Mathematical Modeling for Genes to Collective Cell Dynamics
Mathematical Modeling for Genes to Collective Cell Dynamics

Author: Tetsuji Tokihiro

Publisher: Springer Nature

Published: 2022-02-23

Total Pages: 179

ISBN-13: 981167132X

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This book describes the dynamics of biological cells and their mathematical modeling. The topics cover the dynamics of RNA polymerases in transcription, construction of vascular networks in angiogenesis, and synchronization of cardiomyocytes. Statistical analysis of single cell dynamics and classification of proteins by mathematical modeling are also presented. The book provides the most up-to-date information on both experimental results and mathematical models that can be used to analyze cellular dynamics. Novel experimental results and approaches to understand them will be appealing to the readers. Each chapter contains 1) an introductory description of the phenomenon, 2) explanations about the mathematical technique to analyze it, 3) new experimental results, 4) mathematical modeling and its application to the phenomenon. Elementary introductions for the biological phenomenon and mathematical approach to them are especially useful for beginners. The importance of collaboration between mathematics and biological sciences has been increasing and providing new outcomes. This book gives good examples of the fruitful collaboration between mathematics and biological sciences.

Mathematical Models in Biology
Mathematical Models in Biology

Author: Leah Edelstein-Keshet

Publisher: SIAM

Published: 1988-01-01

Total Pages: 629

ISBN-13: 9780898719147

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Mathematical Models in Biology is an introductory book for readers interested in biological applications of mathematics and modeling in biology. A favorite in the mathematical biology community, it shows how relatively simple mathematics can be applied to a variety of models to draw interesting conclusions. Connections are made between diverse biological examples linked by common mathematical themes. A variety of discrete and continuous ordinary and partial differential equation models are explored. Although great advances have taken place in many of the topics covered, the simple lessons contained in this book are still important and informative. Audience: the book does not assume too much background knowledge--essentially some calculus and high-school algebra. It was originally written with third- and fourth-year undergraduate mathematical-biology majors in mind; however, it was picked up by beginning graduate students as well as researchers in math (and some in biology) who wanted to learn about this field.

Dynamics Of Cancer: Mathematical Foundations Of Oncology
Dynamics Of Cancer: Mathematical Foundations Of Oncology

Author: Dominik Wodarz

Publisher: World Scientific

Published: 2014-04-24

Total Pages: 533

ISBN-13: 9814566381

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The book aims to provide an introduction to mathematical models that describe the dynamics of tumor growth and the evolution of tumor cells. It can be used as a textbook for advanced undergraduate or graduate courses, and also serves as a reference book for researchers. The book has a strong evolutionary component and reflects the viewpoint that cancer can be understood rationally through a combination of mathematical and biological tools. It can be used both by mathematicians and biologists. Mathematically, the book starts with relatively simple ordinary differential equation models, and subsequently explores more complex stochastic and spatial models. Biologically, the book starts with explorations of the basic dynamics of tumor growth, including competitive interactions among cells, and subsequently moves on to the evolutionary dynamics of cancer cells, including scenarios of cancer initiation, progression, and treatment. The book finishes with a discussion of advanced topics, which describe how some of the mathematical concepts can be used to gain insights into a variety of questions, such as epigenetics, telomeres, gene therapy, and social interactions of cancer cells.

Mathematical Models in Biology
Mathematical Models in Biology

Author: Elizabeth Spencer Allman

Publisher: Cambridge University Press

Published: 2004

Total Pages: 388

ISBN-13: 9780521525862

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This introductory textbook on mathematical biology focuses on discrete models across a variety of biological subdisciplines. Biological topics treated include linear and non-linear models of populations, Markov models of molecular evolution, phylogenetic tree construction, genetics, and infectious disease models. The coverage of models of molecular evolution and phylogenetic tree construction from DNA sequence data is unique among books at this level. Computer investigations with MATLAB are incorporated throughout, in both exercises and more extensive projects, to give readers hands-on experience with the mathematical models developed. MATLAB programs accompany the text. Mathematical tools, such as matrix algebra, eigenvector analysis, and basic probability, are motivated by biological models and given self-contained developments, so that mathematical prerequisites are minimal.

