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Model Mathematics

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Component: environment

Component: ATP

Component: T

Component: TCa

\frac{\partial}{\partial time} (TCa) = kon (1.0 + S_A_M + {lamda}^{TCa_lamda}) Cai T - (koff TCa)

Component: TMoff

Component: TMon

\frac{\partial}{\partial time} (TMon) = kmon TCa {(1.0 + (TMoncoop + lamda) TMon)}^{TMonpow} TMoff - (kmoff TMon)

Component: M_ATP

\frac{\partial}{\partial time} (M_ATP) = t2 + t14 - t3

Component: M_ADP_Pi

\frac{\partial}{\partial time} (M_ADP_Pi) = t3 + t13 - t4

Component: A_M__ADP_Pi

\frac{\partial}{\partial time} (A_M__ADP_Pi) = t4 - t5

Component: A_M_ADP_Pi

\frac{\partial}{\partial time} (A_M_ADP_Pi) = t5 - (t6 + t13)

Component: A_M__ADP

\frac{\partial}{\partial time} (A_M__ADP) = t6 - (t7 + t11)

Component: A_M_ADP

\frac{\partial}{\partial time} (A_M_ADP) = t7 - (t8 + t10)

Component: A_M

\frac{\partial}{\partial time} (A_M) = t8 - (t9 + t1)

Component: A__M_ATP

\frac{\partial}{\partial time} (A__M_ATP) = t1 - t2

Component: M

\frac{\partial}{\partial time} (M) = t9 + t12 - t14

Component: M_ADP

\frac{\partial}{\partial time} (M_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 \frac{(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 = \frac{v^{Nv}}{v^{Nv} + {v50}^{Nv}}

Component: F

T_AM = A_M + A_M_ADP + A_M__ADP F = \frac{alpha T_AM}{Fmax}

Component: parameters

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

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Modeling of Protein Interactions Involved in Cardiac Tension Development