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This paper focuses on and analyzes realistic SIR models that take stochasticity into account. The proposed systems are applicable to most incidence rates that are used in the literature including the bilinear incidence rate, the…

概率论 · 数学 2024-07-10 Nguyen Du , Alexandru Hening , Nhu Nguyen , George Yin

Intra-tumour heterogeneity (ITH) has a strong impact on the efficacy of the immune response against solid tumours. The number of sub-populations of cancer cells expressing different antigens and the percentage of immunogenic cells (i.e.…

细胞行为 · 定量生物学 2021-12-08 Emma Leschiera , Tommaso Lorenzi , Shensi Shen , Luis Almeida , Chloe Audebert

The US and Hungarian statistical records of the years 1900 and 1896, respectively, before the dramatic medical advances, show 32% and 27% deaths attributable to infections, whereas only 5% and 2% due to cancer. These data can be interpreted…

Cell-cell adhesion is widely hypothesised to maintain cohesion within the long streams of follower cells that trail leader subpopulations during collective migration, including in neural crest cell migration, angiogenesis, and cancer cell…

细胞行为 · 定量生物学 2026-04-17 Thomas Jun Jewell , Samuel W. S. Johnson , Ruth E. Baker , Philip K. Maini

We consider the basic model of virus dynamics in the modeling of Human Immunodeficiency Virus (HIV), in a 2D heterogenous environment. It consists of two ODEs for the non-infected and infected $CD_4^+$ $T$ lymphocytes, $T$ and $I$, and a…

动力系统 · 数学 2009-05-14 Claude-Michel Brauner , Danaelle Jolly , Luca Lorenzi , Rodolphe Thiebaut

Liver transplant can be a life-saving procedure for patients with end-stage liver disease. With the introduction of modern immunosuppressive therapies, short-term survival has significantly improved. However, long-term survival has not…

定量方法 · 定量生物学 2024-11-28 Julia Bruner , Kyle Adams , Skylar Grey , Mahya Aghaee , Sergio Duarte , Ali Zarrinpar , Helen Moore

The spread of sexually transmitted diseases (e.g. Chlamydia, Syphilis, Gonorrhea, HIV) across populations is a major concern for scientists and health agencies. In this context, both data collection on sexual contact networks and the…

物理与社会 · 物理学 2009-11-13 J. Gomez-Gardenes , V. Latora , Y. Moreno , E. V. Profumo

As cell proliferation is limited due to the loss of telomere repeats in DNA of normal somatic cells during division, telomere attrition can possibly play an important role in determining the maximum life span of organisms as well as…

种群与进化 · 定量生物学 2009-11-11 Michael Masa , Stanislaw Cebrat , Dietrich Stauffer

HIV is known for causing the destruction of the immune system by affecting different types of cells, while SARS-CoV-2 is an extremely contagious virus that leads to the development of COVID-19. In this study, we propose a mathematical model…

种群与进化 · 定量生物学 2024-11-05 João P. S. Maurício de Carvalho

How multicellular life forms evolved out from unicellular ones constitutes a major problem in our understanding of the evolution of our biosphere. A recent set of experiments involving yeast cell populations has shown that selection for…

种群与进化 · 定量生物学 2015-11-10 Salva Duran-Nebreda , Ricard V. Solé

We present an individual-based model for the coevolutionary dynamics between CD8+ cytotoxic T lymphocytes (CTLs) and tumour cells. In this model, every cell is viewed as an individual agent whose phenotypic state is modelled by a discrete…

动力系统 · 数学 2022-11-23 Luís Almeida , Chloe Audebert , Emma Leschiera , Tommaso Lorenzi

We characterize the mass-dependent evolution in a large sample of more than 8,000 galaxies using spectroscopic redshifts drawn from the DEEP2 Galaxy Redshift Survey in the range 0.4 < z < 1.4 and stellar masses calculated from K-band…

Background. Several studies have used phylogenetics to investigate Human Immunodeficiency Virus (HIV) transmission among Men who have Sex with Men (MSMs) in Montreal, Quebec, Canada, revealing many transmission clusters. The Quebec HIV…

Like many chronic diseases, human immunodeficiency virus (HIV) is managed over time at regular clinic visits. At each visit, patient features are assessed, treatments are prescribed, and a subsequent visit is scheduled. There is a need for…

统计方法学 · 统计学 2024-10-31 Arman Oganisian , Joseph Hogan , Edwin Sang , Allison DeLong , Ben Mosong , Hamish Fraser , Ann Mwangi

Our chances to halt epidemic outbreaks rely on how accurately we represent the population structure underlying the disease spread. When analyzing global epidemics this force us to consider metapopulation models taking into account intra-…

种群与进化 · 定量生物学 2007-12-10 Alexei Vazquez

Most cancers in humans are large, measuring centimeters in diameter, composed of many billions of cells. An equivalent mass of normal cells would be highly heterogeneous as a result of the mutations that occur during each cell division.…

种群与进化 · 定量生物学 2016-02-17 Bartlomiej Waclaw , Ivana Bozic , Meredith E. Pittman , Ralph H. Hruban , Bert Vogelstein , Martin A. Nowak

Errors of approximations of the quasi-stationary distribution (the QSD) of the logistic SIS model are evaluated numerically. The results are used to derive asymptotic approximations of the approximation errors for large populations. We show…

概率论 · 数学 2022-01-27 Ingemar Nåsell

In the human immune system, T-helper cells are able to differentiate into two lymphocyte subsets: Th1 and Th2. The intracellular signaling pathways of differentiation form a dynamic regulation network by secreting distinctive types of…

细胞行为 · 定量生物学 2013-04-24 Qixin Wang , Menghui Li , Li Charlie Xia , Ge Wen , Hualong Zu , Mingyi Gao

Broadly neutralizing antibodies are promising candidates for treatment and prevention of HIV-1 infections. Such antibodies can temporarily suppress viral load in infected individuals; however, the virus often rebounds by escape mutants that…

种群与进化 · 定量生物学 2022-10-12 Matthijs Meijers , Kanika Vanshylla , Henning Gruell , Florian Klein , Michael Laessig

Among various possible causes of autoimmune disease, an important role is played by infections that can result in a breakdown of immune tolerance, primarily through the mechanism of "molecular mimicry". In this paper we propose and analyse…

组织与器官 · 定量生物学 2018-05-21 F. Fatehi , S. N. Kyrychko , A. Ross , Y. N. Kyrychko , K. B. Blyuss