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Modeling biological gradient formation: combining partial differential equations and Petri nets

Lookup NU author(s): Professor Maciej KoutnyORCiD



This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).


Both Petri nets and differential equations are important modelling 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.

Publication metadata

Author(s): Bertens L, Kleijn J, Hille S, Heiner M, Koutny M, Verbeek F

Publication type: Article

Publication status: Published

Journal: Natural Computing

Year: 2016

Volume: 15

Issue: 4

Pages: 665-675

Print publication date: 01/12/2016

Online publication date: 31/10/2015

Acceptance date: 20/10/2015

Date deposited: 02/11/2015

ISSN (print): 1567-7818

ISSN (electronic): 1572-9796

Publisher: Springer


DOI: 10.1007/s11047-015-9531-4


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