The Role of the Hes1 Crosstalk Hub in Notch-Wnt Interactions of the Intestinal Crypt
Sophie K. Kay, Heather A. Harrington, Sarah Shepherd, Keith Brennan,, Trevor Dale, James M. Osborne, David J. Gavaghan, Helen M. Byrne

TL;DR
This study introduces a mathematical model of Notch and Wnt pathways focusing on Hes1 as a crosstalk hub, revealing how Wnt influences cell fate decisions in intestinal tissue through pathway stability and dynamics.
Contribution
The paper presents a novel mathematical model integrating Notch and Wnt pathways with Hes1 as a central crosstalk hub, using CRNT to analyze pathway stability and dynamics.
Findings
Wnt stabilizes Notch pathway and reduces oscillations.
Wnt-mediated Hes1 transcription promotes bistability.
Model predicts effects of biochemical knockouts on cell fate.
Abstract
The Notch pathway plays a vital role in determining whether cells in the intestinal epithelium adopt a secretory or an absorptive phenotype. Cell fate specification is coordinated via Notch's interaction with the canonical Wnt pathway. Here, we propose a new mathematical model of the Notch and Wnt pathways, in which the Hes1 promoter acts as a hub for pathway crosstalk. Computational simulations of the model can assist in understanding how healthy intestinal tissue is maintained, and predict the likely consequences of biochemical knockouts upon cell fate selection processes. Chemical reaction network theory (CRNT) is a powerful, generalised framework which assesses the capacity of our model for monostability or multistability, by analysing properties of the underlying network structure without recourse to specific parameter values or functional forms for reaction rates. CRNT highlights…
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