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BIOLOGICAL AND MEDICAL PHYSICS SERIES Springer-Verlag Berlin Heidelberg GmbH ONLINELIBRARY Physics and Astronomy http://www.springer.de/phys/ BIOLOGICAL AND MEDICAL PHYSICS SERIES The field of biological and medical physics is a broad, multidisciplinary, and dynamic one, touching on manyareas ofresearch in physics,biology,chemistry, and medicine.The Biologicaland MedicalPhysicsSeries is intended to be comprehensive, covering a broad rangeoftopicsimportanttothestudyofbiologicalandmedicalphysics.Itsgoalistoprovide scientists, medicaldoctors and engineers withtextbooks, monographsand referencebooks toaddressthegrowingneedforinformation. Editor-in-Chief: IvarGiaever,RensselaerPolytechnicInstitute, Troy,NewYork,USA EliasGreenbaum,OakRidgeNationalLaboratory, OakRidge,Tennessee,USA SolM.Gruner,DepartmentofPhysics, PrincetonUniversity, Princeton,Newjersey,USA judithHerzfeld,DepartmentofChemistry, EditorialBoard: BrandeisUniversity, Waltham, Massachusetts,USA Pierre Ioliot,InstitutedeBiologie Masuo Aizawa,DepartmentofBioengineering, Physico-Chimique,FondationEdmond TokyoInstituteofTechnology,Yokohama, japan deRothschild,Paris,France NormaAllewell,DepartmentofBiochemistry, LajosKeszthelyi,InstituteofBiophysics,Hungarian UniversityofMinnesota,SI.Paul,Minnesota,USA AcademyofSciences,Szeged,Hungary OlafS.Andersen,DepartmentofPhysiology, RobertS.Knox,DepartmentofPhysics Biophysics&MolecularMedicine, and Astronomy,UniversityofRochester,Rochester, CornellUniversity. NewYork,USA NewYork,USA RobertH.Austin. DepartmentofPhysics. Aaron Lewis,DepartmentofAppliedPhysics. PrincetonUniversity,Princeton,Newjersey,USA HebrewUniversity, jerusalem,Israel jamesBarber,DepartmentofBiochemistry, ImperialCollegeofScience,Technology StuartM.Lindsay,DepartmentofPhysics and Astronomy,ArizonaStateUniversity, andMedicine,London,England Tempe,Arizona,USA HowardC.Berg,DepartmentofMolecular DavidMauzerall,RockefellerUniversity, andCellularBiology,HarvardUniversity, NewYork.NewYork,USA Cambridge,Massachusetts,USA EugenieV.Mielczarek,DepartmentofPhysics Victor Bloomfield,DepartmentofBiochemistry, andAstronomy,GeorgeMasonUniversity, Fairfax, UniversityofMinnesota,St.Paul,Minnesota,USA Virginia,USA RobertCallender,DepartmentofBiochemistry, AlbertEinsteinCollegeofMedicine, PeterB.Moore,DepartmentofChemistry, Bronx,NewYork,USA YaleUniversity, NewHaven.Connecticut,USA BrittonChance,DepartmentofBiochemistry! V.AdrianParsegian,PhysicalScienceLaboratory, NationalInstitutesofHealth,Bethesda, Biophysics,UniversityofPennsylvania. Maryland,USA Philadelphia,Pennsylvania.USA LindaS.Powers, NCDMF:ElectricalEngineering, StevenChu,DepartmentofPhysics, UtahStateUniversity,Logan.Utah,USA StanfordUniversity,Stanford,California,USA EarlW.Prohofsky,DepartmentofPhysics, Louis[.DeFelice,DepartmentofPharmacology. PurdueUniversity, WestLafayette,Indiana,USA VanderbiltUniversity,Nashville,Tennessee,USA AndrewRubin, DepartmentofBiophysics,Moscow johannDeisenhofer,Howard Hughes Medical Institute,TheUniversityofTexas,Dallas, StateUniversity,Moscow,Russia Texas,USA MichaelSeibert,NationalRenewableEnergy GeorgeFeher,DepartmentofPhysics, Laboratory,Golden,Colorado,USA UniversityofCalifornia,SanDiego,Lajolla, DavidThomas,DepartmentofBiochemistry, California,USA UniversityofMinnesotaMedicalSchool, Hans Frauenfelder,CNLS,MSB258, Minneapolis,Minnesota,USA LosAlamosNationalLaboratory,LosAlamos, Samuel[,Williamson,DepartmentofPhysics, NewMexico,USA NewYorkUniversity,NewYork,NewYork,USA John Milton Peter Iung (Eds.) Epilepsy as a Dynamic Disease With 170 Figures, 24 Color Plates, and 11Tables Springer Dr.John Milton UniversityofChicago,DepartmentofNeurology Chicago, IL60637,USA e-mail:[email protected] Dr.Peter lung Ohio University, DepartmentofPhysicsandAstronomy andInstituteforQuantitativeBiology Athens,OH45701,USA e-mail:[email protected] LibraryofCongress Cataloging inPublicationData:Epilepsyasadynamicdisease/ JohnMilton.Peterlung (eds.)p.em.