Search Results for author:
Found 5 papers, 4 papers with code
Exact sharp-fronted solutions for nonlinear diffusion on evolving domains
We obtain the solution by identifying a series of transformations that converts the model of a nonlinear diffusive process on an evolving domain to a nonlinear diffusion equation on a fixed domain, which admits known exact solutions for certain choices of diffusivity functions.
Exact solutions for diffusive transport on heterogeneous growing domains
The exact solutions reveal the relationship between model parameters, such as the diffusivity and the type and rate of domain growth, and key statistics, such as the survival and splitting probabilities.
Molecular Communication for Quorum Sensing Inspired Cooperative Drug Delivery
Our results show that the activation probability at the B-NM increases as this B-NM is located closer to the center of the B-NM population and the aggregate absorption rate of the drug molecules non-linearly increases as the population density increases.
Modelling realistic 3D deformations of simple epithelia in dynamic homeostasis
We also demonstrate the model's robustness under tissue renewal, cell migration and cell removal.
Extinction of bistable populations is affected by the shape of their initial spatial distribution
In this work we study population survival or extinction using a stochastic, discrete lattice-based random walk model where individuals undergo movement, birth and death events.
