Semi-stochastic cell-level computational modelling of cellular forces: application to contractures in burns and cyclic loading

Vermolen, F.J.; Gefen, Amit

doi:10.1007/s10237-015-0664-2

Cited by 20 publications

(26 citation statements)

References 15 publications

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“…In our modelling the boundary of the domain coincided with the wound boundary and herewith the important process of contraction in burns could be modelled. The interested reader is able to read [53] to get to know more about the integration of the finite-element method into the cell-based modelling.…”

Section: Finite-element Approach For Mechanical Balancementioning

confidence: 99%

“…The mechanical forces exerted by the cells have to be monitored on the boundaries of the wound and therefore, finite-element simulations have been used. The details are presented in [53].…”

Section: Wound Contractionmentioning

confidence: 99%

“…The tumor cells are Fig. 6 The wound area versus time for several differentiation rates from fibroblasts to myofibroblasts, see also in [53] allowed to divide at a high proliferation rate. The details are given in [52].…”

Section: Initiation Of Cancermentioning

confidence: 99%

“…The approach allows for inclusion of chemotaxis as well as mechanical cell-structure interactions. Comparative remarks have been given in [53]. The model is applied to plant physiology but also extended to modelling angiogenesis.…”

Section: Relation To Other Studies In Literaturementioning

confidence: 99%

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Particle methods to solve modelling problems in wound healing and tumor growth

Vermolen

2015

Comp. Part. Mech.

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The paper deals with a compilation of several of our modelling studies on particle methods used for simulation of wound healing and tumor growth processes. The paper serves as an introduction of our modelling approaches to researchers with interest in biological cell-based models that use particle-based modelling approaches. The particles that we consider in the present models mimic either cells or points on cell boundaries that are allowed to migrate as a result of several chemical and mechanical factors. A distinct feature of our modelling frameworks with respect to conventional particle models, is that cells, mimicked by particles, are allowed to divide, differentiate and to die as a result of apoptosis or any causes for cell death. The paper is merely descriptive, rather than written in full mathematical rigor, and will show some of the potentials of the applied modelling.

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Section: Finite-element Approach For Mechanical Balancementioning

confidence: 99%

“…The mechanical forces exerted by the cells have to be monitored on the boundaries of the wound and therefore, finite-element simulations have been used. The details are presented in [53].…”

Section: Wound Contractionmentioning

confidence: 99%

Section: Initiation Of Cancermentioning

confidence: 99%

Section: Relation To Other Studies In Literaturementioning

confidence: 99%

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Particle methods to solve modelling problems in wound healing and tumor growth

Vermolen

2015

Comp. Part. Mech.

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“…Vermolen & Gefen [57] and Boon et al [58] have further extended the cell-based models to the simulation of wound contractures that occur in deep burns. The models were modified by combining mechanical balances with the cellbased models.…”

Section: Cell-based Modelsmentioning

confidence: 99%

Review on experiment-based two- and three-dimensional models for wound healing

2016

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Traumatic and chronic wounds are a considerable medical challenge that affects many populations and their treatment is a monetary and timeconsuming burden in an ageing society to the medical systems. Because wounds are very common and their treatment is so costly, approaches to reveal the responses of a specific wound type to different medical procedures and treatments could accelerate healing and reduce patient suffering. The effects of treatments can be forecast using mathematical modelling that has the predictive power to quantify the effects of induced changes to the wound-healing process. Wound healing involves a diverse and complex combination of biophysical and biomechanical processes. We review a wide variety of contemporary approaches of mathematical modelling of gap closure and wound-healing-related processes, such as angiogenesis. We provide examples of the understanding and insights that may be garnered using those models, and how those relate to experimental evidence. Mathematical modellingbased simulations can provide an important visualization tool that can be used for illustrational purposes for physicians, patients and researchers.

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Point Forces and Their Alternatives in Cell-Based Models for Skin Contraction

Peng

Vermolen

2020

Lecture Notes in Computational Science and Engineering

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During wound healing, contractions occur due to the pulling forces released by (myo)fibroblasts. We consider a cell-based approach in which the balance of momentum is used to predict the cellular impact on the mechanics of the tissue. To this extent, the elasticity equation and Dirac Delta distributions are combined. However, Dirac Delta distributions cause a singular solution. Hence, alternative approaches are developed and a Gaussian distribution is often used as a smoothed approach. Based on the application that the pulling force is pointing inward the cell, the smoothed particle approach is probed as well. In one dimension, it turns out that the aforementioned three approaches are consistent. In fact, we are aware that the similar transformation exists in three dimensional electric dipole moment. For two dimensions, the ratio of the force magnitude is only worked out in special case, but for the general case, the numerical results show consistency between the direct approach and the smoothed particle approach.

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Semi-stochastic cell-level computational modelling of cellular forces: application to contractures in burns and cyclic loading

Cited by 20 publications

References 15 publications

Particle methods to solve modelling problems in wound healing and tumor growth

Particle methods to solve modelling problems in wound healing and tumor growth

Review on experiment-based two- and three-dimensional models for wound healing

Point Forces and Their Alternatives in Cell-Based Models for Skin Contraction

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