Influence of network topology on nonlinear dynamics in populations of mapped clock oscillators representing hippocampal neurons.
Published: 2004
Language: eng
Number of pages: 99
Description: The Mapped Clock Oscillator (MCO) is a model of biological oscillators, such as the electrical transmembrane oscillations in pyramidal neurons of the CA3 hippocampal region. Populations of these oscillators were investigated, with emphasis on the relationship between network topology and the nonlinear dynamics of the system, in particular the appearance and extent, in topological response maps, of regions showing high-complexity, possibly chaotic (HPC) dynamics. Topology was investigated using the properties of binary relations, hence giving it a mathematical basis. It was found that the topological properties were related to the state transitions of the system, and in particular that symmetry in multi-dimensional networks increased the incidents of HPC dynamical modes of network behaviour.
Notes: Adviser: Berj L. Bardakjian.

Thesis (M.A.Sc.)--University of Toronto, 2004.

Electronic version licensed for access by U. of T. users.

Source: Masters Abstracts International, Volume: 42-06, page: 2263.

MICR copy on microfiche (2 microfiches).