Stochasticity is a key characteristic of intracellular processes such as gene regulation and
chemical signalling. Therefore, characterizing stochastic effects in biochemical systems is …

Sigmoid growth models, such as the logistic, Gompertz and Richards' models, are widely
used to study population dynamics ranging from microscopic populations of cancer cells, to …

Reaction–diffusion models describing the movement, reproduction and death of individuals
within a population are key mathematical modelling tools with widespread applications in …

Collective cell spreading takes place in spatially continuous environments, yet it is often
modelled using discrete lattice-based approaches. Here, we use data from a series of cell …

Stochastic individual-based mathematical models are attractive for modelling biological
phenomena because they naturally capture the stochasticity and variability that is often …

We present a novel framework to parameterise a mathematical model of cell invasion that
describes how a population of melanoma cells invades into human skin tissue. Using simple …

Biological invasion, whereby populations of motile and proliferative individuals lead to
moving fronts that invade vacant regions, is routinely studied using partial differential …

Contact inhibition refers to a reduction in the rate of cell migration and/or cell proliferation in
regions of high cell density. Under normal conditions, contact inhibition is associated with …

We present a solid theoretical foundation for interpreting the origin of Allee effects by
providing the missing link in understanding how local individual-based mechanisms …

Identifying and quantifying spatial correlation are important aspects of studying the collective
behavior of multiagent systems. Pair correlation functions (PCFs) are powerful statistical …