Cell differentiation is a process through which a generic cell evolves into a given type of cell, usually into a more specialized type. Cells of the human body have nearly identical genome but exhibit very different phenotypes that allow them to carry out specific functions and react to changes in the surrounding environment. We can model cells sharing the same surface attributes (same phenotype) as belonging to the same mathematical state (or compartment). Cells can either die, divide or change phenotype (entering another compartment). We derive a cell-compartmental model for cell differentiation; by defining a family of random variables we can model the progeny of a founder cell as a stochastic process. We can describe the evolution of mean quantities by a set of ordinary differential equations and we analyse a number of summary statistics to bring insight to the understanding of cellular dynamics. We show, with two case studies from Cellular Immunology, how our mathematical techniques can shed light on the dynamics of cell differentiation in different systems.

# Contributed Talk Session - CT08

#### Wednesday, June 16 at 10:30pm (PDT)

Thursday, June 17 at 06:30am (BST)

Thursday, June 17 02:30pm (KST)

# Contributed Talk Session - CT08

##### CT08-CDEV:

CDEV Subgroup Contributed Talks

**Flavia Feliciangeli***University of Leeds, Bayer AG*

"How is a population of final cells maintained? A compartmental branching approach for cell differentiation"**Sakurako Tanida***The University of Tokyo*

"Organoid morphogenesis at various luminal fluid pressure and proliferation time in a multicellular phase-field model"**Kana Fuji***The University of Tokyo*

"Lumenogenesis simulations of organoids using a multicellular phase-field model with molecules of apical components"**Mete Demircigil***Institut Camille Jordan, Lyon*

"Aerotactic Waves in Dictyostelium discoideum : When Self-Generated Gradients engage with Expansion by Cell Division."

##### CT08-ECOP:

ECOP Subgroup Contributed Talks

**Prince Harvim***University of Ottawa*

"Transmission Dynamics and Control Mechanisms of Vector-Borne Diseases with Active and Passive Movements Between Urban and Satellite Cities"**Qianying Lin***University of Michigan, Ann Arbor*

"Viral Phylodynamics and A Class of Markov Genealogy Processes"**Sipkaduwa Arachchige Sashika Sureni Wickramasooriya***Clarkson University*

"Biological Control via Alternative Food to Predator"

##### CT08-EVOP:

EVOP Subgroup Contributed Talks

**Laurence Ketchemen Tchouaga***University of Ottawa*

"Population density in fragmented landscapes under monostable and bistable dynamics"**Luigi Esercito***Bielefeld University*

"Lines of descent in a Moran model with frequency-dependent selection and mutation"**Léonard Dekens***Institut Camille Jordan, Université Claude Bernard Lyon 1*

"Quantitative Trait in a Patchy Environment: Beneath the Gaussian Approximation"

##### CT08-MEPI:

MEPI Subgroup Contributed Talks

**Wongyeong Choi***Department of Mathematics, Soongsil University*

" Mathematical modeling and optimal intervention strategies to control COVID-19"**David Wu***University of Auckland*

"Likelihood-based estimation and prediction for misspecified epidemic models: an application to measles in Samoa"**Jiyeon Suh***School of Mathematics and Computing (Computational Science and Engineering), Yonsei University, Seoul, Republic of Korea*

"Cost-benefit analysis of tafenoquine for the relapse prevention of Plasmodium vivax malaria in South Korea"**Andrew Nugent***University of Warwick*

"Analysing early warning signals of disease elimination by approximating the potential surface"