- (Biologicalandmedicalphysicsseries,ISSN1618-7210)(Physicsandastronomyonlinelibrary) Includesbibliographicalreferencesandindex.ISBN3540427627(alk.paper)1.Epilepsy.2.Brainstimulation.3. Convulsions.4.Electroencephalography.5.Electriccountershock.I.Milton.John,1950-II.lung,Peter,1957 III.Series.IV.Series:Physicsandastronomyonlinelibrary.RC372.E66322002 616.8·53-dC21 2002030470 ISSN1618-7210 ISBN978-3-642-07665-7 ISBN978-3-662-05048-4(eBook) DOI 10.1007/978-3-662-05048-4 This work is subject to copyright. Allrights are reserved. whether the whole or part of the material is concerned,specificallythe rights oftranslation, reprinting,reuse ofillustrations,recitation,broadcasting, reproductiononmicrofilmorinanyotherway,andstorageindatabanks. Duplicationofthispublicationor partsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,inits currentversion, andpermissionforusemust alwaysbeobtainedfrom Springer-Verlag.Violationsareliable forprosecutionundertheGermanCopyrightLaw. http://www.springer.de ©Springer-VerlagBerlinHeidelberg2003 OriginallypublishedbySpringer-VerlagBerlinHeidelbergNewYorkin2003. Softcoverreprintofthehardcover Istedition2003 Theuseofgeneraldescriptivenames, registerednames, trademarks,etc.inthispublicationdoesnot imply, evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsand regulationsandthereforefreeforgeneraluse. CoverconceptbyeStudioCalamarSteinen usingabackgroundpicturefrom TheProteinDatabank(1Kzu). CourtesyofDr.AntoineM.vanOijen,DepartmentofMolecularPhysics,HuygensLaboratory.LeidenUniver sity,TheNetherlands.ReprintedwithpermissionfromScience285(1999)400-402("UnravelingtheElectronic StructureofIndividualPhotosyntheticPigment-ProteinComplexes",byA.M.vanOijenetal.)Copyright1999, AmericanAssociation fortheAdvancementofScience. Typesettingbytheeditors Dataconversion:FrankHerweg,Leutershausen Coverproduction:design&productionGmbH,Heidelberg Printedonacid-freepaper SPIN10855588 57/3141/ba-543 210 Preface Since the time of Hippocrates, epilepsy has been felt to be related to an imbalance in the regulatory activity of the brain; caused by either a relative paucity of inhibition or an excess ofexcitation. Present-day readers will find it hard to believe that only 125 years ago, the management of persons with intractable seizures included confinement to life on a farm [1]. The peace and quiet of country life was felt to be necessary to prevent the extremes ofemotion and intellectual activity that predisposed to the convulsive state. Following this rationalephysicians would advise patients to avoid intellectual thought, extremes in hot and cold, wine, constipation, sex, and to lie in bed with the head raised to assist the circulation of the brain! Two developments that have had a major impact on the lives of people with epilepsy are the discovery of anti-convulsant medications and the in vention of the automobile. Anticonvulsant medications save lives and have enabled peoplewith epilepsy to re-enter the main stream ofsociety. However, the drug regulatory bodies have a very different definition for an effective treatment from that of a typical person with epilepsy. Regulatory approval requires that the treatment result in a statistically significant reduction in seizure frequency. To the sufferer the only acceptable definition of a good treatment is no seizures, i.e. the seizure frequency must become zero. Typ ically the reduction in seizure frequency is not sufficient for patients with epilepsy to be able to legally operate an automobile.Thus many occupations remain unattainable;thesocial stigmaremains high.This limitation together with the non-trivial cognitive side effects of anti-convulsant medications re sults in a quality of life of people with epilepsy which is as dismal as those suffering terminal cancer or the disabilities that accompany chronic medical conditions [2,3]. There isan inherent illogicality tothe useofmedications to treat a parox ysmal disorder such as epilepsy. Why should a person take medications ev eryday to prevent an event which might occur once every six months? The present day answer is that medications must be taken everyday since wecan not predict on which day the seizure willoccur.However,recent research has suggested that it may be possible to predict a seizure up to 30 min. before it occurs (Chaps. 