[Neuroscience] Re: Equation that explains the behaviour of a circuit in voltage clamp

[Bill.Connelly]

I appriciate the technical limitations of ACTUALLY performing voltage
clamp, it's just I was hoping to get an equation that relates dVcmd/dt
to Itotal, on the basis of Rm, Rs and Cm. I'm starting to assume such
an equation doesn't exist. If you think it does, I would deeply
appriciate if you could give it to me. But some people think you can't
analytically explain I for any arbitraty Vcmd.
http://www.physicsforums.com/showthread.php?p=2144713#post2144713
http://www.physicsforums.com/attachment.php?attachmentid=18292&d=1238839219

But I completely agree
I=Vm/Rm + C dVm/dt.
the voltage across the entire thing is (Vcmd).... Vcmd = IRs + Vm.
But what explains Vm?
Ohh... so
So its Vm=Vcmd - Rs * Vm/Rm+C dVm/dt

Is that right? And is that even solveable?