PREFACE The functions of the human brain are the last major lookingfornewfieldstoconquer,aclinicianwanting challengetoscience.Despitehavingmaderapidstrides tobecomeup-to-dateonrecentresearchinhisorher in understanding the cosmos, subatomic particles, field,orevenaninterestedlayreader. molecular biology, and genetics, we still know very Eachofthearticleshasbeenthroughalongprocess little about the organ that made these discoveries of author nomination, peer review, revision, and possible. How does the activity of 100 billion nerve copyediting. Most of the entries were written by cellsFmere wisps of protoplasm that constitute the acknowledged experts in the field. Given the nature brainFgiverisetothebroadspectrumofabilitiesthat and scope of this enterprise, a degree of overlap wecallconsciousness,mind,andhumannature? among the articles was not only inevitable but also Thereisnow,morethaneverbefore,arealneedfora desirable,sinceourgoalwastoensurethateacharticle standard reference source covering all aspects of the wasaself-containedsummaryofonespecificaspectof humanbrainandnervoussystem,andtheEncyclope- thehumanbrain.Givenspacelimitations,eachauthor dia of the Human Brain is the most up-to-date and was encouraged to provide a broad overview of an comprehensivecoveragetodate.Itisacompendiumof areaofresearchratherthananexhaustivereview.The articles contributed by many of the world’s leading resultisastimulatingandinformativecompilationof expertsinneuroscienceandpsychology.Theseessays material. willbeofinteresttoawiderangeofindividualsinthe Theeightiesweredubbedthe‘‘decadeofthebrain,’’ behavioralandhealthsciences. an apt term given the subsequent progress made in Writteninanengaging,accessiblestyle,theencyclo- understanding the structure, function, and develop- pedianotonlyisanimportantmajorreferenceworkbut ment of this mysterious organ. This encyclopedia also can be browsed informally by anyone who seeks should prove to be an invaluable resource on this answers about the activities and effects of the brain, fascinating subject and would nothavebeen possible suchaswhyandhowwedream,whatpartsofthebrain without the dedicated efforts of more than 350 areinvolvedinmemory,howwerecognizehumanfaces authors, 12associateeditors,150 peerreviewers, and and other objects, what are the brain mechanisms thefollowingAcademicPresspersonnel:NikkiLevy, involved in cognition and language, what causes Barbara Makinster, Christopher Morris, Carolan phantom limb pain, what are the implications of left- Gladden,JoannaDinsmore,andJocelynLofstrom. handedness, or what current treatments are available forParkinson’sdisease.HereintheEncyclopediaofthe Human Brain will be found brief yet comprehensive summariesonallofthesetopicsandsome200more. V.S.Ramachandran Manyofthearticleswillappealequallytoastudent Editor-in-Chief preparing an essay for class, a novice researcher UniversityofCalifornia,SanDiego xxxv Editorial Advisory Board Antonio R. Damasio University of Iowa College of Medicine Antonio R. Damasio, the Van Allen Professor and Head of Neurology at the University of Iowa, and AdjunctProfessorattheSalkInstitute,hashadamajorinfluenceonourunderstandingoftheneuralbasis ofdecision-making,emotion,languageandmemory,andconsciousness.Heelucidatescriticalproblemsin thefundamentalneuroscienceofmindandbehaviorattheleveloflarge-scalesystemsinhumans,although his investigations have also encompassed parkinsonism and Alzheimer’s disease. The laboratories that he andHannaDamasio(adistinguishedneurologistwhoisindependentlyrecognizedforherachievementsin neuroimaging and neuroanatomy) created at the University of Iowa are a leading center for the investigation of cognition using both the lesion method and functional imaging. Dr.DamasioisamemberoftheInstituteofMedicineoftheNationalAcademyofSciences,aFellowof theAmericanAcademyofArtsandSciences,amemberoftheNeurosciencesResearchProgram,aFellow oftheAmericanAcademyofNeurology,amemberoftheEuropeanAcademyofSciencesandArtsandof