HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

Hybrid Modelling in Biology: a Classification Review

A Stéphanou 1 Vitaly Volpert 2, 3
1 TIMC-IMAG-DyCTiM - Dynamique Cellulaire et Tissulaire- Interdisciplinarité, Modèles & Microscopies
TIMC-IMAG - Techniques de l'Ingénierie Médicale et de la Complexité - Informatique, Mathématiques et Applications, Grenoble - UMR 5525
2 DRACULA - Multi-scale modelling of cell dynamics : application to hematopoiesis
CGPhiMC - Centre de génétique et de physiologie moléculaire et cellulaire, Inria Grenoble - Rhône-Alpes, ICJ - Institut Camille Jordan [Villeurbanne]
3 MMCS - Modélisation mathématique, calcul scientifique
ICJ - Institut Camille Jordan [Villeurbanne]
Abstract : 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.
Document type :
Journal articles
Complete list of metadata

Cited literature [44 references]  Display  Hide  Download

https://hal.inria.fr/hal-01397430
Contributor : Vitaly Volpert Connect in order to contact the contributor
Submitted on : Tuesday, November 15, 2016 - 6:51:45 PM
Last modification on : Monday, May 16, 2022 - 3:12:02 PM
Long-term archiving on: : Thursday, March 16, 2017 - 4:38:36 PM

File

Stephanou_2016_1.pdf
Files produced by the author(s)

Identifiers

Citation

A Stéphanou, Vitaly Volpert. Hybrid Modelling in Biology: a Classification Review. Mathematical Modelling of Natural Phenomena, EDP Sciences, 2016, 11, pp.37 - 48. ⟨10.1051/mmnp/201611103⟩. ⟨hal-01397430⟩

Share

Metrics

Record views

1014

Files downloads

207