On the information transmission ability measurement of neurons via fuzzy method

Information processing is an important characteristic of biological neurons. Here, we proposed a method to measure the information transmission ability of neurons. Due to the nonlinear dynamics of neuron, which is experimentally verified, we have to solve the Hamilton-Jacobi inequalities (HJIs) to get the information transmission ability of neuron. Instead of directly solving HJIs, fuzzy interpolation method was employed to help us to systematically measure information transmission ability by solving a set of linear matrix inequalities (LMIs). The information transmission ability measurement method will provide an insight into the mechanism of information processing in neurons.