theRoyal AcademyofMedicineinBelgium,amember oftheAmerican Neurological Associationandof the Association of American Physicians, and a board member of leading neuroscience journals. He has receivednumerousscientificprizesanddeliveredsomeofthemostprestigiouslecturesintheUnitedStates andinEurope.HisbookDescartes’Error:Emotion,ReasonandtheHumanBrain(Putnam,1994)istaught inuniversitiesworldwide.HisnewbookTheFeelingofWhatHappens:Body,Emotion,andtheMakingof Consciousness, published by Harcourt, has received several awards and has been translated into 18 languages. Martha J. Farah University of Pennsylvania MarthaJ.FarahistheBobandArleneKogodProfessorofPsychologyandtheDirectoroftheCenterfor CognitiveNeuroscienceattheUniversityofPennsylvania.Sheisknownforherworkontheneuralbases of human perception and cognition, described in over a hundred research publications as well as in five books.Hercurrentinterestsareinemotion–cognitioninteractionanddevelopment.Dr.Farah’sworkhas been honored witha number ofawards,including theAmerican PsychologicalAssociation Distinguished Scientific Award for an Early Career Contribution, the National Academy of Sciences Troland Research Award, and a Guggenheim Fellowship. Michael F. Huerta National Institute of Mental Health Michael F. Huerta received both his B.A. in zoology and his Ph.D. in anatomy from the University of WisconsininMadison.HewasapostdoctoralfellowatVanderbiltUniversity,servedonthefacultyofthe University of Connecticut Health Center, and was a guest researcher in the intramural program of the National Institute of Mental Health at the National Institutes of Health. Most of Dr. Huerta’s research publications concern sensorimotor integration at the systems level of analysis. He is currently Associate Director of the Division of Neuroscience and Basic Behavioral Research and Director of the Office of Translational Research and Scientific Technology at the National Institute of Mental Health. Dr. Huerta’s research efforts are focused on integrating the many disciplines, perspectives, and approaches that comprise neuroscience. He also has significant interest in advancing the research and development of technologies useful to brain researchers, particularly informatics tools. Dr. Huerta has received numerous awards for his leadership in areas including neuroscience, imaging, informatics, and bioengineering. He continues to review manuscripts for journals, edits scientific books, and serves as an editor on the new journal Neuroinformatics. Sue Iversen University of Oxford Sue Iversen is professor of experimental psychology and Pro-Vice-Chancellor for Planning and Resource AllocationattheUniversityofOxford.ShestudiedforherundergraduatedegreeandPh.D.atCambridge, thenspentherpostdoctoralyearsintheUnitedStatesattheNationalInstitutesofHealthandatHarvard Medical School. She was formerly Research Director at the U.S. pharmaceutical company Merck & Co., whereshewasinvolvedinestablishingthelargestcommercialNeuroscienceResearchCentreintheUnited Kingdom, based at Harlow in Essex, and has previously held research posts at Cambridge University. Dr.Iversen’sresearchandpublicationsfocusondisordersofbrain function,particularlyschizophrenia and Alzheimer’s disease with particular reference to the biological bases of these disorders, their clinical presentation,andtreatment.Shehaspublished307papers,edited24volumes,andisco-authorwithL.L. IversenofBehaviouralPharmacology.UntilrecentlyshewasEditor-in-ChiefofNeuropsychologiaandhas held senior office in a number of professional psychological and neuroscience societies. Edward G. Jones University of California, Davis EdwardG.JonesreceivedhisMedicalDegreefromtheUniversityofOtago,NewZealand,andhisPh.D. fromOxfordUniversity.Heisanauthorityonbrainanatomyandisrecognizedasaleadingresearcherof the central nervous system. He was a leading figure in introducing molecular biology methodology to systems neuroscience, and