Table Of ContentSELF-ORGANIZEDBIOLOGICALDYNAMICSAND
NONLINEARCONTROL
The growing impact of nonlinear science on biology and medicine is fundamentally
changingourviewoflivingorganismsanddiseaseprocesses.Thisbookintroducesthe
applicationto biomedicineof a broad range of interdisciplinaryconcepts from non-
linear dynamics, such as self-organization, complexity, coherence, stochastic reson-
ance,fractals,andchaos.
The book comprises 18 chapters written by leading figures in the field. It covers
experimentalandtheoreticalresearch,aswellastheemergingtechnologicalpossibili-
ties such as nonlinear control techniques for treating pathological biodynamics,
includingheartarrhythmiasandepilepsy.Thechaptersreviewself-organizeddynam-
ics at all major levels of biological organization, ranging from studies on enzyme
dynamicstopsychophysicalexperimentswithhumans.Emphasisisonquestionssuch
ashowlivingsystemsfunctionasawhole,howtheytransduceandprocessdynamical
information,andhowtheyrespondtoexternalperturbations.Theinvestigatedstimuli
cover a variety of different influences, including chemical perturbations, mechanical
vibrations, thermal fluctuations, light exposures and electromagnetic signals. The
interaction targets include enzymes and membrane ion channels, biochemical and
geneticregulatorynetworks,cellularoscillatorsandsignalingsystems,andcoherentor
chaoticheartandbraindynamics.Amajorthemeofthebookisthatanyintegrative
model of the emergent complexity observed in dynamical biology is likely to be
beyondstandard reductionistapproaches.It also outlinesfuture researchneedsand
opportunitiesrangingfromtheoreticalbiophysicstocellandmolecularbiology,and
biomedicalengineering.
JAN WALLECZEK is Head of the Bioelectromagnetics Laboratory and a Senior
ResearchScientistintheDepartmentofRadiationOncologyatStanfordUniversity
SchoolofMedicine.HestudiedbiologyattheUniversityofInnsbruck,Austria,and
thenwas a Doctoral Fellow and ResearchAssociate at the Max-Planck Institute of
MolecularGeneticsinBerlin.Subsequently,hemovedtoCalifornia,wherehewasa
ResearchFellowintheResearchMedicineandRadiationBiophysicsDivisionatthe
Lawrence Berkeley National Laboratory, University of California, Berkeley, and at
the Veterans Administration Medical Center in Loma Linda before founding the
BioelectromagneticsLaboratory at Stanford University in 1994. His recent publica-
tionsincludetopicssuchasthenonlinearcontrolofbiochemicaloscillators,coherent
electron spin kinetics in magnetic field control of enzyme dynamics, nonlinear bio-
chemicalamplification,andstochasticresonanceinbiologicalchaospatterndetection.
Jan Walleczek is a Founding Fellow of the Fetzer Institute, a Chair of the Gordon
ResearchConferenceonBioelectrochemistry,andanEditorialBoardmemberofthe
journalBioelectromagnetics.
XXXXXX
SELF-ORGANIZED BIOLOGICAL
DYNAMICS AND NONLINEAR
CONTROL
TowardUnderstandingComplexity,ChaosandEmergentFunction
inLivingSystems
EDITED BY
JAN WALLECZEK
DepartmentofRadiationOncology,StanfordUniversity
Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, São Paulo
Cambridge University Press
The Edinburgh Building, Cambridge , United Kingdom
Published in the United States by Cambridge University Press, New York
www.cambridge.org
Information on this title: www.cambridge.org/9780521624367
© Cambridge University Press 2000
This book is in copyright. Subject to statutory exception and to the provision of
relevant collective licensing agreements, no reproduction of any part may take place
without the written permission of Cambridge University Press.
First published in print format 2000
ISBN-13 978-0-511-06608-5 eBook (NetLibrary)
ISBN-10 0-511-06608-2 eBook (NetLibrary)
ISBN-13 978-0-521-62436-7 hardback
ISBN-10 0-521-62436-3 hardback
Cambridge University Press has no responsibility for the persistence or accuracy of
s for external or third-party internet websites referred to in this book, and does not
guarantee that any content on such websites is, or will remain, accurate or appropriate.
