fmax$

### Component: parameters

Source
Derived from workspace Sachse, Glanzel, Seemann, 2003 at changeset 7215b81f47b9.
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