Numerical Analysis Seminars: Computing connections : a Neural System
16 February 2001 14:00 in CM105
"We discuss the computation and numerical continuation of connections to periodic orbits, implementing in Auto97 (Doedel et al) projection boundary conditions proposed by Beyn 1993. As an illustrative example we consider the Baer--Rinzel model of a single neuron which models active spines (with Hodgkin--Huxley dynamics) linked by a diffusive cable. The model is known to support various travelling waves: solitary waves, periodic waves, multi-bump waves. Physically, heteroclinic connections between periodic solutions correspond to waves connecting periodic spike trains. We examine propagation failure as parameters such as resistance and spine density vary."
Contact David.Bourne@durham.ac.uk for more information