Mathematical Models Of Tumor Immune System Dynamics

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Mathematical Models of Tumor-Immune System Dynamics

Amina Eladdadi,Peter Kim,Dann Mallet
Mathematical Models of Tumor Immune System Dynamics Book PDF

Author : Amina Eladdadi,Peter Kim,Dann Mallet
Publisher : Springer
Page : 282 pages
File Size : 52,7 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.

A Survey of Models for Tumor-Immune System Dynamics

John A. Adam,Nicola Bellomo
A Survey of Models for Tumor Immune System Dynamics Book PDF

Author : John A. Adam,Nicola Bellomo
Publisher : Springer Science & Business Media
Page : 357 pages
File Size : 43,7 Mb
Release : 2012-10-06
Category : Mathematics
ISBN : 9780817681197

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A Survey of Models for Tumor-Immune System Dynamics by John A. Adam,Nicola Bellomo Pdf

Mathematical Modeling and Immunology An enormous amount of human effort and economic resources has been directed in this century to the fight against cancer. The purpose, of course, has been to find strategies to overcome this hard, challenging and seemingly endless struggle. We can readily imagine that even greater efforts will be required in the next century. The hope is that ultimately humanity will be successful; success will have been achieved when it is possible to activate and control the immune system in its competition against neoplastic cells. Dealing with the above-mentioned problem requires the fullest pos sible cooperation among scientists working in different fields: biology, im munology, medicine, physics and, we believe, mathematics. Certainly, bi ologists and immunologists will make the greatest contribution to the re search. However, it is now increasingly recognized that mathematics and computer science may well able to make major contributions to such prob lems. We cannot expect mathematicians alone to solve fundamental prob lems in immunology and (in particular) cancer research, but valuable sup port, however modest, can be provided by mathematicians to the research aspirations of biologists and immunologists working in this field.

A Survey of Models for Tumor-Immune System Dynamics

John Adam,Nicola Bellomo
A Survey of Models for Tumor Immune System Dynamics Book PDF

Author : John Adam,Nicola Bellomo
Publisher : Birkhäuser
Page : 344 pages
File Size : 44,7 Mb
Release : 2012-09-27
Category : Mathematics
ISBN : 1461264081

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A Survey of Models for Tumor-Immune System Dynamics by John Adam,Nicola Bellomo Pdf

Mathematical Modeling and Immunology An enormous amount of human effort and economic resources has been directed in this century to the fight against cancer. The purpose, of course, has been to find strategies to overcome this hard, challenging and seemingly endless struggle. We can readily imagine that even greater efforts will be required in the next century. The hope is that ultimately humanity will be successful; success will have been achieved when it is possible to activate and control the immune system in its competition against neoplastic cells. Dealing with the above-mentioned problem requires the fullest pos sible cooperation among scientists working in different fields: biology, im munology, medicine, physics and, we believe, mathematics. Certainly, bi ologists and immunologists will make the greatest contribution to the re search. However, it is now increasingly recognized that mathematics and computer science may well able to make major contributions to such prob lems. We cannot expect mathematicians alone to solve fundamental prob lems in immunology and (in particular) cancer research, but valuable sup port, however modest, can be provided by mathematicians to the research aspirations of biologists and immunologists working in this field.

Mathematical Modeling of the Immune System in Homeostasis, Infection and Disease

Gennady Bocharov,Burkhard Ludewig,Andreas Meyerhans,Vitaly Volpert
Mathematical Modeling of the Immune System in Homeostasis Infection and Disease Book PDF

Author : Gennady Bocharov,Burkhard Ludewig,Andreas Meyerhans,Vitaly Volpert
Publisher : Frontiers Media SA
Page : 278 pages
File Size : 44,7 Mb
Release : 2020-02-24
Category : Electronic
ISBN : 9782889634613

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Mathematical Modeling of the Immune System in Homeostasis, Infection and Disease by Gennady Bocharov,Burkhard Ludewig,Andreas Meyerhans,Vitaly Volpert Pdf

