P. Gerlee

A hole in Turing's theory: pattern formation on the sphere with a hole

The paper investigates how a bud scar on a yeast cell membrane affects pattern formation by modeling a hole on a sphere and analyzing the Schnakenberg system.

Spatial cumulant models enable spatially informed treatment strategies and analysis of local interactions in cancer systems

This paper introduces spatial cumulant models to analyze and improve treatment strategies for cancer cell populations modeled as spatio-temporal point processes.

Weak selection and the separation of eco-evo time scales using perturbation analysis

The paper uses perturbation analysis to study eco-evo dynamics under weak selection, showing error scaling with selection strength and approximation order.

Autocrine signaling explains the emergence of Allee effects in cancer cell populations

This study shows autocrine signaling can cause Allee effects in cancer cell populations, with growth rates depending on population density and death-to-proliferation ratios.

Quantifying cell line specific proliferation and migration rates in glioblastoma cells

The paper quantifies proliferation and migration rates in glioblastoma cell lines and finds a negative correlation between these rates, supporting the Go or Grow hypothesis.

Persistence of cooperation in diffusive public goods games

This study analyzes the persistence of cooperation in diffusive public goods games by deriving a finite-size correction that relates model parameters to long-term cooperation.

Inferring rates of metastatic dissemination using stochastic network models

This paper develops a stochastic network model to infer metastatic dissemination rates using clinical data from tongue and ovarian cancer, revealing site-specific dissemination rates and enabling patient-specific metastasis predictions.

Extinction times in diffusive public good population dynamics

The paper studies extinction dynamics in spatially structured populations of producers and free-riders in a public good game, finding that spatial structure does not affect extinction time in well-mixed systems but can influence it in segregated populations.

Neighborhood size-effects in nonlinear public goods games

The paper studies how neighborhood size and nonlinear public goods effects influence evolutionary dynamics in populations of cooperators and defectors.

Extinction Rates In Tumor Public Goods Games

The paper shows that standard replicator dynamics may not capture equilibrium timescales in tumor evolution due to overlooked population growth effects.