You are here: Home / Exposures / Yamaguchi, Takaki, Matsubara, Yasuhara, Suga, 1996 / Constancy and variability of contractile efficiency as a function of calcium and cross-bridge kinetics: simulation

Model Mathematics

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Component: environment

Component: parameters

Component: Ca_t

Ca_t = \{\begin{matrix} \frac{Ca_max (1 + \sin (\frac{π (\frac{t}{D_Ca} - 0.15)}{0.3}))}{2} if t \geq 0 \land t < 0.3 D_Ca \\ \frac{Ca_max (1 - (\sin (\frac{π (\frac{t}{D_Ca} - 0.65)}{0.7})))}{2} if t \geq 0.3 D_Ca \land t < D_Ca \\ 0 otherwise \end{matrix}

Component: TnCa

\frac{d}{d t} (TnCa) = k_1 Ca_t (Total_Tn - TnCa) - (k_2 TnCa)

Component: CB_on

\frac{d}{d t} (CB_on) = f TnCa (Total_CB - CB_on) - (g CB_on)

Component: CumCB

\frac{d}{d t} (CumCB_on) = f TnCa (Total_CB - CB_on) \frac{d}{d t} (CumCB_off) = g CB_on

Component: force_development

F = CB_on phi \frac{d}{d t} (FTI) = F FLA = F_max s (L - L_0)

Component: ATP

ATP = CumCB_on_end ATP_energy = ATP epsilon

Component: equations_main

Efficiency = \frac{FLA}{ATP_energy} Economy = \frac{phi}{epsilon} \frac{1}{g}

Source: Derived from workspace Yamaguchi, Takaki, Matsubara, Yasuhara, Suga, 1996 at changeset c401290c8180.

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Constancy and variability of contractile efficiency as a function of calcium and cross-bridge kinetics: simulation