Imperial College London


Faculty of Natural SciencesDepartment of Mathematics

Chair in Applied Mathematics



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6M38Huxley BuildingSouth Kensington Campus






BibTex format

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 = {},
volume = {122},
year = {2017}

RIS format (EndNote, RefMan)

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 -
UR -
VL - 122
ER -