Modeling study on calcium-activated dynamics of neuronal dendrites

A mathematical model of active neuronal dendrites is constructed in the discrete form based on physiological information. The dynamics of this model are described by calcium-activated regenerative processes with threshold and a calcium accumulation system which changes the dynamical properties of the model. The model is capable of reproducing a stable oscillation in response to a maintained current simulation. The model can also reproduce a calcium-activated plateau potential based on a bifurcation mechanism parameterized by an intracellular calcium concentration. These dynamical properties coincide with that of an actual neuron. Simulations were performed related to an interaction among propagating excitatory potentials on a dendrite model where single compartments were longitudinally connected. Based on the simulation results, possible functions of the dynamical properties of the model are discussed