Author

A. C. Fassoni

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Preprint Sep 2026

Stochastic gradient descent on the epigenetic landscape: a unified framework for cellular plasticity, tumor heterogeneity, and the asymptotic irrelevance of fitness

Phenotypic plasticity, the ability of cells to switch between states, is central to development, differentiation, and therapy resistance. Although it is modeled at several scales, from compartmental ODEs to phenotype-structured PDEs and single-cell stochastic equations, a framework connecting these descriptions is miss...

A. C. Fassoni · 1 citation · ⚡1

Preprint Sep 2026

Fitness is asymptotically irrelevant under uniform competition in phenotype-structured populations

We prove that, in phenotype-structured populations under uniform competition, the long-term phenotypic distribution does not depend on the proliferation rates: it is the stationary distribution of the switching dynamics alone. The density u(x,t) of cells with phenotype x evolves by advection and diffusion in phenotype...

A. C. Fassoni · 1 citation · ⚡1