has done groundbreaking work on schizophrenia, focusing on how changes at the molecular and cellular level are associated with the disorder. Dr. Jones also belongs to a group of scientists who are working on the U.S. Human Brain Project, which supports the development of databases on the brain and development of technologies to manage and share neuroscience information. HewasafoundingmemberoftheFrontierResearchPrograminBrainMechanismsofMindandBehavior at Riken, Japan. Dr.Jones’manyawardsincludetheCajalmedalforexcellenceinresearchandKriegCorticalDiscoverer (1989),theHenryGrayAward,AmericanAssociationofAnatomists(2001),andtheKarlSpencerLashley Award, American Philosophical Society (2001). He has served as the President of the Society for Neuroscience,isaFellowoftheAmericanAssociationfortheAdvancementofScience,andisanoriginal memberoftheThomsonScientificISIHighly-CitedResearchers.HeiscurrentlytheDirectoroftheCenter for Neuroscience at the University of California, Davis. Jon H. Kaas Vanderbilt University Jon H.Kaas isaDistinguished, Centennial ProfessorofPsychologyatVanderbiltUniversity, whereheis alsoprofessorofcellbiology.HeisanelectedmemberoftheNationalAcademyofSciences,theAmerican Academy of Arts and Sciences, and the Society of Experimental Psychologists. He has received the Sutherland Prize for Achievement in Research, the Javits Neuroscience Investigator Award, the Krieg Cortical Discoverer Award, and the American Psychological Association Distinguished Scientific Contribution Award. OneofDr.Kaas’majorresearchinterestsishowsensory-perceptualandmotorsystemsareorganizedin mammalian brains, especially those of primates. This interest has led to comparative studies of primate brains and efforts to infer the course of human brain evolution. Related research efforts have revealed aspects of brain specializations in mammals with unusual adaptations such as moles and bats. Another researchfocushasbeentheplasticityofdevelopingandmaturesensoryandmotorsystemswitheffortsto determine mechanisms of brain reorganization and recovery after sensory loss. Raja Parasuraman The Catholic University of America Raja Parasuraman is Director of the Cognitive Science Laboratory, and professor of psychology at The Catholic University of America in Washington, D.C. He received a B.Sc. (1st Class Honors) in electrical engineeringfromImperialCollege,UniversityofLondon,UK(1972)andanM.Sc.inappliedpsychology (1973) and a Ph.D. in psychology (1976) from the University of Aston, Birmingham, UK. Dr. Parasuraman has carried out research on attention, automation, aging and Alzheimer’s disease, event- related brain potentials, functional brain imaging, signal detection, vigilance, and workload. His books includeThePsychologyofVigilance(AcademicPress,1982),VarietiesofAttention(AcademicPress,1984), Event-Related Brain Potentials (Oxford University Press, 1990), Automation and Human Performance (Erlbaum, 1996), and The Attentive Brain (MIT Press, 1998). Dr. Parasuraman served as a member of the Human Development and Aging Study Section of the National Institutes of Health from 1992 to 1995, and was a member of the National Research Council’s Panelon Human Factors inAir-Traffic ControlAutomation from 1994to 1998. He iscurrentlyChairof the National Research Council Panel on Human Factors. He is also on the editorial board of several journals, including Neuropsychology and Human Factors. Dr. Parasuraman was elected a Fellow of the American Association for the Advancement of Science (1994), the American Psychological Association (1991), the American Psychological Society (1991), and the Human Factors and Ergonomics Society (1994). Michael I. Posner University of Oregon MichaelI.PosnerisProfessorEmeritusattheUniversityofOregonandiscurrentlyDirectoroftheSackler InstituteforDevelopmentPsychobiologyattheWeillMedicalCollegeofCornellUniversityinNewYork. Since the mid-1960s, Dr. Posner has been involved in the effort to measure human