LEADER 00994nam0-22003251i-450- 001 990007105230403321 005 20060215122554.0 035 $a000710523 035 $aFED01000710523 035 $a(Aleph)000710523FED01 035 $a000710523 100 $a20020709d1953----km-y0itay50------ba 101 0 $aeng 102 $aUS 105 $ay-------001yy 200 1 $aIncome stabilization for a developing democracy$ea study of the politics and economics of high employment without inflation$fedited by Max F. Millikan 210 $aNew Haven$cYale University Press$d1953 215 $aXXI, 730 p.$d24 cm 610 0 $aPolitica economica 610 0 $aReddito nazionale 702 1$aMillikan,$bMax F. 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990007105230403321 952 $aXV O 38$b43935$fFGBC 952 $aN/1.4 INC$b04657$fSES 959 $aFGBC 959 $aSES 996 $aIncome stabilization for a developing democracy$9705185 997 $aUNINA LEADER 01079nam--2200373---450- 001 990002709100203316 005 20060209141510.0 010 $a0-7923-6229-2 035 $a000270910 035 $aUSA01000270910 035 $a(ALEPH)000270910USA01 035 $a000270910 100 $a20060209d2000----km-y0itay0103----ba 101 $aeng 102 $aNL 105 $a||||||||001yy 200 1 $aMixing of solids$fRalf Weinekötter, Hermann Gericke 210 $aDordrecht [etc.]$cKluwer Academic publishers$dcopyr. 2000 215 $a154 p.$cill.$d24 cm 225 2 $aParticle technology series 410 0$1001$12001$aParticle technology series 606 0 $aMiscelazione 606 0 $aSolidi 676 $a660.284292 700 1$aWEINEKÖTTER,$bRalf$0592519 701 1$aGERICKE,$bHermann$0592520 801 0$aIT$bsalbc$gISBD 912 $a990002709100203316 951 $a660.284292 WEI$b19390 ING$c660$d0000175914 959 $aBK 969 $aTEC 979 $aCHIARA$b90$c20060209$lUSA01$h1415 996 $aMixing of solids$91001836 997 $aUNISA LEADER 05608nam 2200757 a 450 001 9910965855103321 005 20200520144314.0 010 $a9786612769023 010 $a9781282769021 010 $a1282769022 010 $a9780080890494 010 $a0080890490 035 $a(CKB)2560000000015252 035 $a(EBL)582009 035 $a(OCoLC)700688819 035 $a(SSID)ssj0000422821 035 $a(PQKBManifestationID)12156846 035 $a(PQKBTitleCode)TC0000422821 035 $a(PQKBWorkID)10432772 035 $a(PQKB)10287898 035 $a(Au-PeEL)EBL582009 035 $a(CaPaEBR)ebr10415281 035 $a(CaONFJC)MIL276902 035 $a(PPN)17024878X 035 $a(FR-PaCSA)88802577 035 $a(MiAaPQ)EBC582009 035 $a(FRCYB88802577)88802577 035 $a(EXLCZ)992560000000015252 100 $a20101013d2010 uy 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMathematics for neuroscientists /$fFabrizio Gabbiani, Steven J. Cox 205 $a1st ed. 210 $aAmsterdam ;$aBoston $cElsevier$d2010 215 $a1 online resource (505 p.) 225 0 $aElsevier science & technology books 300 $aDescription based upon print version of record. 311 08$a9780123748829 311 08$a0123748828 320 $aIncludes bibliographical references (p. 473-482) and index. 327 $aFront cover; Mathematics for Neuroscientists; Copyright page; Full Contents; Preface; Chapter 1. Introduction; 1.1. How to Use This Book; 1.2. Brain Facts Brief; 1.3. Mathematical Preliminaries; 1.4. Units; 1.5. Sources; Chapter 2. The Passive Isopotential Cell; 2.1. Introduction; 2.2. The Nernst Potential; 2.3. Membrane Conductance; 2.4. Membrane Capacitance and Current Balance; 2.5. Synaptic Conductance; 2.6. Summary and Sources; 2.7. Exercises; Chapter 3. Differential Equations; 3.1. Exact Solution; 3.2. Moment Methods*; 3.3. The Laplace Transform*; 3.4. Numerical Methods 327 $a3.5. Synaptic Input 3.6. Summary and Sources; 3.7. Exercises; Chapter 4. The