Mathematical models are routinely calibrated to experimental data, with goals ranging from
building predictive models to quantifying parameters that cannot be measured. Whether or …

Physiological processes rely on the control of cell proliferation, and the dysregulation of
these processes underlies various pathological conditions, including cancer. Mathematical …

In vitro tumour spheroids have been used to study avascular tumour growth and drug design
for over 50 years. Tumour spheroids exhibit heterogeneity within the growing population that …

We introduce a new spatial statistic, the weighted pair correlation function (wPCF). The
wPCF extends the existing pair correlation function (PCF) and cross-PCF to describe spatial …

Bayesian synthetic likelihood (BSL) is now an established method for conducting
approximate Bayesian inference in models where, due to the intractability of the likelihood …

There has been much recent interest in modifying Bayesian inference for misspecified
models so that it is useful for specific purposes. One popular modified Bayesian inference …

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 …

Cell proliferation is the most important cellular-level mechanism responsible for regulating
cell population dynamics in living tissues. Modern experimental procedures show that the …

Mesenchymal stem cells (MSCs) are proliferative and multipotent cells that play a key role in
the bone regeneration process. Empirical data have repeatedly shown the bioregulatory …

For many stochastic models of interest in systems biology, such as those describing
biochemical reaction networks, exact quantification of parameter uncertainty through …