thought and to understanditsphysicalbasis.His1978bookChronometricExplorationsofMindwasselectedasoneofthe most influential books in cognitive science. Dr. Posner joined with Marcus Raichle at Washington Universityinneuroimagingstudiesthatservedtolocalizebrainnetworksofcognitiveprocessesinnormal subjects. Their book in this field, Images of Mind, received the 1996 Williams James award for the most outstanding volume in the field of psychology. They jointly received awards from the Dana Foundation andtheAmericanPhilosophicalSociety,andreceivedthePasarowandGrawenmeyerawardsforresearch contributionstounderstandingmentalprocesses.CurrentlyDr.Posnerisworkingwithmanycolleaguesat theSacklerInstituteandtheUniversityofOregontoexaminetheanatomyandcircuitryofattention and self regulation in infants and children. Henry C. Powell University of California, San Diego HenryC.PowellisagraduateofUniversityCollegeDublinandtheNationalUniversityofIreland(M.B., B.Ch., B.A.O., 1970). He was awarded the degrees of M.D. (1985) and D.Sc. (1994) based on published workinpathology.Dr.PowellisalsoaFellowoftheRoyalCollegeofPathologists(UK).Heinternedin pathologyandmedicineatPhiladelphiaGeneralHospital(1970–1971)andcompletedresidencytrainingin AnatomicandClinicalPathologyattheUniversityofCalifornia,SanDiegofrom1971to1975.Hehelda fellowship in neuropathology at Massachusetts General Hospital (1975–1976), prior to being appointed assistant professorof pathologyatthe UniversityofCalifornia, San Diego. Currentlyhe isprofessor and interimchairmanofthedepartmentofpathologyandheadofthedivisionofneuropathologyandelectron microscopy. Dr.Powell’sresearchinterestsarefocusedonmetabolic,inflammatory,anddegenerativediseasesofthe nervous system, with emphasis on the pathogenesis of peripheral neuropathies in diabetes. He and his collaborators study experimentally induced neuropathy in diabetic rats as well as the nervous system effects of spontaneously occurring diabetes in feline and human disease. John Smythies University of California, San Diego John Smythies is a graduate of the University of British Columbia, where he was awarded an M.Sc. in neuroanatomy, philosophy, and anthropology, and of Cambridge University, where he was awarded the degrees of M.Sc. in psychology and M.D. He is currently Director of the Division of Neurochemistry at the Center for Brain and Cognition as well as a research scientist in the department of psychology at the University of California, San Diego. He is also a senior research fellow at the Institute of Neurology at National Hospital in London and a visiting professor in the department of psychiatry at Harvard University. Dr. Smythies is a member of numerous scientific societies and editorial boards in neuroscience and neuropsychiatry. He has authored 244 publications in neuroscience and medicine and has written 12 books. His main research interests are the neurochemistry of schizophrenia, redox mechanisms in the brain, the biochemical basis of synaptic plasticity, and the mind-brain problem. Elizabeth Warrington The National Hospital for Neurology and Neuroscience ElizabethWarringtonhasbeenassociatedwithLondonUniversitysince1951.ShewasawardedaB.Sc.in 1954, a Ph.D. in 1960 and a D.Sc. in 1975. She joined the staff of the Institute of Neurology in 1954 in a research capacity. In 1972 Dr. Warrington was appointed head of the department of clinical neuropsychology, a post she held until she retired in 1996. In addition to her clinical duties she has pursued an active research career with special interests in perception, memory, and language disorders. Dr. Warrington was elected to the Fellowship of the Royal Society in 1986, and she has been awarded honorary degrees from the Universities of Bologna, Italy, and York, UK. At present she is an honorary consultant neuropsychologist to the Dementia Research Group where she is engaged in active research. Jeremy M. Wolfe Brigham & Women’s Hospital Jeremy M. Wolfe became interested in vision research during the course of a summer job at Bell Labs in New Jersey after his senior year in high school. He graduated summa cum laude from Princeton in 1977 with a degree in psychology and went on to obtain his Ph.D. in 1981 from MIT, studying with Richard Held. His Ph.D. thesis was entitled ‘‘On Binocular Single Vision.’’ Dr. Wolfe remained at MIT as a lecturer,assistantprofessor,andassociateprofessoruntil1991.Duringthatperiod,hepublishedpaperson binocularrivalry,visualaftereffects,andaccommodation.Inthelate1980s,thefocusofthelabshiftedto visual attention—a transition marked most clearly by the publication of the first version of Dr. Wolfe’s ‘‘Guided Search’’ model of visual search in 1989. Since that time, he has published numerous articles on visual search and visual attention. In 1991, Dr. Wolfe moved to Brigham and Women’s Hospital and Harvard Medical School, where he remainstothepresentday.HecontinuestoteachintheMITConcourseProgram.Dr.Wolfehasservedin editorial capacities for a number of journals, currently as Associate Editor of Perception and Psychophysics. He is member of the National Institutes of Health VIS-B Study Section, and is President oftheEasternPsychologicalAssociation.Dr.WolfewontheBakerMemorialPrizeforteachingatMITin 1989. He is a Fellow of the American Psychological Association and a member of the Society for Experimental Psychologists. Editor-in-Chief V. S. Ramachandran University of California, San Diego V.S.RamachandranisDirectoroftheCenterforBrainandCognitionandprofessorofneuroscienceand psychologyatthe Universityof California, San Diego.He isadditionally anadjunct professorof biology attheSalkInstitute.HeobtainedanM.D.fromStanleyMedicalCollegeandaPh.D.fromTrinityCollege at the University of Cambridge, where he was elected a senior Rouse Ball Scholar. He has received many honors and awards, including a fellowship from All Souls College, Oxford, an honorary doctorate from Connecticut College, a Gold Medal from the Australian National University, and the Ariens Kappers Medal from the Royal Nederlands Academy of Sciences for landmark contributions in neuroscience. Dr. Ramachandran’s early research was on visual perception, but he is best known for his work in neurology.In1995hegavetheDecadeoftheBrainLectureatthe25thannual(SilverJubilee)meetingof the Society for Neuroscience. More recently he gave the inaugural keynote lecture at the Decade of the BrainConferenceheldbytheNationalInstituteofMentalHealthattheLibraryofCongress.Healsogave the first Hans Lucas Teuber lecture at MIT, the Rudel-Moses lecture at Columbia, the Dorcas Cumming (inauguralkeynote)lectureatColdSpringHarbor,theRaymondAdamslectureatMassachusettsGeneral Hospital,Harvard,andthepresidentialkeynotelectureattheannualmeetingoftheAmericanAcademyof Neurology. Dr. Ramachandran has published over 120 papers in scientific journals, including three invited review articlesinScientificAmerican,andiseditor-in-chiefofAcademicPress’acclaimedEncyclopediaofHuman Behavior. His work is featured frequently in the major news media, and Newsweek magazine recently named him a member of ‘‘the century club’’: one of the hundred most prominent people to watch in this century. Action Potential JOHNA.WHITE BostonUniversity I. BasicPropertiesoftheActionPotential voltage clamp An experimental protocol in which membrane potentialiscontrolled,usuallyinastepwisefashion,andresulting II. ClassicalDescriptionsoftheActionPotential transmembranecurrentsaremeasured. III. CurrentTopicsRelatedtotheActionPotential voltage-gatedionchannels Transmembraneproteinsthatopen inresponsetochangesinmembranepotential,allowingaparticular ionicspeciestocrossthemembrane. GLOSSARY The action potential is the all-or-nothing electrical impulse activation The time-dependent growth of a membrane conduc- used to communicate information between neurons tanceinresponsetomembranedepolarization. andfromneuronstomusclefibers.Theenergyusedto