Can I solve a partial differential equation with "Moving boundary condition" by using pdepe?

Dear all,

I need your help on solving a PDE by using pdepe..

The PDE is ∂u/∂t=∂^2u/∂x^2. and bc : ∂u/∂x=0 (x=0), ∂u/∂x=Const*u*(1-u) (x=b) here, dx/dt=-const*(1-u) (x=b, moving boundary) and ic: u(x,0)=u0.

I tried to solve them by using pdepe but not sure it is correct. Does pdepe support to solve PDE with "moving boundary condition"? If not, how can I solve it?

Thank you in advance.

MK