The immune system provides the host organism with defense mechanisms against invading pathogens and tumor development and it plays an active role in tissue and organ regeneration. Deviations from the normal physiological functioning of the immune system can lead to the development of diseases with various pathologies including autoimmune diseases and cancer. Modern research in immunology is characterized by an unprecedented level of detail that has progressed towards viewing the immune system as numerous components that function together as a whole network. Currently, we are facing significant difficulties in analyzing the data being generated from high-throughput technologies for understanding immune system dynamics and functions, a problem known as the ‘curse of dimensionality’. As the mainstream research in mathematical immunology is based on low-resolution models, a fundamental question is how complex the mathematical models should be? To respond to this challenging issue, we advocate a hypothesis-driven approach to formulate and apply available mathematical modelling technologies for understanding the complexity of the immune system. Moreover, pure empirical analyses of immune system behavior and the system’s response to external perturbations can only produce a static description of the individual components of the immune system and the interactions between them. Shifting our view of the immune system from a static schematic perception to a dynamic multi-level system is a daunting task. It requires the development of appropriate mathematical methodologies for the holistic and quantitative analysis of multi-level molecular and cellular networks. Their coordinated behavior is dynamically controlled via distributed feedback and feedforward mechanisms which altogether orchestrate immune system functions. The molecular regulatory loops inherent to the immune system that mediate cellular behaviors, e.g. exhaustion, suppression, activation and tuning, can be analyzed using mathematical categories such as multi-stability, switches, ultra-sensitivity, distributed system, graph dynamics, or hierarchical control. GB is supported by the Russian Science Foundation (grant 18-11-00171). AM is also supported by grants from the Spanish Ministry of Economy, Industry and Competitiveness and FEDER grant no. SAF2016-75505-R, the “María de Maeztu” Programme for Units of Excellence in R&D (MDM-2014-0370) and the Russian Science Foundation (grant 18-11-00171).

Mathematical Modeling and Computational Predictions in Oncoimmunology

Vladimir A. Kuznetsov,Heiko Enderling,Mark Chaplain
Mathematical Modeling and Computational Predictions in Oncoimmunology Book PDF

Author : Vladimir A. Kuznetsov,Heiko Enderling,Mark Chaplain
Publisher : Frontiers Media SA
Page : 121 pages
File Size : 46,7 Mb
Release : 2024-06-06
Category : Medical
ISBN : 9782832550069

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Mathematical Modeling and Computational Predictions in Oncoimmunology by Vladimir A. Kuznetsov,Heiko Enderling,Mark Chaplain Pdf

Cancer is a complex adaptive dynamic system that causes both local and systemic failures in the patient. Cancer is caused by a number of gain-of-function and loss-of-function events, that lead to cells proliferating without control by the host organism over time. In cancer, the immune system modulates cancer cell population heterogeneity and plays a crucial role in disease outcomes. The immune system itself also generates multiple clones of different cell types, with some clones proliferating quickly and maturing into effector cells. By creating regulatory signals and their networks, and generating effector cells and molecules, the immune system recognizes and kills abnormal cells. Anti-cancer immune mechanisms are realized as multi-layer, nonlinear cellular and molecular interactions. A number of factors determine the outcome of immune system-tumor interactions, including cancer-associated antigens, immune cells, and host organisms.

Disease Dynamics

Alexander Asachenkov,Guri Marchuk,Ronald Mohler,Serge Zuev
Disease Dynamics Book PDF

Author : Alexander Asachenkov,Guri Marchuk,Ronald Mohler,Serge Zuev
Publisher : Springer Science & Business Media
Page : 344 pages
File Size : 45,8 Mb
Release : 1993-12-23
Category : Mathematics
ISBN : 0817636927

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Disease Dynamics by Alexander Asachenkov,Guri Marchuk,Ronald Mohler,Serge Zuev Pdf

This text discusses mathematical modelling, analysis and control of the immune system and disease dynamics. The purpose of the book is the practical application of mathematics to immunology and medicine in order to establish a basis for more effective treatment, to provide a tutorial systematic description of how the immune system controls diseases and to present several significant examples such as malignant tumour dynamics and control, and viral hepatitis.

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 : 40,8 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

Mathematical Oncology 2013

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

Author : Alberto d'Onofrio,Alberto Gandolfi
Publisher : Springer
Page : 336 pages
File Size : 43,7 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.

Cancer Modelling and Simulation

Luigi Preziosi
Cancer Modelling and Simulation Book PDF

Author : Luigi Preziosi
Publisher : CRC Press
Page : 456 pages
File Size : 49,6 Mb
Release : 2003-06-18
Category : Mathematics
ISBN : 020349489X

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Cancer Modelling and Simulation by Luigi Preziosi Pdf

Understanding how cancer tumours develop and spread is vital for finding treatments and cures. Cancer Modelling and Simulation demonstrates how mathematical modelling and computer simulation techniques are used to discover and gain insight into the dynamics of tumour development and growth. It highlights the benefits of tumour modelling, such as discovering optimal tumour therapy schedules, identifying the most promising candidates for further clinical investigation, and reducing the number of animal experiments. By examining the analytical, mathematical, and biological aspects of tumour growth and modelling, the book provides a common language and knowledge for professionals in several disciplines.

