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We study pattern formation of skin cancers by means of numerical simulation of a binary system consisting of cancer and healthy cells. We extend the conventional Model H for macrophase separations by considering a logistic growth of cancer…

Soft Condensed Matter · Physics 2019-03-27 Takuma Hoshino , Ming-Wei Liu , Kuo-An Wu , Hsuan-Yi Chen , Tatsuaki Tsuruyama , Shigeyuki Komura

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

The temporal and spatial development of Parkinson's disease has been characterised as the progressive formation of {\alpha}-synuclein aggregations through susceptible neuronal pathways. This article describes a new model for this…

Neurons and Cognition · Quantitative Biology 2017-02-20 Míriam R. García , Mathieu Cloutier , Peter Wellstead

We introduce and analyze a within-host dynamical model of the coevolution between rapidly mutating pathogens and the adaptive immune response. Pathogen mutation and a homeostatic constraint on lymphocytes both play a role in allowing the…

Populations and Evolution · Quantitative Biology 2014-08-06 Kimberly J. Schlesinger , Sean P. Stromberg , Jean M. Carlson

Tissue fibrosis is the phenomenon that a tissue has progressive deposition of collagen fibers with age. Tissue fibrosis is associated with aging of most of our organs, and it is the main pathology in arteriosclerosis, chronic…

Tissues and Organs · Quantitative Biology 2017-09-07 Jicun Wang-Michelitsch , Thomas M. Michelitsch

We introduce an interacting particle system that models the spread of an epidemic in terms of heterogeneous diffusive dynamics, rather than exogenous contact and transmission rates at the population level as in classical compartmental…

Probability · Mathematics 2026-05-20 Eliana Fausti , Andreas Sojmark

Background. Real-world data show that approximately 50% of psoriasis patients treated with a biologic agent will discontinue the drug because of loss of efficacy. History of previous therapy with another biologic, female sex and obesity…

Machine Learning · Statistics 2019-08-27 Sepideh Emam , Amy X. Du , Philip Surmanowicz , Simon F. Thomsen , Russ Greiner , Robert Gniadecki

In modeling the inflammatory response to a lesion in an artery wall, there are a number of chemotactic mechanisms going on within the wall layer that lead to an arterial plaque. We introduce a rather reduced model of these dynamic…

Analysis of PDEs · Mathematics 2015-11-10 Jonathan Bell , Animikh Biswas

The human adaptive immune response is known to weaken in advanced age, resulting in increased severity of pathogen-born illness, poor vaccine efficacy, and a higher prevalence of cancer in the elderly. Age-related erosion of the T-cell…

Populations and Evolution · Quantitative Biology 2019-01-03 Stephanie M. Lewkiewicz , Yao-Li Chuang , Tom Chou

Many illnesses are associated with an alteration of the immune system homeostasis due to any combination of factors, including exogenous bacterial insult, endogenous breakdown (e.g., development of a disease that results in immuno…

Biological Physics · Physics 2009-06-08 D. Sornette , V. I. Yukalov , E. P. Yukalova , J. -Y. Henry , D. Schwab , J. P. Cobb

The adaptive and innate branches of the vertebrate immune system work in close collaboration to protect organisms from harmful pathogens. As an organism ages its immune system undergoes immunosenescence, characterized by declined…

Tissues and Organs · Quantitative Biology 2020-08-28 Eric W. Jones , Jiming Sheng , Jean M. Carlson , Shenshen Wang

The original method of treatment of various pathological processes in human skin covers is described. The method has a brightly expressed differential action: destroying pathologic cells it does not render any influence on healthy cells.…

Biological Physics · Physics 2007-05-23 A. A. Kozlov

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

Wrinkles often emerge on a paint layer when a second coat of paint is applied on an already-coated substrate. Wrinkle formation occurs when the first layer absorbs organic solvent from the second layer. We set up experiments to mimic the…

Soft Condensed Matter · Physics 2017-08-30 Michiko Shimokawa , Hikaru Yoshida , Takumi Komatsu , Kazue Kudo

Current CoVID-19 pandemic is spreading rapidly worldwide, and it may become one of the largest pandemic events in modern history if out of control. It appears most of the SARS-CoV2 virus infection resulted deaths are mainly due to…

Other Quantitative Biology · Quantitative Biology 2020-09-28 Sam-Shajing Sun

The initial reaction of the body to pathogenic microbial infection or severe tissue trauma is an acute inflammatory response. The magnitude of such a response is of critical importance, since an uncontrolled response can cause further…

A recent application of the peptide strings concept has yielded novel perceptions on cell growth regulation, for instance that of oncoprotein metastasis. Here, this interdisciplinary approach at the boundary between physics and biology has…

Subcellular Processes · Quantitative Biology 2008-08-12 Razvan Tudor Radulescu

Incidence of whooping cough, an infection caused by Bordetella pertussis and Bordetella parapertussis, has been on the rise since the 1980s in many countries. Immunological interactions, such as immune boosting and cross-immunity between…

Populations and Evolution · Quantitative Biology 2016-08-30 Tiffany Leung , Barry D. Hughes , Federico Frascoli , James M. McCaw

Atherosclerotic plaques form in artery walls due to a chronic inflammatory response driven by lipid accumulation. A key component of the inflammatory response is the interaction between monocyte-derived macrophages and extracellular lipid.…

Cell Behavior · Quantitative Biology 2022-12-08 Keith L Chambers , Mary R Myerscough , Helen M Byrne

Examining elevated rates of systemic lupus erythematosus in African-American women from perspectives of immune cognition suggests the disease constitutes an internalized physiological image of external structured psychosocial stress, a…

Neurons and Cognition · Quantitative Biology 2007-05-23 Rodrick Wallace