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020 _a9780367473549
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020 _a0367473542
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020 _a9781000057270
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035 _a(OCoLC)1156361758
035 _a(OCoLC-P)1156361758
050 4 _aRC280.B6
_bS34 2020
072 7 _aMAT
_x003000
_2bisacsh
072 7 _aMED
_x009000
_2bisacsh
072 7 _aTEC
_x059000
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072 7 _aTCB
_2bicssc
082 0 4 _a616.99/418
_223
100 1 _aSchiesser, W. E.,
_eauthor.
245 1 0 _aODE/PDE analysis of multiple myeloma :
_bprogramming in R /
_cWilliam E. Schiesser.
250 _aFirst edition.
264 1 _aBoca Raton, FL :
_bCRC Press,
_c2020.
264 4 _c©2020
300 _a1 online resource (xi, 135 pages)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
520 _aMultiple 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.
588 _aOCLC-licensed vendor bibliographic record.
650 0 _aMultiple myeloma
_xMathematical models.
650 0 _aNumerical analysis
_xComputer programs.
650 0 _aR (Computer program language)
650 7 _aMATHEMATICS / Applied
_2bisacsh
650 7 _aMEDICAL / Biotechnology
_2bisacsh
856 4 0 _3Read Online
_uhttps://www.taylorfrancis.com/books/9780367473549
856 4 2 _3OCLC metadata license agreement
_uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
942 _2lcc
_cEBK
999 _c15281
_d15281