Zobrazeno 1 - 10
of 168
pro vyhledávání: '"Buenzli, Pascal R"'
We propose a simple mathematical model to describe the mechanical relaxation of cells within a curved epithelial tissue layer represented by an arbitrary curve in two-dimensional space. This model generalises previous one-dimensional models of flat e
Externí odkaz:
http://arxiv.org/abs/2406.19197
Publikováno v:
Proc Roy Soc A (2024) 480: 20230906
The propagation of signalling molecules within cellular networks is affected by network topology, but also by the spatial arrangement of cells in the networks. Understanding the collective reaction--diffusion behaviour in space of signals propagating
Externí odkaz:
http://arxiv.org/abs/2312.03221
Mathematical models describing the spatial spreading and invasion of populations of biological cells are often developed in a continuum modelling framework using reaction-diffusion equations. While continuum models based on linear diffusion are routi
Externí odkaz:
http://arxiv.org/abs/2310.07938
Mathematical modelling of biological population dynamics often involves proposing high fidelity discrete agent-based models that capture stochasticity and individual-level processes. These models are often considered in conjunction with an approximat
Externí odkaz:
http://arxiv.org/abs/2308.11086
Understanding whether a population will survive and flourish or become extinct is a central question in population biology. One way of exploring this question is to study population dynamics using reaction-diffusion equations, where migration is usua
Externí odkaz:
http://arxiv.org/abs/2112.10989
Reaction-diffusion waves in multiple spatial dimensions advance at a rate that strongly depends on the curvature of the wave fronts. These waves have important applications in many physical, ecological, and biological systems. In this work, we analys
Externí odkaz:
http://arxiv.org/abs/2112.00928
The question of whether biological populations survive or are eventually driven to extinction has long been examined using mathematical models. In this work we study population survival or extinction using a stochastic, discrete lattice-based random
Externí odkaz:
http://arxiv.org/abs/2101.01389
Autor:
Hegarty-Cremer, Solene G.D., Borggaard, Xenia G., Andreasen, Christina M., van der Eerden, Bram C.J., Simpson, Matthew J., Andersen, Thomas L., Buenzli, Pascal R.
Publikováno v:
In Bone March 2024 180
We consider a free boundary model of epithelial cell migration with logistic growth and nonlinear diffusion induced by mechanical interactions. Using numerical simulations, phase plane and perturbation analysis, we find and analyse travelling wave so
Externí odkaz:
http://arxiv.org/abs/2005.13925
Autor:
VandenHeuvel, Daniel J., Devlin, Brenna L., Buenzli, Pascal R., Woodruff, Maria A., Simpson, Matthew J.
Publikováno v:
In Chemical Engineering Journal 1 November 2023 475