Introduction To Mathematical Oncology

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Introduction to Mathematical Oncology

Yang Kuang,John D. Nagy,Steffen E. Eikenberry
Introduction to Mathematical Oncology Book PDF

Author : Yang Kuang,John D. Nagy,Steffen E. Eikenberry
Publisher : CRC Press
Page : 472 pages
File Size : 44,5 Mb
Release : 2018-09-03
Category : Mathematics
ISBN : 9781315361987

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Introduction to Mathematical Oncology by Yang Kuang,John D. Nagy,Steffen E. Eikenberry Pdf

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.

Introduction to Mathematical Oncology

Yang Kuang,John D. Nagy,Steffen E. Eikenberry
Introduction to Mathematical Oncology Book PDF

Author : Yang Kuang,John D. Nagy,Steffen E. Eikenberry
Publisher : CRC Press
Page : 291 pages
File Size : 40,8 Mb
Release : 2018-09-03
Category : Mathematics
ISBN : 9781498752978

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Introduction to Mathematical Oncology by Yang Kuang,John D. Nagy,Steffen E. Eikenberry Pdf

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.

Dynamics of Cancer

Dominik Wodarz,Natalia L Komarova
Dynamics of Cancer Book PDF

Author : Dominik Wodarz,Natalia L Komarova
Publisher : World Scientific
Page : 532 pages
File Size : 47,8 Mb
Release : 2014-04-24
Category : Medical
ISBN : 9789814566384

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Dynamics of Cancer by Dominik Wodarz,Natalia L Komarova Pdf

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. Contents:Teaching GuideCancer and Somatic EvolutionMathematical Modeling of TumorigenesisBasic Growth Dynamics and Deterministic Models:Single Species GrowthTwo-Species Competition DynamicsCompetition Between Genetically Stable and Unstable CellsChromosomal Instability and Tumor GrowthAngiogenesis Inhibitors, Promoters, and Spatial GrowthEvolutionary Dynamics and Stochastic Models:Evolutionary Dynamics of Tumor Initiation Through Oncogenes: The Gain-of-Function ModelEvolutionary Dynamics of Tumor Initiation Through Tumor-Suppressor Genes: The Loss-of-Function Model and Stochastic TunnelingMicrosatellite and Chromosomal Instability in Sporadic and Familial Colorectal CancersEvolutionary Dynamics in Hierarchical PopulationsSpatial Evolutionary Dynamics of Tumor InitiationComplex Tumor Dynamics in SpaceStochastic Modeling of Cellular Growth, Treatment, and Resistance GenerationEvolutionary Dynamics of Drug Resistance in Chronic Myeloid LeukemiaAdvanced Topics:Evolutionary Dynamics of Stem-Cell Driven Tumor GrowthTumor Growth Kinetics and Disease ProgressionEpigenetic Changes and the Rate of DNA MethylationTelomeres and Cancer ProtectionGene Therapy and Oncolytic Virus TherapyImmune Responses, Tumor Growth, and TherapiesTowards Higher Complexities: Social Interactions Readership: Researchers in mathematical biology, mathematical modeling, biology, mathematical oncology. Keywords:Mathematical Oncology;Dynamics;Evolution;Evolutionary Dynamics;Cancer;Mathematical Models;Somatic Evolution;TeachingKey Features:Both a reference book for the topic, and provides material for undergraduate and graduate coursesTries to bridge the divide between mathematicians and biologists, which is also reflected in the backgrounds of the two authorsShows how mathematical concepts can be translated into experimentally and clinically useful insightsRooted in evolutionary biology, the book handles this very complex phenomenon in an intuitive and mathematically elegant wayContains problems and research projects for each topic10 pages of figures in color

An Introduction to Physical Oncology

Dr Vittorio Cristini,Taylor & Francis Group,Eugene Koay,Zhihui Wang
An Introduction to Physical Oncology Book PDF

Author : Dr Vittorio Cristini,Taylor & Francis Group,Eugene Koay,Zhihui Wang
Publisher : CRC Press
Page : 204 pages
File Size : 44,8 Mb
Release : 2021-12-13
Category : Electronic
ISBN : 1032242795

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An Introduction to Physical Oncology by Dr Vittorio Cristini,Taylor & Francis Group,Eugene Koay,Zhihui Wang Pdf

This book introduces the emerging field of physical oncology, and includes recent breakthroughs in how novel mathematical models of physical transport processes incorporate patient tissue and imaging data routinely produced in the clinic to predict the efficacy of many cancer treatment approaches, including chemotherapy and radiation therapy.

