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Medical Science Series
MEDICAL PHYSICS AND
BIOMEDICAL ENGINEERING
B H Brown, R H Smallwood, D C Barber,
P V Lawford and D R Hose
Department of Medical Physics and Clinical Engineering,
University of Sheffield and Central Sheffield University Hospitals,
Sheffield, UK
Institute of Physics Publishing
Bristol and Philadelphia
Copyright © 1999 IOP Publishing Ltd
© IOP Publishing Ltd 1999
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Institute of Physics Publishing and the authors have made every possible attempt to find and contact the
original copyright holders for any illustrations adapted or reproduced in whole in the work. We apologize to
copyright holders if permission to publish in this book has not been obtained.
British Library Cataloguing-in-Publication Data
A catalogue record for this book is available from the British Library.
ISBN 0 7503 0367 0 (hbk)
ISBN 0 7503 0368 9 (pbk)
Library of Congress Cataloging-in-Publication Data are available
Consultant Editor:
J G Webster, University of Wisconsin-Madison, USA
Series Editors:
C G Orton, Karmanos Cancer Institute and Wayne State University, Detroit, USA
J A E Spaan, University of Amsterdam, The Netherlands
J G Webster, University of Wisconsin-Madison, USA
Published by Institute of Physics Publishing, wholly owned by The Institute of Physics, London
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Copyright © 1999 IOP Publishing Ltd
TheMedicalScienceSeriesistheofficialbookseriesoftheInternationalFederationforMedicaland
BiologicalEngineering(IFMBE)andtheInternationalOrganizationforMedicalPhysics(IOMP).
IFMBE
TheIFMBEwasestablishedin1959toprovidemedicalandbiologicalengineeringwithaninternational
presence.TheFederationhasalonghistoryofencouragingandpromotinginternationalcooperationand
collaborationintheuseoftechnologyforimprovingthehealthandlifequalityofman.
TheIFMBEisanorganizationthatismostlyanaffiliationofnationalsocieties.Transnationalorganiza-
tionscanalsoobtainmembership.Atpresentthereare42nationalmembers,andonetransnationalmember
withatotalmembershipinexcessof15000.Anobservercategoryisprovidedtogivepersonalstatusto
groupsororganizationsconsideringformalaffiliation.
Objectives
•Toreflecttheinterestsandinitiativesoftheaffiliatedorganizations.
•Togenerateanddisseminateinformationofinteresttothemedicalandbiologicalengineeringcommunity
andinternationalorganizations.
•Toprovideaninternationalforumfortheexchangeofideasandconcepts.
•Toencourageandfosterresearchandapplicationofmedicalandbiologicalengineeringknowledgeand
techniquesinsupportoflifequalityandcost-effectivehealthcare.
•Tostimulateinternationalcooperationandcollaborationonmedicalandbiologicalengineeringmatters.
•Toencourageeducationalprogrammeswhichdevelopscientificandtechnicalexpertiseinmedicaland
biologicalengineering.
Activities
TheIFMBEhaspublishedthejournalMedicalandBiologicalEngineeringandComputingforover34years.
AnewjournalCellularEngineeringwasestablishedin1996inordertostimulatethisemergingfieldin
biomedicalengineering.InIFMBENewsmembersarekeptinformedofthedevelopmentsintheFederation.
ClinicalEngineeringUpdateisapublicationofourdivisionofClinicalEngineering.TheFederationalso
hasadivisionforTechnologyAssessmentinHealthCare.
Everythreeyears,theIFMBEholdsaWorldCongressonMedicalPhysicsandBiomedicalEngineering,
organizedincooperationwiththeIOMPandtheIUPESM.Inaddition,annual,milestone,regionalconferences
areorganizedindifferentregionsoftheworld,suchastheAsiaPacific,Baltic,Mediterranean,Africanand
SouthAmericanregions.
TheadministrativecounciloftheIFMBEmeetsonceortwiceayearandisthesteeringbodyforthe
IFMBE.ThecouncilissubjecttotherulingsoftheGeneralAssemblywhichmeetseverythreeyears.
