Thanks for your reply.
Sure. is a variable which denotes the fluctuation along the length of an animal cell, where is the distance along it. The variable 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 on animal tissue.
But how I extend a 1D PDE to 2D, I'm not sure.