Ode Pde Analysis Of Multiple Myeloma

Author : William E. Schiesser
Publisher : CRC Press
Page : 127 pages
File Size : 43,7 Mb
Release : 2020-05-28
Category : Mathematics
ISBN : 9781000057270

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ODE/PDE Analysis of Multiple Myeloma by William E. Schiesser Pdf

Multiple myeloma is a form of bone cancer. Specifically, it is a cancer of the plasma cells found in bone marrow (bone soft tissue). Normal plasma cells are an important part of the immune system. Mathematical models for multiple myeloma based on ordinary and partial differential equations (ODE/PDEs) are presented in this book, starting with a basic ODE model in Chapter 1, and concluding with a detailed ODE/PDE model in Chapter 4 that gives the spatiotemporal distribution of four dependent variable components in the bone marrow and peripheral blood: (1) protein produced by multiple myeloma cells, termed the M protein, (2) cytotoxic T lymphocytes (CTLs), (3) natural killer (NK) cells, and (4) regulatory T cells (Tregs). The computer-based implementation of the example models is presented through routines coded (programmed) in R, a quality, open-source scientific computing system that is readily available from the Internet. Formal mathematics is minimized, e.g., no theorems and proofs. Rather, the presentation is through detailed examples that the reader/researcher/analyst can execute on modest computers using the R routines that are available through a download. The PDE analysis is based on the method of lines (MOL), an established general algorithm for PDEs, implemented with finite differences.

Author : William E Schiesser
Publisher : CRC Press
Page : 148 pages
File Size : 45,8 Mb
Release : 2020-06-19
Category : Electronic
ISBN : 0367495511

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ODE/PDE Analysis of Multiple Myeloma by William E Schiesser Pdf

Multiple myeloma is a form of bone cancer. Specifically, it is a cancer of the plasma cells found in bone marrow (bone soft tissue). Normal plasma cells are an important part of the immune system. Mathematical models for multiple myeloma based on ordinary and partial differential equations (ODE/PDEs) are presented in this book, starting with a basic ODE model in Chapter 1, and concluding with a detailed ODE/PDE model in Chapter 4 that gives the spatiotemporal distribution of four dependent variable components in the bone marrow and peripheral blood: (1) protein produced by multiple myeloma cells, termed the M protein, (2) cytotoxic T lymphocytes (CTLs), (3) natural killer (NK) cells, and (4) regulatory T cells (Tregs). The computer-based implementation of the example models is presented through routines coded (programmed) in R, a quality, open-source scientific computing system that is readily available from the Internet. Formal mathematics is minimized, e.g., no theorems and proofs. Rather, the presentation is through detailed examples that the reader/researcher/analyst can execute on modest computers using the R routines that are available through a download. The PDE analysis is based on the method of lines (MOL), an established general algorithm for PDEs, implemented with finite differences.

Author : Klaus Podar,Kenneth C. Anderson
Publisher : Bentham Science Publishers
Page : 217 pages
File Size : 50,8 Mb
Release : 2012-01-03
Category : Medical
ISBN : 9781608052974

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Multiple Myeloma - A New Era of Treatment Strategies by Klaus Podar,Kenneth C. Anderson Pdf

"Multiple Myeloma (MM), the second most common blood cancer in adults, is a clonal plasma cell malignancy within the bone marrow characterized by osteolytic bone lesions, renal disease, and immunodeficiency. It is now well established that MM cell- induced"

Author : Ota Fuchs
Publisher : BoD – Books on Demand
Page : 128 pages
File Size : 41,9 Mb
Release : 2021-07-28
Category : Medical
ISBN : 9781839686207

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Multiple Myeloma by Ota Fuchs Pdf

This book deals with the diagnosis and treatment of multiple myeloma. Multiple myeloma is a plasma cell disorder, the prognosis of which has dramatically improved in the last years thanks to new immunomodulatory drugs, proteasome inhibitors, and monoclonal antibodies, in relapsed/refractory disease and a diagnosis. Chapters cover such topics as prognostic and predictive factors in newly diagnosed multiple myeloma, treatment approaches, antibody therapies, and three-dimensional (3D) models mimicking multiple myeloma bone marrow–microenvironment interactions.

Author : Sics Editore
Publisher : SICS Editore
Page : 38 pages
File Size : 45,8 Mb
Release : 2014-10-01
Category : Medical
ISBN : 9788869303258

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Multiple myeloma (MM) by Sics Editore Pdf

Affects primarily middle-aged and elderly patients.Recognize complications that require prompt intervention.A symptomless patient is usually not treated, whereas a symptomatic patient is actively treated.

