Biomedical Engineering Reference
In-Depth Information
Chapter 1
ATheoreticalOverview
Henry C Tuckwell
1
, and Jianfeng Feng
2
1
Epidemiology and Information Science, Faculty of Medicine St Antoine, University
of Paris 6, 27 rue Chaligny, 75012 Paris, France,
2
Department of Informatics,
University of Sussex, Brighton BN1 9QH, U.K.
CONTENTS
1.1
Introduction
This chapter contains a mathematical foundation for the chapters follow. Compu-
tational neuroscience is a highly interdisciplinary subject and various mathematical
languages are used to deal with the problems which arise. We sketch a mathemat-
ical foundation and provide references which can be consulted for further details.
We also demonstrate how to mathematically and rigorously formulate certain neuro-
science problems. The basic topics we intend to cover are deterministic dynamical
