Mathematical Sciences Research Centre Seminar Series

Collocation methods for solving neural field models on complex triangulated domains

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As part of the School of Science and Technology Mathematical Sciences Research Centre Seminar Series, Rebecca Martin, NTU presents: Collocation methods for solving neural field models on complex triangulated domains.

  • From: Wednesday 15 November 2017, 1 pm
  • To: Wednesday 15 November 2017, 2 pm
  • Location: 169, Nottingham Trent University, Clifton Campus, Clifton Lane, Nottingham, NG11 8NS

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Event details

As part of the School of Science and Technology Mathematical Sciences Research Centre Seminar Series, Rebecca Martin, NTU presents: Collocation methods for solving neural field models on complex triangulated domains.

Abstract:

Neural field models typically take the form of non-linear integro-differential equations and are commonly used to describe the average activity of large populations of cortical neurons, treating the spatial domain as continuous. We present an approach for solving neural field equations that enables us to consider physiologically realistic scenarios, including complicated domains obtained from MRI data, and more general connectivity functions that incorporate, for example, cortical geometry. Our approach involves solving the integral form of the equation directly using collocation techniques alongside efficient numerical procedures for determining geodesic distances between neural units. To illustrate our methods we study 2D neural field models on both a periodic square domain and the curved 2D surface of a torus.

This seminar is hosted by Dr David Chappell.

All welcome.

Location details

Address:

Nottingham Trent University
Clifton Campus
Clifton Lane
Nottingham
NG11 8NS

Past event

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