## A model of pulse propagation and interaction within FitzHugh-Nagumo nerve axon bundles |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Problem Statement | 12 |

Matrix Analysis PreRequisites | 17 |

Solution of the Dirichlet Problem | 24 |

Copyright | |

1 other sections not shown

### Common terms and phrases

9ftn action potential adjacent axon analysis assume AUXX Axon Bundles Banach space boundary conditions boundary data Bundles of Nerve CfcO chapter collective pulse continuous functions coupling matrix define demonstrated described diagonal matrix differential equations Dirichlet boundary conditions Dirichlet Problem dissipation equation eigenvalues eigenvectors electrical activity eliminate the recovery equations 2.1 example system 1.1 Exponential Decay express FH-N equations fibers FitzHugh-Nagumo equations hi(t identity matrix initial data Katz and Schmitt Koebbe Lemma linear combinations Markin McKean membrane potential membrane's Mnxn model of pulse Nagumo equations nerve axon behavior one-dimensional orthogonal matrix PAP1 phase plane polynomial proof Propagation and Interaction propagation speed Pulse Propagation Rank-One Matrix Rauch and Smoller recovery variable terms rotation Schonbek 39 Scott similar result small coupling parameter Smoller 34 synchronization system of coupled system of equations system of FitzHugh-Nagumo Theorem Threshold potential threshold value traveling coordinates traveling pulse solution un-coupled XI)v zero zero-order