23 citations · 52 across the 14 of their papers we have counts for
15 papers
Fiber crosslinking drives the emergence of order in a 3D dynamical network model
Pauline Chassonnery, Jenny Paupert, Anne Lorsignol +5
The Extra-Cellular-Matrix (ECM) is a complex interconnected 3D network that provides structural support for the cells and tissues and defines organ architecture key for their healt…
Multispecies cross-diffusions: from a nonlocal mean-field to a porous medium system without self-diffusion
Marie Doumic, Sophie Hecht, Benoit Perthame +1
Systems describing the long-range interaction between individuals have attracted a lot of attention in the last years, in particular in relation with living systems. These systems…
Asymptotic preserving schemes for nonlinear kinetic equations leading to volume-exclusion chemotaxis in the diffusive limit
Gissell Estrada-Rodriguez, Diane Peurichard, Xinran Ruan
In this work we first prove, by formal arguments, that the diffusion limit of nonlinear kinetic equations, where both the transport term and the turning operator are density-depend…
How environment affects active particle swarms: a case study
Pierre Degond, Angelika Manhart, Sara Merino-Aceituno +2
We investigate the collective motion of self-propelled agents in an environment filled with obstacles that are tethered to fixed positions via springs. The active particles are abl…
A purely mechanical model with asymmetric features for early morphogenesis of rod-shaped bacteria micro-colony
Marie Doumic, Sophie Hecht, Diane Peurichard
To model the morphogenesis of rod-shaped bacterial micro-colony, several individual-based models have been proposed in the biophysical literature. When studying the shape of micro-…
Treatment-induced shrinking of tumour aggregates: A nonlinear volume-filling chemotactic approach
Luis Almeida, Gissell Estrada-Rodriguez, Lisa Oliver +3
Motivated by experimental observations in 3D/organoid cultures derived from glioblastoma, we develop a mathematical model where tumour aggregate formation is obtained as the result…
Large-scale dynamics of self-propelled particles moving through obstacles: model derivation and pattern formation
Pedro Aceves-Sanchez, Pierre Degond, Eric E. Keaveny +3
We model and study the patterns created through the interaction of collectively moving self-propelled particles (SPPs) and elastically tethered obstacles. Simulations of an individ…
Modelling adhesion-independent cell migration
Gaspard Jankowiak, Diane Peurichard, Anne Reversat +2
A two-dimensional mathematical model for cells migrating without adhesion capabilities is presented and analyzed. Cells are represented by their cortex, which is modelled as an ela…
A new model for the emergence of blood capillary networks
P. Aceves-Sanchez, B. Aymard, D. Peurichard +5
We propose a new model for the emergence of blood capillary networks. We assimilate the tissue and extra cellular matrix as a porous medium, using Darcy's law for describing both b…
Extra-cellular matrix rigidity may dictate the fate of injury outcome
Diane Peurichard, Marielle Ousset, Jenny Paupert +4
After injury, if regeneration can be observed in hydra, planaria and some vertebrates, regeneration is rare in mammals and particularly in humans. In this paper, we investigate the…
Modelling cell-cell collision and adhesion with the Filament Based Lamellipodium Model
Nikolaos Sfakianakis, Diane Peurichard, Aaron Brunk +1
We extend the live-cell motility Filament Based Lamellipodium Model to incorporate the forces exerted on the lamellipodium of the cells due to cell-cell collision and cadherin indu…
Simple mechanical cues could explain adipose tissue morphology
Diane Peurichard, Fanny Delebecque, Anne Lorsignol +5
The mechanisms by which organs acquire their functional structure and realize its maintenance (or homeostasis) over time are still largely unknown. In this paper, we investigate th…
Particle interactions mediated by dynamical networks: assessment of macroscopic descriptions
Julien Barré, José Antonio Carrillo de la Plata, Pierre Degond +2
We provide a numerical study of the macroscopic model of [3] derived from an agent-based model for a system of particles interacting through a dynamical network of links. Assuming…
From short-range repulsion to Hele-Shaw problem in a model of tumor growth
Sebastien Motsch, Diane Peurichard
We investigate the large time behavior of an agent based model describing tumor growth. The microscopic model combines short-range repulsion and cell division. As the number of cel…
Continuum model for linked fibers with alignment interactions
Pierre Degond, Fanny Delebecque, Diane Peurichard
We introduce an individual-based model for fiber elements having the ability to cross-link or unlink each other and to align with each other at the cross links. We first formally d…