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Hematopoiesis is a complex biological process that leads to the production and regulation of blood cells. It is based upon differentiation of stem cells under the action of growth factors. A mathematical approach of this process is proposed…

Classical Analysis and ODEs · Mathematics 2009-04-17 Mostafa Adimy , Fabien Crauste , Shigui Ruan

The rate at which individual bacterial cells grow depends on the concentrations of cellular components such as ribosomes and proteins. These concentrations continuously fluctuate over time and are inherited from mother to daughter cells,…

Populations and Evolution · Quantitative Biology 2024-08-21 Yaïr Hein , Farshid Jafarpour

Stem cells are characterized by their ability to self-renew, as well as to differentiate and give rise to new populations of cells. Stem cell divisions are crucial for generative processes that occur during early development, and later in…

Applications · Statistics 2025-08-29 Haim Bar , Huyen Nguyen , Joanne Conover

The production and regulation of red blood cells, erythropoiesis, occurs in the bone marrow where erythroid cells proliferate and differentiate within particular structures, called erythroblastic islands. A typical structure of these…

Quantitative Methods · Quantitative Biology 2011-06-01 Stephan Fischer , Polina Kurbatova , Nikolai Bessonov , Olivier Gandrillon , Vitaly Volpert , Fabien Crauste

All types of blood cells are formed by differentiation from a small self-maintaining population of pluri-potential stem cells in the bone marrow. Despite abundant information on the molecular aspects of division, differentiation, commitment…

Biological Physics · Physics 2007-05-23 Carlos A. Perazzo , Elmer A. Fernandez , Dante R. Chialvo , Peter Willshaw

We theoretically investigate the membrane fluctuations of red blood cells with focus laid on the role of the cytoskeleton, viewing the system as a membrane coupled to sparse spring network. This model is exactly solvable and enables us to…

Soft Condensed Matter · Physics 2015-08-31 Wonjune Choi , Juyeon Yi , Yong Woon Kim

The mean size of exponentially dividing E. coli cells cultured in different nutrient conditions is known to depend on the mean growth rate only. However, the joint fluctuations relating cell size, doubling time and individual growth rate…

Margination, a fundamental process in which leukocytes migrate from the flowing blood to the vessel wall, is well-documented in physiology. However, it is still an open question on how the differences in cell size and stiffness of white and…

Soft Condensed Matter · Physics 2024-09-05 Revaz D. Chachanidze , Othmane Aouane , Jens Harting , Christian Wagner , Marc Leonetti

Single-cell experiments revealed substantial variability in generation times, growth rates but also in birth and division sizes between genetically identical cells. Understanding how these fluctuations determine the fitness of the…

Populations and Evolution · Quantitative Biology 2025-03-24 Arthur Genthon

We present a development of a model of the relationship between cells in three compartments of the intestinal crypt: stem cells, semi-differentiated cells and fully differentiated cells. Stem and semi-differentiated cells may divide to…

Tissues and Organs · Quantitative Biology 2013-09-16 Alberto d'Onofrio , Ian P. M. Tomlinson

Isogenic Escherichia coli growing exponentially in a constant environment display large variation in growth-rates, division-sizes and generation-times. It is unclear how these seemingly random cell cycles can be reconciled with the precise…

Quantitative Methods · Quantitative Biology 2015-10-14 Mats Wallden , David Fange , Özden Baltekin , Johan Elf

We measure different contributions to entropy production in a living functional epithelial tissue. We do this by extracting the functional dynamics of development while at the same time quantifying fluctuations. Using the translucent…

Soft Condensed Matter · Physics 2023-01-25 Mark Olenik , Jake Turley , Stephen Cross , Helen Weavers , Paul Martin , Isaac Chenchiah , Tanniemola Liverpool

Fluctuations of cell state, e.g., abundances of some proteins, have attracted much attention both theoretically and experimentally. The distribution of such state over cells, however, is not only a result of intracellular stochastic…

Biological Physics · Physics 2007-05-23 Katsuhiko Sato , Kunihiko Kaneko

The variability in cell size of an isogenic population of Escherichia coli has been widely reported in experiment. The probability density function (PDF) of cell lengths has been variously described by exponential and lognormal functions.…

Cell Behavior · Quantitative Biology 2019-05-21 Chaitanya A. Athale

Hematopoiesis is the process of blood cell formation, through which progenitor stem cells differentiate into mature forms, such as white and red blood cells or mature platelets. While the precursors of the mature forms share many regulatory…

Stem cells, through their ability to produce daughter stem cells and differentiate into specialized cells, are essential in the growth, maintenance, and repair of biological tissues. Understanding the dynamics of cell populations in the…

Applications · Statistics 2026-02-02 Huyen Nguyen , Haim Bar , Zhiyi Chi , Vladimir Pozdnyakov

We analyze both the static and dynamic fluctuation spectrum of the red-blood cell in a unified manner, using a simple model of the composite membrane. In this model, the two-dimensional spectrin network that forms the cytoskeleton is…

Soft Condensed Matter · Physics 2007-05-23 N. Gov , A. G. Zilman , S. Safran

Populations of mammalian stem cells commonly exhibit considerable cell-cell variability. However, the functional role of this diversity is unclear. Here, we analyze expression fluctuations of the stem cell surface marker Sca1 in mouse…

Cell Behavior · Quantitative Biology 2015-10-20 Sonya J. Ridden , Hannah H. Chang , Konstantinos C. Zygalakis , Ben D. MacArthur

Cells of the human body have nearly identical genome but exhibit very different phenotypes that allow them to carry out specific functions and react to changes in their surrounding environment. This division of labour is achieved by…

Cell Behavior · Quantitative Biology 2021-11-24 Hanan Dreiwi , Flavia Feliciangeli , Mario Castro , Grant Lythe , Carmen Molina-París , Martín López-García

The work is devoted to the analysis of cell population dynamics where cells make a choice between differentiation and apoptosis. This choice is based on the values of intracellular proteins whose concentrations are described by a system of…

Cell Behavior · Quantitative Biology 2016-03-30 Malay Banerjee , Vitaly Volpert
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