Table 2. Reaction-diffusion equations.

	Equation
Membrane diffusion and cell boundary conditions	$D_d\frac{\partial \left[c\right]}{\partial x}=D_m\left({\left[c\right]}_{out}-{\left[c\right]}_{in}\right),\tilde{D}\frac{\partial \left[\tilde{u}\right]}{\partial x}=0$,
Reaction kinetics	$\frac{\partial \left[\tilde{u}\right]}{\partial t}=\tilde{D}{\nabla }^2\left[\tilde{u}\right]+S\left(\left[\tilde{u}\right]\right)$

Description: [c]_in: compound concentration inside the cell, [c]_out: compound concentration outside the cell, D _d: diffusion constant of the compound, D _m: permeability of the membrane to compound, $\tilde{D}$: is the vector of diffusion constants.