| Popis: |
A particularly useful and instructive model for the study of nerve pulse propagation is described by the well—known FitzHugh Nagumo (FHN) partial differential equations. In the absence of diffusion, the FHN system represents a single point—like neuron and is expressed in terms of two Ordinary Differential Equations (ODEs) for the membrane electric potential and the recovery (ion) current. In this work, we connect N such FHN oscillators in a unidirectional way, using the same coupling constant K. We then apply to the first ODE a periodic square wave of period T, amplitude h and duration ΔT, sufficient to excite the first neuronal oscillator. First, we investigate ranges of parameter values for which the excited action potential wave train is transmitted successfully to the subsequent FHN oscillators of the chain with the same period T. We also discover conditions on the coupling constant K and/or the amplitude of the applied periodic wave h under which the transmitted pulses have a period approximately equ... |
