Team:Valencia UPV/prueba
From 2014.igem.org
Diffusion
The diffusion equation is a partial differential equation which describes density dynamics in a material undergoing diffusion. It is also used to describe processes exhibiting diffusive-like behavior, like in our case.
The equation is usually written as:
where ϕ(r, t) is the density of the diffusing material at location r and time t and D(ϕ, r) is the collective diffusion coefficient for density ϕ at location r; and ∇ represents the vector differential operator del.
If the diffusion coefficient does not depend on the density then the equation is linear and D is constant.
Thus, the equation reduces to the following linear differential equation: