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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 hematopoietic system has a highly regulated and complex structure in which cells are organized to successfully create and maintain new blood cells. Feedback regulation is crucial to tightly control this system, but the specific…

This paper is devoted to the analysis of a mathematical model of blood cells production in the bone marrow (hematopoiesis). The model is a system of two age-structured partial differential equations. Integrating these equations over the…

Analysis of PDEs · Mathematics 2009-04-17 Mostafa Adimy , Fabien Crauste , Shigui Ruan

Many events in the vertebrate immune system are influenced by some element of chance. The objective of the present work is to describe affinity maturation of B lymphocytes (in which random events are perhaps the most characteristic), and to…

Molecular Networks · Quantitative Biology 2015-05-05 Tamás Szabados , Gábor Tusnády , László Varga , Tibor Bakács

Feedback loops are essential for regulating cell proliferation and maintaining the delicate balance between cell division and cell death. Thanks to the exact solution of a few simple models of cell growth it is by now clear that stochastic…

Populations and Evolution · Quantitative Biology 2023-03-07 Antonio Francesco Zirattu , Marta Biondo , Matteo Osella , Michele Caselle

Lymphocyte selection is a fundamental operation of adaptive immunity. In order to produce B-lymphocytes with a desired antigenic profile, a process of mutation-selection occurs in the germinal center, which is part of the lymph nodes. We…

Analysis of PDEs · Mathematics 2015-01-28 Vuk Milisic , Gilles Wainrib

A new detailed mathematical model for dynamics of immune response to hepatitis B is proposed, which takes into account contributions from innate and adaptive immune responses, as well as cytokines. Stability analysis of different steady…

Populations and Evolution · Quantitative Biology 2018-05-16 F. Fatehi Chenar , Y. N. Kyrychko , K. B. Blyuss

Statistical and mathematical modeling are crucial to describe, interpret, compare and predict the behavior of complex biological systems including the organization of hematopoietic stem and progenitor cells in the bone marrow environment.…

Quantitative Methods · Quantitative Biology 2018-09-07 Walter de Back , Thomas Zerjatke , Ingo Roeder

We are interested in modeling theoretical immunology within a statistical mechanics flavor: focusing on the antigen-independent maturation process of B-cells, in this paper we try to revise the problem of self vs non-self discrimination by…

Cell Behavior · Quantitative Biology 2010-12-10 Adriano Barra , Silvio Franz , Thiago Sabetta

CAR-T cell therapies have demonstrated significant success in treating B-cell leukemia in children and young adults. However, their effectiveness in treating B-cell lymphomas has been limited. Unlike leukemia, lymphoma often manifests as…

Populations and Evolution · Quantitative Biology 2024-09-04 Soukaina Sabir , Odelaisy León-Triana , Sergio Serrano , Roberto Barrio , Victor M. Pérez-García

Autophagy is a conserved biological stress response in mammalian cells that is responsible for clearing damaged proteins and organelles from the cytoplasm and recycling their contents via the lysosomal pathway. In cases of mild stress,…

Molecular Networks · Quantitative Biology 2015-05-11 I. Tavassoly , J. Parmar , A. N. Shajahan-Haq , R. Clarke , W. T. Baumann , J. J. Tyson

When our immune system encounters foreign antigens (i.e., from pathogens), the B cells that produce our antibodies undergo a cyclic process of proliferation, mutation, and selection, improving their ability to bind to the specific antigen.…

In this paper we use a continuous model to describe the development of a single cell lineage following the committal of stem cells. Three separate controls are implemented in the model, namely the proliferative control of stem cells, the…

Tissues and Organs · Quantitative Biology 2007-05-23 Ivana Drobnjak , A. C. Fowler , Michael C. Mackey

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…

In this work we adopt a statistical mechanics approach to investigate basic, systemic features exhibited by adaptive immune systems. The lymphocyte network made by B-cells and T-cells is modeled by a bipartite spin-glass, where, following…

Cell Behavior · Quantitative Biology 2015-06-04 Elena Agliari , Adriano Barra , Silvia Bartolucci , Andrea Galluzzi , Francesco Guerra , Francesco Moauro

Within the germinal center in follicles, B-cells proliferate, mutate and differentiate, while being submitted to a powerful selection~: a micro-evolutionary mechanism at the heart of adaptive immunity. A new foreign pathogen is confronted…

Probability · Mathematics 2016-02-12 Irene Balelli , Vuk Milisic , Gilles Wainrib

Local stresses in a tissue, a collective property, regulate cell division and apoptosis. In turn, cell growth and division induce active stresses in the tissue. As a consequence, there is a feedback between cell growth and local stresses.…

Soft Condensed Matter · Physics 2024-05-06 Sumit Sinha , Xin Li , Abdul N Malmi-Kakkada , D. Thirumalai

Hematopoietic stem cells in mammals are known to reside mostly in the bone marrow, but also transitively passage in small numbers in the blood. Experimental findings have suggested that they exist in a dynamic equilibrium, continuously…

Populations and Evolution · Quantitative Biology 2017-10-12 Peter Ashcroft , Markus G. Manz , Sebastian Bonhoeffer

Morphogenesis, the establishment and repair of emergent complex anatomy by groups of cells, is a fascinating and biomedically-relevant problem. One of its most fascinating aspects is that a developing embryo can reliably recover from…

Molecular Networks · Quantitative Biology 2022-11-03 Joel Grodstein , Michael Levin

The mechanical properties of vertebrate bone are largely determined by a process which involves the complex interplay of three different cell types. This process is called {\it bone remodeling}, and occurs asynchronously at multiple sites…

Tissues and Organs · Quantitative Biology 2011-11-30 Marc Ryser , Svetlana V. Komarova , Nilima Nigam
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