12 and 13). This observation suggests the feasibility of an alternative therapeutic strategy. In this text we consider the possibility of VI Preface constructing an implantable device that would be capable ofdetecting when a seizure occurs and then, at the appropriate time, delivering a carefully honed stimulus designed to abort the seizure. Thus, very much in the spirit of the implantable cardiac defibrillators, could a "brain defibrillator" be de veloped to treat epilepsy? The advantage of this type of strategy is that the treatment would be called upon only when needed. The philosophy of this text is in the spirit of Herbert H. Jasper and his colleagues innovative text, Basic Mechanisms of the Epilepsies which was first published in 1969 [4]. Experts in epilepsy, bio-engineering, and dynam ical systems theory have been brought together to discuss the treatment of epilepsy. Each of these experts has been encouraged by us to do their best to apply their knowledge to a topic that in many cases is unfamiliar to them and for which there may be,in fact, little known.In the next section we give an overview of the text so that the reader will better appreciate the flow of the discussion. We anticipate that this text will be used by individuals with as varied a background as the contributors. Thus wehave also included some chapters that provide essential background to make the text self-contained. The production of a working prototype of a "brain defibrillator" based on principles of the nonlinear dynamics of neurons and neural populations may seem far-fetched. However, we hope that in reading this text readers will come to our realization that there is no obvious reason why working prototypes of brain defibrillators do not already exist. On the other hand, perhaps this book will make at least one reader angry enough at our naviete to go to the laboratory, do the necessary experiments, and demonstrate to us how it really should be done! Chicago, Athens, John Milton June 2002 Peter Jung Contents Roadmap XVII 1 Medically Intractable Epilepsy J. Milton 1 1.1 Temporal Lobe Epilepsy. ................................... 1 1.2 Prevalence of MIE ......................................... 2 1.3 The Evolving Epileptic Syndrome 4 1.4 Lesional Epilepsy. ......................................... 5 1.5 Do Seizures Begat Seizures? 6 1.6 Neuronal Re-organization. .................................. 7 1.7 Epilepsy as a Learning Disorder " 11 1.8 Dynamical Aspects of Epilepsy " 13 1.9 Conclusions " 14 2 Insights into Seizure Propagation from Axonal Conduction Times J. Milton 15 2.1 Axonal Conduction Velocities ............................... 16 2.1.1 Unmyelinated Axons (Path 1) ........................ 16 2.1.2 Myelinated Axons (Path 2) 17 2.2 Human Seizure Propagation Rates........................... 19 2.3 Sub-cortical Mediated Spread (Path 3) ....................... 21 2.4 Discussion ................................................ 22 3 Dynamic Epileptic Systems Versus Static Epileptic Foci? S.A. Chkhenkeli and J. Milton. ................................... 25 3.1 Failures of Epilepsy Surgery 25 3.2 Dynamic Epileptic Systems ................................. 26 3.3 Amygdalo-Hippocampal Interactions ......................... 28 3.4 Propagation Pathways ..................................... 30 3.5 Extratemporal Seizure Propagation .......................... 32 3.6 Inhibitory Mechanisms ..................................... 34 3.7 Conclusion ............................................... 35 VIII Contents 4 Neuroglia, the Other Brain Cells P. Jung, A.H. Cornell-Bell, A. deGrauw, and R. Strawsburg .......... 37 4.0.1 Voltage-gated Na+ Channels in Astrocytes and Action Potentials ............................... 38 4.0.2 Calcium Signaling in Glial Cells 39 4.1 Cluster Decomposition and Cluster Entropy of Ca2+ Waves..... 42 4.2 Calcium Signaling in Hyperexcitable Tissues .................. 44 4.2.1 Cultures of Human Nervous Tissue 45 4.3 Neuron-Glial Signaling ..................................... 47 4.4 Conclusions............................................... 49 5 The Electroencephalogram (EEG): A Measure of Neural Synchrony J.S. Ebersole and J. Milton ,...................... .... 51 5.1 Cortical Architecture 51 5.1.1 Laminar Organization ............................... 51 5.1.2 Columnar Organization.............................. 53 5.2 Generation of the EEG ..................................... 