Document Detail


Ant foraging and geodesic paths in labyrinths: Analytical and computational results.
MedLine Citation:
PMID:  23261398     Owner:  NLM     Status:  Publisher    
Abstract/OtherAbstract:
In this article we propose a mechanism for the formation of paths of minimal length between two points (trails) by a collection of individuals undergoing reinforced random walks. This is the case, for instance, of ant colonies in search for food and the development of ant trails connecting nest and food source. Our mechanism involves two main ingredients: (1) the reinforcement due to the gradients in the concentration of some substance (pheromones in the case of ants) and (2) the persistence understood as the tendency to preferably follow straight directions in absence of any external effect. Our study involves the formulation and analysis of suitable Markov chains for the motion in simple labyrinths, that will be understood as graphs, and numerical computations in more complex graphs reproducing experiments performed in the past with ants.
Authors:
M Vela-Pérez; M A Fontelos; J J L Velázquez
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Publication Detail:
Type:  JOURNAL ARTICLE     Date:  2012-12-19
Journal Detail:
Title:  Journal of theoretical biology     Volume:  -     ISSN:  1095-8541     ISO Abbreviation:  J. Theor. Biol.     Publication Date:  2012 Dec 
Date Detail:
Created Date:  2012-12-24     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  0376342     Medline TA:  J Theor Biol     Country:  -    
Other Details:
Languages:  ENG     Pagination:  -     Citation Subset:  -    
Copyright Information:
Copyright © 2012 Elsevier Ltd. All rights reserved.
Affiliation:
Universidad Europea de Madrid, C/ Tajo, Villaviciosa de Odón, Madrid 28670, Spain. Electronic address: maria.vela@uem.es.
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