A Study On Mathematical Models For The Effect Of Different Therapies And Combination Of Therapies In Cancer Treatments
DOWNLOAD
Download A Study On Mathematical Models For The Effect Of Different Therapies And Combination Of Therapies In Cancer Treatments PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get A Study On Mathematical Models For The Effect Of Different Therapies And Combination Of Therapies In Cancer Treatments book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
A Study On Mathematical Models For The Effect Of Different Therapies And Combination Of Therapies In Cancer Treatments
DOWNLOAD
Author : Lalitha R
language : en
Publisher: Independent Author
Release Date : 2023-03-31
A Study On Mathematical Models For The Effect Of Different Therapies And Combination Of Therapies In Cancer Treatments written by Lalitha R and has been published by Independent Author this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-31 with categories.
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.
Mathematical Models Of Cancer And Different Therapies
DOWNLOAD
Author : Regina Padmanabhan
language : en
Publisher: Springer Nature
Release Date : 2020-10-31
Mathematical Models Of Cancer And Different Therapies written by Regina Padmanabhan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-31 with Technology & Engineering categories.
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.
Optimal Control For Mathematical Models Of Cancer Therapies
DOWNLOAD
Author : Heinz Schättler
language : en
Publisher: Springer
Release Date : 2015-09-15
Optimal Control For Mathematical Models Of Cancer Therapies written by Heinz Schättler and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-15 with Mathematics categories.
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.
Mathematical Modeling And Computational Predictions In Oncoimmunology
DOWNLOAD
Author : Vladimir A. Kuznetsov
language : en
Publisher: Frontiers Media SA
Release Date : 2024-06-06
Mathematical Modeling And Computational Predictions In Oncoimmunology written by Vladimir A. Kuznetsov and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-06 with Medical categories.
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.
An Introduction To Physical Oncology
DOWNLOAD
Author : Vittorio Cristini
language : en
Publisher: CRC Press
Release Date : 2017-06-26
An Introduction To Physical Oncology written by Vittorio Cristini and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-26 with Mathematics categories.
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.
Clinical Therapeutic Development Against Cancers Resistant To Targeted Therapies
DOWNLOAD
Author : Caiyun Fu
language : en
Publisher: Frontiers Media SA
Release Date : 2022-02-18
Clinical Therapeutic Development Against Cancers Resistant To Targeted Therapies written by Caiyun Fu and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-18 with Science categories.
Mathematics And Computer Science Volume 2
DOWNLOAD
Author : Sharmistha Ghosh
language : en
Publisher: John Wiley & Sons
Release Date : 2023-07-13
Mathematics And Computer Science Volume 2 written by Sharmistha Ghosh and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-13 with Mathematics categories.
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.
Heterogeneity In Breast Cancer Clinical And Therapeutic Implications
DOWNLOAD
Author : Anna Diana
language : en
Publisher: Frontiers Media SA
Release Date : 2024-02-29
Heterogeneity In Breast Cancer Clinical And Therapeutic Implications written by Anna Diana and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-29 with Medical categories.
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).
Subject Index Of Current Extramural Research Administered By The National Cancer Institute
DOWNLOAD
Author : National Cancer Institute (U.S.)
language : en
Publisher:
Release Date : 1976
Subject Index Of Current Extramural Research Administered By The National Cancer Institute written by National Cancer Institute (U.S.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Cancer categories.
Provides information concerning research grants and contracts supported by the National Cancer Institute.
Cancer Treatment Reports
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1986
Cancer Treatment Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Cancer categories.