all-or-nothing A term that refers to the property that action generate action potentials is in the form of electro- potentials, if they occur, have a stereotyped shape that is largely chemical gradients of ions (in particular, sodium and independentofthesizeandformofthesuprathresholdstimulus. potassium) that are established by ion pumps. The currentclamp Anexperimentalprotocolinwhichtransmembrane rising phase of action potentials is caused by the current is controlled, usually at a series of constant values, and resultingtransmembranepotentialsaremeasured. autocatalytic activation of many Na+-selective ion deactivation Thetime-dependentreversalofactivationinresponse channels in response to sufficiently large increases in tomembranehyperpolarization;leadstoadecreaseinmembrane membrane potential. The falling phase of the action conductance. potential is caused by two factors that develop more deinactivation Thetime-dependentreversalofinactivation,trig- slowlybutdominatetheelectricalresponseafterafew gered by hyperpolarization; leads to an increase in membrane milliseconds:theinactivationofsodiumchannelsand conductance. the activation of potassium channels, both of which depolarization Makingmembranepotentiallessnegative. occur in response to depolarization. Understanding hyperpolarization Makingmembranepotentialmorenegative. thediversemechanismsunderlyingelectricalexcitabil- inactivation Thetime-dependentdeclineofaconductance(e.g.,the ityinneuronsremainsarichfieldofexperimentaland Na+conductance),whichfollowsafteritsactivation;triggeredby theoretical study, with wide-ranging implications for depolarization. humanhealth. membrane potential The voltage difference across the neural membrane, determined by the balance of ionic fluxes across the plasmamembrane. I. BASIC PROPERTIES OF THE refractoryperiod Theperiodimmediatelyafteranactionpoten- ACTION POTENTIAL tial,inwhichitisdifficultorimpossibletoinduceasecondaction potential. spaceclamp Theconditioninwhichmembranepotentialisthe The basic properties of the action potential can be samethroughoutthespatialextentofthecell. studied using a microelectrode constructed from a threshold Thevalueofmembranecurrentormembranepotential glass capillary tube with a fine tip and containing necessarytoinduceanactionpotential. artificial intracellular solution. This microelectrode, EncyclopediaoftheHumanBrain Copyright2002,ElsevierScience(USA). 1 Volume1 Allrightsreserved. 2 ACTIONPOTENTIAL insertedintothecellbodyoraxonofaneuron(Fig.1a, potentialquicklyrisestoavaluewellabove0mVand inset), measures the value of membrane potential then falls over the course of 1–5msec to its resting relative to the extracellular space. At rest, typical value(Fig.1a,middle).Often,thefallingphaseofthe values of membrane potential range from (cid:1)40 to action potential undershoots resting potential tem- (cid:1)90mV.Passingpositiveelectricalcurrentintothecell porarily. The action potential is said to be all-or- depolarizes it (i.e., makes membrane potential less nothing because it occurs only for sufficiently large negative). In response to small depolarizing stimuli, depolarizing stimuli, and because its form is largely theneuron’sresponseissmallaswell(Fig.1a,bottom). independentofthestimulusforsuprathresholdstimu- Inresponsetolargerstimuli,aboveathresholdvalue, li. In some neurons, a single action potential can be theresponseisfundamentallydifferent;themembrane induced by the offset of a hyperpolarizing stimulus a c 30 25 Applied Current 2m ) I0 c 20 A/ d ( 15 ol h es 10 I = 20 A/cm2 25 mV hr 0 T 5 2.5 ms 0 I = 5 A/cm2 0 2 4 6 8 10 0 Stimulus Duration (ms) d 250 ARP b RRP 200 Applied Current I0 2cm ) 150 A/ d ( 100 ol h ISI s e 25 mV hr 50 T 2.5 ms I = -10 A/cm2 0 0 0 5 10 15 20 25 Interstimulus Interval (ms) Figure 1 Basic properties of the action potential. (a) Traces show responses of a simulated space-clamped squid axon (T¼6.31C) to intracellularlyinjectedcurrentpulsesofduration0.5msec(toptrace).Thesimulatedrecordingconfigurationisshownintheinset.Sufficiently largeinputsevokeall-or-nothingactionpotentials(middletrace).Theresponseisminimaltosubthresholdstimuli(bottomtrace).Theinset showsthebasicrecordingconfiguration.