Cell migration and proliferation during monolayer formation and wound healing

Tremel, Alexander; Cai, Anna Q.; Tirtaatmadja, Nicolin; Hughes, Barry D.; Stevens, Geoffrey W.; Landman, Kerry A.; O’Connor, Andrea J.

doi:10.1016/j.ces.2008.10.008

Cited by 108 publications

(174 citation statements)

References 23 publications

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“…Alternatively, the mean-field assumption can be invoked implicitly, such as in the case of applying standard ode or pde descriptions of collective cell behaviour without necessarily considering the underlying discrete process (e.g. Maini et al 2004aMaini et al , 2004bSengers et al 2007;Sherratt and Murray 1990;Swanson et al 2003;Tremel et al 2009;Murray 2002). Invoking the mean-field assumption implies that the dynamics of the system is unaffected by spatial structure, such as the formation of patches or clusters of individuals (Bolker and Pacala 1997;Law and Dieckmann 2000;Law et al 2003;Simpson et al 2010a).…”

Section: Introductionmentioning

confidence: 99%

Experimental and Modelling Investigation of Monolayer Development with Clustering

et al. 2013

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Section: Introductionmentioning

confidence: 99%

Experimental and Modelling Investigation of Monolayer Development with Clustering

et al. 2013

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“…Mathematical modelling can offer explanations to problems for which an experimental approach alone is insufficient [21][22][23]. The strategy of using random walks [24] to describe cell movement at the scale of individual cells has been discussed extensively in the literature [25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Spatial moment dynamics for collective cell movement incorporating a neighbour-dependent directional bias

Binny

Plank

James

2015

J. R. Soc. Interface.

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The ability of cells to undergo collective movement plays a fundamental role in tissue repair, development and cancer. Interactions occurring at the level of individual cells may lead to the development of spatial structure which will affect the dynamics of migrating cells at a population level. Models that try to predict population-level behaviour often take a mean-field approach, which assumes that individuals interact with one another in proportion to their average density and ignores the presence of any small-scale spatial structure. In this work, we develop a lattice-free individual-based model (IBM) that uses random walk theory to model the stochastic interactions occurring at the scale of individual migrating cells. We incorporate a mechanism for local directional bias such that an individual's direction of movement is dependent on the degree of cell crowding in its neighbourhood. As an alternative to the mean-field approach, we also employ spatial moment theory to develop a population-level model which accounts for spatial structure and predicts how these individual-level interactions propagate to the scale of the whole population. The IBM is used to derive an equation for dynamics of the second spatial moment (the average density of pairs of cells) which incorporates the neighbour-dependent directional bias, and we solve this numerically for a spatially homogeneous case.

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“…The role of growth factors has been considered in [150][151][152] by means of two nonlinear reaction-diffusion equations that track epithelial cell density and the epidermal growth factor (EGF). Further developments have been considered in [153][154][155][156][157][158] for including the impact of increased mitotic and migratory activity due to an EGF, the effects of cell density-dependent diffusion, the role of key chemicals in determining the quality of healing (see also the review papers [159,160]). …”

Section: Models With Internal Structurementioning

confidence: 99%

Towards a unified approach in the modeling of fibrosis: A review with research perspectives

Amar

Bianca

2016

Physics of Life Reviews

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Pathological fibrosis is the result of a failure in the wound healing process. The comprehension and the related modeling of the different mechanisms that trigger fibrosis is a challenge of many researchers that work in the field of medicine and biology. The modern scientific analysis of a phenomenon generally consists of three major approaches: theoretical, experimental, and computational. Different theoretical tools coming from mathematics and physics have been proposed for the modeling of the physiological and pathological fibrosis. However a complete framework is missing and the development of a general theory is required. This review aims at finding a unified approach in the modeling of fibrosis diseases that takes into account the different phenomena occurring at each level: molecular, cellular and tissue. Specifically by means of a critical analysis of the different models that have been proposed in the mathematical, computational and physical biology, from molecular to tissue scales, a multiscale approach is proposed, an approach that has been strongly recommended by top level biologists in the past decades.

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Cell migration and proliferation during monolayer formation and wound healing

Cited by 108 publications

References 23 publications

Experimental and Modelling Investigation of Monolayer Development with Clustering

Experimental and Modelling Investigation of Monolayer Development with Clustering

Spatial moment dynamics for collective cell movement incorporating a neighbour-dependent directional bias

Towards a unified approach in the modeling of fibrosis: A review with research perspectives

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