Table 1.
Notation used in this study
Variable/parameterUnitsDefinition/meaning
Cacyto2+ µM Calcium in the cytoplasm 
CaER2+ µM Calcium in the ER (SpApp) 
µm2s Diffusion rate 
Bm µM Mobile buffers 
Bf Mol/(µm2 s) Fixed buffers 
PDE  Partial differential equation 
ODE  Ordinary differential equation 
Jx Mol/(µm2 s) Boundary flux due to x 
CBP µM Calcium-binding proteins (calcium buffers) 
Vcyto µm3 Volume of the cytoplasm excluding the SpApp volume 
PM  Plasma membrane 
SpApp  Spine apparatus 
ECS  Extracellular space 
µm Scale factor to convert between volume reactions to boundary flux 
nPM µm Volume-to-surface area ratio of the cytoplasm to the PM 
nSpApp µm Volume-to-surface area ratio of the SpApp volume to the SpApp surface area 
AUC Ions/s Area under the curve 
EPSP mV Excitatory postsynaptic potential 
BPAP mV Back-propagating action potential 
NMDAR  N-methyl-D-aspartate receptor 
VSCC  Voltage-sensitive calcium channel 
PMCA  Plasma membrane calcium ATPase 
NCX  Sodium–calcium exchanger 
Variable/parameterUnitsDefinition/meaning
Cacyto2+ µM Calcium in the cytoplasm 
CaER2+ µM Calcium in the ER (SpApp) 
µm2s Diffusion rate 
Bm µM Mobile buffers 
Bf Mol/(µm2 s) Fixed buffers 
PDE  Partial differential equation 
ODE  Ordinary differential equation 
Jx Mol/(µm2 s) Boundary flux due to x 
CBP µM Calcium-binding proteins (calcium buffers) 
Vcyto µm3 Volume of the cytoplasm excluding the SpApp volume 
PM  Plasma membrane 
SpApp  Spine apparatus 
ECS  Extracellular space 
µm Scale factor to convert between volume reactions to boundary flux 
nPM µm Volume-to-surface area ratio of the cytoplasm to the PM 
nSpApp µm Volume-to-surface area ratio of the SpApp volume to the SpApp surface area 
AUC Ions/s Area under the curve 
EPSP mV Excitatory postsynaptic potential 
BPAP mV Back-propagating action potential 
NMDAR  N-methyl-D-aspartate receptor 
VSCC  Voltage-sensitive calcium channel 
PMCA  Plasma membrane calcium ATPase 
NCX  Sodium–calcium exchanger 

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