ForfurtherinformationontheactivitiesoftheIFMBE,pleasecontactJosAESpaan,ProfessorofMedical
Physics,AcademicMedicalCentre,UniversityofAmsterdam,POBox22660,Meibergdreef9,1105AZ,Am-
sterdam,TheNetherlands.Tel:31(0)205665200.Fax:31(0)206917233.E-mail:IFMBE@amc.uva.nl.
WWW:http://vub.vub.ac.be/∼ifmbe.
IOMP
The IOMP was founded in 1963. The membership includes 64 national societies, two international organiza-
tions and 12 000 individuals. Membership of IOMP consists of individual members of the Adhering National
Organizations. Two other forms of membership are available, namely Affiliated Regional Organization and
Corporate Members. The IOMP is administered by a Council, which consists of delegates from each of the
Adhering National Organization; regular meetings of Council are held every three years at the International
Copyright © 1999 IOP Publishing Ltd
Conference on Medical Physics (ICMP). The Officers of the Council are the President, the Vice-President and
the Secretary-General. IOMP committees include: developing countries, education and training; nominating;
and publications.
Objectives
•To organize international cooperation in medical physics in all its aspects, especially in developing countries.
• To encourage and advise on the formation of national organizations of medical physics in those countries
which lack such organizations.
Activities
Official publications of the IOMP are Physiological Measurement, Physics in Medicine and Biology and the
Medical Science Series, all published by Institute of Physics Publishing. The IOMP publishes a bulletin
Medical Physics World twice a year.
Two Council meetings and one General Assembly are held every three years at the ICMP. The most
recent ICMPs were held in Kyoto, Japan (1991), Rio de Janeiro, Brazil (1994) and Nice, France (1997). The
next conference is scheduled for Chicago, USA (2000). These conferences are normally held in collaboration
with the IFMBE to form the World Congress on Medical Physics and Biomedical Engineering. The IOMP
also sponsors occasional international conferences, workshops and courses.
For further information contact: Hans Svensson, PhD, DSc, Professor, Radiation Physics Department,
University Hospital, 90185 Umeå, Sweden. Tel: (46) 90 785 3891. Fax: (46) 90 785 1588. E-mail:
Hans.Svensson@radfys.umu.se.
Copyright © 1999 IOP Publishing Ltd
CONTENTS
PREFACE
PREFACETO‘MEDICALPHYSICSANDPHYSIOLOGICALMEASUREMENT’
NOTESTOREADERS
ACKNOWLEDGMENTS
1BIOMECHANICS
1.1Introductionandobjectives
1.2Propertiesofmaterials
1.2.1Stress/strainrelationships:theconstitutiveequation
1.2.2Bone
1.2.3Tissue
1.2.4Viscoelasticity
1.3Theprinciplesofequilibrium
1.3.1Forces,momentsandcouples
1.3.2Equationsofstaticequilibrium
1.3.3Structuralidealizations
1.3.4Applicationsinbiomechanics
1.4Stressanalysis
1.4.1Tensionandcompression
1.4.2Bending
1.4.3Shearstressesandtorsion
1.5Structuralinstability
1.5.1Definitionofstructuralinstability
1.5.2Whereinstabilityoccurs
1.5.3Bucklingofcolumns:Eulertheory
1.5.4Compressivefailureofthelongbones
1.6Mechanicalworkandenergy
1.6.1Work,potentialenergy,kineticenergyandstrainenergy
1.6.2Applicationsoftheprincipleofconservationofenergy
1.7Kinematicsandkinetics
1.7.1Kinematicsoftheknee
1.7.2Walkingandrunning
1.8Dimensionalanalysis:thescalingprocessinbiomechanics
1.8.1Geometricsimilarityandanimalperformance
1.8.2Elasticsimilarity
1.9Problems
