Ode/Pde Analysis of Multiple Myeloma: Programming in R
暫譯: 多發性骨髓瘤的常微分方程/偏微分方程分析：R 語言編程

Schiesser, William E.

Ode/Pde Analysis of Multiple Myeloma: Programming in R
  • 出版商: CRC
  • 出版日期: 2020-06-19
  • 售價: $4,910
  • 貴賓價: 9.5 折 $4,665
  • 語言: 英文
  • 頁數: 136
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 0367495511
  • ISBN-13: 9780367495510

    • 海外代購書籍(需單獨結帳)

商品描述

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.

商品描述(中文翻譯)

多發性骨髓瘤是一種骨癌。具體來說，它是骨髓（骨頭的軟組織）中漿細胞的癌症。正常的漿細胞是免疫系統的重要組成部分。

本書介紹了基於常微分方程（ODE）和偏微分方程（PDE）的多發性骨髓瘤數學模型，從第一章的基本ODE模型開始，並在第四章結束時提供一個詳細的ODE/PDE模型，該模型給出了骨髓和外周血中四個依賴變量組件的時空分佈：（1）由多發性骨髓瘤細胞產生的蛋白質，稱為M蛋白，（2）細胞毒性T淋巴細胞（CTLs），（3）自然殺手（NK）細胞，以及（4）調節性T細胞（Tregs）。

示例模型的計算機實現通過用R編寫的例程呈現，R是一個高品質的開源科學計算系統，可以輕鬆從互聯網獲得。正式的數學內容被最小化，例如，沒有定理和證明。相反，通過詳細的示例進行展示，讀者/研究者/分析師可以在普通計算機上執行這些示例，使用可通過下載獲得的R例程。PDE分析基於線法（MOL），這是一種已建立的PDE通用算法，使用有限差分法實現。

作者簡介

William E. Schiesser is the Emeritus McCann Professor in the chemical and biomolecular engineering department at Lehigh University as well as a former professor in the mathematics department. He recently authored several books on computer-based solutions to models of living systems, such as the development of Parkinson's disease. He holds a Ph.D. from Princeton University and an honorary Sc.D. from the University of Mons, Belgium. He is the author or co-author of a series of books in his field of research on numerical methods and associated software for ordinary, differential-algebraic and partial differential equations (ODE/DAE/PDEs) and the development of mathematical models based on ODE/DAE/PDEs.

作者簡介(中文翻譯)

威廉·E·希瑟（William E. Schiesser）是萊海大學（Lehigh University）化學與生物分子工程系的名譽麥肯教授（Emeritus McCann Professor），同時也是數學系的前教授。他最近撰寫了幾本關於基於計算機的生物系統模型解決方案的書籍，例如帕金森病的發展。他擁有普林斯頓大學（Princeton University）的博士學位，以及比利時蒙斯大學（University of Mons）的榮譽科學博士學位（Sc.D.）。他是其研究領域內一系列書籍的作者或合著者，這些書籍涉及數值方法及其相關軟體，涵蓋常微分方程（ODE）、微分代數方程（DAE）和偏微分方程（PDE）的研究，以及基於ODE/DAE/PDE的數學模型的發展。

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