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- W2093157051 abstract "Mean-field models of the mammalian cortex treat this part of the brain as a two-dimensional excitable medium. The electrical potentials, generated by the excitatory and inhibitory neuron populations, are described by nonlinear, coupled, partial differential equations, that are known to generate complicated spatio-temporal behaviour. We focus on the model by Liley {sl et al.} (Network: Comput. Neural Syst. (2002) 13, 67-113). Several reductions of this model have been studied in detail, but a direct analysis of its spatio-temporal dynamics has, to the best of our knowledge, never been attempted before. Here, we describe the implementation of implicit time-stepping of the model and the tangent linear model, and solving for equilibria and time-periodic solutions, using the open-source library PETSc. By using domain decomposition for parallelization, and iterative solving of linear problems, the code is capable of parsing some dynamics of a macroscopic slice of cortical tissue with a sub-millimetre resolution." @default.
- W2093157051 created "2016-06-24" @default.
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- W2093157051 date "2014-05-01" @default.
- W2093157051 modified "2023-09-24" @default.
- W2093157051 title "Open-source tools for dynamical analysis of Liley's mean-field cortex model" @default.
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- W2093157051 doi "https://doi.org/10.1016/j.jocs.2013.06.001" @default.
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