Mathematical Modeling Of Drug Cross Resistance In Cancer
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Mathematical Modeling Of Drug Cross Resistance In Cancer
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Author : Allen Ali Katouli
language : en
Publisher:
Release Date : 2009
Mathematical Modeling Of Drug Cross Resistance In Cancer written by Allen Ali Katouli and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.
One of the biggest challenges in treatment of cancer is the emergence of drug-resistant mutants during therapy. Combining several drugs may increase chances of treatment success, by reducing the probability of production of fully-resistant cells. Sometimes, one mutation can confer resistance to more than one drug. For example, there are currently three drugs available for treating Chronic Myeloid Leukemia (CML); however, the mutant T315I confers resistance to all three drugs; this is known as cross-resistance. We develop a stochastic model to study various treatments regimes, such as cyclical and combination treatment in presence and absence of cross-resistance. The microevolution of tumor is described by means of a linear birth-death process with mutations. The first-order linear partial differential equation for the probability generating function can be solved using the method of characteristics. The coefficients in the resulting equations are time-dependent quantities which reflect different treatment strategies. Also, ordinary differential equations for the average numbers of mutants of different types are formulated and analyzed. Our studies are divided into three chapters. (i) In the first chapter, we develop the stochastic model for drug resistance in cancer with the inclusion of cross-resistance and show that there is no advantage in combining more than two cross-resistant drugs. (ii) In the second chapter, we extend Roger Day's work on two-drug cyclic treatment, and in particular, we revisit the famous "worst drug rule", by including cross-resistance and using a more systematic methodology. We find that in most circumstances, it is advantageous to start treatment with the better drug, but use the worse drug for longer durations. (iii) In chapter 3, we apply the theory to existing, in vitro, data on mutant outgrowth in CML cancer cells. We find that combinations of different numbers of drugs with specific concentrations can give similar treatment outcomes. From this, we produce a counting and sorting technique that may be performed on any future inhibitors to find the best treatment options, maximizing the success rate of the treatment while minimizing the number and concentrations of the drugs.
Mathematical Modeling Of Drug Resistance And Cancer Stem Cells Dynamics
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Author : Cristian Tomasetti
language : en
Publisher:
Release Date : 2010
Mathematical Modeling Of Drug Resistance And Cancer Stem Cells Dynamics written by Cristian Tomasetti and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
Mechanisms Of Drug Resistance In Neoplastic Cells
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Author : Paul V. Woolley
language : en
Publisher: Elsevier
Release Date : 2013-10-22
Mechanisms Of Drug Resistance In Neoplastic Cells written by Paul V. Woolley and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Medical categories.
Bristol-Myers Cancer Symposia, Volume 9: Mechanisms of Drug Resistance in Neoplastic Cells provides information on both basic scientific and clinical studies on the causes and implications of tumor cell resistance to common antineoplastic agents. The book describes the colon cancer as a model for resistance to antineoplastic drugs; mathematical modeling of drug resistance; and the mechanism of induced gene amplification in mammalian cells. The text also discusses the cellular concomitants of multidrug resistance; resistance to alkylating agents; and the phosphoprotein and protein kinase C changes in human multidrug-resistant cancer cells. Novel drugs that affect glutathione metabolism; the regulation of genes encoding drug-metabolizing enzymes in normal and preneoplastic tissues; and the relevance of glutathione S-transferases to anticancer drug resistance are also considered. The book further tackles the cellular resistance to cyclophosphamide; the preclinical and clinical experiences with drug combinations designed to inhibit DNA repair in resistant human tumor cells; and the modification of the cytotoxicity of DNA-directed chemotherapeutic agents by polyamine depletion. The text also demonstrates multidrug resistance and the circumvention of resistance. Oncologists, molecular biologists, biochemists, geneticists, and pharmacologists will find the book invaluable.
Mathematical Modelling In The Scheduling Of Cancer Chemotherapy Treatment When Drug Resistance Is Present
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Author : Dean Henderson
language : en
Publisher:
Release Date : 1997
Mathematical Modelling In The Scheduling Of Cancer Chemotherapy Treatment When Drug Resistance Is Present written by Dean Henderson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
Targeted Cancer Treatment In Silico
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Author : Natalia L. Komarova
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-19
Targeted Cancer Treatment In Silico written by Natalia L. Komarova and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-19 with Mathematics categories.
