LEADER 04297nam 22006135 450 001 9910299967503321 005 20200630205234.0 010 $a3-642-27367-X 024 7 $a10.1007/978-3-642-27367-4 035 $a(CKB)3710000000216618 035 $a(EBL)1802929 035 $a(SSID)ssj0001338779 035 $a(PQKBManifestationID)11740046 035 $a(PQKBTitleCode)TC0001338779 035 $a(PQKBWorkID)11339058 035 $a(PQKB)11070573 035 $a(MiAaPQ)EBC1802929 035 $a(DE-He213)978-3-642-27367-4 035 $a(PPN)180624784 035 $a(EXLCZ)993710000000216618 100 $a20140806d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMathematical Modeling in Renal Physiology /$fby Anita T. Layton, Aurelie Edwards 205 $a1st ed. 2014. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2014. 215 $a1 online resource (225 p.) 225 1 $aLecture Notes on Mathematical Modelling in the Life Sciences,$x2193-4789 300 $aDescription based upon print version of record. 311 $a1-322-13851-6 311 $a3-642-27366-1 320 $aIncludes bibliographical references at the end of each references and index. 327 $a1.Introduction: Basics of Kidney Physiology -- 2.Glomerular Filtration -- 3.Urine Concentration -- 4 Counter-current Exchange Across Vasa Recta -- 5.Tubuloglomerular Feedback -- 6.Electrophysiology of Renal Vascular Smooth Muscle Cells -- 7.Vasomotion and Myogenic Response of the Afferent Arteriole -- 8.Transport Across Tubular Epithelia -- 9.Solutions to Problem Sets -- Index. 330 $aThis comprehensive and richly illustrated volume provides up-to-date, wide-ranging material on the mathematical modeling of kidney physiology, including clinical data analysis and practice exercises. Basic concepts and modeling techniques introduced in this volume can be applied to other areas (or organs) of physiology. With the availability of high speed computers and advances in computational techniques, the application of mathematical modeling to biological systems is expanding. The models presented in this book describe the main homeostatic functions performed by the kidney, including blood filtration, excretion of water and salt, maintenance of electrolyte balance, and regulation of blood pressure. Each chapter includes an introduction to the basic relevant physiology, a derivation of the essential conservation equations, and then a discussion of a series of mathematical models, with increasing level of complexity. This volume will be of interest to biological and mathematical scientists, as well as physiologists and nephrologists, who would like an introduction to mathematical techniques that can be applied to renal transport and function. The material is written for students who have had college-level calculus, but can be used in modeling courses in applied mathematics at all levels through early graduate courses. Anita T. Layton is the Robert R. and Katherine B. Penn Associate Professor of Mathematics at Duke University. Aurélie Edwards is director of the Laboratory of Renal Physiology at the Cordeliers Research Center in Paris, in affiliation with the French National Center for Scientific Research (CNRS). 410 0$aLecture Notes on Mathematical Modelling in the Life Sciences,$x2193-4789 606 $aBiomathematics 606 $aPhysiological, Cellular and Medical Topics$3https://scigraph.springernature.com/ontologies/product-market-codes/M31020 606 $aMathematical and Computational Biology$3https://scigraph.springernature.com/ontologies/product-market-codes/M31000 615 0$aBiomathematics. 615 14$aPhysiological, Cellular and Medical Topics. 615 24$aMathematical and Computational Biology. 676 $a612.4630113 700 $aLayton$b Anita T$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721220 702 $aEdwards$b Aurelie$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299967503321 996 $aMathematical Modeling in Renal Physiology$92540398 997 $aUNINA