| Issue |
Math. Model. Nat. Phenom.
Volume 11, Number 1, 2016
Reviews in mathematical modelling
|
|
|---|---|---|
| Page(s) | 37 - 48 | |
| DOI | https://doi.org/10.1051/mmnp/201611103 | |
| Published online | 03 December 2015 | |
Hybrid Modelling in Biology: a Classification Review
1 UJF-Grenoble 1, CNRS, Laboratory
TIMC-IMAG/DyCTiM, UMR 5525, 38041
Grenoble,
France
2 Institut Camille Jordan, UMR 5208
CNRS, University Lyon 1, 69622
Villeurbanne,
France
3 INRIA Team Dracula, INRIA Lyon La
Doua, 69603
Villeurbanne,
France
4 Institute of Numerical Mathematics,
Russian Academy of Sciences, 119333
Moscow,
Russia
⋆ Corresponding author. E-mail: angelique.stephanou@imag.fr
This paper presents a general review on hybrid modelling which is about to become ubiquitous in biological and medical modelling. Hybrid modelling is classically defined as the coupling of a continuous approach with a discrete one, in order to model a complex phenomenon that cannot be described in a standard homogeneous way mainly due to its inherent multiscale nature. In fact, hybrid modelling can be more than that since any types of coupled formalisms qualify as being hybrid. This review first presents the evolution and current context of this modelling approach. It then proposes a classification of the models through three different types that relate to the nature and level of coupling of the formalisms used.
Mathematics Subject Classification: 35Q92 / 68R0 / 92B05 / 92C42 / 92C50 / 93A30 / 93C55
Key words: complex system / discrete–continuous / hybrid model / multiscale / system biology.
© EDP Sciences, 2016
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