Hi,
Thanks for your reply.
Sure. $\displaystyle V$ is a variable which denotes the fluctuation along the length of an animal cell, where $\displaystyle x$ is the distance along it. The variable $\displaystyle v$ gives similar information along the length.I'm not sure what you are getting at: what was the key concept either mathematically, physically, or otherwise that you wished to extend?
What I would like to do is build up a 2D array of cells - i.e. I want to model $\displaystyle V$ on animal tissue.
But how I extend a 1D PDE to 2D, I'm not sure.