Mathematical Oncology 2013

Alberto d'Onofrio,Alberto Gandolfi
Mathematical Oncology 2013 Book PDF

Author : Alberto d'Onofrio,Alberto Gandolfi
Publisher : Springer
Page : 334 pages
File Size : 47,7 Mb
Release : 2014-10-16
Category : Mathematics
ISBN : 9781493904587

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Mathematical Oncology 2013 by Alberto d'Onofrio,Alberto Gandolfi Pdf

With chapters on free boundaries, constitutive equations, stochastic dynamics, nonlinear diffusion–consumption, structured populations, and applications of optimal control theory, this volume presents the most significant recent results in the field of mathematical oncology. It highlights the work of world-class research teams, and explores how different researchers approach the same problem in various ways. Tumors are complex entities that present numerous challenges to the mathematical modeler. First and foremost, they grow. Thus their spatial mean field description involves a free boundary problem. Second, their interiors should be modeled as nontrivial porous media using constitutive equations. Third, at the end of anti-cancer therapy, a small number of malignant cells remain, making the post-treatment dynamics inherently stochastic. Fourth, the growth parameters of macroscopic tumors are non-constant, as are the parameters of anti-tumor therapies. Changes in these parameters may induce phenomena that are mathematically equivalent to phase transitions. Fifth, tumor vascular growth is random and self-similar. Finally, the drugs used in chemotherapy diffuse and are taken up by the cells in nonlinear ways. Mathematical Oncology 2013 will appeal to graduate students and researchers in biomathematics, computational and theoretical biology, biophysics, and bioengineering.

Methods of Mathematical Oncology

Takashi Suzuki,Clair Poignard,Mark Chaplain,Vito Quaranta
Methods of Mathematical Oncology Book PDF

Author : Takashi Suzuki,Clair Poignard,Mark Chaplain,Vito Quaranta
Publisher : Springer Nature
Page : 308 pages
File Size : 42,6 Mb
Release : 2021-08-21
Category : Mathematics
ISBN : 9789811648663

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Methods of Mathematical Oncology by Takashi Suzuki,Clair Poignard,Mark Chaplain,Vito Quaranta Pdf

This book presents original papers reflecting topics featured at the international symposium entitled “Fusion of Mathematics and Biology” and organized by the editor of the book. The symposium, held in October 2020 at Osaka University in Japan, was the core event for the final year of the research project entitled “Establishing International Research Networks of Mathematical Oncology.” The project had been carried out since April 2015 as part of the Core-to-Core Program of Japan Society for the Promotion of Science (JSPS). In this book, the editor presents collaborative research from prestigious organizations in France, the UK, and the USA. By utilizing their individual strengths and realizing the fusion of life science and mathematical science, the project achieved a combination of mathematical analysis, verification by biomedical experiments, and statistical analysis of chemical databases. Mathematics is sometimes regarded as a universal language. It is a valuable property that everyone can understand beyond the boundaries of culture, religion, and language. This unifying force of mathematics also applies to the various fields of science. Mathematical oncology has two aspects, i.e., data science and mathematical modeling, and definitely helps in the prediction and control of biological phenomena observed in cancer evolution. The topics addressed in this book represent several methods of applying mathematical modeling to scientific problems in the natural sciences. Furthermore, novel reviews are included that may motivate many mathematicians to become interested in biological research.

An Introduction to Physical Oncology

Vittorio Cristini,Eugene Koay,Zhihui Wang
An Introduction to Physical Oncology Book PDF

Author : Vittorio Cristini,Eugene Koay,Zhihui Wang
Publisher : CRC Press
Page : 204 pages
File Size : 51,6 Mb
Release : 2017-06-26
Category : Mathematics
ISBN : 9781466551367

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An Introduction to Physical Oncology by Vittorio Cristini,Eugene Koay,Zhihui Wang Pdf

Physical oncology has the potential to revolutionize cancer research and treatment. The fundamental rationale behind this approach is that physical processes, such as transport mechanisms for drug molecules within tissue and forces exchanged by cancer cells with tissue, may play an equally important role as biological processes in influencing progression and treatment outcome. This book introduces the emerging field of physical oncology to a general audience, with a focus on recent breakthroughs that help in the design and discovery of more effective cancer treatments. It describes how novel mathematical models of physical transport processes incorporate patient tissue and imaging data routinely produced in the clinic to predict the efficacy of many cancer treatment approaches, including chemotherapy and radiation therapy. By helping to identify which therapies would be most beneficial for an individual patient, and quantifying their effects prior to actual implementation in the clinic, physical oncology allows doctors to design treatment regimens customized to each patient’s clinical needs, significantly altering the current clinical approach to cancer treatment and improving the outcomes for patients.