Multiscale Cancer Modeling
Multiscale Cancer Modeling

Author: Thomas S. Deisboeck

Publisher: CRC Press

Published: 2010-12-08

Total Pages: 492

ISBN-13: 1439814422

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Cancer is a complex disease process that spans multiple scales in space and time. Driven by cutting-edge mathematical and computational techniques, in silico biology provides powerful tools to investigate the mechanistic relationships of genes, cells, and tissues. It enables the creation of experimentally testable hypotheses, the integration of dat

Gastrulation
Gastrulation

Author: Claudio D. Stern

Publisher: CSHL Press

Published: 2004

Total Pages: 802

ISBN-13: 9780879697075

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During gastrulation, tissue layers are formed and the overall body plan is established. This book is the definitive guide to this vitally important period in embryonic development, providing authoritative and up to date information that includes the first comprehensive interspecies comparison, cell movements and patterning events, the roles of individual genes and gene families, and the evolution of gastrulation.

Regenerative Medicine - from Protocol to Patient
Regenerative Medicine - from Protocol to Patient

Author: Gustav Steinhoff

Publisher: Springer

Published: 2016-04-25

Total Pages: 378

ISBN-13: 3319275836

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Regenerative medicine is the main field of groundbreaking medical development and therapy using knowledge from developmental and stem cell biology, as well as advanced molecular and cellular techniques. This collection of volumes on Regenerative Medicine: From Protocol to Patient, aims to explain the scientific knowledge and emerging technology, as well as the clinical application in different organ systems and diseases. International leading experts from all over the world describe the latest scientific and clinical knowledge of the field of regenerative medicine. The process of translating science of laboratory protocols into therapies is explained in sections on regulatory, ethical and industrial issues. This collection is organized into five volumes: (1) Biology of Tissue Regeneration, (2) Stem Cell Science and Technology, (3) Tissue Engineering, Biomaterials and Nanotechnology, (4) Regenerative Therapies I, and (5) Regenerative Therapies II. The textbook gives the student, the researcher, the health care professional, the physician and the patient a complete survey on the current scientific basis, therapeutical protocols, clinical translation and practiced therapies in regenerative medicine. Volume 1 contains eleven chapters addressing the latest basic science knowledge on the “Biology of Tissue Regeneration”. The principles of cell regeneration control by extracellular matrix and the biology of stem cell niches are explained. Depicted are the principles of molecular mechanisms controlling asymmetric cell division, stem cell differentiation, developmental and regenerative biology, epigenetic and genetic control as well as mathematical modelling for cell fate prediction. Regenerative biology of stem cells in the central nervous and cardiovascular systems leading to complex tissue regeneration in the model species axolotl and zebrafish, as well as the impact of immune signalling on nuclear reprogramming are outlined. These up to date accounts gives the readers advanced insights into the biological principles of the regenerative processes in stem cells, tissues and organisms.

Hyperbolic Problems: Theory, Numerics and Applications
Hyperbolic Problems: Theory, Numerics and Applications

Author: Eitan Tadmor

Publisher: American Mathematical Soc.

Published: 2009

Total Pages: 361

ISBN-13: 0821847295

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The International Conference on Hyperbolic Problems: Theory, Numerics and Applications, 'HYP2008', was held at the University of Maryland from June 9-13, 2008. This book, the first in a two-part volume, contains nineteen papers based on plenary and invited talks presented at the conference.

Logical Modeling of Cellular Processes: From Software Development to Network Dynamics
Logical Modeling of Cellular Processes: From Software Development to Network Dynamics

Author: Matteo Barberis

Publisher: Frontiers Media SA

Published: 2019-08-16

Total Pages: 340

ISBN-13: 2889459837

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Mathematical models have become invaluable tools for understanding the intricate dynamic behavior of complex biochemical and biological systems. Among computational strategies, logical modeling has been recently gaining interest as an alternative approach to address network dynamics. Due to its advantages, including scalability and independence of kinetic parameters, the logical modeling framework is becoming increasingly popular to study the dynamics of highly interconnected systems, such as cell cycle progression, T cell differentiation and gene regulation. Novel tools and standards have been developed to increase the interoperability of logical models, which can now be employ to respond a variety of biological questions. This Research Topic brings together the most recent and cutting-edge approaches in the area of logical modeling including, among others, novel biological applications, software development and model analysis techniques.