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Mathematics
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Mathematical Modeling in Cell Biology and Its Applications
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Mathematical Modeling in Cell Biology and Its Applications

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Mathematical Biology".

Deadline for manuscript submissions: closed (1 February 2024) | Viewed by 2218

Special Issue Editor

Dr. Yaroslav Nartsissov

E-Mail Website
Guest Editor
1. Department of Mathematical Modeling and Statistical Analysis, Institute of Cytochemistry and Molecular Pharmacology, Moscow 115404, Russia
2. Biomedical Research Group, BiDiPharma GmbH, Bültbek 5, 22962 Siek, Germany
Interests: mathematical modeling; PDE; convectional reaction-diffusion; kinetical modeling; metabolic control analysis; neurochemistry; cell bioenergetics; multiscale modeling; neurophysiological models; hemodynamic models; multi-physical models

Special Issue Information

Dear Colleagues,

The application of mathematical methods is a large area that has stimulated research and development over the centuries. It was especially fruitful in the areas of biology and medicine. Various mathematical approaches from molecular dynamics to population ecological patterns have been successfully applied to the description of living systems. Nonetheless, many aspects of biological mechanisms continue to be studied extensively. It is essential that mathematical modeling sometimes reveals the fundamental law of nature before an empirical experiment is conducted. This is why models should be at the center of greater attention. The special point of interest is to consider a multi-physical model that unites various cellular processes to discover the regulation and properties of cells.

In this Special Issue, we encourage submissions providing new results in the setting of mathematical modeling in cell biology and their applications. All areas of cellular processes are welcome to be described in terms of mathematical models. The list of most topics includes but is not limited to the next keywords (see below).

Dr. Yaroslav Nartsissov
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • Control coefficients,

  • Metabolic Control Analysis,

  • Systems Biology, Genomics,

  • Pharmacokinetic principles,

  • Systems biology and PBPK,

  • Time-dependent control analysis.

Published Papers (2 papers)

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Research

19 pages, 2840 KiB  
Article
Mathematical Model to Predict Polyclonal T-Cell-Dependent Antibody Synthesis Responses
by Jagdish S. Thakur, Archana Thakur and Lawrence G. Lum
Mathematics 2023, 11(18), 4017; https://doi.org/10.3390/math11184017 - 21 Sep 2023
Viewed by 1013
Abstract
Mathematical models are becoming indispensable tools to explore the complexities of biological systems at cellular levels. We present a model to explore the baseline immune cell interactions for in vitro polyclonal antibody synthesis via B-cells regulated by helper and regulatory T-cells. The model [...] Read more.
Mathematical models are becoming indispensable tools to explore the complexities of biological systems at cellular levels. We present a model to explore the baseline immune cell interactions for in vitro polyclonal antibody synthesis via B-cells regulated by helper and regulatory T-cells. The model incorporates interactions of antigen-presenting cells, T-cells, regulatory T-cells, and B-cells with each other and predicts time-dependent trajectories of these cells and antibody synthesis stimulated by pokeweed mitogen. We used an ordinary differential equation-based approach to simulate the dynamic changes in the cells and cytokines numbers due to the cellular and humoral response to pokeweed mitogen stimulation. The parameters of the ordinary differential equations model are determined to yield a normal immune response as observed in the pokeweed mitogen-stimulated in vitro antibody synthesis via normal T, B, and antigen-presenting cells. The dose effects of antigen load and basal values of regulatory T-cells on the profiles of various immune response variables are also evaluated. Full article
(This article belongs to the Special Issue Mathematical Modeling in Cell Biology and Its Applications)
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11 pages, 295 KiB  
Article
Summation Laws in Control of Biochemical Systems
by Hans V. Westerhoff
Mathematics 2023, 11(11), 2473; https://doi.org/10.3390/math11112473 - 27 May 2023
Cited by 1 | Viewed by 949
Abstract
Dynamic variables in the non-equilibrium systems of life are determined by catalytic activities. These relate to the expression of the genome. The extent to which such a variable depends on the catalytic activity defined by a gene has become more and more important [...] Read more.
Dynamic variables in the non-equilibrium systems of life are determined by catalytic activities. These relate to the expression of the genome. The extent to which such a variable depends on the catalytic activity defined by a gene has become more and more important in view of the possibilities to modulate gene expression or intervene with enzyme function through the use of medicinal drugs. With all the complexity of cellular systems biology, there are still some very simple principles that guide the control of variables such as fluxes, concentrations, and half-times. Using time-unit invariance we here derive a multitude of laws governing the sums of the control coefficients that quantify the control of multiple variables by all the catalytic activities. We show that the sum of the control coefficients of any dynamic variable over all catalytic activities is determined by the control of the same property by time. When the variable is at a maximum, minimum or steady, this limits the sums to simple integers, such as 0, −1, 1, and −2, depending on the variable under consideration. Some of the implications for biological control are discussed as is the dependence of these results on the precise definition of control. Full article
(This article belongs to the Special Issue Mathematical Modeling in Cell Biology and Its Applications)
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