An Introduction to Physical Oncology

Vittorio Cristini,Zhihui Wang,Eugene Koay
An Introduction to Physical Oncology Book PDF

Author : Vittorio Cristini,Zhihui Wang,Eugene Koay
Publisher : Chapman and Hall/CRC
Page : 0 pages
File Size : 41,8 Mb
Release : 2016-01-15
Category : Mathematics
ISBN : 1466551348

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An Introduction to Physical Oncology by Vittorio Cristini,Zhihui Wang,Eugene Koay Pdf

This book presents a theoretical multiscale modeling framework for the integration of processes spanning from molecular signaling to individual and collective cellular behavior to complex spatiotemporal dynamics at the tissue and organ levels. It then gives a detailed discussion on how to incorporate experimental and patient data into the modeling framework. The book also illustrates multiscale modeling approaches through several applications, including breast cancer and mammary gland development, lymphoma and leukemia growth, the investigation of biobarriers to chemotherapeutic drugs, and nanoparticle-based delivering strategies.

Methods of Mathematical Oncology

Takashi Suzuki,Clair Poignard,Mark Chaplain,Vito Quaranta
Methods of Mathematical Oncology Book PDF

Author : Takashi Suzuki,Clair Poignard,Mark Chaplain,Vito Quaranta
Publisher : Unknown
Page : 0 pages
File Size : 44,7 Mb
Release : 2021
Category : Electronic
ISBN : 9811648670

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Methods of Mathematical Oncology by Takashi Suzuki,Clair Poignard,Mark Chaplain,Vito Quaranta Pdf

This book presents original papers reflecting topics featured at the international symposium entitled "Fusion of Mathematics and Biology" and organized by the editor of the book. The symposium, held in October 2020 at Osaka University in Japan, was the core event for the final year of the research project entitled "Establishing International Research Networks of Mathematical Oncology." The project had been carried out since April 2015 as part of the Core-to-Core Program of Japan Society for the Promotion of Science (JSPS). In this book, the editor presents collaborative research from prestigious organizations in France, the UK, and the USA. By utilizing their individual strengths and realizing the fusion of life science and mathematical science, the project achieved a combination of mathematical analysis, verification by biomedical experiments, and statistical analysis of chemical databases. Mathematics is sometimes regarded as a universal language. It is a valuable property that everyone can understand beyond the boundaries of culture, religion, and language. This unifying force of mathematics also applies to the various fields of science. Mathematical oncology has two aspects, i.e., data science and mathematical modeling, and definitely helps in the prediction and control of biological phenomena observed in cancer evolution. The topics addressed in this book represent several methods of applying mathematical modeling to scientific problems in the natural sciences. Furthermore, novel reviews are included that may motivate many mathematicians to become interested in biological research.

Mathematical Models of Cancer and Different Therapies

Regina Padmanabhan,Nader Meskin,Ala-Eddin Al Moustafa
Mathematical Models of Cancer and Different Therapies Book PDF

Author : Regina Padmanabhan,Nader Meskin,Ala-Eddin Al Moustafa
Publisher : Springer Nature
Page : 256 pages
File Size : 50,6 Mb
Release : 2020-10-31
Category : Technology & Engineering
ISBN : 9789811586408

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Mathematical Models of Cancer and Different Therapies by Regina Padmanabhan,Nader Meskin,Ala-Eddin Al Moustafa Pdf

This book provides a unified framework for various currently available mathematical models that are used to analyze progression and regression in cancer development, and to predict its dynamics with respect to therapeutic interventions. Accurate and reliable model representations of cancer dynamics are milestones in the field of cancer research. Mathematical modeling approaches are becoming increasingly common in cancer research, as these quantitative approaches can help to validate hypotheses concerning cancer dynamics and thus elucidate the complexly interlaced mechanisms involved. Even though the related conceptual and technical information is growing at an exponential rate, the application of said information and realization of useful healthcare devices are lagging behind. In order to remedy this discrepancy, more interdisciplinary research works and course curricula need to be introduced in academic, industrial, and clinical organizations alike. To that end, this book reformulates most of the existing mathematical models as special cases of a general model, allowing readers to easily get an overall idea of cancer dynamics and its modeling. Moreover, the book will help bridge the gap between biologists and engineers, as it brings together cancer dynamics, the main steps involved in mathematical modeling, and control strategies developed for cancer management. This also allows readers in both medical and engineering fields to compare and contrast all the therapy-based models developed to date using a single source, and to identify unexplored research directions.

