Author: Nicola Bellomo Publisher: Springer Science & Business Media ISBN: 0817647139 Category : Mathematics Languages : en Pages : 481
Book Description
This collection of selected chapters offers a comprehensive overview of state-of-the-art mathematical methods and tools for modeling and analyzing cancer phenomena. Topics covered include stochastic evolutionary models of cancer initiation and progression, tumor cords and their response to anticancer agents, and immune competition in tumor progression and prevention. The complexity of modeling living matter requires the development of new mathematical methods and ideas. This volume, written by first-rate researchers in the field of mathematical biology, is one of the first steps in that direction.
Author: Yang Kuang Publisher: CRC Press ISBN: 1315361981 Category : Mathematics Languages : en Pages : 472
Book Description
Introduction to Mathematical Oncology presents biologically well-motivated and mathematically tractable models that facilitate both a deep understanding of cancer biology and better cancer treatment designs. It covers the medical and biological background of the diseases, modeling issues, and existing methods and their limitations. The authors introduce mathematical and programming tools, along with analytical and numerical studies of the models. They also develop new mathematical tools and look to future improvements on dynamical models. After introducing the general theory of medicine and exploring how mathematics can be essential in its understanding, the text describes well-known, practical, and insightful mathematical models of avascular tumor growth and mathematically tractable treatment models based on ordinary differential equations. It continues the topic of avascular tumor growth in the context of partial differential equation models by incorporating the spatial structure and physiological structure, such as cell size. The book then focuses on the recent active multi-scale modeling efforts on prostate cancer growth and treatment dynamics. It also examines more mechanistically formulated models, including cell quota-based population growth models, with applications to real tumors and validation using clinical data. The remainder of the text presents abundant additional historical, biological, and medical background materials for advanced and specific treatment modeling efforts. Extensively classroom-tested in undergraduate and graduate courses, this self-contained book allows instructors to emphasize specific topics relevant to clinical cancer biology and treatment. It can be used in a variety of ways, including a single-semester undergraduate course, a more ambitious graduate course, or a full-year sequence on mathematical oncology.
Author: Dominik Wodarz Publisher: World Scientific ISBN: 9814566381 Category : Mathematics Languages : en Pages : 533
Book Description
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.
Author: Beverly A. Teicher Publisher: Springer Science & Business Media ISBN: 1592591000 Category : Medical Languages : en Pages : 745
Book Description
Beverly A. Teicher and a panel of leading experts comprehensively describe for the first time in many years the state-of-the-art in animal tumor model research. The wide array of models detailed form the basis for the selection of compounds and treatments that go into clinical testing of patients, and include syngeneic models, human tumor xenograft models, orthotopic models, metastatic models, transgenic models, and gene knockout models. Synthesizing many years experience with all the major in vivo models currently available for the study of malignant disease, Tumor Models in Cancer Research provides preclinical and clinical cancer researchers alike with a comprehensive guide to the selection of these models, their effective use, and the optimal interpretation of their results.
Author: Thomas S. Deisboeck Publisher: CRC Press ISBN: 1439814422 Category : Mathematics Languages : en Pages : 492
Book Description
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
Author: Dominik Wodarz Publisher: World Scientific ISBN: 9814481874 Category : Science Languages : en Pages : 266
Book Description
The book shows how mathematical and computational models can be used to study cancer biology. It introduces the concept of mathematical modeling and then applies it to a variety of topics in cancer biology. These include aspects of cancer initiation and progression, such as the somatic evolution of cells, genetic instability, and angiogenesis. The book also discusses the use of mathematical models for the analysis of therapeutic approaches such as chemotherapy, immunotherapy, and the use of oncolytic viruses.
Author: Michael Breitenbach Publisher: Frontiers Media SA ISBN: 288945701X Category : Languages : en Pages : 176
Book Description
Cancer research, like research on other diseases, highly depends on representative and reliable model systems. In the Research Topic “Cancer Models”, we collected original papers and review articles addressing the topic of tumor modeling from molecular biology, biochemistry, microorganisms, cells and organoids, fishes, animals and xenografts, up to computational cancer models and patient data analysis. This representative eBook describes that there is not a single molecular defined tumor but rather a heterogenic and highly variable complex of different individual diseases. This is what makes research on cancer so difficult, expensive, and explains the broad number of models needed for research. Our authors describe new next-generation sequencing-based methods to analyze complex patterns of chromosomal aberrations in order to understand the molecular biology of tumorigenesis as well as the role of cellular senescence and dormancy in the aetiology of tumor formation and development of therapy resistance of tumors. The current developments on 3D cultures are thoroughly reviewed, as these models help to overcome the current limitations of cell cultures and allow a more accurate mimicry of the native cancer tissue, including cellular heterogeneity and restore specific biochemical and morphological. Reviews about tumor models in zebrafish, different transgenic mouse strains and pigs conclude the book. In the final two chapters of this volume, the authors discuss the theoretical and mathematical models developed in cancer research.
Author: Nicola Bellomo
Author: Yang Kuang
Author: Dominik Wodarz
Author: Beverly A. Teicher
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Author: Thomas S. Deisboeck
Author: N. Bellomo
Author: Dominik Wodarz
Author: Michael Breitenbach