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Related papers: Physics of Wound Healing I: Energy Considerations

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This study presents a mathematical model formulated as a system of first-order non-linear ordinary differential equations, aimed at examining the effects of different factors, classified as local and systemic factors on a wound healing…

Other Quantitative Biology · Quantitative Biology 2025-09-16 Alinafe Maenje , Joseph Malinzi

Wound healing is an intricate process that involves many types of cells, reaction pathways as well as chemical, physical and electrical cues. Since biochemical reactions and physiological events are pH-dependent we study here pH as an…

Medical Physics · Physics 2016-01-26 T. Sirkka , J. B. Skiba , S. P. Apell

Bone healing process includes four phases: inflammatory response, soft callus formation, hard callus development, and remodeling. Mechanobiological models have been used to investigate the role of various mechanical and biological factors…

Tissues and Organs · Quantitative Biology 2018-08-15 Mohammad S. Ghiasi , Jason E. Chen , Edward K. Rodriguez , Ashkan Vaziri , Ara Nazarian

Wound assessment is a critical aspect of wound treatment, as the healing progress of a wound determines the optimal approach to care. However, the heterogeneity of burn wounds often complicates wound assessment, causing inaccurate wound…

Cell Behavior · Quantitative Biology 2022-08-31 Erin Kim

Hospitalization of patients is one of the major factors for high wound care costs. Most patients do not acquire a wound which needs immediate hospitalization. However, due to factors such as delay in treatment, patient's non-compliance or…

Computer Vision and Pattern Recognition · Computer Science 2026-02-11 Subba Reddy Oota , Vijay Rowtula , Shahid Mohammed , Jeffrey Galitz , Minghsun Liu , Manish Gupta

Wounds in epithelial tissues compromise their vital role in homeostasis. A rapid and efficient wound healing encompasses different mechanisms, which includes the formation of a contractile actin-myosin cable around its edge, known as the…

Soft Condensed Matter · Physics 2024-03-22 R. F. Almada , N. A. M. Araujo , P. Patricio

When they are damaged or injured, soft biological tissues are able to self-repair and heal. Mechanics is critical during the healing process, as the damaged extracellular matrix (ECM) tends to be replaced with a new undamaged ECM supporting…

Computational Engineering, Finance, and Science · Computer Science 2021-12-08 Di Zuo , Yiqian He , Stéphane Avril , Haitian Yang , Klaus Hackl

In this paper, we propose a new workflow to analyze macrophage motion during wound healing. These immune cells are attracted to the wound after an injury and they move showing both directional and random motion. Thus, first, we smooth the…

Numerical Analysis · Mathematics 2025-03-14 Giulia Lupi , Seol Ah Park , Martin Ambroz , Resul Ozbilgic , Mai Nguyen Chi , Georges Lutfalla , Karol Mikula

To deal with permanent deformations and residual stresses, we consider a morphoelastic model for the scar formation as the result of wound healing after a skin trauma. Next to the mechanical components such as strain and displacements, the…

Numerical Analysis · Mathematics 2022-03-17 Ginger Egberts , Fred Vermolen , Paul van Zuijlen

Chronic wounds represent a major public health problem affecting 6.5 million people in the United States. Ischemia represents a serious complicating factor in wound healing. In this paper we analyze a recently developed mathematical model…

Analysis of PDEs · Mathematics 2010-06-11 Avner Friedman , Bei Hu , Chuan Xue

Wound healing assays are commonly used to study how populations of cells, initialised on a two-dimensional surface, act to close an artificial wound space. While real wounds have different shapes, standard wound healing assays often deal…

Cell Behavior · Quantitative Biology 2018-05-18 Wang Jin , Kai-Yin Lo , Shih-En Chou , Scott W McCue , Matthew J Simpson

We present a discrete stochastic model which represents many of the salient features of the biological process of wound healing. The model describes fronts of cells invading a wound. We have numerical results in one and two dimensions. In…

Cell Behavior · Quantitative Biology 2009-11-11 Thomas Callaghan , Evgeniy Khain , Leonard M. Sander , Robert M. Ziff

Several studies suggest that one possible cause of impaired wound healing is failed or insufficient lymphangiogenesis, that is the formation of new lymphatic capillaries. Although many mathematical models have been developed to describe the…

Tissues and Organs · Quantitative Biology 2015-01-05 Arianna Bianchi , Kevin J. Painter , Jonathan A. Sherratt

A holistic simulation framework is established on magnetic hyperthermia modeling to solve the treatment process of tumor, which is surrounded by a healthy tissue block. The interstitial tissue fluid, MNP distribution, temperature profile,…

In this article we shall trace the historical development of tumour growth laws, which in a quantitative fashion describe the increase in tumour mass/volume over time. These models are usually formulated in terms of differential equations…

Tissues and Organs · Quantitative Biology 2013-02-11 P. Gerlee

We consider a one-dimensional morphoelastic model describing post-burn scar contraction. This model describes the displacement of the dermal layer of the skin and the development of the effective Eulerian strain in the tissue. Besides these…

Numerical Analysis · Mathematics 2022-03-17 Ginger Egberts , Fred Vermolen , Paul van Zuijlen

Design of nuclear materials with high radiation-tolerance has great significance1, especially for the next generation of nuclear energy systems2,3. Response of nano- and poly-crystals to irradiation depends on the radiation temperature,…

Directed cell motion in response to an external chemical gradient occurs in many biological phenomena such as wound healing, angiogenesis, and cancer metastasis. Chemotaxis is often characterized by the accuracy, persistence, and speed of…

Cell Behavior · Quantitative Biology 2019-06-19 Julien Varennes , Hye-ran Moon , Soutick Saha , Andrew Mugler , Bumsoo Han

We present a stochastic model which describes fronts of cells invading a wound. In the model cells can move, proliferate, and experience cell-cell adhesion. We find several qualitatively different regimes of front motion and analyze the…

Cell Behavior · Quantitative Biology 2009-11-13 Evgeniy Khain , Leonard M. Sander , Casey M. Schneider-Mizell

Identifying, tracking, and predicting wound heal-stage progression is a fundamental task towards proper diagnosis, effective treatment, facilitating healing, and reducing pain. Traditionally, a medical expert might observe a wound to…

Computer Vision and Pattern Recognition · Computer Science 2022-06-24 Héctor Carrión , Mohammad Jafari , Hsin-Ya Yang , Roslyn Rivkah Isseroff , Marco Rolandi , Marcella Gomez , Narges Norouzi
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