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008			220601s2019 sz | s |||| 0|eng d
020			_a9783031024146
024	7		_a10.1007/978-3-031-02414-6 _2doi
040			_aES-MaUEC _bspa _cES-MaUEC _dES-MaUEC
050		4	_aRC692 _b2019 EB
100	1		_aSchiesser, William E. _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut _9670222
245	1	0	_aPDE Models for Atherosclerosis Computer Implementation in R _cby William E. Schiesser
250			_a1st edition 2019
264		1	_aCham _bSpringer International Publishing _c2019
300			_a1 recurso en línea (XII, 129 páginas)
336			_atexto _btxt _2rdacontent
337			_aelectrónico _bc _2rdamedia
338			_arecurso electrónico _bcr _2rdacarrier
347			_aarchivo de texto _bPDF
490	0		_aSynthesis Lectures on Mathematics & Statistics _x1938-1751
505	0		_aPreface -- PDE Model Formulation -- PDE Model Implementation -- PDE Model Detailed Analysis -- PDE Model Applications -- Author's Biography -- Index.
520			_a<p>Atherosclerosis is a pathological condition of the arteries in which plaque buildup and stiffening (hardening) can lead to stroke, myocardial infarction (heart attacks), and even death. Cholesterol in the blood is a key marker for atherosclerosis, with two forms: (1) LDL - low density lipoproteins and (2) HDL - high density lipoproteins. Low LDL and high HDL concentrations are generally considered essential for limited atherosclerosis and good health.</p><div><p>This book pertains to a mathematical model for the spatiotemporal distribution of LDL and HDL in the arterial endothelial inner layer (EIL, intima). The model consists of a system of six partial differential equations (PDEs) with the dependent variables</p></div> <p>1. ����(����,����): concentration of modified LDL</p></div> <p>2. ℎ(����,����): concentration of HDL</p></div> <p>3. ����(����,����): concentration of chemoattractants</p></div> <p>4. ����(����,����): concentration of ES cytokines</p></div> <p>5. ����(����,����): density of monocytes/macrophages</p></div> <p>6. ����(����,����): density of foam cells</p></div> <p>and independent variables</p></div> <p>1. ����: distance from the inner arterial wall</p></div> <p>2. ����: time</p></div> <p>The focus of this book is a discussion of the methodology for placing the model on modest computers for study of the numerical solutions. The foam cell density ����(����,����) as a function of the bloodstream LDL and HDL concentrations is of particular interest as a precursor for arterial plaque formation and stiffening.</p></div><p>The numerical algorithm for the solution of the model PDEs is the method of lines (MOL), a general procedure for the computer-based numerical solution of PDEs. The MOL coding (programming) is in R, a quality, open-source scientific computing system that is readily available from the Internet. The R routines for the PDE model are discussed in detail, and are available from a download link so that the reader/analyst/researcher can execute the model to duplicate the solutions reported in the book, then experiment with the model, for example, by changing the parameters (constants) and extending the model with additional equations.</p></div>.
988			_aSynthesis Collection of Technology_2019
650		7	_2embne _9145456 _aEcuaciones en derivadas parciales
776	0	8	_iPrinted edition: _z9783031002601
776	0	8	_iPrinted edition: _z9783031012860
776	0	8	_iPrinted edition: _z9783031035425
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-031-02414-6 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942			_2lcc _cLE
998			_b03/2023 _dz _esc _zSI