6 papers
Towards Data-Driven Modeling of Cell Cycle and Wound Closure Processes
Erik Blom, Qiyao Peng, Leah Pomfret +2
Effective wound repair treatments rely on a clear picture of how cell proliferation and migration are coordinated during tissue restoration. Fibroblasts are key contributors to tis…
Recent Analytical and Computational Developments on the Advection-Diffusion-Reaction Wildfire Model
Luca Nieding, A. George Morgan, Adrian Navas +6
Wildfires represent a problem for ecosystems, human activities, and economies, driven by the climate crisis and land-use changes. Predicting wildfire propagation through mathematic…
Positivity and long-term behaviour of a diffusion model with measure-valued nonlocal reaction term
Xiao Yang, Qiyao Peng, Sander C. Hille
The behaviour is investigated of solutions to a diffusion equation on the real line with nonlocal and singular reaction term, i.e., given by a Dirac source or sink at the origin. I…
Approximating a spatially-heterogeneously mass-emitting object by multiple point sources in a diffusion model
Qiyao Peng, Sander C. Hille
Various biological cells secrete diffusing chemical compounds into their environment for communication purposes. Secretion usually takes place over the cell membrane in a spatially…
Using multiple Dirac delta points to describe inhomogeneous flux density over a cell boundary in a single-cell diffusion model
Qiyao Peng, Sander C. Hille
Biological cells can release compounds into their direct environment, generally inhomogeneously over their cell membrane, after which the compounds spread by diffusion. In mathemat…
Approximation of a compound-exchanging cell by a Dirac point
Xiao Yang, Qiyao Peng, Sander C. Hille
Communication between single cells or higher organisms by means of diffusive compounds is an important phenomenon in biological systems. Modelling therefore often occurs, most stra…