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000805590 019__ $$a1008980820$$a1013506840
000805590 020__ $$a9783319605135$$q(electronic book)
000805590 020__ $$a3319605135$$q(electronic book)
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000805590 0247_ $$a10.1007/978-3-319-60513-5$$2doi
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000805590 08204 $$a616.1/50015118$$223
000805590 08214 $$a519
000805590 1001_ $$aFasano, A.$$q(Antonio),$$eauthor.
000805590 24510 $$aHemomath :$$bthe mathematics of blood /$$cAntonio Fasano, Adélia Sequeira.
000805590 264_1 $$aCham :$$bSpringer International Publishing :$$bImprint: Springer,$$c2017.
000805590 300__ $$a1 online resource (xii, 340 pages) :$$billustrations.
000805590 336__ $$atext$$btxt$$2rdacontent
000805590 337__ $$acomputer$$bc$$2rdamedia
000805590 338__ $$aonline resource$$bcr$$2rdacarrier
000805590 347__ $$atext file$$bPDF$$2rda
000805590 4901_ $$aMS&A, Modeling, Simulation and Applications,$$x2037-5255 ;$$v18
000805590 504__ $$aIncludes bibliographical references and index.
000805590 5050_ $$aPreface; Contents; Acronyms; 1 Hemorheology and Hemodynamics; 1.1 Historical Remarks; 1.2 The Human Circulatory System; 1.2.1 Systemic Circulation; 1.2.2 Mathematical Models for Blood Flow Dynamics; 1.2.2.1 Modeling the Local Flow Dynamics in Compliant Vessels; 1.2.2.2 A 3D FSI Model; 1.2.2.3 Modeling the Global Flow Dynamics with Reduced Models; 1.2.2.4 1D Wave Propagation Models; 1.2.2.5 0D Lumped Parameter Models; 1.2.2.6 The Geometrical Multiscale Approach: Coupling 3D FSI with Reduced Models; 1.3 Blood Rheology
000805590 5058_ $$a1.3.1 Blood Components1.3.2 Non-Newtonian Properties of Blood; 1.3.2.1 Viscosity of Blood; 1.3.2.2 Viscoelasticity and Thixotropy of Blood; 1.3.2.3 Yield Stress of Blood; 1.3.3 Constitutive Models for Blood; 1.3.3.1 Viscosity Models; 1.3.3.2 Viscoelastic Constitutive Models; 1.3.3.3 Yield Stress Models; 1.4 Hemodynamics and Microcirculation; 1.4.1 A New Approach to Modeling Microcirculation; 1.4.2 The Microcirculation Model; 1.5 Vasomotion; 1.5.1 The Elusive Phenomenon of Vessel Oscillations; 1.5.2 Arterioles; 1.5.3 Venules
000805590 5058_ $$a1.6 Atherosclerosis1.6.1 The Pathogenesis of Atherosclerosis; 1.6.2 Mathematical Modeling; References; 2 Blood Coagulation; 2.1 Introduction; 2.2 Historical Remarks; 2.3 Cells and Proteins Intervening in the Formation and Dissolution of Clots; 2.3.1 Blood Cells and Coagulation; 2.3.2 Platelets Regulators; 2.3.3 The Coagulation Factors; 2.3.4 Fibrinolysis Factors; 2.3.5 Factors Inhibitors; 2.4 The Cell-Based Model for Secondary Hemostasis; 2.4.1 Secondary Hemostasis; 2.4.2 Fibrinolysis; 2.5 Bleeding Disorders
000805590 5058_ $$a2.6 The 3-Pathway Cascade Model2.7 Anticoagulant Drugs, Thrombolytic Drugs,Hemophilia Therapies; 2.7.1 Anticoagulant Drugs; 2.7.2 Thrombolytic Drugs; 2.7.3 Hemophilia Therapies; 2.8 Mathematical Models for Blood Coagulation; 2.8.1 ODE's Models; 2.8.2 PDE's Models; References; 3 Blood Filtration in Kidneys; 3.1 Historical Remarks; 3.2 General Structure of Kidneys; 3.3 Calculating Glomerular Filtration Rate; 3.4 The Steady Flow and the Glomerular Filtration Rate; References; 4 Extracorporeal Blood Ultrafiltration
000805590 5058_ $$a4.1 Historical Remarks4.2 The Hollow Fibers Dialyzer; 4.2.1 General Description of the Apparatus; 4.2.2 A Mathematical Model Based on the UpscalingTechnique; 4.2.3 Modeling the Device; 4.2.4 Modeling the Body Reaction; 4.2.5 Modeling the Evolution of Masses and Volumes; 4.3 Numerical Simulations; 4.4 Going Further; References; 5 Extracorporeal Blood Oxygenation; 5.1 About Extracorporeal Blood Treatments; 5.2 Gases in Blood; 5.3 Historical Remarks; 5.4 Mathematical Models; 5.4.1 Heart-Lung Machine; 5.4.2 ECMO; 5.4.3 IMO
000805590 506__ $$aAccess limited to authorized users.
000805590 520__ $$aThis book illustrates applications of mathematics to various processes (physiological or artificial) involving flowing blood, including hemorheology, microcirculation, coagulation, kidney filtration and dialysis, offering a historical overview of each topic. Mathematical models are used to simulate processes normally occurring in flowing blood and to predict the effects of dysfunctions (e.g. bleeding disorders, renal failure), as well as the effects of therapies with an eye to improving treatments. Most of the models have a completely new approach that makes patient-specific simulations possible. The book is mainly intended for mathematicians interested in medical applications, but it is also useful for clinicians such as hematologists, nephrologists, cardio-surgeons, and bioengineers. Some parts require no specific knowledge of mathematics. The book is a valuable addition to mathematics, medical, biology, and bioengineering libraries.
000805590 650_0 $$aHematology$$xMathematical models.
000805590 650_0 $$aMathematics.
000805590 650_0 $$aCardiology.
000805590 650_0 $$aHematology.
000805590 650_0 $$aNephrology.
000805590 650_0 $$aApplied mathematics.
000805590 650_0 $$aEngineering mathematics.
000805590 7001_ $$aSequeira, A.$$q(Adélia),$$eauthor.
000805590 77608 $$iPrint version:$$z9783319605128$$z3319605127$$w(OCoLC)987282372
000805590 830_0 $$aMS&A (Series) ;$$vv. 18.$$x2037-5255
000805590 85280 $$bebk$$hSpringerLink
000805590 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-60513-5$$zOnline Access$$91397441.1
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