Emmanuel Promayon

Home Page Research Internship/Stages Teaching Contact

Jump to : Download | Abstract | Keywords | Contact | BibTex reference | EndNote reference |


J. Demongeot, J. Gaudart, A. Lontos, J. Minsta, E. Promayon, M. Rachdi. Zero-diffusion domains in reaction-diffusion morphogenetic & epidemiologic processes. International Journal of Bifurcation and Chaos, 22(2), February 2012.


Download paper: Doi page (doi)

Download paper: Adobe portable document (pdf)

Copyright notice: Disclaimer: this material is presented to ensure timely dissemination of scholarly and technical work. Files of articles may be covered by copyright. You may browse the articles at your convenience in the same spirit as you may read a journal or conference proceedings in a public library. Retrieving, copying, distributing these files, entirely or in parts, may violate copyright protection laws. Copyright and all rights therein are retained by authors or by other copyright holders. All person copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.


Classical models of morphogenesis by Murray and Meinhardt and of epidemics by Ross and McKendrick can be revisited in order to consider the colocalizations favoring interaction between morphogens and cells or between pathogens and hosts. The classical epidemic models suppose for example that the populations in interaction have a constant size and are spatially fixed during the epidemic waves, but the presently observed pandemics show that the long duration of their spread during months or years imposes to take into account the pathogens, hosts and vectors migration in epidemics, as well as the morphogens and cells diffusion in morphogenesis. That leads naturally to study the occurrence of complex spatio-temporal behaviors in dynamics of population sizes and also to consider preferential zones of interaction, i.e., the zero-diffusion sets, for respectively building anatomic frontiers and confining contagion domains. Three examples of application will be presented, the first proposing a model of Black Death spread in Europe (1348-1350), and the last ones related to two morphogenetic processes, feather morphogenesis in chicken and gastrulation in Drosophila


[ Cell ] [ Softtissue ]


Emmanuel Promayon http://membres-timc.imag.fr/Emmanuel.Promayon

BibTex Reference

   Author = {Demongeot, J. and Gaudart, J. and Lontos, A. and Minsta, J. and Promayon, E. and Rachdi, M.},
   Title = {Zero-diffusion domains in reaction-diffusion morphogenetic & epidemiologic processes},
   Journal = {International Journal of Bifurcation and Chaos},
   Volume = {22},
   Number = {2},
   Publisher = {World Scientific},
   Month = {February},
   Year = {2012}

EndNote Reference [help]

Get EndNote Reference (.ref)

Home Page Research Internship/Stages Teaching Contact
This page was automatically generated thanks to JabRef and bib2html , 3 March 2022