Interaction−Based Modeling of Morphogenesis in MGS

Jean-Louis Giavitto 1, 2 Olivier Michel 3 Antoine Spicher 3
1 MuTant - Synchronous Realtime Processing and Programming of Music Signals
Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6, IRCAM, CNRS - Centre National de la Recherche Scientifique
Abstract : In this chapter, we advocate a domain specific language (DSL) approach to overcome the difficulties of modeling and simulating morphogenetic processes. A careful discussion of the design goals of a DSL leads to the development of an ex- perimental programming language called MGS. Its declarative approach is based on the notion of topological collection originating from algebraic topology. Topologi- cal collections arise naturally when modeling a "dynamical system with a dynamic structure", or (DS)2, as the state of the system. The evolution function of the system is specified by a transformation, which is a set of rewriting rules where each rule defines a local interaction. We illustrate these notions through different models of the same morphogenetic process: the growth of a T-shaped structure. The objective is to show how a variety of models can be consistently handled within the MGS framework.
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Submitted on : Wednesday, January 8, 2014 - 5:06:46 PM
Last modification on : Thursday, March 21, 2019 - 1:13:42 PM

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Jean-Louis Giavitto, Olivier Michel, Antoine Spicher. Interaction−Based Modeling of Morphogenesis in MGS. R. Doursat and H. Sayama. Morphogenetic Engineering, Springer, pp.409-440, 2013, Understanding Complex Systems, 978-3-642-33901-1. ⟨10.1007/978-3-642-33902-8_16⟩. ⟨hal-00925879⟩

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