In Vitro “Wound” Healing: Experimentally Based Phenomenological Modeling

Vermolen, F.J.; Gefen, Amit; Dunlop, John W. C.

doi:10.1002/adem.201180080

Cited by 7 publications

(8 citation statements)

References 26 publications

(37 reference statements)

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“…Deeper wounds, with less area in contact with the surrounding environment with respect to its depth, contract less than wider wounds, similar to semicircular wounds. Although there are no other studies on the wound contraction process in deep wounds our results qualitatively agree with experimental works [34, 35] and computational [12, 13] results for the contraction curves of planar wounds. The major difference in these curves is that the contraction is faster in deep wounds.…”

Section: Discussionsupporting

confidence: 91%

Nonlinear finite element simulations of injuries with free boundaries: Application to surgical wounds

Valero

Javierre

García-Aznar

et al. 2014

Numer Methods Biomed Eng

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Wound healing is a process driven by biochemical and mechanical variables in which a new tissue is synthesised to recover original tissue functionality. Wound morphology plays a crucial role in this process, as the skin behaviour is not uniform along different directions. In this work, we simulate the contraction of surgical wounds, which can be characterised as elongated and deep wounds. Because of the regularity of this morphology, we approximate the evolution of the wound through its cross section, adopting a plane strain hypothesis. This simplification reduces the complexity of the computational problem; while allows for a thorough analysis of the role of wound depth in the healing process, an aspect of medical and computational relevance that has not yet been addressed. To reproduce wound contraction, we consider the role of fibroblasts, myofibroblasts, collagen and a generic growth factor. The contraction phenomenon is driven by cell-generated forces. We postulate that these forces are adjusted to the mechanical environment of the tissue where cells are embedded through a mechanosensing and mechanotransduction mechanism. To solve the nonlinear problem, we use the finite element method (FEM) and an updated Lagrangian approach to represent the change in the geometry. To elucidate the role of wound depth and width on the contraction pattern and evolution of the involved species, we analyse different wound geometries with the same wound area. We find that deeper wounds contract less and reach a maximum contraction rate earlier than superficial wounds.

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Section: Discussionsupporting

confidence: 91%

Nonlinear finite element simulations of injuries with free boundaries: Application to surgical wounds

Valero

Javierre

García-Aznar

et al. 2014

Numer Methods Biomed Eng

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“…In the electronic supplementary material section, plastic effects [80], softening and damage [81], recent coupled thermomechanical [82] as well as mechanobiological models for growth [64] will be presented. Other types of constitutive laws such as chemo-mechanobiological models of wound healing [12,[83][84][85] are beyond the scope of the present review.…”

Section: Constitutive Models Of the Skinmentioning

confidence: 99%

Mathematical and computational modelling of skin biophysics: a review

Limbert

2017

Proc. R. Soc. A.

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The objective of this paper is to provide a review on some aspects of the mathematical and computational modelling of skin biophysics, with special focus on constitutive theories based on nonlinear continuum mechanics from elasticity, through anelasticity, including growth, to thermoelasticity. Microstructural and phenomenological approaches combining imaging techniques are also discussed. Finally, recent research applications on skin wrinkles will be presented to highlight the potential of physics-based modelling of skin in tackling global challenges such as ageing of the population and the associated skin degradation, diseases and traumas.

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“…A deeper comprehension of the key factors directing angiogenesis is fundamental for many clinical applications, since vessel tortuosity is know to strongly affect the anti-tumor treatment response 66 67 . Finally, even though we focus exclusively on tumour-induced angiogenesis, the proposed model can be useful to model other biological processes, such as wound healing 68 and tissue optimization in engineering scaffolds 69 .…”

Section: Discussionmentioning

confidence: 99%

Tumour angiogenesis as a chemo-mechanical surface instability

Giverso

Ciarletta

2016

Sci Rep

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The hypoxic conditions within avascular solid tumours may trigger the secretion of chemical factors, which diffuse to the nearby vasculature and promote the formation of new vessels eventually joining the tumour. Mathematical models of this process, known as tumour angiogenesis, have mainly investigated the formation of the new capillary networks using reaction-diffusion equations. Since angiogenesis involves the growth dynamics of the endothelial cells sprouting, we propose in this work an alternative mechanistic approach, developing a surface growth model for studying capillary formation and network dynamics. The model takes into account the proliferation of endothelial cells on the pre-existing capillary surface, coupled with the bulk diffusion of the vascular endothelial growth factor (VEGF). The thermo-dynamical consistency is imposed by means of interfacial and bulk balance laws. Finite element simulations show that both the morphology and the dynamics of the sprouting vessels are controlled by the bulk diffusion of VEGF and the chemo-mechanical and geometric properties at the capillary interface. Similarly to dendritic growth processes, we suggest that the emergence of tree-like vessel structures during tumour angiogenesis may result from the free boundary instability driven by competition between chemical and mechanical phenomena occurring at different length-scales.

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In Vitro “Wound” Healing: Experimentally Based Phenomenological Modeling

Cited by 7 publications

References 26 publications

Nonlinear finite element simulations of injuries with free boundaries: Application to surgical wounds

Nonlinear finite element simulations of injuries with free boundaries: Application to surgical wounds

Mathematical and computational modelling of skin biophysics: a review

Tumour angiogenesis as a chemo-mechanical surface instability

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