Title :
A Mathematical Formalism of Hierarchical Systems for a Distributed Simulation: Case of the Nervous System
Author :
Bennani, Omar ; Ben Amor, Soufian
Author_Institution :
Lab. de Cognition Humaine et ARTificielle, Ecole Pratique des Hautes Etudes, Paris, France
Abstract :
In this paper we present a mathematical formulation of hierarchical systems based on graphs. In particular we are interested in the mathematical theory of integrative physiology (MTIP) developed by Gilbert Chauvet, which describes biological structures and their functioning as a combination of hierarchical structures (synapses, neurones, neural network) and of functional interactions between these structures. In this work our aim is to provide a mathematical modeling of the nervous system as a hierarchical network using pretopology theory in the framework of the MTIP.
Keywords :
graphs; hierarchical systems; mathematical analysis; neural nets; neurophysiology; MTIP framework; graph-based mathematical formalism; hierarchical system; mathematical theory-of-integrative physiology; nervous system; neural network; neuron synapses; pretopology theory; Anatomy; Biological neural networks; Biological system modeling; Biological systems; Hierarchical systems; Mathematical model; Mechanical factors; Nervous system; Neurons; Physiology;
Conference_Titel :
Computing and Communication Technologies, 2009. RIVF '09. International Conference on
Conference_Location :
Da Nang
Print_ISBN :
978-1-4244-4566-0
Electronic_ISBN :
978-1-4244-4568-4
DOI :
10.1109/RIVF.2009.5174608
