Table 17.

List of model equations used in PTP Integration (modified from [21])

Equation	Biological significance
τy=1000∗((1000/cosh(CAM/0.1))+0.1)	Time constant for secondary slow process
τh=τy/8	Time constant for PTP high conductance state
$\mathit{\text{PT}}{P}_h^{\infty }=\mathit{\text{heav}}\left(y-y^{\ast }\right)$	Heaviside step function for PTP max value
y∞=heav(CAM−CAM∗)	Heaviside step function for y threshold value
dy/dt=(y∞−y)/τy	Secondary slow process involved in opening of PTP high conductance state
$\mathit{\text{dPT}}{P}_h/\mathit{\text{dt}}=\left(\mathit{\text{PT}}{P}_h^{\infty }-\mathit{\text{PT}}{P}_h\right)/{\tau }_h$	PTP high conductance state dynamics
$J_{\mathit{\text{PTP}}}^H=\mathit{\text{per}}{m}_l^H\ast \mathit{\text{PT}}{P}_l\ast \mathit{\text{PSI}}\ast \left(H_M-0.0000000398\ast \mathit{\text{exp}}\left(-37.434\ast \mathit{\text{PSI}}\right)/\left(1-\mathit{\text{exp}}\left(-37.434\ast \mathit{\text{PSI}}\right)\right)\right)$	Proton flux through PTP in high conductance state
$J_{\mathit{\text{PTP}}}^{\mathit{\text{Ca}}}=\mathit{\text{per}}{m}_{\mathit{\text{Ca}}}\ast \mathit{\text{PT}}{P}_l\ast J_{\mathit{\text{uni}}}\ast \left(1-\mathit{\text{postptp}}\ast \mathit{\text{PT}}{P}_h\right)$	Rate of Ca2+ ion transport across PTP
$d{H}_M/\mathit{\text{dt}}=\left(f_{H_M}/{\tau }_h\right)\ast \left(J_L^H+J_{F1}^H-J_{\mathit{\text{res}}}^H+J_{\mathit{\text{PTP}}}^H\right)$	Change in mitochondrial proton concentration
τl=p6+ampτ/cosh((HM−p3)/p4)	Time constant for PTP low conductance state
$\mathit{\text{PT}}{P}_l^{\infty }=0.5\ast \left(1+\mathit{\text{tanh}}\left(\left(p1-H_M\right)/p_2\right)\right)$	Rate of change of polling function
$\mathit{\text{dPT}}{P}_l/\mathit{\text{dt}}=\left(\mathit{\text{PT}}{P}_l^{\infty }-\mathit{\text{PT}}{P}_l\right)/{\tau }_l$	PTP low conductance state dynamics