# The PIMS Postdoctoral Fellow Seminar: Konstantinos Mamis

## Topic

A simple stochastic model for cell population dynamics in colonic crypts

## Details

The questions of how healthy colonic crypts maintain their size under the rapid cell turnover in intestinal epithelium, and how homeostasis is disrupted by driver mutations, are central to understanding colorectal tumorigenesis. We propose a three-type stochastic branching process, which accounts for stem, transit-amplifying (TA) and fully differentiated (FD) cells, to model the dynamics of cell populations residing in colonic crypts. Our model is simple in its formulation, allowing us to estimate all but one of the model parameters from the literature. Fitting the single remaining parameter, we find that model results agree well with data from healthy human colonic crypts, capturing the considerable variance in population sizes observed experimentally. Importantly, our model predicts a steady-state population in healthy colonic crypts for relevant parameter values. We show that APC and KRAS mutations, the most significant early alterations leading to colorectal cancer, result in increased steady-state populations in mutated crypts, in agreement with experimental results. Finally, our model predicts a simple condition for unbounded growth of cells in a crypt, corresponding to colorectal malignancy. This is predicted to occur when the division rate of TA cells exceeds their differentiation rate, with implications for therapeutic cancer prevention strategies.

**Speaker biography:** Konstantinos obtained his PhD in Stochastic Dynamics from the National Technical University of Athens, Greece, in 2020. As a postdoctoral researcher, he worked for a year in the North Carolina State University, Math Department on stochastic compartmental models in epidemiology. In his current postdoctoral appointment, he is a member of Prof. Ivana Bozic's group in the University of Washington, Applied Math Department focusing on the stochastic modeling of colorectal cancer initiation.

## Additional Information

This seminar takes places across multiple time zones: 9:30 AM Pacific/ 10:30 AM Mountain / 11:30 AM Central

Register via Zoom to receive the link (and reminders) for this event and the rest of the series.

See past seminar recordings on MathTube.

Konstantinos Mamis

**Scientific, Seminar**

**February 14, 2024**

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