Abstract

Intestinal crypts are responsible for the total cell renewal of the lining of the intestines; this turnover is governed by the interplay between signalling pathways and the cell cycle. The role of Wnt signalling in cell proliferation and differentiation in the intestinal crypt has been extensively studied, with increased signalling found towards the lower regions of the crypt. Recent studies have shown that the Wnt signalling gradient found within the crypt may arise as a result of division-based spreading from a Wnt ‘reservoir’ at the crypt base. The discovery of the Hippo pathway’s involvement in maintaining crypt homeostasis is more recent; a mechanistic understanding of Hippo pathway dynamics, and its possible cross-talk with the Wnt pathway, remains lacking. To explore how the interplay between these pathways may control crypt homeostasis, we extended an ordinary differential equation model of the Wnt signalling pathway to include a phenomenological description of Hippo signalling in single cells, and then coupled it to a cell-based description of cell movement, proliferation and contact inhibition in agent-based simulations. Furthermore, we compared an imposed Wnt gradient with a division-based Wnt gradient model. Our results suggest that Hippo signalling affects the Wnt pathway by reducing the presence of free cytoplasmic β-catenin, causing cell cycle arrest. We also show that a division-based spreading of Wnt can form a Wnt gradient, resulting in proliferative dynamics comparable to imposed-gradient models. Finally, a simulated APC double mutant, with misregulated Wnt and Hippo signalling activity, is predicted to cause monoclonal conversion of the crypt.

Highlights

  • Colorectal cancer is the third most common malignant cancer, and the fourth leading cause of cancer death worldwide, accounting for roughly 1.4 million new cases and approximately 700,000 deaths in 2012 [1]

  • We developed an ordinary differential equation (ODE)-based kinetic model to capture the combined effects of Wnt/b-catenin and Hippo signalling on intracellular dynamics

  • To investigate the effect of Hippo signalling on cell-cycle duration and fix the parameters of the Wnt/Hippo model that are not present in the original model, we explored their effect on the system dynamics by varying the Yes-associated protein (YAP)-P/b-catenin complex binding rate and dissociation constant (KH); these parameters govern the effectiveness of the inhibition of nuclear b-catenin localisation and, contact inhibition (CI)

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Summary

Introduction

Colorectal cancer is the third most common malignant cancer, and the fourth leading cause of cancer death worldwide, accounting for roughly 1.4 million new cases and approximately 700,000 deaths in 2012 [1]. The overall mortality rate for colorectal cancer has been declining by roughly 2% per year between 1997 and 2007 in the EU, from 19.7 to 17.4/100,000 men and from 12.5 to 10.5/100,000 women [2] — mainly due to improved early diagnosis and/or an improved lifestyle — colorectal cancer still affects a significant number of people worldwide. Of particular significance are the Wingless/Int (Wnt) and Hippo signalling pathways

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