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The progression of a cell population where each individual is characterized by the value of an internal variable varying with time (e.g. size, weight, and protein concentration) is typically modeled by a Population Balance Equation, a first…

细胞行为 · 定量生物学 2016-04-20 Qasim Ali , Ali Elkamel , Frédéric Gruy , Claude Lambert , Eric Touboul

Stochastic rearrangement of germline DNA by VDJ recombination is at the origin of immune system diversity. This process is implemented via a series of stochastic molecular events involving gene choices and random nucleotide insertions…

定量方法 · 定量生物学 2012-11-12 Anand Murugan , Thierry Mora , Aleksandra M. Walczak , Curtis G. Callan

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…

种群与进化 · 定量生物学 2019-01-03 Stephanie M. Lewkiewicz , Yao-Li Chuang , Tom Chou

Modelling, analysing and inferring triggering mechanisms in population reproduction is fundamental in many biological applications. It is also an active and growing research domain in mathematical biology. In this chapter, we review the…

偏微分方程分析 · 数学 2023-01-09 Marie Doumic , Marc Hoffmann

The activity of biological cells is primarily based on chemical reactions and typically modeled as a reaction-diffusion system. Cells are, however, highly crowded with macromolecules, including a variety of molecular machines such as…

生物物理 · 物理学 2018-11-02 Yuichi Togashi

In previous work, we studied host response to a pathogen which uses a cycle of immunologically distinct stages to establish and maintain infection. We showed that for generic parameter values, the system has a unique biologically meaningful…

种群与进化 · 定量生物学 2012-05-28 Michael Shapiro , Edgar Delgado-Eckert

We investigate a special part of the human immune system, namely the activation of T-Cells, using stochastic tools, especially sharp large deviation results. T-Cells have to distinguish reliably between foreign and self peptides which are…

概率论 · 数学 2013-04-16 Hannah Mayer , Anton Bovier

Multicellular systems play a key role in bioprocess and biomedical engineering. Cell ensembles encountered in these setups show phenotypic variability like size and biochemical composition. As this variability may result in undesired…

系统与控制 · 计算机科学 2018-07-16 Armin Küper , Robert Dürr , Steffen Waldherr

Autocatalytic processes underlie diverse systems in which replication is triggered at interfaces, including heterogeneous catalysis on solid substrates, enzyme activity at membranes, viral infections, biofilm growth, and spatially…

化学物理 · 物理学 2026-04-24 Denis S. Grebenkov

We introduce a new model for the dynamics of centroblasts and centrocytes in a germinal center. The model reduces the germinal center reaction to the elements considered as essential and embeds proliferation of centroblasts, point mutations…

生物物理 · 物理学 2009-09-25 Michael Meyer-Hermann , Andreas Deutsch , Michal Or-Guil

During cell migration, cells become polarized, change their shape, and move in response to various internal and external cues. Cell polarization is defined through the spatio-temporal organization of molecules such as PI3K or small GTPases,…

生物物理 · 物理学 2016-07-07 Fabian Spill , Vivi Andasari , Michael Mak , Roger D. Kamm , Muhammad H. Zaman

The coordination of the immune system and its components is essential for the body to maintain a healthy status. Recent clinical studies show that breast cancer patients with high Dendritic cell clustering in tumour draining lymph nodes…

细胞行为 · 定量生物学 2026-04-21 Domenic P. J. Germano , Federico Frascoli , Robyn P. Araujo , Peter P. Lee , Peter S. Kim

Recent advancements in the ability to construct three-dimensional (3D) tissues and organoids from stem cells and biomaterials have not only opened abundant new research avenues in disease modeling and regenerative medicine but also have…

组织与器官 · 定量生物学 2017-07-27 Richard J. McMurtrey

The spatiotemporal coordination and regulation of cell proliferation is fundamental in many aspects of development and tissue maintenance. Cells have the ability to adapt their division rates in response to mechanical constraints, yet we do…

定量方法 · 定量生物学 2024-04-25 Carles Falcó , Daniel J. Cohen , José A. Carrillo , Ruth E. Baker

The clonal expansion of T cells during an infection is tightly regulated to ensure an appropriate immune response against invading pathogens. Although experiments have mapped the trajectory from expansion to contraction, the interplay…

动力系统 · 数学 2021-10-08 Pantea Pooladvand , Peter S. Kim , Barbara Fazekas de St Groth

It has been known for some time that human autoimmune diseases can be triggered by viral infections. Several possible mechanisms of interactions between a virus and immune system have been analysed, with a prevailing opinion being that the…

种群与进化 · 定量生物学 2012-09-21 K. B. Blyuss , L. B. Nicholson

Recent studies have reported that T cells can integrate signals between interrupted encounters with Antigen Presenting Cells (APCs) in such a way that the process of signal integration exhibits a form of memory. Here, we carry out a…

分子网络 · 定量生物学 2007-07-18 Jason W. Locasale

Complete understanding of the mechanisms regulating the proliferation and differentiation that takes place during human immune CD8+ T cell responses is still lacking. Human clinical data is usually limited to blood cell counts, yet the…

Signal transduction and cell function are governed by the spatiotemporal organization of membrane-associated molecules. Despite significant advances in visualizing molecular distributions by 3D light microscopy, cell biologists still have…

The reaction-diffusion models have been extensively applied to explain the mechanism of pattern formations in early embryogenesis based on geometrically confined microtissues consisting of human pluripotent stem cells. Recently, mechanical…

生物物理 · 物理学 2022-11-22 Tiankai Zhao , Hongyan Yuan
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