Computational Mathematics Modeling In Cancer Analysis

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Computational Mathematics Modeling in Cancer Analysis

Author : Wenjian Qin,Nazar Zaki,Fa Zhang,Jia Wu,Fan Yang,Chao Li
Publisher : Springer Nature
Page : 182 pages
File Size : 43,9 Mb
Release : 2023-10-07
Category : Computers
ISBN : 9783031450877

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Computational Mathematics Modeling in Cancer Analysis by Wenjian Qin,Nazar Zaki,Fa Zhang,Jia Wu,Fan Yang,Chao Li Pdf

This volume LNCS 14243 constitutes the refereed proceedings of the Second International Workshop, CMMCA 2023, Held in Conjunction with MICCAI 2023, on October 8, 2023, in Vancouver, BC, Canada. The 17 full papers presented were carefully reviewed and selected from 25 submissions. The conference focuses on the discovery of cutting-edge techniques addressing trends and challenges in theoretical, computational, and applied aspects of mathematical cancer data analysis.

Computational Mathematics Modeling in Cancer Analysis

Author : Wenjian Qin,Nazar Zaki,Fa Zhang,Jia Wu,Fan Yang
Publisher : Springer Nature
Page : 171 pages
File Size : 52,8 Mb
Release : 2022-09-22
Category : Computers
ISBN : 9783031172663

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Computational Mathematics Modeling in Cancer Analysis by Wenjian Qin,Nazar Zaki,Fa Zhang,Jia Wu,Fan Yang Pdf

This book constitutes the proceedings of the First Workshop on Computational Mathematics Modeling in Cancer Analysis (CMMCA2022), held in conjunction with MICCAI 2022, in Singapore in September 2022. Due to the COVID-19 pandemic restrictions, the CMMCA2022 was held virtually. DALI 2022 accepted 15 papers from the 16 submissions that were reviewed. A major focus of CMMCA2022 is to identify new cutting-edge techniques and their applications in cancer data analysis in response to trends and challenges in theoretical, computational and applied aspects of mathematics in cancer data analysis.

Computational Biology Of Cancer: Lecture Notes And Mathematical Modeling

Author : Dominik Wodarz,Natalia Komarova
Publisher : World Scientific
Page : 266 pages
File Size : 46,8 Mb
Release : 2005-01-24
Category : Science
ISBN : 9789814481878

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Computational Biology Of Cancer: Lecture Notes And Mathematical Modeling by Dominik Wodarz,Natalia Komarova Pdf

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.

Computational Biology of Cancer

Author : Dominik Wodarz,Natalia L. Komarova
Publisher : World Scientific
Page : 268 pages
File Size : 54,8 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

Mathematical Models of Cancer and Different Therapies

Author : Regina Padmanabhan,Nader Meskin,Ala-Eddin Al Moustafa
Publisher : Springer Nature
Page : 256 pages
File Size : 42,7 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

Author : Vittorio Cristini,John Lowengrub
Publisher : Cambridge University Press
Page : 299 pages
File Size : 55,7 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.

Mathematical Models in Cancer Research,

Author : T. E. Wheldon
Publisher : CRC Press
Page : 272 pages
File Size : 49,5 Mb
Release : 1988
Category : Art
ISBN : UOM:39015014464666

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Mathematical Models in Cancer Research, by T. E. Wheldon Pdf

Cancer research deals with all aspects of malignant transformation, tumour growth and the effects of treatment. Mathematical models enable quantitative representations of the changes affecting cell state and cell number. This book provides a review of the scope of mathematical modelling in cancer research, bringing together for the first time a group of related mathematical topics including multistage carcinogenesis, tumour growth kinetics, growth control, radiotherapy, chemotherapy and biological targeting in cancer treatment. Physicists and mathematicians interested in medical research, biomathematicians, biostatisticians, radiation and medical oncologists and experimental and theoretical biologists will welcome this critical review of mathematical modelling in cancer research. This book will also be of interest to clinicians, basic cancer scientists and physicists working in radiotherapy departments, and to postgraduate students on courses in oncology and subjects.

