M. J. Plank

A stochastic mathematical model of 4D tumour spheroids with real-time fluorescent cell cycle labelling

This paper develops a stochastic individual-based model of 4D tumour spheroids and validates it against experimental data from human melanoma cell line experiments.

Fishing for biodiversity by balanced harvesting

This paper shows that balanced harvesting, where fishing mortality is scaled with species production rates, can protect rarer species while allowing exploitation of more productive ones in marine ecosystems.

Population dynamics with spatial structure and an Allee effect

The paper develops a spatial moment dynamics model to study population dynamics with an Allee effect and short-range interactions, showing spatial structure can alter extinction and survival outcomes compared to mean-field models.

Identifying density-dependent interactions in collective cell behaviour

The paper develops an individual-based model to study density-dependent cell behavior in scratch assays, finding that motility depends on cell density but proliferation does not.

Cooperative and non-cooperative behaviour in the exploitation of a common renewable resource with environmental stochasticity

This paper models cooperative and non-cooperative fishing behavior under environmental noise using stochastic optimization and agent-based simulations to assess the impact of noise on fishery sustainability and cooperation.

Small-scale spatial structure influences large-scale invasion rates

The paper shows that small-scale spatial structure affects invasion rates in populations, challenging mean-field model predictions.

Small-scale spatial structure affects predator-prey dynamics and coexistence

The paper shows that small-scale spatial structure can alter predator-prey dynamics, leading to species extinction instead of coexistence predicted by mean-field models.

Kia kaua te reo e rite ki te moa, ka ngaro: Do not let the language suffer the same fate as the moa

The paper develops a model to predict language extinction or recovery by analyzing proficiency transitions, showing Welsh may thrive while te reo Māori faces extinction without intervention.

Inferring parameters for a lattice-free model of cell migration and proliferation using experimental data

The paper calibrates a lattice-free individual-based model of cell migration and proliferation using experimental data from prostate cancer cells, showing the importance of individual interactions.