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Modeling biological gradient formation: combining partial differential equations and Petri nets
Both Petri nets and differential equations are important modeling tools for biological processes. In this paper we demonstrate how these two modeling techniques can be combined to describe biological gradient formation. Parameters derived from partial differential equation describing the process of...
Autores principales: | , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer Netherlands
2015
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5101295/ https://www.ncbi.nlm.nih.gov/pubmed/27881934 http://dx.doi.org/10.1007/s11047-015-9531-4 |
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author | Bertens, Laura M. F. Kleijn, Jetty Hille, Sander C. Heiner, Monika Koutny, Maciej Verbeek, Fons J. |
author_facet | Bertens, Laura M. F. Kleijn, Jetty Hille, Sander C. Heiner, Monika Koutny, Maciej Verbeek, Fons J. |
author_sort | Bertens, Laura M. F. |
collection | PubMed |
description | Both Petri nets and differential equations are important modeling tools for biological processes. In this paper we demonstrate how these two modeling techniques can be combined to describe biological gradient formation. Parameters derived from partial differential equation describing the process of gradient formation are incorporated in an abstract Petri net model. The quantitative aspects of the resulting model are validated through a case study of gradient formation in the fruit fly. |
format | Online Article Text |
id | pubmed-5101295 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2015 |
publisher | Springer Netherlands |
record_format | MEDLINE/PubMed |
spelling | pubmed-51012952016-11-21 Modeling biological gradient formation: combining partial differential equations and Petri nets Bertens, Laura M. F. Kleijn, Jetty Hille, Sander C. Heiner, Monika Koutny, Maciej Verbeek, Fons J. Nat Comput Article Both Petri nets and differential equations are important modeling tools for biological processes. In this paper we demonstrate how these two modeling techniques can be combined to describe biological gradient formation. Parameters derived from partial differential equation describing the process of gradient formation are incorporated in an abstract Petri net model. The quantitative aspects of the resulting model are validated through a case study of gradient formation in the fruit fly. Springer Netherlands 2015-10-31 2016 /pmc/articles/PMC5101295/ /pubmed/27881934 http://dx.doi.org/10.1007/s11047-015-9531-4 Text en © The Author(s) 2015 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
spellingShingle | Article Bertens, Laura M. F. Kleijn, Jetty Hille, Sander C. Heiner, Monika Koutny, Maciej Verbeek, Fons J. Modeling biological gradient formation: combining partial differential equations and Petri nets |
title | Modeling biological gradient formation: combining partial differential equations and Petri nets |
title_full | Modeling biological gradient formation: combining partial differential equations and Petri nets |
title_fullStr | Modeling biological gradient formation: combining partial differential equations and Petri nets |
title_full_unstemmed | Modeling biological gradient formation: combining partial differential equations and Petri nets |
title_short | Modeling biological gradient formation: combining partial differential equations and Petri nets |
title_sort | modeling biological gradient formation: combining partial differential equations and petri nets |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5101295/ https://www.ncbi.nlm.nih.gov/pubmed/27881934 http://dx.doi.org/10.1007/s11047-015-9531-4 |
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