"ODE/PDE Analysis of Multiple Myeloma" - Information and Links:

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Programming in R

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The cover of “ODE/PDE Analysis of Multiple Myeloma” - Google Books.

"ODE/PDE Analysis of Multiple Myeloma" was published by Taylor & Francis Group in 2022, it has 148 pages and the language of the book is English.


“ODE/PDE Analysis of Multiple Myeloma” Metadata:

  • Title: ➤  ODE/PDE Analysis of Multiple Myeloma
  • Author:
  • Language: English
  • Number of Pages: 148
  • Is Family Friendly: Yes - No Mature Content
  • Publisher: Taylor & Francis Group
  • Publish Date:

“ODE/PDE Analysis of Multiple Myeloma” Subjects and Themes:

Edition Specifications:

  • Weight: 0.218
  • Pagination: 148

Edition Identifiers:

AI-generated Review of “ODE/PDE Analysis of Multiple Myeloma”:


Snippets and Summary:

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 ...

"ODE/PDE Analysis of Multiple Myeloma" Description:

Google Books:

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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