Multiphase and individual cell-based models of tumour growth

Galle, Joerg; Preziosi, Luigi

doi:10.1090/conm/492/09633

Cited by 3 publications

(3 citation statements)

References 62 publications

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“…The advantage of using nonlinear force laws, such as the Hertz or Jones-Kenall-Roberts (JKR) [15] models [e.g. see 3, 5, 8], is that in these models the parameters are, in principle, experimentally accessible. However, we note that it is thought that once characteristic biological features and mechanisms, such as cell adhesion and repulsion, are satisfactorily represented in a discrete simulation framework, qualitative and many quantitative features of simulation results appear to be independent of the precise model details [8, 9].…”

Section: Discussionmentioning

confidence: 99%

“…see 3, 5, 8], is that in these models the parameters are, in principle, experimentally accessible. However, we note that it is thought that once characteristic biological features and mechanisms, such as cell adhesion and repulsion, are satisfactorily represented in a discrete simulation framework, qualitative and many quantitative features of simulation results appear to be independent of the precise model details [8, 9]. With regard to the assumption of a fixed geometry, we note that healthy crypts can undergo morphological changes, such as crypt fission, over time scales of the order of tens of years [12].…”

Section: Discussionmentioning

confidence: 99%

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Comparing a discrete and continuum model of the intestinal crypt

Murray¹,

Walter²,

Fletcher³

et al. 2011

Phys. Biol.

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The integration of processes at different scales is a key problem in the modelling of cell populations. Owing to increased computational resources and the accumulation of data at the cellular and subcellular scales, the use of discrete, cell-level models, which are typically solved using numerical simulations, has become prominent. One of the merits of this approach is that important biological factors, such as cell heterogeneity and noise, can be easily incorporated. However, it can be difficult to efficiently draw generalisations from the simulation results, as, often, many simulation runs are required to investigate model behaviour in typically large parameter spaces. In some cases, discrete cell-level models can be coarse-grained, yielding continuum models whose analysis can lead to the development of insight into the underlying simulations. In this paper we apply such an approach to the case of a discrete model of cell dynamics in the intestinal crypt. An analysis of the resulting continuum model demonstrates that there is a limited region of parameter space within which steady-state (and hence biologically realistic) solutions exist. Continuum model predictions show good agreement with corresponding results from the underlying simulations and experimental data taken from murine intestinal crypts.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Comparing a discrete and continuum model of the intestinal crypt

Murray¹,

Walter²,

Fletcher³

et al. 2011

Phys. Biol.

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“…Also [151,152,153] looked at the same problem, using individual cell-based models (IBMs). The results obtained using IBMs and multiphase models were then compared in [154,155,156].…”

Section: Multiphase Modelsmentioning

confidence: 99%

Review: Rheological properties of biological materials

Verdier¹,

Etienne²,

Duperray

et al. 2009

Comptes Rendus. Physique

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Eucaryotic cells and biological materials are described from a rheological point of view. Single cell properties give rise to typical microrheological properties which can affect cell behaviour. Single cell properties are also important in the context of multicellular systems, i.e. in biological tissues. Results from experiments are analyzed and models proposed both at the cellular scale and the macroscopic scale.

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