Table 1 List of parameters used in our model with their values and biological significance [7–9]

V

1 ml

Total volume

uMmM

1000

Converts μM to mM

τ _min

60

Converts minutes to seconds

p _cytosol

0.5

Proportion of volume occupied my cytosol

d _cytosol

75 mg/ml

Density of cytosolic protein mg/ml

p _mito

0.05

Proportion of volume occupied my mitochondria

d _mito

1000 mg/ml

Density of mitochondrial protein mg/ml

p _er

0.1

Proportion of volume occupied my ER

d _er

1000 mg/ml

Density of ER protein mg/ml

c _mito

0.0725 \(\frac {nmol}{mV*mg}\)

Mitochondrial calcium concentration

ρ _uni

300 \(\frac {nmol}{mg*min}\)

Maximum rate of transport through mitochondrial uniporter

\(\rho _{Na}^{Ca} \)

3 \(\frac {nmol}{mg*min}\)

Maximum rate of transport through Na⁺/Ca²⁺ exchanger

ρ _res

0.4

Mitochondrial respiration co-efficient

ρ _F 1

0.7 \(\frac {nmol}{mg*min} \)

Mitochondria - Fo/F1 ATPase

[P _i ] _m

20 mM

Concentration of free phosphates

ρ _leak

0.2 \(\frac {nmol}{mg*min} \)

Mitochondrial membrane proton leak

J _red,basal

20 \(\frac {nmol}{mg*min}\)

NADH reduction rate

J _max,ANT

900 \(\frac {nmol}{mg*min}\)

ATP/ADP antiport flux

glc

1 mM

Glucose concentration in cytosol

J _hyd,max

30.1 mM

Cytosol hydrolysis of ATP

V _IP3

3000 μM

IP₃ receptor volume

V _leak

0.1

proportion of leakage from IP₃ receptor

J _leak

0.1

ER leak

d _IP3

0.25 μM

IP₃ receptor sensitivity

d _ACT

1 μM

IP₃ receptor Ca²⁺ activation constant

d _INH

1.4 μM

IP₃ receptor Ca²⁺ inhibition constant

τ

4 s

IP₃ receptor inhibitory time constant

V _serca

110 \(\frac {nmol}{mg*min}\)

SERCA pump flux

k _serca

0.4 μM

SERCA pump Ca²⁺ sensitivity

V ₁

0.0065 nM/s

Constant rate of β-amyloid synthesis

V _α

0.05 nM/s

Maximal rate of β-amyloid synthesis

K _α

120 nM

Half-saturation constant

k _β

0.2 nM³/s

Rate constant of increased Ca²⁺ entry

K ₁

0.01 s⁻¹

Rate constant of β-amyloid elimination

n

2

Hill coefficient for activation of β-amyloid synthesis

m

4

Cooperativity coefficient

f _m

0.0003

Mitochondrial Ca²⁺ buffering coefficient

f _i

0.01

Cytosolic Ca²⁺ buffering coefficient