Author : Anonim
Publisher : ScholarlyEditions
Page : 112 pages
File Size : 49,6 Mb
Release : 2012-01-09
Category : Medical
ISBN : 9781464902239

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Multiple Myeloma: New Insights for the Healthcare Professional: 2011 Edition by Anonim Pdf

Multiple Myeloma: New Insights for the Healthcare Professional: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Multiple Myeloma. The editors have built Multiple Myeloma: New Insights for the Healthcare Professional: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Multiple Myeloma in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Multiple Myeloma: New Insights for the Healthcare Professional: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Author : Ravi Vij
Publisher : JAYPEE BROTHERS MEDICAL PUBLISHERS PVT. LTD.
Page : 227 pages
File Size : 46,6 Mb
Release : 2012-12-15
Category : Medical
ISBN : 9789350905449

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Contemporary Management of Multiple Myeloma by Ravi Vij Pdf

This book "Contemporary Management of Multiple Myeloma" discusses in detail about the management of multiple myeloma. Multiple Myeloma is the second most common hematological malignancy in the United States. This book highlights the interplay between the malignant plasma cell and the microenvironment, and the role of genetic alterations, adhesion molecules and critical cytokines in this complex milieu. The first chapter of this book discusses epidemiology, etiology and pathogenesis of multiple myeloma. The clinical presentation of the common plasma cell dyscrasias and discuss the diagnostic and prognostic work-up with a highlighting on recent advances in chapters 3 and 4. Chapters from 5 to 9 focus on the therapeutic evolution that has occurred, and accumulate the landmark clinical trials that have changed clinical practice for up-front treatment of both transplant eligible and ineligible patients and for those with relapsed and refractory disease. These chapters also highlights on the important role of clinical research with stem cell transplantation, proteasome-inhibition and immunomodulatory drugs that form the backbone of our present day therapeutic armamentarium. Recommendations for response assessment and current understanding of the value of maximizing the depth of response in personalized therapy and patient segmentation are briefly explained in chapters 10 and 11. Chapter 12 and 13 discussed about adjunctive treatment modalities and novel therapeutic compounds in clinical trial and targets for future drug development. This book provides complete information about current landscape for multiple myeloma which is helpful in future aspects.

Author : Gosta Gahrton,Brian Durie,Diana Samson
Publisher : CRC Press
Page : 489 pages
File Size : 46,7 Mb
Release : 2004-04-30
Category : Medical
ISBN : 9780340810101

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Multiple Myeloma and Related Disorders by Gosta Gahrton,Brian Durie,Diana Samson Pdf

During the past decade there has been an enormous increase in knowledge of multiple myeloma and related disorders, reflected in the publication of more than 5000 articles on the subject in scientific journals. Much of this has come about as new technologies have made it possible to refine studies on chromosomes and genes and to gain information about gene expression. It is therefore highly appropriate that this new comprehensive reference should appear at this time. The book covers the whole field of multiple myeloma, and also related diseases such as Waldemstr&öm&’s macroglobulinaemia, and incorporates both the basic science underlying the diseases and their clinical management. Each chapter has been written to &’stand alone&’, allowing the reader to dip into a particular subject and find information quickly without the need to browse through multiple chapters. In addition to the developments described above, all of which are considered here, many other approaches to targeted therapy are reviewed.

Author : Morie A. Gertz,S. Vincent Rajkumar
Publisher : Springer Science & Business Media
Page : 311 pages
File Size : 54,7 Mb
Release : 2013-10-01
Category : Medical
ISBN : 9781461485209

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Multiple Myeloma by Morie A. Gertz,S. Vincent Rajkumar Pdf

This is a comprehensive, state-of-the-art guide to the diagnosis, treatment, and biology of multiple myeloma and related plasma disorders. Edited and written by a multidisciplinary group of recognized authorities from the Mayo Clinic, it presents clear guidelines on diagnosis and therapy and covers all aspects of multiple myeloma, from molecular classification and diagnosis, to risk stratification and therapy. Closely related plasma cell disorders such as solitary plasmacytoma, Waldenstrom macroglobulinemia, and light chain amyloidosis are discussed in detail as well. The book addresses often overlooked topics, including the role of radiation therapy, vertebral augmentation, and supportive care. Our understanding of this group of disorders is developing at an unprecedented rate, and Multiple Myeloma meets the need among oncologists and hematologists for a clear, timely, and authoritative resource on their biology, diagnosis, and treatment.