54 5.3 Neuronal Dipole Layers 56 5.4 Role of Glial Cells ......................................... 57 5.5 Epileptic Spikes ........................................... 57 5.6 Seizures .................................................. 60 5.7 Ictal EEG Patterns. ....................................... 62 5.8 Limitations of the EEG 64 5.9 Concluding Remarks ....................................... 67 6 Electrocorticographic Coherence Patterns of Epileptic Seizures V.L. Towle, F. Ahmad, M. Kohrman, K. Hecox, and S. Chkhenkeli .... 69 6.1 Lateral Coherence ......................................... 69 6.2 ECoG Recordings ,.......................... 71 6.3 Ictal Coherence 71 6.4 Interictal Coherence ....................................... 76 7 Synchronization of Synaptically-Coupled Neural Oscillators P.C. Bressloffand S. Coombes .................................... 83 7.1 Neural Oscillator Models ................................... 88 7.1.1 Conductance-based Models 88 7.1.2 Class I and Class II Excitability ...................... 90 7.1.3 Phase Resetting Curves...... .. .................. .... 92 7.1.4 Periodic Forcing: Frequency-locking, Phase-locking and Synchronization ... 93 Contents IX 7.1.5 Integrate-and-fire Model ............................. 96 7.2 Mutual Synchronization in a Network of Synaptically Coupled Oscillators .......................... 97 7.2.1 Network Model with Synaptic Coupling 97 7.2.2 Synchronization in the Weak Coupling Regime 99 7.2.3 Synchronization in the Strong Coupling Regime 105 7.3 Synaptically Generated Traveling Waves 110 8 Controlling Neural Synchrony with Periodic and Aperiodic Stimuli J.D. Hunter and .J. Milton 115 8.1 Arnold Tongue Diagrams 116 8.1.1 Entrainment Versus Synchrony 117 8.1.2 Synaptic Inputs 118 8.1.3 Epileptic Hippocampal Slices 119 8.2 Aperiodic Current Inputs 121 8.3 Rate-dependent Control of Neural Synchrony 123 8.4 Inhibitory Control of Neural Synchrony 124 8.5 Periodically Stimulated Inhibitory Networks 127 8.6 Discussion 129 9 Modeling Pattern Formation in Excitable Media: The Legacy of Norbert Wiener A.S. Mikhailov 131 9.1 Excitable Media 132 9.2 Spiral Waves Around Obstacles 134 9.3 Free Spiral Waves 136 9.4 Kinematics of Curved Waves with Open Ends 142 9.5 Complex Anisotropy 145 9.6 Resonances 148 9.7 Meandering 154 9.8 Fibrillation and Turbulence 159 9.9 Conclusions 163 10 Are Cardiac Waves Relevant to Epileptic Wave Propagation? A.T. Winfree 165 10.1 Introduction 165 10.2 Different Molecular Mechanisms of Propagation 166 10.3 Electrical Propagation Between Adjacent Cells 168 10.4 Chemical Propagation Between Adjacent Cells 175 10.5 Electrical Propagation in the Long-Range Fast-lane 176 10.6 An Alternative Description of Propagation in Complex Media 178 10.7 Electrical Stimulation of Excitable Tissues 186 X Contents 11 Pattern Formation in the Microbial World: Dictyostelium Discoideum H. Levine 189 11.1 Spiral Waves and Aggregation 189 11.2 Wavefield Evolution 194 11.2.1 Cell Streaming and Mound Formation 199 11.3 Cell Sorting and Tip Formation 206 11.4 Reprise 210 12 Predicting Epileptic Seizures Robert Savit 213 12.1 Empiricism and Theory 214 12.2 Predicting Seizures 216 12.3 Simple Nonlinear Measures 218 12.4 Role of Non-stationarity and Non-autonomy 223 12.5 Non-autonomy and the Metaphase Space 225 12.6 Nonautonomy in Temporal Lobe Epilepsy 227 12.7 Conclusion 232 12.8 Prospective 233 12.9 Addendum 235 13 Comparison of Methods for Seizure Detection K.K. Jerger, T.!. Netoff, J.T. Francis, T. Sauer, 1. Pecora, S.L. Weinstein, S.J. Schiff 237 13.1 Methods for Seizure Prediction 238 13.1.1 Power Spectrum 238 13.1.2 Cross-correlation 239 13.1.3 Principal Components Analysis 239 13.1.4 Wavelets 240 13.1.5 Phase Correlation 240 13.1.6 Correlation Dimension 241 13.1.7 Mutual Prediction 242 13.2 Comparison of Seizure Detection Methods 242 13.3 Discussion 246 14 Direct Deep Brain Stimulation: First Steps Towards the Feedback Control of Seizures S.A. Chkhenkeli 249 14.1 Background 249 14.1.1 Stimulation of the Caudate Nucleus 249 14.1.2 Stimulation of the Dentate Nucleus 253 14.2 Clinical Experience 256 14.3 Feedback Control of Deep Brain Stimulation 257

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