Once cancer is initiated, with normal cells mutated into malignant ones, a solid tumour
grows, develops and spreads within its microenvironment invading the local tissue; the …

In the development of cell-based cancer therapies, quantitative mathematical models of
cellular interactions are instrumental in understanding treatment efficacy. Efforts to validate …

In many human cancers, the rate of cell growth depends crucially on the size of the tumor
cell population. Low, zero, or negative growth at low population densities is known as the …

As climate change unravels, ecosystems are facing a warming of the climate and an
increase in extreme heat events that are unprecedented in recent geological history. We …

The Allee effect describes populations that deviate from logistic growth models and arises in
applications including ecology and cell biology. A common justification for incorporating …

Understanding whether a population will survive or become extinct is a central question in
population biology. One way of exploring this question is to study population dynamics using …

Nanoparticles are increasingly employed as a vehicle for the targeted delivery of
therapeutics to specific cell types. However, much remains to be discovered about the …

The component Allee effect (AE) is the positive correlation between an organism's fitness
component and population density. Depending on the population spatial structure, which …

Riots originating during, or in the aftermath of, sports events can incur significant costs in
damages, as well as large-scale panic and injuries. A mathematical description of sports …

In the study of biological populations, the Allee effect detects a critical density below which
the population is severely endangered and at risk of extinction. This effect supersedes the …