Neurons with radial basis like rate functions

Artificial neural networks constructed with “locally tuned processing units” and more generally referred to as “radial basis function networks” have been proposed by a number of workers. In this communication, I submit a conjecture, based on indirect experimental and direct computational evidence of the Hodgkin-Huxley model, that there may be biological neurons in nervous systems for which the rate function is locally tuned. If proved to be valid, this conjecture may simplify neurodynamic models of some functions of nervous systems.