Cancer is a complex disease, responsible for a significant portion of global deaths. The
increasing prioritisation of know-why over know-how approaches in biological research has …

Both the timing and molecular determinants of metastasis are unknown, hindering treatment
and prevention efforts. Here we characterize the evolutionary dynamics of this lethal process …

Tumor growth curves are classically modeled by means of ordinary differential equations. In
analyzing the Gompertz model several studies have reported a striking correlation between …

Mathematical Oncology investigates cancer-related phenomena through mathematical
models as comprehensive as possible. Accordingly, an interdisciplinary approach involving …

Background While mathematical models are often used to predict progression of cancer and
treatment outcomes, there is still uncertainty over how to best model tumor growth. Seven …

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 …

In this paper, we develop methods for inferring tumor growth rates from the observation of
tumor volumes at two time points. We fit power law, exponential, Gompertz, and Spratt's …

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

Tumour spheroids are common in vitro experimental models of avascular tumour growth.
Compared with traditional two-dimensional culture, tumour spheroids more closely mimic …

ODE-based population models remain viable tools to investigate tumor growth and support
clinical evidence. By following a fractional approach, this study derives analytical solutions …