Table 17 List of model equations used in PTP Integration (modified from [21])
Equation | Biological significance |
|---|---|
τ y =1000∗((1000/cosh(CAM/0.1))+0.1) | Time constant for secondary slow process |
τ h =τ y /8 | Time constant for PTP high conductance state |
\( PTP_{h}^{\infty } = heav\left (y - y^{*}\right) \) | Heaviside step function for PTP max value |
y∞=heav(CAM−CAM∗) | Heaviside step function for y threshold value |
dy/dt=(y∞−y)/τ y | Secondary slow process involved in opening of PTP high conductance state |
\( dPTP_{h}/dt = \left (PTP_{h}^{\infty } - PTP_{h}\right)/\tau _{h} \) | PTP high conductance state dynamics |
\( J^{H}_{PTP} = perm_{l}^{H} * PTP_{l} * PSI * \left (H_{M} - 0.0000000398 * exp\left (-37.434 * PSI\right)/\left (1-exp\left (-37.434 * PSI\right)\right)\right) \) | Proton flux through PTP in high conductance state |
\( J^{Ca}_{PTP} = perm_{Ca} * PTP_{l} * J_{uni} * \left (1-postptp * PTP_{h}\right) \) | Rate of Ca2+ ion transport across PTP |
\( dH_{M}/dt = \left (f_{H_{M}}/\tau _{h}\right)*\left (J^{H}_{L} + J^{H}_{F1} - J^{H}_{res}+J^{H}_{PTP}\right) \) | Change in mitochondrial proton concentration |
τ l =p6+amp τ /cosh((H M −p3)/p4) | Time constant for PTP low conductance state |
\( PTP_{l}^{\infty } = 0.5 * \left (1 + tanh\left (\left (p1 - H_{M}\right)/p_{2}\right)\right)\) | Rate of change of polling function |
\( dPTP_{l}/dt = \left (PTP_{l}^{\infty } - PTP_{l}\right)/\tau _{l} \) | PTP low conductance state dynamics |