eBook - ePub

ODE/PDE Analysis of Multiple Myeloma

Name: ODE/PDE Analysis of Multiple Myeloma
ISBN: 9781000057270

Programming in R

William Schiesser,

William E. Schiesser,

136 pages
English
ePUB (mobile friendly)
Available on iOS & Android

eBook - ePub

ODE/PDE Analysis of Multiple Myeloma

Programming in R

William Schiesser,

William E. Schiesser,

About this book

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.

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Yes, you can access ODE/PDE Analysis of Multiple Myeloma by William Schiesser,William E. Schiesser in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.