MATHEMATICAL-MODEL OF AN IDENTIFIED STOMATOGASTRIC GANGLION NEURON

1. The ionic currents in the lateral pyloric (LP) cell of the stomatogastric ganglion (STG) described in the preceding paper of the rock crab Cancer borealis were fit with a set of differential equations that describe their voltage, time, and Ca2+ dependence. The voltage-dependent currents modeled are a delayed rectifier-like current, i(d); a Ca2+-activated outward current, i(o)(Ca); a transient A-like current, i(A); a Ca2+ current, i(Ca); an inwardly rectifying current, i(h); and a fast tetrodotoxin (TTX)-sensitive Na+ current, i(Na). 2. A single-compartment, isopotential model of the LP cell was constructed from the six voltage-dependent currents, a voltage-independent leak current i(l), a Ca2+ buffering system, and the membrane capacitance. 3. The behavior of the model LP neuron was compared with that of the biological neuron by simulating physiological experiments carried out in both voltage-clamp and current-clamp modes. The model and biological neurons show similar action-potential shapes, durations, steady-state current-voltage (I-V) curves, and respond to injected current in a comparable way.