Countless medical researchers over the past century have been occupied by the search for a cure of cancer. So far, they have developed and implemented a wide range of treatment techniques, including surgery, chemo- and radiotherapy, antiangiogenic drugs, small molecule inhibitors, and oncolytic viruses. However, patterns of these treatments' effectiveness remain largely unclear, and a better understanding of how cancer therapies work has become a key research goal. Cancer Treatment in Silico provides the first in-depth study of approaching this understanding by modeling cancer treatments, both mathematically and through computer simulations. The main goal of this book is to help expose students and researchers to in silico methods of studying cancer. It is intended for both the applied mathematics and experimental oncology communities, as mathematical models are playing an increasingly important role to supplement laboratory biology in the fight against cancer. Written at a level that generally requires little technical background, the work will be a valuable resource for scientists and students alike.
Mathematical Models Of Tumor Immune System Dynamics
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Author : Amina Eladdadi
language : en
Publisher: Springer
Release Date : 2014-11-06
Mathematical Models Of Tumor Immune System Dynamics written by Amina Eladdadi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-06 with Mathematics categories.
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.
Drug Resistance In Cancer
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Author : James H. Goldie
language : en
Publisher:
Release Date : 1998-10-08
Drug Resistance In Cancer written by James H. Goldie and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-10-08 with Medical categories.
An accessible and sophisticated account of the biological mechanisms of drug resistance in cancer and their mathematical modelling.
Mathematical Modeling Of Drug Resistance Evolution
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Author : Uri Obolski
language : en
Publisher:
Release Date : 2016
Mathematical Modeling Of Drug Resistance Evolution written by Uri Obolski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with categories.
The New Science Of Mathematical Oncology
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Author : Applied Research Applied Research Press
language : en
Publisher:
Release Date : 2015-11-09
The New Science Of Mathematical Oncology written by Applied Research Applied Research Press and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-09 with categories.
This article collection reviews key developments in the new science of mathematical oncology and includes 20 open access research papers by various authors. Topics include: The evolutionary impact of androgen levels on prostate cancer in a multi-scale mathematical model; Cancer as a metabolic disease; Using mathematical models to understand metabolism, genes, and disease; Plausibility of stromal initiation of epithelial cancers without a mutation in the epithelium: a computer simulation of morphostats; Mathematical models for translational and clinical oncology; The hierarchical organization of natural protein interaction networks confers self-organization properties on pseudocells; A 3D multiscale model of cancer stem cell in tumor development; Immunoediting: evidence of the multifaceted role of the immune system in self-metastatic tumor growth; Theoretical aspects and modelling of cellular decision making, cell killing and information processing in photodynamic therapy of cancer; Non-stem cancer cell kinetics modulate solid tumor progression; Set theoretical and algebraic model for redundancies in the genetic code; Natural resistance to cancers: a Darwinian hypothesis to explain Peto's paradox; Mathematical and computational modeling in biology at multiple scales; A theoretical quantitative model for evolution of cancer chemotherapy resistance; Proton dynamics in cancer; A multiscale systems perspective on cancer, immunotherapy, and Interleukin-12; Cancer progression modeling using static sample data; Organoid modeling for cancer precision medicine; Multi-scale agent-based brain cancer modeling and prediction of TKI treatment response: Incorporating EGFR signaling pathway and angiogenesis; Prediction of signaling cross-talks contributing to acquired drug resistance in breast cancer cells by Bayesian statistical modeling.
Optimal Control Of Drug Administration In Cancer Chemotherapy
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Author : Rory Martin
language : en
Publisher: World Scientific
Release Date : 1994
Optimal Control Of Drug Administration In Cancer Chemotherapy written by Rory Martin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Medical categories.
This monograph is a study of optimal control applied to cancer chemotherapy, the treatment of cancer using drugs that kill cancer cells. The aim is to determine whether current methods for the administration of chemotherapy are optimal, and if alternative regimens should be considered.The research utilizes the mathematical theory of optimal control, an active research area for many mathematicians, scientists, and engineers. It is of multidisciplinary nature, having been applied to areas ranging from engineering to biomedicine. The aim in optimal control is to achieve a given objective at minimum cost. A set of differential equations is used to describe the evolution in time of the process being modelled, and constraints limit the policies that can be used to attain the objective.In this monograph, mathematical models are used to construct optimal drug schedules. These are treatment guidelines specifying which drug to deliver, when, and at what dose. Many current drug schedules have been derived empirically, based upon ?rules of thumb?.The monograph has been structured so that most of the high-level mathematics is introduced in a special appendix. In this way, a scientist can skip the more subtle aspects of the theory and still understand the biomedical applications that follow. However, the text is self-contained so that a deeper understanding of the mathematics of optimal control can be gained from the mathematical appendix.The mathematical models in this book and the associated computer simulations show that low intensity chemotherapy is a better choice of treatment than high intensity chemotherapy, under certain conditions.