3 papers
math.AP2023
An integrative phenotype-structured partial differential equation model for the population dynamics of epithelial-mesenchymal transition
Jules Guilberteau, Paras Jain, Mohit Kumar Jolly +2
Phenotypic heterogeneity along the epithelial-mesenchymal (E-M) axis contributes to cancer metastasis and drug resistance. Recent experimental efforts have collated detailed time-c…
math.NA2023
A particle method for non-local advection-selection-mutation equations
Frank Ernesto Alvarez, Jules Guilberteau
The well-posedness of a non-local advection-selection-mutation problem deriving from adaptive dynamics models is shown for a wide family of initial data. A particle method is then…
math.CA2023
Bistability and oscillatory behaviours of cyclic feedback loops
Jules Guilberteau
In this paper, we study the stability of an Ordinary Differential Equation (ODE) usually referred to as Cyclic Feedback Loop, which typically models a biological network of molecul…