1.9.1Shortquestions
Copyright © 1999 IOP Publishing Ltd
1.9.2Longerquestions
2BIOFLUIDMECHANICS
2.1Introductionandobjectives
2.2Pressuresinthebody
2.2.1Pressureinthecardiovascularsystem
2.2.2Hydrostaticpressure
2.2.3Bladderpressure
2.2.4Respiratorypressures
2.2.5Footpressures
2.2.6Eyeandearpressures
2.3Propertiesoffluidsinmotion:theconstitutiveequations
2.3.1Newtonianfluid
2.3.2Otherviscositymodels
2.3.3Rheologyofblood
2.3.4Virchow’striad,haemolysisandthrombosis
2.4Fundamentalsoffluiddynamics
2.4.1Thegoverningequations
2.4.2Classificationofflows
2.5Flowofviscousfluidsintubes
2.5.1Steadylaminarflow
2.5.2Turbulentandpulsatileflows
2.5.3Branchingtubes
2.6Flowthroughanorifice
2.6.1Steadyflow:Bernoulli’sequationandthecontinuityequation
2.7Influenceofelasticwalls
2.7.1Windkesseltheory
2.7.2Propagationofthepressurepulse:theMoens–Kortewegequation
2.8Numericalmethodsinbiofluidmechanics
2.8.1Thedifferentialequations
2.8.2Discretizationoftheequations:finitedifferenceversusfiniteelement
2.9Problems
2.9.1Shortquestions
2.9.2Longerquestions
3PHYSICSOFTHESENSES
3.1Introductionandobjectives
3.2Cutaneoussensation
3.2.1Mechanoreceptors
3.2.2Thermoreceptors
3.2.3Nociceptors
3.3Thechemicalsenses
3.3.1Gustation(taste)
3.3.2Olfaction(smell)
3.4Audition
3.4.1Physicsofsound
3.4.2Normalsoundlevels
3.4.3Anatomyandphysiologyoftheear
3.4.4Theoriesofhearing
Copyright © 1999 IOP Publishing Ltd
3.4.5Measurementofhearing
3.5Vision
3.5.1Physicsoflight
3.5.2Anatomyandphysiologyoftheeye
3.5.3Intensityoflight
3.5.4Limitsofvision
3.5.5Colourvision
3.6Psychophysics
3.6.1WeberandFechnerlaws
3.6.2Powerlaw
3.7Problems
3.7.1Shortquestions
3.7.2Longerquestions
4BIOCOMPATIBILITYANDTISSUEDAMAGE
4.1Introductionandobjectives
4.1.1Basiccellstructure
4.2Biomaterialsandbiocompatibility
4.2.1Usesofbiomaterials
4.2.2Selectionofmaterials
4.2.3Typesofbiomaterialsandtheirproperties
4.3Materialresponsetothebiologicalenvironment
4.3.1Metals
4.3.2Polymersandceramics
4.4Tissueresponsetothebiomaterial
4.4.1Thelocaltissueresponse
4.4.2Immunologicaleffects
4.4.3Carcinogenicity
4.4.4Biomechanicalcompatibility
4.5Assessmentofbiocompatibility
4.5.1Invitromodels
4.5.2Invivomodelsandclinicaltrials
4.6Problems
4.6.1Shortquestions
4.6.2Longerquestions
5IONIZINGRADIATION:DOSEANDEXPOSURE—MEASUREMENTS,STANDARDSAND
PROTECTION
5.1Introductionandobjectives
5.2Absorption,scatteringandattenuationofgamma-rays
5.2.1Photoelectricabsorption
5.2.2Comptoneffect
5.2.3Pairproduction
5.2.4Energyspectra
5.2.5Inversesquarelawattenuation
5.3Biologicaleffectsandprotectionfromthem
Copyright © 1999 IOP Publishing Ltd
5.4Doseandexposuremeasurement
5.4.1Absorbeddose
5.4.2Doseequivalent
5.5Maximumpermissiblelevels
5.5.1Environmentaldose
5.5.2Whole-bodydose
5.5.3Organdose
5.6Measurementmethods
5.6.1Ionizationchambers
5.6.2G-Mcounters
5.6.3Scintillationcounters
5.6.4Filmdosimeters
5.6.5Thermoluminescentdosimetry(TLD)
5.7Practicalexperiment
5.7.1Dosemeasurementduringradiography
5.8Problems
5.8.1Shortquestions
5.8.2Longerquestions
6RADIOISOTOPESANDNUCLEARMEDICINE
6.1Introductionandobjectives
6.1.1Diagnosiswithradioisotopes
6.2Atomicstructure
6.2.1Isotopes
6.2.2Half-life
6.2.3Nuclearradiations
6.2.4Energyofnuclearradiations
6.3Productionofisotopes
6.3.1Naturallyoccurringradioactivity
6.3.2Man-madebackgroundradiation
6.3.3Inducedbackgroundradiation
6.3.4Neutronreactionsandman-maderadioisotopes
6.3.5Unitsofactivity
