Calcium dependent potassium

Since this is responsible for adaptation and for many types of bursting dynamics, I want to describe the calcium dependent potassium. There are a number of models for this. The simplest are of the form:

$$I_{K(Ca)} = \bar{g} m^p (V-E_K)$$

where

$$\frac{dm}{dt}=\alpha_m([Ca])(1-m)-\beta m$$

and

$$\alpha_m([Ca]) = \alpha [Ca]^n_{in}.$$

McCormick et al use n=2 and $\alpha=48 ms^{-1}/mM^2$ and $\beta=0.03 ms^{-1}.$

I will make a very general model which incorporates most of the currents that are of interest.