We discuss issues of structural and practical identifiability of partially observed differential
equations which are often applied in systems biology. The development of mathematical …

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

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 …

Throughout the life sciences, we routinely seek to interpret measurements and observations
using parametrized mechanistic mathematical models. A fundamental and often overlooked …

Tumour spheroid experiments are routinely used to study cancer progression and treatment.
Various and inconsistent experimental designs are used, leading to challenges in …

Partial differential equation (PDE) models are often used to study biological phenomena
involving movement-birth–death processes, including ecological population dynamics and …

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

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 …

Interpreting data using mechanistic mathematical models provides a foundation for
discovery and decision-making in all areas of science and engineering. Developing …

This systematic review of practical identifiability (PI) explores the challenging issue of how
parameter identification of models is affected by both experimental considerations and …