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Network-based Mathematical Modeling in Cell and Developmental Biology

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Release : 2024-08-22
Genre : Science
Kind : eBook
Book Rating : 46X/5 ( reviews)

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Book Synopsis Network-based Mathematical Modeling in Cell and Developmental Biology by : Susan Mertins

Download or read book Network-based Mathematical Modeling in Cell and Developmental Biology written by Susan Mertins . This book was released on 2024-08-22. Available in PDF, EPUB and Kindle. Book excerpt: The vast amount of knowledge in Cell Signaling gathered through reductionist efforts and omics technology is poised to approach a Systems Biology understanding of precise representations of cell structure and function and predictions at multi-scale levels despite the complexity. Super-resolution microscopy and single cell analysis are also providing opportunities to explore both spatial and temporal landscapes. Notably, many basic biological processes have been studied capturing mechanistic detail with the goal to understand cellular proliferation and differentiation, gene regulation, morphogenesis, metabolism, and cell-cell communication. Similarly, at the intracellular level, addressing functions such as self-assembly, phase separation, and transport is leading to insights not readily understood as linear pathways. Therefore, network-based mathematical modeling, delineating dynamic biochemical reactions through ordinary and partial differential equations, promises to discover emergent biological properties not heretofore expected.

Mathematical Modeling of Biological Systems, Volume I

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Release : 2007-06-15
Genre : Mathematics
Kind : eBook
Book Rating : 586/5 ( reviews)

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Book Synopsis Mathematical Modeling of Biological Systems, Volume I by : Andreas Deutsch

Download or read book Mathematical Modeling of Biological Systems, Volume I written by Andreas Deutsch. This book was released on 2007-06-15. Available in PDF, EPUB and Kindle. Book excerpt: Volume I of this two-volume, interdisciplinary work is a unified presentation of a broad range of state-of-the-art topics in the rapidly growing field of mathematical modeling in the biological sciences. The chapters are thematically organized into the following main areas: cellular biophysics, regulatory networks, developmental biology, biomedical applications, data analysis and model validation. The work will be an excellent reference text for a broad audience of researchers, practitioners, and advanced students in this rapidly growing field at the intersection of applied mathematics, experimental biology and medicine, computational biology, biochemistry, computer science, and physics.

Mathematical Modeling in Systems Biology

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Release : 2022-06-07
Genre : Science
Kind : eBook
Book Rating : 829/5 ( reviews)

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Book Synopsis Mathematical Modeling in Systems Biology by : Brian P. Ingalls

Download or read book Mathematical Modeling in Systems Biology written by Brian P. Ingalls. This book was released on 2022-06-07. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the mathematical concepts and techniques needed for the construction and analysis of models in molecular systems biology. Systems techniques are integral to current research in molecular cell biology, and system-level investigations are often accompanied by mathematical models. These models serve as working hypotheses: they help us to understand and predict the behavior of complex systems. This book offers an introduction to mathematical concepts and techniques needed for the construction and interpretation of models in molecular systems biology. It is accessible to upper-level undergraduate or graduate students in life science or engineering who have some familiarity with calculus, and will be a useful reference for researchers at all levels. The first four chapters cover the basics of mathematical modeling in molecular systems biology. The last four chapters address specific biological domains, treating modeling of metabolic networks, of signal transduction pathways, of gene regulatory networks, and of electrophysiology and neuronal action potentials. Chapters 3–8 end with optional sections that address more specialized modeling topics. Exercises, solvable with pen-and-paper calculations, appear throughout the text to encourage interaction with the mathematical techniques. More involved end-of-chapter problem sets require computational software. Appendixes provide a review of basic concepts of molecular biology, additional mathematical background material, and tutorials for two computational software packages (XPPAUT and MATLAB) that can be used for model simulation and analysis.

Multiscale Modeling of Developmental Systems

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Release : 2007-12-18
Genre : Science
Kind : eBook
Book Rating : 531/5 ( reviews)

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Book Synopsis Multiscale Modeling of Developmental Systems by :

Download or read book Multiscale Modeling of Developmental Systems written by . This book was released on 2007-12-18. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical and computational biology is playing an increasingly important role in the biological sciences. This science brings forward unique challenges, many of which are, at the moment, beyond the theoretical techniques available. Developmental biology, due to its complexity, has lagged somewhat behind its sister disciplines (such as molecular biology and population biology) in making use of quantitative modeling to further biological understanding. This volume comprises work that is among the best developmental modeling available and we feel it will do much to remedy this situation. This book is aimed at all those with an interest in the interdisciplinary field of computer and mathematical modeling of multi-cellular and developmental systems. It is also a goal of the Editors to attract more developmental biologists to consider integrating modeling components into their research. Most importantly, this book is intended to serve as a portal into this research area for younger scientists – especially graduate students and post-docs, from both biological and quantitative backgrounds. * Articles written by leading exponents in the field * Provides techniques to address multiscale modeling * Coverage includes a wide spectrum of modeling approaches * Includes descriptions of the most recent advances in the field

Simple Mathematical Models of Gene Regulatory Dynamics

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Release : 2016-11-09
Genre : Medical
Kind : eBook
Book Rating : 181/5 ( reviews)

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Book Synopsis Simple Mathematical Models of Gene Regulatory Dynamics by : Michael C. Mackey

Download or read book Simple Mathematical Models of Gene Regulatory Dynamics written by Michael C. Mackey. This book was released on 2016-11-09. Available in PDF, EPUB and Kindle. Book excerpt: This is a short and self-contained introduction to the field of mathematical modeling of gene-networks in bacteria. As an entry point to the field, we focus on the analysis of simple gene-network dynamics. The notes commence with an introduction to the deterministic modeling of gene-networks, with extensive reference to applicable results coming from dynamical systems theory. The second part of the notes treats extensively several approaches to the study of gene-network dynamics in the presence of noise—either arising from low numbers of molecules involved, or due to noise external to the regulatory process. The third and final part of the notes gives a detailed treatment of three well studied and concrete examples of gene-network dynamics by considering the lactose operon, the tryptophan operon, and the lysis-lysogeny switch. The notes contain an index for easy location of particular topics as well as an extensive bibliography of the current literature. The target audience of these notes are mainly graduates students and young researchers with a solid mathematical background (calculus, ordinary differential equations, and probability theory at a minimum), as well as with basic notions of biochemistry, cell biology, and molecular biology. They are meant to serve as a readable and brief entry point into a field that is currently highly active, and will allow the reader to grasp the current state of research and so prepare them for defining and tackling new research problems.

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