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

fYear

2009

fDate

13-17 July 2009

Firstpage

1

Lastpage

5

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/RIVF.2009.5174608

Filename

5174608