Imperial College London

ProfessorPierreDegond

Faculty of Natural SciencesDepartment of Mathematics

Chair in Applied Mathematics
 
 
 
//

Contact

 

+44 (0)20 7594 1474p.degond Website CV

 
 
//

Location

 

6M38Huxley BuildingSouth Kensington Campus

//

Summary

 

Publications

Citation

BibTex format

@article{Degond:2017:10.1007/978-3-319-73371-5_5,
author = {Degond, PAA and Peurichard, D},
doi = {10.1007/978-3-319-73371-5_5},
journal = {Lecture Notes in Computational Science and Engineering},
pages = {93--108},
title = {Modelling tissue self-organization: from micro to macro models},
url = {http://dx.doi.org/10.1007/978-3-319-73371-5_5},
volume = {122},
year = {2017}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - In this chapter, we present recent works concerned with the derivation of a macroscopic model for complex interconnected fiber networks from an agent-based model, with applications to, but not limited to, adipose tissue self-organization. Starting from an agent-based model for interconnected fibers interacting through alignment interactions and having the ability to create and suppress cross-links, the formal limit of large number of individuals is first investigated. It leads to a kinetic system of two equations: one for the individual fiber distribution function and one for the distribution function of connected fiber pairs. The hydrodynamic limit, in a regime of instantaneous fiber linking/unlinking then leads to a macroscopic model describing the evolution of the fiber local density and mean orientation. These works are the first attempt to derive a macroscopic model for interconnected fibers from an agent-based formulation and represent a first step towards the formulation of a large scale synthetic tissue model which will serve for the investigation of large scale effects in tissue homeostasis.
AU - Degond,PAA
AU - Peurichard,D
DO - 10.1007/978-3-319-73371-5_5
EP - 108
PY - 2017///
SN - 1439-7358
SP - 93
TI - Modelling tissue self-organization: from micro to macro models
T2 - Lecture Notes in Computational Science and Engineering
UR - http://dx.doi.org/10.1007/978-3-319-73371-5_5
UR - http://hdl.handle.net/10044/1/43548
VL - 122
ER -