A Study On Mathematical Models For The Effect Of Different Therapies And Combination Of Therapies In Cancer Treatments

Author : Lalitha R
Publisher : Independent Author
Page : 0 pages
File Size : 46,5 Mb
Release : 2023-03-31
Category : Electronic
ISBN : 1805251961

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A Study On Mathematical Models For The Effect Of Different Therapies And Combination Of Therapies In Cancer Treatments by Lalitha R Pdf

Mathematical modeling is a great tool in the medical field. Mathematical models help to simulate the dynamics of complex systems. Dynamic models typically are represented by differential equations. Mathematical models are used everywhere in cancer research. The number of cancer cells in a tumor is not easy to calculate due to continuous changes in time. So may have to calculate with the help of differential equations easily. Challenge of mathematical modeling is to produce simplest possible model. Many of the researchers developed mathematical models that identify the most effective chemotherapeutic administration regimens using optimization and control techniques. In 1962 L.S. Pontryagin, etal. was developed the model for optimal control. A. Lotka and R. Fisher has been developed the mathematical theory life history evolution in 1970s. Panetta was developed an effective model for heterogeneous tumor and chemotherapeutic drug action in 1996. A.J.Coldman and J.M.Murray was developed the stochastic model of cancer treatment in 2000. L.G. de Pillis, etal. developed the system of ODE for variety of cancers and different treatments in between 2000 to 2013. In recent years so many authors developed them new models based on the above author's research. In recent years most of the people were affected by different types of cancer. Some type of cancer is the curable disease when we detect in early stage. Rare type of cancer is the not fully curable disease but to controls the tumor growth and gives assumption of survival for some years. There are different types of treatments are available according to their stage of the disease. Stages were defined from their tumor size and disease spreading position of their disease. Main treatments of cancers are Surgery, Chemotherapy, Radiation therapy, Immunotherapy, Gene therapy and Hormone therapy. Mathematical modeling of tumor dynamics and treatment responses can be applied to identify better drug administration regimes. Using mathematical model for tumor growth and cancer treatments we can reduce the tumor size. Now everyone must know about types of cancer and correct treatments for that. So select this area and developed the mathematical models for tumor dynamics and combinations of treatments. Collected the breast and colorectal cancer patient's details and fitted to our model then reduced the tumor burden. Also have find that which type of drug combinations are used for colorectal cancer and breast cancer treatments. Here we used Mathematical Tools are Differential Equation, Ordinary Differential Equation (ODE), Formulation of differential equation, Growth model, optimal control, Equilibrium and Stability Analysis in ODE.

Author : Vittorio Cristini,Eugene Koay,Zhihui Wang
Publisher : CRC Press
Page : 303 pages
File Size : 48,5 Mb
Release : 2017-06-26
Category : Mathematics
ISBN : 9781315356884

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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.

Author : Heinz Schättler,Urszula Ledzewicz
Publisher : Springer
Page : 496 pages
File Size : 47,8 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.

Author : Regina Padmanabhan,Nader Meskin,Ala-Eddin Al Moustafa
Publisher : Springer Nature
Page : 256 pages
File Size : 53,8 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.

Author : Vladimir A. Kuznetsov,Heiko Enderling,Mark Chaplain
Publisher : Frontiers Media SA
Page : 121 pages
File Size : 52,5 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.

Author : Caiyun Fu,Yongchuan Gu,Hong Zhu,Wen Zhou,Fanfan Zhou
Publisher : Frontiers Media SA
Page : 339 pages
File Size : 41,5 Mb
Release : 2022-02-18
Category : Science
ISBN : 9782889744282

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Clinical Therapeutic Development Against Cancers Resistant to Targeted Therapies by Caiyun Fu,Yongchuan Gu,Hong Zhu,Wen Zhou,Fanfan Zhou Pdf

Author : Sharmistha Ghosh,M. Niranjanamurthy,Krishanu Deyasi,Biswadip Basu Mallik,Santanu Das
Publisher : John Wiley & Sons
Page : 436 pages
File Size : 53,7 Mb
Release : 2023-07-13
Category : Mathematics
ISBN : 9781119896692

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Mathematics and Computer Science, Volume 2 by Sharmistha Ghosh,M. Niranjanamurthy,Krishanu Deyasi,Biswadip Basu Mallik,Santanu Das Pdf

MATHEMATICS AND COMPUTER SCIENCE This second volume in a new multi-volume set builds on the basic concepts and fundamentals laid out in the previous volume, presenting the reader with more advanced and cutting-edge topics being developed in this exciting field. This second volume in a new series from Wiley-Scrivener is the first of its kind to present scientific and technological innovations by leading academicians, eminent researchers, and experts around the world in the areas of mathematical sciences and computing. Building on what was presented in volume one, the chapters focus on more advanced topics in computer science, mathematics, and where the two intersect to create value for end users through practical applications. The chapters herein cover scientific advancements across a diversified spectrum that includes differential as well as integral equations with applications, computational fluid dynamics, nanofluids, network theory and optimization, control theory, machine learning and artificial intelligence, big data analytics, Internet of Things, cryptography, fuzzy automata, statistics, and many more. Readers of this book will get access to diverse ideas and innovations in the field of computing together with its growing interactions in various fields of mathematics. Whether for the engineer, scientist, student, academic, or other industry professional, this is a must-have for any library.