Mathematical and Computational Modeling

Author : Roderick Melnik
Publisher : John Wiley & Sons
Page : 336 pages
File Size : 45,8 Mb
Release : 2015-04-30
Category : Mathematics
ISBN : 9781118854112

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Mathematical and Computational Modeling by Roderick Melnik Pdf

Illustrates the application of mathematical and computational modeling in a variety of disciplines With an emphasis on the interdisciplinary nature of mathematical and computational modeling, Mathematical and Computational Modeling: With Applications in the Natural and Social Sciences, Engineering, and the Arts features chapters written by well-known, international experts in these fields and presents readers with a host of state-of-the-art achievements in the development of mathematical modeling and computational experiment methodology. The book is a valuable guide to the methods, ideas, and tools of applied and computational mathematics as they apply to other disciplines such as the natural and social sciences, engineering, and technology. Mathematical and Computational Modeling: With Applications in the Natural and Social Sciences, Engineering, and the Arts also features: Rigorous mathematical procedures and applications as the driving force behind mathematical innovation and discovery Numerous examples from a wide range of disciplines to emphasize the multidisciplinary application and universality of applied mathematics and mathematical modeling Original results on both fundamental theoretical and applied developments in diverse areas of human knowledge Discussions that promote interdisciplinary interactions between mathematicians, scientists, and engineers Mathematical and Computational Modeling: With Applications in the Natural and Social Sciences, Engineering, and the Arts is an ideal resource for professionals in various areas of mathematical and statistical sciences, modeling and simulation, physics, computer science, engineering, biology and chemistry, industrial, and computational engineering. The book also serves as an excellent textbook for graduate courses in mathematical modeling, applied mathematics, numerical methods, operations research, and optimization.

An Introduction to Physical Oncology

Author : Vittorio Cristini,Eugene Koay,Zhihui Wang
Publisher : CRC Press
Page : 204 pages
File Size : 46,8 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.

Mathematical and Computational Oncology

Author : George Bebis,Max Alekseyev,Heyrim Cho,Jana Gevertz,Maria Rodriguez Martinez
Publisher : Springer Nature
Page : 133 pages
File Size : 55,7 Mb
Release : 2020-12-07
Category : Computers
ISBN : 9783030645113

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Mathematical and Computational Oncology by George Bebis,Max Alekseyev,Heyrim Cho,Jana Gevertz,Maria Rodriguez Martinez Pdf

This book constitutes the refereed proceedings of the Second International Symposium on Mathematical and Computational Oncology, ISMCO 2020, which was supposed to be held in San Diego, CA, USA, in October 2020, but was instead held virtually due to the COVID-19 pandemic. The 6 full papers and 4 short papers presented together with 1 invited talk were carefully reviewed and selected from 28 submissions. The papers are organized in topical sections named: statistical and machine learning methods for cancer research; mathematical modeling for cancer research; general cancer computational biology; and posters.

Mathematical Models and Computer Simulations for Biomedical Applications

Author : Gabriella Bretti,Roberto Natalini,Pasquale Palumbo,Luigi Preziosi
Publisher : Springer Nature
Page : 261 pages
File Size : 48,6 Mb
Release : 2023-09-17
Category : Mathematics
ISBN : 9783031357152

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Mathematical Models and Computer Simulations for Biomedical Applications by Gabriella Bretti,Roberto Natalini,Pasquale Palumbo,Luigi Preziosi Pdf

Mathematical modelling and computer simulations are playing a crucial role in the solution of the complex problems arising in the field of biomedical sciences and provide a support to clinical and experimental practices in an interdisciplinary framework. Indeed, the development of mathematical models and efficient numerical simulation tools is of key importance when dealing with such applications. Moreover, since the parameters in biomedical models have peculiar scientific interpretations and their values are often unknown, accurate estimation techniques need to be developed for parameter identification against the measured data of observed phenomena. In the light of the new challenges brought by the biomedical applications, computational mathematics paves the way for the validation of the mathematical models and the investigation of control problems. The volume hosts high-quality selected contributions containing original research results as well as comprehensive papers and survey articles including prospective discussion focusing on some topical biomedical problems. It is addressed, but not limited to: research institutes, academia, and pharmaceutical industries.

