Titlebook: BioInformation Processing; A Primer on Computat James K. Peterson Book 2016 The Editor(s) (if applicable) and The Author(s), under exclusiv

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https://doi.org/10.1007/978-1-349-12561-6In this chapter, the random walk model of a particle is used to drive a better understanding of what diffusion is. The probability density function for the limiting form of the probability distribution of the random walk is shown to be a solution to a diffusion model.

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Integral TransformsIn this chapter, the Laplace transform in time and the Fourier transform in space are discussed along with their inverses.

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Regional Structure of the Information Flowuseful ways of regulating many biological processes. A careful discussion of a mathematical model of this type of event in terms of diffusion is provided culminating in ideas on how to approximate the effects of the calcium current input pulse.

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Zoos in Central Japan and World War II, and a Laplacian. Information flow through the graph is assumed to follow a cable like equation using the graph version of the Laplacian. This cable like equation can then be used to map inputs to output in a chain model. Finally, some comments are made about the estimated sizes of interesting cortical models that could be used in simulations.