Contents
Listofcontributors pagevii
Preface xi
Thefrontiersandchallengesofbiodynamicsresearch JanWalleczek 1
PartI Nonlineardynamicsinbiologyandresponsetostimuli 13
1 Externalsignalsandinternaloscillationdynamics:principalaspects
andresponseofstimulatedrhythmicprocesses FriedemannKaiser 15
2 Nonlineardynamicsinbiochemicalandbiophysicalsystems:from
enzymekineticstoepilepsy RaimaLarter,RobertWorthand
BrentSpeelman 44
3 Fractalmechanismsinneuronalcontrol:humanheartbeatandgait
dynamicsinhealthanddisease Chung-KangPeng,Jeffrey
M.HausdorffandAryL.Goldberger 66
4 Self-organizingdynamicsinhumansensorimotorcoordinationand
perception MingzhouDing,YanqingChen,J.A.ScottKelsoand
BettyTuller 97
5 Signalprocessingbybiochemicalreactionnetworks
AdamP.Arkin 112
PartII Nonlinearsensitivityofbiologicalsystemstoelectromagnetic
stimuli 145
6 Electricalsignaldetectionandnoiseinsystemswithlong-range
coherence PaulC.Gailey 147
7 Oscillatorysignalsinmigratingneutrophils:effectsoftime-varying
chemicalandelectricfields HowardR.Petty 173
8 Enzymekineticsandnonlinearbiochemicalamplificationin
responsetostaticandoscillatingmagneticfields JanWalleczek
andClemensF.Eichwald 193
v
vi Contents
9 Magneticfieldsensitivityinthehippocampus StefanEngstro¨m,
SuzanneBawinandW.RossAdey 216
PartIII Stochasticnoise-induceddynamicsandtransportinbiological
systems 235
10 Stochasticresonance:lookingforward FrankMoss 236
11 Stochasticresonanceandsmall-amplitudesignaltransductionin
voltage-gatedionchannels SergeyM.Bezrukovand
IgorVodyanoy 257
12 Ratchets,rectifiers,anddemons:theconstructiveroleofnoisein
freeenergyandsignaltransduction R.DeanAstumian 281
13 Cellulartransductionofperiodicandstochasticenergysignals
byelectroconformationalcoupling TianY.Tsong 301
PartIV Nonlinearcontrolofbiologicalandotherexcitablesystems 327
14 Controllingchaosindynamicalsystems KennethShowalter 328
15 Electromagneticfieldsandbiologicaltissues:fromnonlinear
responsetochaoscontrol WilliamL.DittoandMarkL.Spano 341
16 Epilepsy:multistabilityinadynamicdisease JohnG.Milton 374
17 Controlandperturbationofwavepropagationinexcitable
systems OliverSteinbockandStefanC.Mu¨ller 387
18 Changingparadigmsinbiomedicine:implicationsforfuture
researchandclinicalapplications JanWalleczek 409
Index 421
Contributors
W.RossAdey
DepartmentofBiomedicalSciences,UniversityofCaliforniaatRiverside,Riverside,CA
92521,USA
AdamP.Arkin
PhysicalBiosciencesDivision,E.O.LawrenceBerkeleyNationalLaboratory,Berkeley,
CA94720,USA
R.DeanAstumian
Departments of Surgery and of Biochemistry and Molecular Biology, University of
Chicago,Chicago,IL60637,USA
SuzanneBawin
Research Service, Veterans Administration Medical Center, Loma Linda, CA 92357,
USA
SergeyM.Bezrukov
LaboratoryofPhysicalandStructuralBiology,NICHD,NationalInstitutesofHealth,
Bethesda,MD20892-0924,USA
YanqingChen
Center for Complex Systems and Brain Sciences, Florida Atlantic University, Boca
Raton,FL33431-0991,USA
MingzhouDing
Center for Complex Systems and Brain Sciences, Florida Atlantic University, Boca
Raton,FL33431-0991,USA
WilliamL.Ditto