Understanding Complex Biological Systems with Mathematics

Ami Radunskaya,Rebecca Segal,Blerta Shtylla
Understanding Complex Biological Systems with Mathematics Book PDF

Author : Ami Radunskaya,Rebecca Segal,Blerta Shtylla
Publisher : Springer
Page : 198 pages
File Size : 51,9 Mb
Release : 2018-10-24
Category : Mathematics
ISBN : 9783319980836

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Understanding Complex Biological Systems with Mathematics by Ami Radunskaya,Rebecca Segal,Blerta Shtylla Pdf

This volume examines a variety of biological and medical problems using mathematical models to understand complex system dynamics. Featured topics include autism spectrum disorder, ectoparasites and allogrooming, argasid ticks dynamics, super-fast nematocyst firing, cancer-immune population dynamics, and the spread of disease through populations. Applications are investigated with mathematical models using a variety of techniques in ordinary and partial differential equations, difference equations, Markov-chain models, Monte-Carlo simulations, network theory, image analysis, and immersed boundary method. Each article offers a thorough explanation of the methodologies used and numerous tables and color illustrations to explain key results. This volume is suitable for graduate students and researchers interested in current applications of mathematical models in the biosciences. The research featured in this volume began among newly-formed collaborative groups at the 2017 Women Advancing Mathematical Biology Workshop that took place at the Mathematical Biosciences Institute in Columbus, Ohio. The groups spent one intensive week working at MBI and continued their collaborations after the workshop, resulting in the work presented in this volume.

Killer Cell Dynamics

Dominik Wodarz
Killer Cell Dynamics Book PDF

Author : Dominik Wodarz
Publisher : Springer Science & Business Media
Page : 226 pages
File Size : 45,5 Mb
Release : 2007-04-05
Category : Mathematics
ISBN : 9780387687339

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Killer Cell Dynamics by Dominik Wodarz Pdf

This book reviews how mathematical and computational approaches can be useful to help us understand how killer T-cell responses work to fight viral infections. It also demonstrates, in a writing style that exemplifies the point, that such mathematical and computational approaches are most valuable when coupled with experimental work through interdisciplinary collaborations. Designed to be useful to immunoligists and viroligists without extensive computational background, the book covers a broad variety of topics, including both basic immunological questions and the application of these insights to the understanding and treatment of pathogenic human diseases.

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 : 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.

Mathematical Models and Immune Cell Biology

Carmen Molina-París,Grant Lythe
Mathematical Models and Immune Cell Biology Book PDF

Author : Carmen Molina-París,Grant Lythe
Publisher : Springer Science & Business Media
Page : 413 pages
File Size : 41,9 Mb
Release : 2011-05-05
Category : Medical
ISBN : 9781441977250

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Mathematical Models and Immune Cell Biology by Carmen Molina-París,Grant Lythe Pdf

Whole new areas of immunological research are emerging from the analysis of experimental data, going beyond statistics and parameter estimation into what an applied mathematician would recognise as modelling of dynamical systems. Stochastic methods are increasingly important, because stochastic models are closer to the Brownian reality of the cellular and sub-cellular world.

Bioinformatics and Computational Biology

Sanguthevar Rajasekaran
Bioinformatics and Computational Biology Book PDF

Author : Sanguthevar Rajasekaran
Publisher : Springer
Page : 450 pages
File Size : 54,7 Mb
Release : 2009-04-22
Category : Science
ISBN : 9783642007279

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Bioinformatics and Computational Biology by Sanguthevar Rajasekaran Pdf

This book constitutes the refereed proceedings of the First International on Bioinformatics and Computational Biology, BICoB 2007, held in New Orleans, LA, USA, in April 2007. The 30 revised full papers presented together with 10 invited lectures were carefully reviewed and selected from 72 initial submissions. The papers address current research in the area of bioinformatics and computational biology fostering the advancement of computing techniques and their application to life sciences in topics such as genome analysis sequence analysis, phylogenetics, structural bioinformatics, analysis of high-throughput biological data, genetics and population analysis, as well as systems biology.

Mathematical Modelling of Immune Response in Infectious Diseases

Guri I. Marchuk
Mathematical Modelling of Immune Response in Infectious Diseases Book PDF

Author : Guri I. Marchuk
Publisher : Springer Science & Business Media
Page : 356 pages
File Size : 51,6 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9789401587983

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Mathematical Modelling of Immune Response in Infectious Diseases by Guri I. Marchuk Pdf

Beginning his work on the monograph to be published in English, this author tried to present more or less general notions of the possibilities of mathematics in the new and rapidly developing science of infectious immunology, describing the processes of an organism's defence against antigen invasions. The results presented in this monograph are based on the construc tion and application of closed models of immune response to infections which makes it possible to approach problems of optimizing the treat ment of chronic and hypertoxic forms of diseases. The author, being a mathematician, had creative long-Iasting con tacts with immunologists, geneticist, biologists, and clinicians. As far back as 1976 it resulted in the organization of a special seminar in the Computing Center of Siberian Branch of the USSR Academy of Sci ences on mathematical models in immunology. The seminar attracted the attention of a wide circle of leading specialists in various fields of science. All these made it possible to approach, from a more or less united stand point, the construction of models of immune response, the mathematical description of the models, and interpretation of results.