Multiscale Modeling of Cancer

Vittorio Cristini,John Lowengrub
Multiscale Modeling of Cancer Book PDF

Author : Vittorio Cristini,John Lowengrub
Publisher : Cambridge University Press
Page : 299 pages
File Size : 45,5 Mb
Release : 2010-09-09
Category : Technology & Engineering
ISBN : 9781139491501

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Multiscale Modeling of Cancer by Vittorio Cristini,John Lowengrub Pdf

Mathematical modeling, analysis and simulation are set to play crucial roles in explaining tumor behavior, and the uncontrolled growth of cancer cells over multiple time and spatial scales. This book, the first to integrate state-of-the-art numerical techniques with experimental data, provides an in-depth assessment of tumor cell modeling at multiple scales. The first part of the text presents a detailed biological background with an examination of single-phase and multi-phase continuum tumor modeling, discrete cell modeling, and hybrid continuum-discrete modeling. In the final two chapters, the authors guide the reader through problem-based illustrations and case studies of brain and breast cancer, to demonstrate the future potential of modeling in cancer research. This book has wide interdisciplinary appeal and is a valuable resource for mathematical biologists, biomedical engineers and clinical cancer research communities wishing to understand this emerging field.

Cancer Systems Biology

Edwin Wang
Cancer Systems Biology Book PDF

Author : Edwin Wang
Publisher : CRC Press
Page : 456 pages
File Size : 40,9 Mb
Release : 2010-05-04
Category : Computers
ISBN : 1439811865

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Cancer Systems Biology by Edwin Wang Pdf

The unprecedented amount of data produced with high-throughput experimentation forces biologists to employ mathematical representation and computation methods to glean meaningful information in systems-level biology. Applying this approach to the underlying molecular mechanisms of tumorigenesis, cancer researchers can uncover a series of new discov

Computational Biology of Cancer

Dominik Wodarz,Natalia L. Komarova
Computational Biology of Cancer Book PDF

Author : Dominik Wodarz,Natalia L. Komarova
Publisher : World Scientific
Page : 268 pages
File Size : 53,6 Mb
Release : 2005
Category : Science
ISBN : 9789812560278

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Computational Biology of Cancer by Dominik Wodarz,Natalia L. Komarova Pdf

- Provides an introduction to computational methods in cancer biology - Follows a multi-disciplinary approach

The Evolution of the Use of Mathematics in Cancer Research

Pedro Jose Gutiérrez Diez,Irma H. Russo,Jose Russo
The Evolution of the Use of Mathematics in Cancer Research Book PDF

Author : Pedro Jose Gutiérrez Diez,Irma H. Russo,Jose Russo
Publisher : Springer Science & Business Media
Page : 404 pages
File Size : 40,6 Mb
Release : 2012-02-17
Category : Medical
ISBN : 9781461423973

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The Evolution of the Use of Mathematics in Cancer Research by Pedro Jose Gutiérrez Diez,Irma H. Russo,Jose Russo Pdf

The book will provide an exhaustive and clear explanation of how Statistics, Mathematics and Informatics have been used in cancer research, and seeks to help cancer researchers in achieving their objectives. To do so, state-of-the-art Biostatistics, Biomathematics and Bioinformatics methods will be described and discussed in detail through illustrative and capital examples taken from cancer research work already published. The book will provide a guide for cancer researchers in using Statistics, Mathematics and Informatics, clarifying the contribution of these logical sciences to the study of cancer, thoroughly explaining their procedures and methods, and providing criteria to their appropriate use.

Optimal Control for Mathematical Models of Cancer Therapies

Heinz Schättler,Urszula Ledzewicz
Optimal Control for Mathematical Models of Cancer Therapies Book PDF

Author : Heinz Schättler,Urszula Ledzewicz
Publisher : Springer
Page : 496 pages
File Size : 44,9 Mb
Release : 2015-09-15
Category : Mathematics
ISBN : 9781493929726

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Optimal Control for Mathematical Models of Cancer Therapies by Heinz Schättler,Urszula Ledzewicz Pdf

This book presents applications of geometric optimal control to real life biomedical problems with an emphasis on cancer treatments. A number of mathematical models for both classical and novel cancer treatments are presented as optimal control problems with the goal of constructing optimal protocols. The power of geometric methods is illustrated with fully worked out complete global solutions to these mathematically challenging problems. Elaborate constructions of optimal controls and corresponding system responses provide great examples of applications of the tools of geometric optimal control and the outcomes aid the design of simpler, practically realizable suboptimal protocols. The book blends mathematical rigor with practically important topics in an easily readable tutorial style. Graduate students and researchers in science and engineering, particularly biomathematics and more mathematical aspects of biomedical engineering, would find this book particularly useful.