Zobrazeno 1 - 10
of 28 022
pro vyhledávání: '"Ruth, E"'
Random walks and related spatial stochastic models have been used in a range of application areas including animal and plant ecology, infectious disease epidemiology, developmental biology, wound healing, and oncology. Classical random walk models as
Externí odkaz:
http://arxiv.org/abs/2411.10972
Parameter inference is essential when interpreting observational data using mathematical models. Standard inference methods for differential equation models typically rely on obtaining repeated numerical solutions of the differential equation(s). Rec
Externí odkaz:
http://arxiv.org/abs/2411.10494
A key initial step in mechanistic modelling of dynamical systems using first-order ordinary differential equations is to conduct a global structural identifiability analysis. This entails deducing which parameter combinations can be estimated from ce
Externí odkaz:
http://arxiv.org/abs/2410.03757
Advances in experimental techniques allow the collection of high-space-and-time resolution data that track individual motile entities over time. This poses the question of how to use these data to efficiently and effectively calibrate motion models.
Externí odkaz:
http://arxiv.org/abs/2406.19787
Real-world cellular invasion processes often take place in curved geometries. Such problems are frequently simplified in models to neglect the curved geometry in favour of computational simplicity, yet doing so risks inaccuracy in any model-based pre
Externí odkaz:
http://arxiv.org/abs/2406.08291
Autor:
Simpson, Matthew J, Baker, Ruth E
Interpreting data with mathematical models is an important aspect of real-world applied mathematical modeling. Very often we are interested to understand the extent to which a particular data set informs and constrains model parameters. This question
Externí odkaz:
http://arxiv.org/abs/2405.08177
We consider a minimal go-or-grow model of cell invasion, whereby cells can either proliferate, following logistic growth, or move, via linear diffusion, and phenotypic switching between these two states is density-dependent. Formal analysis in the fa
Externí odkaz:
http://arxiv.org/abs/2404.11251
Epithelial monolayers are some of the best-studied models for collective cell migration due to their abundance in multicellular systems and their tractability. Experimentally, the collective migration of epithelial monolayers can be robustly steered
Externí odkaz:
http://arxiv.org/abs/2402.08700
The spatiotemporal coordination and regulation of cell proliferation is fundamental in many aspects of development and tissue maintenance. Cells have the ability to adapt their division rates in response to mechanical constraints, yet we do not fully
Externí odkaz:
http://arxiv.org/abs/2401.08805
A fundamental feature of collective cell migration is phenotypic heterogeneity which, for example, influences tumour progression and relapse. While current mathematical models often consider discrete phenotypic structuring of the cell population, in-
Externí odkaz:
http://arxiv.org/abs/2401.07279