Abstract

In this work, we show how the mechanical properties of the cellular microenvironment modulate the growth of tumour spheroids. Based on the composition of the extracellular matrix, its stiffness and architecture can significantly vary, subsequently influencing cell movement and tumour growth. However, it is still unclear exactly how both of these processes are regulated by the matrix composition. Here, we present a centre-based computational model that describes how collagen density, which modulates the steric hindrance properties of the matrix, governs individual cell migration and, consequently, leads to the formation of multicellular clusters of varying size. The model was calibrated using previously published experimental data, replicating a set of experiments in which cells were seeded in collagen matrices of different collagen densities, hence producing distinct mechanical properties. At an initial stage, we tracked individual cell trajectories and speeds. Subsequently, the formation of multicellular clusters was also analysed by quantifying their size. Overall, the results showed that our model could accurately replicate what was previously seen experimentally. Specifically, we showed that cells seeded in matrices with low collagen density tended to migrate more. Accordingly, cells strayed away from their original cluster and thus promoted the formation of small structures. In contrast, we also showed that high collagen densities hindered cell migration and produced multicellular clusters with increased volume. In conclusion, this model not only establishes a relation between matrix density and individual cell migration but also showcases how migration, or its inhibition, modulates tumour growth.

Highlights

  • The extracellular matrix (ECM) is the non-cellular component present in all tissues, which serves as a physical scaffold that provides support to cells and interacts with them and mediates their biological functions [1, 2]

  • In recent years, more focus has been given to the interplay between the mechanical properties of the cellular microenvironment and the emergent cell behaviour, as more studies have revealed that cells sense and respond to these characteristics [5, 6]

  • We are able to qualitatively describe how an increase in matrix density leads to smaller cell velocity values and how this, in turn, suppresses the invasion of single cells from their original multicellular cluster, producing cell clusters of larger areas

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Summary

Introduction

The extracellular matrix (ECM) is the non-cellular component present in all tissues, which serves as a physical scaffold that provides support to cells and interacts with them and mediates their biological functions [1, 2]. The characteristic mechanical properties of tissues arise from the particular composition of their ECM [3, 4]. Matrix stiffness, which characterizes the matrix’s resistance to deformation in response to applied forces, has been extensively studied as a regulator of biological processes [7,8,9], and cell motility in particular [10,11,12,13]. The majority of these works relate to 2D conditions and may not apply to 3D conditions

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