Mathematical and Computational Studies on Progress, Prognosis, Prevention and Panacea of Breast Cancer

Author : Suhrit Dey,Charlie Dey
Publisher : Springer Nature
Page : 377 pages
File Size : 40,6 Mb
Release : 2022-03-25
Category : Computers
ISBN : 9789811660771

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Mathematical and Computational Studies on Progress, Prognosis, Prevention and Panacea of Breast Cancer by Suhrit Dey,Charlie Dey Pdf

This book’s aim is to study the mathematical and computational models to analyze the progress, prognosis, prevention, and panacea of breast cancer. The book discusses application of Markov chains and transient mappings, Charlie–Simpson numerical algorithm, models represented by nonlinear reaction–diffusion-type partial differential equations, and related techniques. The book also attempts to design mathematical model of targeted strategic treatments by using Skilled Killer Drugs (SKD1 and SKD2) to suggest the improvisation of future cancer treatments. Both graduate students and researchers of computational biology and oncologists will benefit by studying this book. Researchers of cancer studies and biological sciences will also find this work helpful.

Spatiotemporal Modeling of Cancer Immunotherapy

Author : William E. Schiesser
Publisher : Springer
Page : 117 pages
File Size : 43,7 Mb
Release : 2019-05-30
Category : Medical
ISBN : 9783030190804

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Spatiotemporal Modeling of Cancer Immunotherapy by William E. Schiesser Pdf

The focus of this book is a detailed discussion of a dual cancer vaccine (CV)-immune checkpoint inhibitor (ICI) mathematical model formulated as a system of partial differential equations (PDEs) defining the spatiotemporal distribution of cells and biochemicals during tumor growth. A computer implementation of the model is discussed in detail for the quantitative evaluation of CV-ICI therapy. The coding (programming) consists of a series of routines in R, a quality, open-source scientific computing system that is readily available from the internet. The routines are based on the method of lines (MOL), a general PDE algorithm that can be executed on modest computers within the basic R system. The reader can download and use the routines to confirm the model solutions reported in the book, then experiment with the model by varying the parameters and modifying/extending the equations, and even studying alternative models with the PDE methodology demonstrated by the CV-ICI model. Spatiotemporal Modeling of Cancer Immunotherapy: Partial Differential Equation Analysis in R facilitates the use of the model, and more generally, computer- based analysis of cancer immunotherapy mathematical models, as a step toward the development and quantitative evaluation of the immunotherapy approach to the treatment of cancer. To download the R routines, please visit: http://www.lehigh.edu/~wes1/ci_download

Mathematical Models of Tumor-Immune System Dynamics

Author : Amina Eladdadi,Peter Kim,Dann Mallet
Publisher : Springer
Page : 282 pages
File Size : 45,7 Mb
Release : 2014-11-06
Category : Mathematics
ISBN : 9781493917938

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Mathematical Models of Tumor-Immune System Dynamics by Amina Eladdadi,Peter Kim,Dann Mallet Pdf

This collection of papers offers a broad synopsis of state-of-the-art mathematical methods used in modeling the interaction between tumors and the immune system. These papers were presented at the four-day workshop on Mathematical Models of Tumor-Immune System Dynamics held in Sydney, Australia from January 7th to January 10th, 2013. The workshop brought together applied mathematicians, biologists, and clinicians actively working in the field of cancer immunology to share their current research and to increase awareness of the innovative mathematical tools that are applicable to the growing field of cancer immunology. Recent progress in cancer immunology and advances in immunotherapy suggest that the immune system plays a fundamental role in host defense against tumors and could be utilized to prevent or cure cancer. Although theoretical and experimental studies of tumor-immune system dynamics have a long history, there are still many unanswered questions about the mechanisms that govern the interaction between the immune system and a growing tumor. The multidimensional nature of these complex interactions requires a cross-disciplinary approach to capture more realistic dynamics of the essential biology. The papers presented in this volume explore these issues and the results will be of interest to graduate students and researchers in a variety of fields within mathematical and biological sciences.