PWL function-based model of a beta cell

In this paper, a new model based on piecewise linear (PWL) functions is proposed and analyzed by considering the well known Pernarowski's mathematical model for an isolated beta cell. Contrary to Pernarowski's model, we replace the original cubic functions with PWL functions with multi-segments in order to obtain bursting electrical activity (BEA) of beta cell. The number of segments depends on the required accuracy to generate bursting. Additionally, an electronic design of the proposed model using voltage operational amplifiers is realized. Several SPICE circuit simulations are carried out to validate the PWL function-based model.