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

Lookup NU author(s): Professor Maciej KoutnyORCiD



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.

Publication metadata

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

Publication type: Report

Publication status: Published

Series Title: School of Computing Science Technical Report Series

Year: 2013

Pages: 21

Print publication date: 01/03/2013

Source Publication Date: March 2013

Report Number: 1379

Institution: School of Computing Science, University of Newcastle upon Tyne

Place Published: Newcastle upon Tyne