Download Crossing in Complexity: Interdisciplinary Application of by Ignazio Licata, Ammar Sakaji PDF

By Ignazio Licata, Ammar Sakaji

The advancements of theoretical physics within the box of advanced platforms and emergence has evidenced that many mathematical equipment and conventional methods can migrate in the direction of organic and social structures. The deep actual rationalization of such new power is easy in its essence and should be searched within the universality of the emergence tactics normal of the center manner recommended via the prophetic works of Anderson, Pines and Laughlin. specifically, the platforms according to festival and co-operation and their sustainable dependence at the surroundings - famous to the physicists because the Ising classical version - have supplied loads of conceptual feedback for the examine of organic and social fiscal procedures.

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Extra info for Crossing in Complexity: Interdisciplinary Application of Physics in Biological and Social Systems

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One such example was to think of the geometry of a creature whose only activity was to move up and down a keyboard and whose only sensations were of the sounds thus produced. From a different, point of view Von Uexkull imagined the life space of different creatures differing depending upon the different behaviors and perceptual systems at their disposal. Here I want to talk a little bit more about how space is represented in the brain. People often use the terms “frame of reference” or “coordinate systems” to talk of neural codes, but I think this is misleading.

In: Crossing in Complexity Editors: I. Licata and A. Sakaji, pp. 21-55 ISBN: 978-1-61668-037-4 © 2010 Nova Science Publishers, Inc. Chapter 3 DOING MATHEMATICS * ABOUT AND WITH THE BRAIN Michael A. Arbib** Computer Science Department and USC Brain Project University of Southern California, Los Angeles, CA, USA Introduction I was trained as a mathematician but from an early stage my interest was attracted by the broader theme of “brains, machines, & mathematics” (Arbib, 1964, 1987), of trying to understand the similarities and differences between computing machines and the brain as seen from a mathematical perspective.

But what has been exciting about the Hodgkin-Huxley equations is their richness both in stimulating the discovery of ever more detailed structure of the neuron, and also in stimulating mathematicians to develop the tools of qualitative description of nonlinear differential equations to understand the immense richness of dynamics that the axons and cell membranes of neurons can support. ) Warren McCulloch Warren McCulloch represents both the search for discrete rather than continuous representations of the brain, and also a romantic quest driven more by a theoretical perspective than by a specific set of data (Arbib, 2000).

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