(b)Asimulationdemonstratinganode-breakexcitationinresponsetotheoffsetofahyperpolarizing currentpulse(duration¼10msec).(c)Currentthreshold(theminimalamplitudeofacurrentstepnecessarytoevokeanactionpotential) plottedvsstimulusduration.(d)Simulationresultsdemonstratingrefractoriness.Twocurrentpulses(duration¼0.5mseceach)weredelivered tothemodel,withinterstimulusinterval(ISI)variedsystematically.Thefirstpulsehadmagnitudetwicethethresholdforevokinganaction potential.They-axisshowsthemagnitudeofthesecondpulsenecessarytoevokeaspike.ForISIo15msec,thresholdisaboveitsnormalvalue (dashedline).Duringtherelativerefractoryperiod(RRP),thresholdiselevated;duringtheabsoluterefractoryperiod(ARP),itisnotpossible toevokeasecondactionpotential. 3 ACTIONPOTENTIAL a b 140 120 20 A/cm2 s ) 100 s/ e k 80 pi s e ( 60 at 7 A/cm2 20 mV g R 40 5 ms Firin 20 0 0 A/cm2 -20 -10 0 10 20 30 40 50 60 70 80 I ( AA//ccmm22 ) app Figure2 Spikeratedependsonthemagnitudeofappliedcurrent.(a)Simulatedtracesofspace-clampedsquidgiantaxon(T¼6.31C)to constantappliedcurrent.(b)Firingrateincreaseswithincreasingappliedcurrent.Notethattheminimalfiringrateiswellabovezerospikes/sec. (Fig. 1b). This phenomenon is called anodal break onenodeofRanviertothenext,greatlyincreasingthe excitationorreboundspiking. speedofpropagation. The value of threshold depends on the duration of thestimulus(Fig.1c);briefstimuli arerequiredtobe larger to evoke an action potential. Threshold also II. CLASSICAL DESCRIPTIONS OF THE dependsonmoresubtlefeaturesofthestimulus,such ACTION POTENTIAL asitsspeedofonset.Forashorttimeafteranaction potential has occurred, it is impossible to evoke a A. Electrochemical Potentials and Voltage- secondone(Fig.1d).Thisperiodisreferredtoasthe Dependent Membrane Conductances absolute refractory period (ARP). After the ARP comes the relative refractory period (RRP), in which anactionpotentialcanbeevoked,butonlybyalarger Changes in electrical potential in excitable cells are stimulus than was required to evoke the first action driven by movement of ions through ion-specific potential. Stimulation by an ongoing suprathreshold membrane conductances. For a perfectly specific stimulus leads to repetitive firing at a rate that is conductance G, the current across the membrane constantonceanytransientshavesettledout(Fig.2a). I¼G (cid:2) (Vm(cid:1)Vn),whereVmistheelectricalpotential The rate of repetitive firing increases with increasing across the membrane and Vn is the equilibrium depolarization (Fig. 2b), eventually approaching the potentialfortheion,givenbytheNernstequation: (cid:1) (cid:2) limitimposedbytheARP. RT ½X (cid:3)o Once initiated, the action potential propagates Vn ¼z Fln ½Xn(cid:3)i n n downtheaxonatanapproximatelyconstantvelocity. The leading edge of the action potential depolarizes where R¼8.314 J/(molK) is the gas constant, T is adjacent unexcited portions of the axon, eventually absolute temperature, zn is the valence of ion n, bringingthemtothreshold.Inthewakeoftheaction F¼9.648 (cid:2) 104C/mol and is Faraday’s constant, potential, the membrane is refractory, preventing [Xn]o is the outer concentration of ion n, and [Xn]i is reexcitation of previously active portions of the cell. the inner concentration of ion n. Intuitively, the In unmyelinated axons, the action potential travels equilibrium potential is the value of membrane smoothly, with constant shape and at constant velo- potential at which ionic fluxes due to concentration city.Inmyelinatedaxons,conductionissaltatory:The gradients and voltage gradients cancel one another, actionpotential‘‘jumps’’nearlyinstantaneouslyfrom leading to zero net flux of the ion. Note that ionic
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