The Mathematical Institute, University of Oxford, Eprints Archive

A new neurosurgical tool incorporating differential geometry and cellular automata techniques

Oshmyansky, A. R. and Maini, P. K. (2008) A new neurosurgical tool incorporating differential geometry and cellular automata techniques. In: Proceedings of the International Symposium on Mathematical and Computational Biology. BIOMAT, 3 (1/2). World Scientific, London, pp. 119-127.

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Abstract

Using optical coherence imaging, it is possible to visualize seizure progression intraoperatively. However, it is difficult to pinpoint an exact epileptic focus. This is crucial in attempts to minimize the amount of resection necessary during surgical therapeutic interventions for epilepsy and is typically done approximately from visual inspection of optical coherence imaging stills. In this paper, we create an algorithm with the potential to pinpoint the source of a seizure from an optical coherence imaging still. To accomplish this, a grid is overlaid on optical coherence imaging stills. This then serves as a grid for a two-dimensional cellular automation. Each cell is associated with a Riemannian curvature tensor representing the curvature of the brain's surface in all directions for a cell. Cells which overlay portions of the image which show neurons that are firing are considered "depolarized".

Item Type:Book Section
Uncontrolled Keywords:Cellular automata, neuronal dynamics, curved "cellular manifold"
Subjects:A - C > Biology and other natural sciences
Research Groups:Centre for Mathematical Biology
ID Code:729
Deposited By:Philip Maini
Deposited On:03 Sep 2008
Last Modified:20 Jul 2009 14:23

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