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Table 12 List of model equations used in calculation of mitochondrial respiration equations (obtained from [11])

From: Composite mathematical modeling of calcium signaling behind neuronal cell death in Alzheimer’s disease

Equation Biological significance
A res =(1.35e18)NADHM0.5/(NAD)0.5 A res = affinity bracketed expression
\( V^{D}_{res} = exp\left (0.191 * PSI\right) \) Respiration potential generated
Proton pump equations
r1=7e−7 Variable r1
r2=(2.54e−3)A res Variable r2
\( r_{3} = 0.639 * V^{D}_{res} \) Variable r3
r4=7.58e13+(1.57e−4)A res Variable r4
\( r_{5} = \left (1.73 + A_{res} * 1.06e-17\right) * V^{D}_{res} \) Variable r5
\( J^{H}_{res} = 360 * \rho _{res} * \left (\left (r1 + r2 - r3\right)/\left (r4 + r5\right)\right)\) Rate of transport through proton pump during respiration
Oxygen consumption rate equations
o1=A res 2.55e−3 Variable o1
o2=A res 2.00e−5 Variable o2
\( o_{3} = 0.639*\left (V^{D}_{res}\right) \) Variable o3
\( o_{4} = \left (V^{D}_{res}\right) * A_{res} * 8.63e-18 \) Variable o4
o5=(1+A res 2.08e−18)7.54e13 Variable o5
\( o_{6} = \left (1.73 + 1.06e-17 * A_{res}\right) * V^{D}_{res} \) Variable o6
J o =30ρ res (o1+o2−o3+o4)/(o5+o6) Rate of oxygen consumption during respiration
\