000 03981cam a2200685Ii 4500
001 9780429275128
003 FlBoTFG
005 20220509193056.0
006 m o d
007 cr cnu|||unuuu
008 190603t20192019flu ob 001 0 eng d
040 _aOCoLC-P
_beng
_erda
_epn
_cOCoLC-P
020 _a9780415003087
_q(electronic bk.)
020 _a0415003083
_q(electronic bk.)
020 _a9780429275128
_q(electronic bk.)
020 _a0429275129
_q(electronic bk.)
020 _a9781000001044
_q(electronic bk. : PDF)
020 _a1000001040
_q(electronic bk. : PDF)
020 _a9781000007886
_q(electronic bk. : EPUB)
020 _a100000788X
_q(electronic bk. : EPUB)
020 _a9781000014402
_q(electronic bk. : Mobipocket)
020 _a1000014401
_q(electronic bk. : Mobipocket)
020 _z9780367224837
035 _a(OCoLC)1103320135
035 _a(OCoLC-P)1103320135
050 4 _aRC262
072 7 _aHEA
_x039000
_2bisacsh
072 7 _aMED
_x014000
_2bisacsh
072 7 _aMED
_x022000
_2bisacsh
072 7 _aMED
_x112000
_2bisacsh
072 7 _aMED
_x045000
_2bisacsh
072 7 _aMAT
_x003000
_2bisacsh
072 7 _aMED
_x000000
_2bisacsh
072 7 _aMED
_x009000
_2bisacsh
072 7 _aMQW
_2bicssc
082 0 4 _a616.99/400285
_223
100 1 _aSchiesser, W. E.,
_eauthor.
245 1 0 _aMoving boundary PDE analysis :
_bbiomedical applications in R /
_cby William E. Schiesser.
264 1 _aBoca Raton :
_bCRC Press,
_c[2019]
264 4 _c©2019
300 _a1 online resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
505 0 _aPDE model formulation -- PDE model implementation -- PDE model output -- Tumor growth -- Plaque formation in atherosclerosis.
520 _aMathematical models stated as systems of partial differential equations (PDEs) are broadly used in biology, chemistry, physics and medicine (physiology). These models describe the spatial and temporial variations of the problem system dependent variables, such as temperature, chemical and biochemical concentrations and cell densities, as a function of space and time (spatiotemporal distributions). For a complete PDE model, initial conditions (ICs) specifying how the problem system starts and boundary conditions (BCs) specifying how the system is defined at its spatial boundaries, must also be included for a well-posed PDE model. In this book, PDE models are considered for which the physical boundaries move with time. For example, as a tumor grows, its boundary moves outward. In atherosclerosis, the plaque formation on the arterial wall moves inward, thereby restricting blood flow with serious consequences such as stroke and myocardial infarction (heart attack). These two examples are considered as applications of the reported moving boundary PDE (MBPDE) numerical method (algorithm). The method is programmed in a set of documented routines coded in R, a quality, open-source scientific programming system. The routines are provided as a download so that the reader/analyst/researcher can use MFPDE models without having to first study numerical methods and computer programming.
588 _aOCLC-licensed vendor bibliographic record.
650 0 _aAtherosclerosis.
650 0 _aNeoplasticism.
650 0 _aNumerical analysis
_xComputer programs.
650 7 _aHEALTH & FITNESS / Diseases / General.
_2bisacsh
650 7 _aMEDICAL / Clinical Medicine.
_2bisacsh
650 7 _aMEDICAL / Diseases.
_2bisacsh
650 7 _aMEDICAL / Evidence-Based Medicine.
_2bisacsh
650 7 _aMEDICAL / Internal Medicine.
_2bisacsh
650 7 _aMATHEMATICS / Applied
_2bisacsh
650 7 _aMEDICAL / General
_2bisacsh
650 7 _aMEDICAL / Biotechnology
_2bisacsh
856 4 0 _3Taylor & Francis
_uhttps://www.taylorfrancis.com/books/9780429275128
856 4 2 _3OCLC metadata license agreement
_uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
999 _c129317
_d129317