6.3.6Isotopegenerators
6.4Principlesofmeasurement
6.4.1Countingstatistics
6.4.2Samplecounting
6.4.3Liquidscintillationcounting
6.5Non-imaginginvestigation:principles
6.5.1Volumemeasurements:thedilutionprinciple
6.5.2Clearancemeasurements
6.5.3Surfacecounting
6.5.4Whole-bodycounting
6.6Non-imagingexamples
6.6.1Haematologicalmeasurements
6.6.2Glomerularfiltrationrate
6.7Radionuclideimaging
6.7.1Boneimaging
Copyright © 1999 IOP Publishing Ltd
6.7.2Dynamicrenalfunction
6.7.3Myocardialperfusion
6.7.4Qualityassuranceforgammacameras
6.8Tableofapplications
6.9Problems
6.9.1Shortproblems
6.9.2Longerproblems
7ULTRASOUND
7.1Introductionandobjectives
7.2Wavefundamentals
7.3Generationofultrasound
7.3.1Radiationfromaplanecircularpiston
7.3.2Ultrasoundtransducers
7.4Interactionofultrasoundwithmaterials
7.4.1Reflectionandrefraction
7.4.2Absorptionandscattering
7.5Problems
7.5.1Shortquestions
7.5.2Longerquestions
8NON-IONIZINGELECTROMAGNETICRADIATION:TISSUEABSORPTIONANDSAFETY
ISSUES
8.1Introductionandobjectives
8.2Tissueasaleakydielectric
8.3Relaxationprocesses
8.3.1Debyemodel
8.3.2Cole–Colemodel
8.4Overviewofnon-ionizingradiationeffects
8.5Low-frequencyeffects:0.1Hz–100kHz
8.5.1Propertiesoftissue
8.5.2Neuraleffects
8.5.3Cardiacstimulation:fibrillation
8.6Higherfrequencies:>100kHz
8.6.1Surgicaldiathermy/electrosurgery
8.6.2Heatingeffects
8.7Ultraviolet
8.8Electromedicalequipmentsafetystandards
8.8.1Physiologicaleffectsofelectricity
8.8.2Leakagecurrent
8.8.3Classificationofequipment
8.8.4Acceptanceandroutinetestingofequipment
8.9Practicalexperiments
8.9.1Themeasurementofearthleakagecurrent
8.9.2Measurementoftissueanisotropy
8.10Problems
8.10.1Shortquestions
8.10.2Longerquestions
Copyright © 1999 IOP Publishing Ltd
9GAININGACCESSTOPHYSIOLOGICALSIGNALS
9.1Introductionandobjectives
9.2Electrodes
9.2.1Contactandpolarizationpotentials
9.2.2Electrodeequivalentcircuits
9.2.3Typesofelectrode
9.2.4Artefactsandfloatingelectrodes
9.2.5Referenceelectrodes
9.3Thermalnoiseandamplifiers
9.3.1Electricpotentialspresentwithinthebody
9.3.2Johnsonnoise
9.3.3Bioelectricamplifiers
9.4Biomagnetism
9.4.1Magneticfieldsproducedbycurrentflow
9.4.2Magnetocardiogram(MCG)signals
9.4.3Coildetectors
9.4.4Interferenceandgradiometers
9.4.5Othermagnetometers
9.5Transducers
9.5.1Temperaturetransducers
9.5.2Displacementtransducers
9.5.3Gas-sensitiveprobes
9.5.4pHelectrodes
9.6Problems
9.6.1Shortquestions
9.6.2Longerquestionsandassignments
10EVOKEDRESPONSES
10.1Testingsystemsbyevokingaresponse
10.1.1Testingalinearsystem
10.2Stimuli
10.2.1Nervestimulation
10.2.2Currentsandvoltages
10.2.3Auditoryandvisualstimuli
10.3Detectionofsmallsignals
10.3.1Bandwidthandsignal-to-noiseratios
10.3.2Choiceofamplifiers
10.3.3Differentialamplifiers
10.3.4Principleofaveraging
10.4Electricalinterference
10.4.1Electricfields
10.4.2Magneticfields
10.4.3Radio-frequencyfields
10.4.4Acceptablelevelsofinterference
10.4.5Screeningandinterferencereduction
10.5Applicationsandsignalinterpretation
10.5.1Nerveactionpotentials
10.5.2EEGevokedresponses
Copyright © 1999 IOP Publishing Ltd
