Table 1:

Parameters of electrodiffusion model

Variable	Name	Value	Reference
e	Elementary charge	$\approx {1.610}^{-19}\text{C}$
∈0	Vacuum permittivity	$\approx {8.8510}^{-12}{\text{Fm}}^{-1}$
∈c	Cytoplasmic permittivity	60	[51]
∈m	Membrane permittivity	2 (= phospholipid bilayer)
$\gamma =\frac{e}{k_{B}T}$	NP constant	$\approx 37{\text{V}}^{-1}$
R	Radius of the spine head	50 − 500 nm	[18]
L	Length of the spine neck	0.1 − 2 μm	[18]
a	Neck radius	30 − 100 nm	[18]
$S=\pi a^2$	Cross section of the spine neck	0.28 − 3.110−2μm2
D	Diffusion constant of ions	0.5 10−9m2s−1	[27]
g0	Maximum synaptic conductance	1 − 16 nS	Fitted to data
Cm	Membrane capacitance per unit of surface	0.01 Fm−2	[20]
C0	Bulk ion concentration	150 mM	[20]
${\Phi }_0$	Resting membrane potential	−60 mV	Fitted to data
μ	Kinetics parameter (1) of ion channel opening (sigmoidal function)	0.27 − 0.71 ms	Fitted to data
${\tau }_1$	Kinetics parameter (2) of ion channel opening (sigmoidal function)	0.075 − 0.202 ms	Fitted to data
${\tau }_2$	Kinetics parameter of ion channel closure (mono-exponential)	3.76 − 4.54 ms	Fitted to data
$\begin{array}{l}{\lambda }_D\\ =\sqrt{\frac{{ϵ}_0{ϵ}_c}{2e\gamma c_0}}\end{array}$	Debye length	≈ 1 nm
${\delta }_1={\left(\frac{{\lambda }_D}{R}\right)}^2$	Singular perturbation parameter in the spine head	= 0.02 − 0.002
${\delta }_2={\left(\frac{{\lambda }_D}{L}\right)}^2$	Singular perturbation parameter in the spine neck	= 0.01 − 0.001