Active Isopotential Cell; 4.1. The Delayed Rectifier Potassium Channel; 4.2. The Sodium Channel; 4.3. The Hodgkin-Huxley Equations; 4.4. The Transient Potassium Channel*; 4.5. Summary and Sources; 4.6. Exercises; Chapter 5. The Quasi-Active Isopotential Cell; 5.1. The Quasi-Active Model; 5.2. Numerical Methods; 5.3. Exact Solution via Eigenvector Expansion; 5.4. A Persistent Sodium Current*; 5.5. A Nonspecific Cation Current that is Activated by Hyperpolarization*; 5.6. Summary and Sources; 5.7. Exercises 327 $aChapter 6. The Passive Cable 6.1. The Discrete Passive Cable Equation; 6.2. Exact Solution Via Eigenvector Expansion; 6.3. Numerical Methods; 6.4. The Passive Cable Equation; 6.5. Synaptic Input; 6.6. Summary and Sources; 6.7. Exercises; Chapter 7. Fourier Series and Transforms; 7.1. Fourier Series; 7.2. The Discrete Fourier Transform; 7.3. The Continuous Fourier Transform; 7.4. Reconciling the Discrete and Continuous Fourier Transforms; 7.5. Summary and Sources; 7.6. Exercises; Chapter 8. The Passive Dendritic Tree; 8.1. The Discrete Passive Tree; 8.2. Eigenvector Expansion 327 $a8.3. Numerical Methods 8.4. The Passive Dendrite Equation; 8.5. The Equivalent Cylinder*; 8.6. Branched Eigenfunctions*; 8.7. Summary and Sources; 8.8. Exercises; Chapter 9. The Active Dendritic Tree; 9.1. The Active Uniform Cable; 9.2. On the Interaction of Active Uniform Cables*; 9.3. The Active Nonuniform Cable; 9.4. The Quasi-Active Cable*; 9.5. The Active Dendritic Tree; 9.6. Summary and Sources; 9.7. Exercises; Chapter 10. Reduced Single Neuron Models; 10.1. The Leaky Integrate-and-Fire Neuron; 10.2. Bursting Neurons; 10.3. Simplified Models of Bursting Neurons; 10.4. Summary and Sources 327 $a10.5. Exercises Chapter 11. Probability and Random Variables; 11.1. Events and Random Variables; 11.2. Binomial Random Variables; 11.3. Poisson Random Variables; 11.4. Gaussian Random Variables; 11.5. Cumulative Distribution Functions; 11.6. Conditional Probabilities*; 11.7. Sum of Independent Random Variables*; 11.8. Transformation of Random Variables*; 11.9. Random Vectors*; 11.10. Exponential and Gamma Distributed Random Variables; 11.11. The Homogeneous Poisson Process; 11.12. Summary and Sources; 11.13. Exercises; Chapter 12. Synaptic Transmission and Quantal Release 327 $a12.1. Basic Synaptic Structure and Physiology 330 $aVirtually all scientific problems in neuroscience require mathematical analysis, and all neuroscientists are increasingly required to have a significant understanding of mathematical methods. There is currently no comprehensive, integrated introductory book on the use of mathematics in neuroscience; existing books either concentrate solely on theoretical modeling or discuss mathematical concepts for the treatment of very specific problems. This book fills this need by systematically introducing mathematical and computational tools in precisely the contexts that first established their important 606 $aMedicine$xMathematics 606 $aNeurosciences 615 0$aMedicine$xMathematics. 615 0$aNeurosciences. 676 $a612.8 676 $a612.80151 676 $a612.80151 700 $aGabbiani$b Fabrizio$0858256 701 $aCox$b Steven J$057197 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910965855103321 996 $aMathematics for neuroscientists$94335801 997 $aUNINA