Neuronal Network Models of Phase Separation Between Limb CPGs of Digging Sand Crabs

摘要: Ordinary differential equations are used to model a peculiar motor behaviour in the anomuran decapod crustacean Emerita analoga. Little is known about neural circuitry that permits E. analoga control phase relationships between movements of fourth legs and pair uropods as it digs into sand, so mathematical models might aid identifying features structures involved. The geometric arrangement segmental ganglia controlling each limb provides an intuitive framework for modelling. Specifically, due rhythmic nature movement, network viewed three coupled identical oscillators, one dedicated leg uropods, which always move bilateral synchrony. Systems Morris–Lecar describe voltage ion channel dynamics neurons. Each central pattern generator first modelled single neuron then, more realistically multi-neuron oscillator. This process results high-dimensional systems difficult analyse. In either case, reduction by averaging yields two-dimensional system where variables only oscillator’s along its limit cycle. observed reduced approximates original system. Results suggest response function two dimensional system, together with minimal input from asymmetric coupling parameters, sufficient account behaviour.