Author : Ken Campbell (FIBMS.)
Publisher : Unknown
Page : 32 pages
File Size : 46,5 Mb
Release : 2005
Category : Multiple myeloma
ISBN : OCLC:60808850

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Multiple myeloma (MM) by Ken Campbell (FIBMS.) Pdf

Author : Adriena Sakalová
Publisher : Unknown
Page : 173 pages
File Size : 42,9 Mb
Release : 1995
Category : Electronic
ISBN : 8085665522

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Multiple Myeloma and Paraproteinemias by Adriena Sakalová Pdf

Author : Wan Frederic Y M
Publisher : World Scientific
Page : 476 pages
File Size : 43,6 Mb
Release : 2019-08-29
Category : Mathematics
ISBN : 9789813274624

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Stochastic Models In The Life Sciences And Their Methods Of Analysis by Wan Frederic Y M Pdf

Biological processes are evolutionary in nature and often evolve in a noisy environment or in the presence of uncertainty. Such evolving phenomena are necessarily modeled mathematically by stochastic differential/difference equations (SDE), which have been recognized as essential for a true understanding of many biological phenomena. Yet, there is a dearth of teaching material in this area for interested students and researchers, notwithstanding the addition of some recent texts on stochastic modelling in the life sciences. The reason may well be the demanding mathematical pre-requisites needed to 'solve' SDE.A principal goal of this volume is to provide a working knowledge of SDE based on the premise that familiarity with the basic elements of a stochastic calculus for random processes is unavoidable. Through some SDE models of familiar biological phenomena, we show how stochastic methods developed for other areas of science and engineering are also useful in the life sciences. In the process, the volume introduces to biologists a collection of analytical and computational methods for research and applications in this emerging area of life science. The additions broaden the available tools for SDE models for biologists that have been limited by and large to stochastic simulations.

Author : Antonio Fasano,Adélia Sequeira
Publisher : Springer
Page : 340 pages
File Size : 55,6 Mb
Release : 2017-10-30
Category : Mathematics
ISBN : 9783319605135

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Hemomath by Antonio Fasano,Adélia Sequeira Pdf

This book illustrates applications of mathematics to various processes (physiological or artificial) involving flowing blood, including hemorheology, microcirculation, coagulation, kidney filtration and dialysis, offering a historical overview of each topic. Mathematical models are used to simulate processes normally occurring in flowing blood and to predict the effects of dysfunctions (e.g. bleeding disorders, renal failure), as well as the effects of therapies with an eye to improving treatments. Most of the models have a completely new approach that makes patient-specific simulations possible. The book is mainly intended for mathematicians interested in medical applications, but it is also useful for clinicians such as hematologists, nephrologists, cardio-surgeons, and bioengineers. Some parts require no specific knowledge of mathematics. The book is a valuable addition to mathematics, medical, biology, and bioengineering libraries.

Author : Regina Padmanabhan,Nader Meskin,Ala-Eddin Al Moustafa
Publisher : Springer Nature
Page : 256 pages
File Size : 52,6 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 : William E. Schiesser
Publisher : Springer Nature
Page : 97 pages
File Size : 55,7 Mb
Release : 2022-05-31
Category : Technology & Engineering
ISBN : 9783031016653

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Spatiotemporal Modeling of Influenza by William E. Schiesser Pdf

This book has a two-fold purpose: (1) An introduction to the computer-based modeling of influenza, a continuing major worldwide communicable disease. (2) The use of (1) as an illustration of a methodology for the computer-based modeling of communicable diseases. For the purposes of (1) and (2), a basic influenza model is formulated as a system of partial differential equations (PDEs) that define the spatiotemporal evolution of four populations: susceptibles, untreated and treated infecteds, and recovereds. The requirements of a well-posed PDE model are considered, including the initial and boundary conditions. The terms of the PDEs are explained. The computer implementation of the model is illustrated with a detailed line-by-line explanation of a system of routines in R (a quality, open-source scientific computing system that is readily available from the Internet). The R routines demonstrate the straightforward numerical solution of a system of nonlinear PDEs by the method of lines (MOL), an established general algorithm for PDEs. The presentation of the PDE modeling methodology is introductory with a minumum of formal mathematics (no theorems and proofs), and with emphasis on example applications. The intent of the book is to assist in the initial understanding and use of PDE mathematical modeling of communicable diseases, and the explanation and interpretation of the computed model solutions, as illustrated with the influenza model.