P. K. Maini

A DNA-structured mathematical model of cell-cycle progression in cyclic hypoxia

This paper develops a DNA-structured mathematical model to predict how cyclic hypoxia affects cell-cycle progression, showing that prolonged re-oxygenation slows proliferation while short cycles inhibit it.

Spatial structure impacts adaptive therapy by shaping intra-tumoral competition

This study shows how spatial structure affects adaptive therapy by influencing intra-tumoral competition between drug-sensitive and resistant cells.

Abnormal morphology biases haematocrit distribution in tumour vasculature and contributes to heterogeneity in tissue oxygenation

The paper investigates how abnormal vascular morphology affects haematocrit distribution and tissue oxygenation in tumours, introducing a metric λ to monitor anti-angiogenic treatment efficacy.

A mathematical dissection of the adaptation of cell populations to fluctuating oxygen levels

The paper uses a phenotype-structured model to show how fluctuating oxygen levels affect cell population dynamics and competitive advantage through phenotypic variation rates.

Mix & Match: Phenotypic coexistence as a key facilitator of solid tumour invasion

This study uses a mathematical model to show that stable coexistence of different cancer cell phenotypes enhances tumour invasion by allowing complementary traits to work synergistically.

Recasting the cancer stem cell hypothesis: unification using a continuum model of microenvironmental forces

The paper unifies the cancer stem cell and stochastic models using a continuum model of microenvironmental forces, supported by clonogenic assay results.

Age-structure as key to delayed logistic proliferation of scratch assays

This paper introduces a non-linear age-structured population model to explain the two-phase proliferation observed in scratch assays, showing that resource concentration regulates the transition between phases.

Inferring Tumour Proliferative Organisation from Phylogenetic Tree Measures in a Computational Model

This study uses computational modeling to infer tumour proliferative hierarchy by analyzing phylogenetic tree measures under cancer stem cell and neutral evolution assumptions.

The importance of geometry in the corneal micropocket angiogenesis assay

This paper develops a 3D mathematical model of corneal angiogenesis to assess how geometry affects vascular patterning and compares results to planar models.

The evolution of tumour composition during fractionated radiotherapy: implications for outcome

This study models how tumour oxygen levels change during radiotherapy and shows how oxygen heterogeneity affects radiation response and treatment outcomes.

Logistic proliferation of cells in scratch assays is delayed

This study shows that logistic growth models misrepresent cell proliferation in scratch assays due to a disturbance phase, and that distinguishing between phases improves parameter estimates.