[...]... material in both physics and engineering courses at Bachelor’s and Master’s degree levels At the postgraduate level the target reader is a new graduate in physics or engineering who is starting postgraduate studies in the application of these disciplines to healthcare The book is intended as a broad introductory text that will place the uses of physics and engineering in their medical, social and historical... material at a higher level, appropriate for postgraduates and for those entering a research programme in medical physics and biomedical engineering Some sections of the book do assume a degree level background in the mathematics needed in physics and engineering The introduction to each chapter describes the level of material to be presented and readers should use this in deciding which sections are... Miller who, during his years as Professor of Medical Physics in Sheffield until his retirement in 1975, and indeed since that time, gave both of us the enthusiasm for our subject without which our lives would be much less interesting Brian Brown and Rod Smallwood Sheffield, 1981 Copyright © 1999 IOP Publishing Ltd NOTES TO READERS Medical physics and biomedical engineering covers a very wide range of subjects,... graduates in physics and engineering as well as serving the needs of our technical staff Whilst this new book is based upon the earlier text, it has a much wider intended readership We have still included much of the practical information for technical staff but, in addition, a considerably greater depth of material is included for graduate students of both medical physics and biomedical engineering. .. enthusiasm for the subject without which this book would never have been written Brian Brown and Rod Smallwood Sheffield, 1998 Copyright © 1999 IOP Publishing Ltd PREFACE TO MEDICAL PHYSICS AND PHYSIOLOGICAL MEASUREMENT’ This book grew from a booklet which is used in the Sheffield Department of Medical Physics and Clinical Engineering for the training of our technical staff The intention behind our writing... descriptive, so that these parts should be accessible to medical students with an interest in the technological aspects of medicine The applications of physics and engineering in medicine have continued to expand both in number and complexity since 1981 and we have tried to increase our coverage accordingly The expansion in intended readership and subject coverage gave us a problem in terms of the size... source of inspiration and we have used some of his lecture material in Chapter 13 However, we start with a recognition of the encouragement given by Professor Martin Black Our thanks must also go to all our colleagues who tolerated our hours given to the book but lost to them Sheffield has for many years enjoyed joint University and Hospital activities in medical physics and biomedical engineering The result... used as part of Sheffield University courses in medical physics and biomedical engineering, we have included problems at the end of each chapter The intention of the short questions is that readers can test their understanding of the main principles of each chapter Longer questions are also given, but answers are only given to about half of them Both the short and longer questions should be useful to students... the very wide range of physiological measurement and treatment techniques which are often grouped under the umbrella title of medical physics and physiological measurement However, it is more fulfilling to treat a subject in depth rather than at a purely practical level and we have therefore included much of the background physics, electronics, anatomy and physiology which is necessary for the student... wide range of physiological measurement and treatment techniques which are often grouped under the umbrella titles of medical physics, clinical engineering and physiological measurement However, it was more fulfilling to treat a subject in a little depth rather than at a purely practical level so we included much of the background physics, electronics, anatomy and physiology relevant to the various procedures . Ltd
