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ODE/PDE analysis of multiple myeloma : programming in R /

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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...

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Bibliographic Details
Main Author: Schiesser, W. E. (Author)
Corporate Author: Taylor & Francis
Format: eBook
Language:English
Published: Boca Raton, FL : CRC Press, 2020.
Edition:First edition.
Subjects:
Multiple myeloma > Mathematical models.
Numerical analysis > Computer programs.
R (Computer program language)
Multiple myeloma.
Mathematical models.
Multiple Myeloma
Numerical Analysis, Computer-Assisted
Models, Theoretical
Myélome multiple > Modèles mathématiques.
R (Langage de programmation)
Myélome multiple.
Modèles mathématiques.
mathematical models.
MATHEMATICS > Applied.
MEDICAL > Biotechnology.
Multiple myeloma
Mathematical models
Numerical analysis > Computer programs
Electronic books.
Online Access:Connect to the full text of this electronic book
Description
Summary: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.
Physical Description:1 online resource (xi, 135 pages)
Bibliography:Includes bibliographical references and index.
ISBN:9780367473549
0367473542
9781000057270
1000057275
9781000057232
1000057232
9781000057256
1000057259