LaboratoryforNeuralEngineering,GeorgiaTech/EmoryBiomedicalEngineeringDe-
partment,GeorgiaInstituteofTechnology,Atlanta,GA30332-0535,USA
ClemensF.Eichwald
Bioelectromagnetics Laboratory, Department of Radiation Oncology, School of Medi-
cine,StanfordUniversity,Stanford,CA94305-5304,USA
StefanEngstro¨m
DepartmentofNeurology,VanderbiltUniversityMedicalCenter,NashvilleTN37212-
3375,USA
vii
viii Listofcontributors
PaulC.Gailey
DepartmentofPhysicsandAstronomy,OhioUniversity,Athens,OH45701,USA
AryL.Goldberger
Margret & H. A. Rey Laboratory for Nonlinear Dynamics in Medicine, Harvard
MedicalSchool,BethIsraelDeaconessMedicalCenter,Boston,MA02215,USA
JeffreyM.Hausdorff
Margret & H. A. Rey Laboratory for Nonlinear Dynamics in Medicine, Harvard
MedicalSchool,BethIsraelDeaconessMedicalCenter,Boston,MA00215,USA
FriedemannKaiser
NonlinearDynamicsGroup, Institute of AppliedPhysics, TechnicalUniversity,Darm-
stadt,D-64289,Germany
J.A.ScottKelso
Center for Complex Systems and Brain Sciences, Florida Atlantic University, Boca
Raton,FL33431,USA
RaimaLarter
Department of Chemistry, Indiana University—Purdue University at Indianapolis,
Indianapolis,IN46202,USA
JohnG.Milton
DepartmentofNeurology,UniversityofChicagoHospitals,Chicago,IL60637,USA
FrankMoss
Laboratory for Neurodynamics, Department of Physics and Astronomy, University of
MissouriatStLouis,StLouis,MO63121,USA
StefanC.Mu¨ller
Institut fu¨r Experimentelle Physik—Biophysik, Universita¨tsplatz 2, Otto-von-Guericke-
Universita¨tMagdeburg,Magdeburg,D-39106,Germany
Chung-KangPeng
Margret & H. A. Rey Laboratory for Nonlinear Dynamics in Medicine, Harvard
MedicalSchool,BethIsraelDeaconessMedicalCenter,Boston,MA02215,USA
HowardR.Petty
DepartmentofBiologicalSciences,WayneStateUniversity,Detroit,MI48202,USA
KennethShowalter
Department of Chemistry, West Virginia University, Morgantown, WV 26506-6045,
USA
MarkL.Spano
NavalSurfaceWarfareCenter,SilverSpring,MD20817,USA
BrentSpeelman
Department of Chemistry, Indiana University—Purdue University at Indianapolis,
Indianapolis,IN46202,USA
OliverSteinbock
Institut fu¨r Experimentelle Physik—Biophysik, Universita¨tsplatz 2, Otto-von-Guericke-
Universita¨tMagdeburg,Magdeburg,D-39106,Germany
Listofcontributors ix
TianY.Tsong
Department of Biochemistry, Molecular Biology and Biophysics, University of Min-
nesota,StPaul,MN55108,USA
BettyTuller
Center for Complex Systems and Brain Sciences, Florida Atlantic University, Boca
Raton,FL33431-0991,USA
IgorVodyanoy
OfficeofNavalResearchEurope,223OldMaryleboneRoad,London,NW15TH,UK
JanWalleczek
Bioelectromagnetics Laboratory, Department of Radiation Oncology, School of Medi-
cine,StanfordUniversity,Stanford,CA94305-5304,USA
RobertWorth
Department of Neurosurgery, Indiana University—Purdue University at Indianapolis,
Indianapolis,IN46202,USA
Description:The growing impact of nonlinear science on biology and medicine is fundamentally changing our view of living organisms and disease processes. This book introduces the application to biomedicine of a broad range of concepts from nonlinear dynamics, such as self-organization, complexity, coherence, st