PREFACE
ThisbookisbaseduponMedicalPhysicsandPhysiologicalMeasurementwhichwewrotein1981.That
bookhadgrowninturnoutofabookletwhichhadbeenusedintheSheffieldDepartmentofMedicalPhysics
andClinicalEngineeringforthetrainingofourtechnicalstaff.Theintentionbehindourwritinghadbeen
togivepracticalinformationwhichwouldenablethereadertocarryoutaverywiderangeofphysiological
measurementandtreatmenttechniqueswhichareoftengroupedundertheumbrellatitlesofmedicalphysics,
clinicalengineeringandphysiologicalmeasurement.However,itwasmorefulfillingtotreatasubjectina
littledepthratherthanatapurelypracticallevelsoweincludedmuchofthebackgroundphysics,electronics,
anatomyandphysiologyrelevanttothevariousprocedures.Ourhopewasthatthebookwouldserveasan
introductorytexttograduatesinphysicsandengineeringaswellasservingtheneedsofourtechnicalstaff.
Whilstthisnewbookisbasedupontheearliertext,ithasamuchwiderintendedreadership.Wehave
stillincludedmuchofthepracticalinformationfortechnicalstaffbut,inaddition,aconsiderablygreaterdepth
ofmaterialisincludedforgraduatestudentsofbothmedicalphysicsandbiomedicalengineering.AtSheffield
weofferthismaterialinbothphysicsandengineeringcoursesatBachelor’sandMaster’sdegreelevels.Atthe
postgraduatelevelthetargetreaderisanewgraduateinphysicsorengineeringwhoisstartingpostgraduate
studiesintheapplicationofthesedisciplinestohealthcare.Thebookisintendedasabroadintroductory
textthatwillplacetheusesofphysicsandengineeringintheirmedical,socialandhistoricalcontext.Much
ofthetextisdescriptive,sothatthesepartsshouldbeaccessibletomedicalstudentswithaninterestinthe
technologicalaspectsofmedicine.Theapplicationsofphysicsandengineeringinmedicinehavecontinued
toexpandbothinnumberandcomplexitysince1981andwehavetriedtoincreaseourcoverageaccordingly.
Theexpansioninintendedreadershipandsubjectcoveragegaveusaproblemintermsofthesizeofthe
book.Asaresultwedecidedtoomitsomeoftheintroductorymaterialfromtheearlierbook.Wenolonger
includethebasicelectronics,andsomeoftheanatomyandphysiology,aswellasthebasicstatistics,have
beenremoved.Itseemedtousthattherearenowmanyothertextsavailabletostudentsintheseareas,sowe
havesimplyincludedtherelevantreferences.
Therangeoftopicswecoverisverywideandwecouldnothopetowritewithauthorityonallofthem.
Wehavepickedbrainsasrequired,butwehavealsoexpandedthenumberofauthorstofive.RodandIvery
muchthankRodHose,PatLawfordandDavidBarberwhohavejoinedusasco-authorsofthenewbook.
Wehavereceivedhelpfrommanypeople,manyofwhomwereacknowledgedintheprefacetothe
originalbook(seepagexxiii).NowaddedtothatlistareJohnConway,LisaWilliams,AdrianWilson,
ChristineSegasby,JohnFennerandTonyTrowbridge.Tonydiedin1997,buthewasasourceofinspiration
andwehaveusedsomeofhislecturematerialinChapter13.However,westartwitharecognitionofthe
encouragement. Medical Science Series
MEDICAL PHYSICS AND
BIOMEDICAL ENGINEERING
B H Brown, R H Smallwood, D C Barber,
P V Lawford and D R Hose
Department of Medical
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