Coupling Chemotaxis and Growth Poromechanics for the Modelling of Feather Primordia Patterning

Coupling Chemotaxis and Growth Poromechanics for the Modelling of Feather Primordia Patterning

In this paper we propose a new mathematical model for describing the complex interplay between skin cell populations with fibroblast growth factor and bone morphogenetic protein, occurring within deformable porous media describing feather primordia patterning. Tissue growth, in turn, modifies the tr...

Full description

Bibliographic Details
Main Authors:	Nicolás A. Barnafi, Luis Miguel De Oliveira Vilaca, Michel C. Milinkovitch, Ricardo Ruiz-Baier
Format:	Article
Language:	English
Published:	MDPI AG 2022-11-01
Series:	Mathematics
Subjects:	mathematical modelling numerical methods linear and nonlinear poroelasticity chemotaxis linear stability analysis tissue growth
Online Access:	https://www.mdpi.com/2227-7390/10/21/4096

Similar Items

Chemotaxis /
by: 348966 Eisenbach, Michael, et al.
Published: (2004)

Dimensional reduction of a poromechanical cardiac model for myocardial perfusion studies
by: Radomír Chabiniok, et al.
Published: (2022-12-01)

A finite element approach to the Keller–Segel Chemotaxis system with impact of nonlocal diffusion
by: A. Baskar, et al.
Published: (2024-12-01)

On blow-up criteria for a coupled chemotaxis fluid model
by: Hongyan Xie, et al.
Published: (2017-01-01)

The Global Existence and Boundedness of Solutions to a Chemotaxis–Haptotaxis Model with Nonlinear Diffusion and Signal Production
by: Beibei Ai, et al.
Published: (2024-08-01)

Analysis of traveling fronts for chemotaxis model with the nonlinear degenerate viscosity
by: Mohammad Ghani
Published: (2023-11-01)

Exploring Arsenic Transformation and Chemotaxis in a Pseudomonas sp.
by: Pankaj Kumar Arora, et al.
Published: (2024-12-01)

Role of Glutathione in Neutrophil Chemotaxis in Periodontitis
by: Nurul Iman Binti Badlishah Sham, et al.
Published: (2023-11-01)

A priori bounds and global existence for a strongly coupled quasilinear parabolic system modeling chemotaxis
by: Hendrik J. Kuiper
Published: (2001-07-01)

Global boundedness in an attraction–repulsion Chemotaxis system with nonlinear productions and logistic source
by: Rongxiang Wang, et al.
Published: (2024-10-01)

Global existence and uniform boundedness to a bi-attraction chemotaxis system with nonlinear indirect signal mechanisms
by: Chang-Jian Wang, et al.
Published: (2023-11-01)

Sensory adaptation in a continuum model of bacterial chemotaxis—working range, cost-accuracy relation, and coupled systems
by: Vansh Kharbanda, et al.
Published: (2024-01-01)

Analysis of traveling waves for nonlinear degenerate viscosity of chemotaxis model under general perturbations
by: Mohammad Ghani
Published: (2024-01-01)

The Novel Protein Cj0371 Inhibits Chemotaxis of Campylobacter jejuni
by: Xueqing Du, et al.
Published: (2018-08-01)

Pattern formation of a volume-filling chemotaxis model with a bistable source
by: Zuojun Ma
Published: (2024-10-01)

Multiplexed microfluidic screening of bacterial chemotaxis
by: Michael R Stehnach, et al.
Published: (2023-07-01)

Sperm chemotaxis in marine invertebrates and mammals
by: Hang Kang, et al.
Published: (2017-01-01)

Recent advances in neutrophil chemotaxis abnormalities during sepsis
by: Yu-Ying Zhou, et al.
Published: (2022-11-01)

Sperm chemotaxis is driven by the slope of the chemoattractant concentration field
by: Héctor Vicente Ramírez-Gómez, et al.
Published: (2020-03-01)

Second-order Stokes wave-induced dynamic response and instantaneous liquefaction in a transversely isotropic and multilayered poroelastic seabed
by: Zhiqing Zhang, et al.
Published: (2022-12-01)

Long time behavior of the solution to a chemotaxis system with nonlinear indirect signal production and logistic source
by: Chang-Jian Wang, et al.
Published: (2023-04-01)

A Review on the Qualitative Behavior of Solutions in Some Chemotaxis–Haptotaxis Models of Cancer Invasion
by: Yifu Wang
Published: (2020-09-01)

Biocompatible High-Resolution 3D-Printed Microfluidic Devices: Integrated Cell Chemotaxis Demonstration
by: Mawla Boaks, et al.
Published: (2023-08-01)

Adaptability of non-genetic diversity in bacterial chemotaxis
by: Nicholas W Frankel, et al.
Published: (2014-10-01)

Identification of Positive Chemotaxis in the Protozoan Pathogen Trypanosoma brucei
by: Stephanie F. DeMarco, et al.
Published: (2020-08-01)

Using light to shape chemical gradients for parallel and automated analysis of chemotaxis
by: Sean R Collins, et al.
Published: (2015-04-01)

Global boundedness of a higher-dimensional chemotaxis system on alopecia areata
by: Wenjie Zhang, et al.
Published: (2023-02-01)

Neutrophil chemotaxis score and chemotaxis-related genes have the potential for clinical application to prognosticate the survival of patients with tumours
by: Yunxi Yang, et al.
Published: (2024-10-01)

Optimal control of a chemotaxis equation arising in angiogenesis
by: M. Delgado, et al.
Published: (2022-11-01)

Structural analyses unravel the molecular mechanism of cyclic di-GMP regulation of bacterial chemotaxis via a PilZ adaptor protein
by: Yan, Xin-Fu, et al.
Published: (2018)

Projection-based reduced order modeling of an iterative scheme for linear thermo-poroelasticity
by: Francesco Ballarin, et al.
Published: (2024-02-01)

Coupling linear virtual element and non-linear finite volume methods for poroelasticity
by: Enchéry, Guillaume, et al.
Published: (2023-11-01)

Mimic Nature Using Chemotaxis of Ionic Liquid Microdroplets for Drug Delivery Purposes
by: Kobra Khodarahmian, et al.
Published: (2022-01-01)

The decay rates of solutions to a chemotaxis-shallow water system
by: Yanqiu Huang, et al.
Published: (2021-03-01)

DegS protease regulates the motility, chemotaxis, and colonization of Vibrio cholerae
by: Mei Zou, et al.
Published: (2023-04-01)

New twofold saddle-point formulations for Biot poroelasticity with porosity-dependent permeability
by: Bishnu P. Lamichhane, et al.
Published: (2024-02-01)

Homogenized Balance Equations for Nonlinear Poroelastic Composites
by: Laura Miller, et al.
Published: (2021-07-01)

A further study on an attraction-repulsion chemotaxis system with logistic source
by: Wanjuan Du
Published: (2024-05-01)

A note on the boundedness in a chemotaxis-growth system with nonlinear sensitivity
by: Pan Zheng, et al.
Published: (2018-02-01)

Dissecting thrombus-directed chemotaxis and random movement in neutrophil near-thrombus motion in flow chambers
by: Julia-Jessica D. Korobkin, et al.
Published: (2024-05-01)