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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