Author : Anna Diana,Cinzia Solinas,Benedetta Pellegrino
Publisher : Frontiers Media SA
Page : 216 pages
File Size : 55,5 Mb
Release : 2024-02-29
Category : Medical
ISBN : 9782832537923

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Heterogeneity in Breast Cancer: Clinical and Therapeutic Implications by Anna Diana,Cinzia Solinas,Benedetta Pellegrino Pdf

Breast cancer is a highly heterogeneous disease. Despite advances in early detection and treatment, breast cancer (BC) is the leading cause of cancer death in women worldwide. Heterogeneity negatively affects a patient’s prognosis, treatment sensitivity, and clinical outcome. In particular, the development of drug resistance mechanisms and the failure of anticancer drugs (initially or subsequently) could lie in the heterogeneity among BC patients and tumors. The major international guidelines have adopted an immunophenotypic sub-classification of BC to maximize patient eligibility for personalized therapy but do not take into account the extreme diversity existing between breast tumors (intratumor heterogeneity).

Author : National Cancer Institute (U.S.)
Publisher : Unknown
Page : 684 pages
File Size : 42,9 Mb
Release : 1976
Category : Cancer
ISBN : UOM:39015010012683

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Subject Index of Current Extramural Research Administered by the National Cancer Institute by National Cancer Institute (U.S.) Pdf

Provides information concerning research grants and contracts supported by the National Cancer Institute.

Author : Anonim
Publisher : Unknown
Page : 846 pages
File Size : 51,7 Mb
Release : 1986
Category : Cancer
ISBN : RUTGERS:44008000029174

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Cancer Treatment Reports by Anonim Pdf

Author : Abba B. Gumel,Carlos Castillo-Chávez,Ronald E. Mickens,Dominic P. Clemence
Publisher : American Mathematical Soc.
Page : 406 pages
File Size : 40,7 Mb
Release : 2006
Category : Diseases
ISBN : 9780821837757

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Mathematical Studies on Human Disease Dynamics by Abba B. Gumel,Carlos Castillo-Chávez,Ronald E. Mickens,Dominic P. Clemence Pdf

This volume contains the proceedings of the AMS-SIAM-IMS Joint Summer Research Conference on Modeling the Dynamics of Human Diseases: Emerging Paradigms and Challenges, held in Snowbird, Utah, July 17-21, 2005. The goal of the conference was to bring together leading and upcoming researchers to discuss the latest advances and challenges associated with the modeling of the dynamics of emerging and re-emerging diseases, and to explore various control strategies. The articles included in this book are devoted to some of the significant recent advances, trends, and challenges associated with the mathematical modeling and analysis of the dynamics and control of some diseases of public health importance. In addition to illustrating many of the diverse prevailing epidemiological challenges, together with the diversity of mathematical approaches needed to address them, this book provides insights on a number of topical modeling issues such as the modeling and control of mosquito-borne diseases, respiratory diseases, animal diseases (such as foot-and-mouth disease), cancer and tumor growth modeling, influenza, HIV, HPV, rotavirus, etc. This book also touches upon other important topics such as the use of modeling i

Author : Doron Levy,George Bebis,Russell C. Rockne,Ernesto Augusto Bueno Da Fonseca Lima,Katharina Jahn,Panayiotis V. Benos
Publisher : Frontiers Media SA
Page : 337 pages
File Size : 45,5 Mb
Release : 2022-05-05
Category : Science
ISBN : 9782889741786

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Advances in Mathematical and Computational Oncology by Doron Levy,George Bebis,Russell C. Rockne,Ernesto Augusto Bueno Da Fonseca Lima,Katharina Jahn,Panayiotis V. Benos Pdf

Author : João P. Belfo,João M. Lemos
Publisher : Springer Nature
Page : 108 pages
File Size : 40,8 Mb
Release : 2020-06-19
Category : Technology & Engineering
ISBN : 9783030504885

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Optimal Impulsive Control for Cancer Therapy by João P. Belfo,João M. Lemos Pdf

This Springer brief discusses the use of control engineering methods to plan a cancer therapy which tends to reduce tumour size in patients, striking a balance that minimizes the toxic effects of the treatment. The authors address the design and computation of impulsive control therapies, a methodology previously underexplored in the application of control methods to medical modelling. This allows simulation of such discrete events as taking a pill rather than relying on the supply of therapy being continuous and steady. The book begins with an introduction to the topic, before moving onto pharmacokinetic, pharmacodynamical and tumour-growth models and explaining how they describe the relationship between a certain therapy plan and the evolution of cancer. This is placed firmly in the context of work introducing impulsive differential equations. The final chapter summarizes the research presented and suggests future areas of research to encourage readers in taking the subject forward. This book is of interest to biomedical engineers, researchers and students, particularly those with a background in systems and control engineering.

Author : Anonim
Publisher : Unknown
Page : 1380 pages
File Size : 49,9 Mb
Release : 1977
Category : Medicine
ISBN : MINN:30000008789137

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Research Awards Index by Anonim Pdf

Author : National Institutes of Health (U.S.). Division of Research Grants
Publisher : Unknown
Page : 1212 pages
File Size : 47,8 Mb
Release : 1975
Category : Medicine
ISBN : UOM:39015072175394

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Research Grants Index by National Institutes of Health (U.S.). Division of Research Grants Pdf