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Accepted for publication in the International Journal of Computer Assisted Radiology and Surgery on 23/03/16 NOViSE – a Virtual Natural Orifice Transluminal Endoscopic Surgery Simulator Przemyslaw Korzeniowski, Alastair Barrow, Mikael H Sodergren*, Niels Hald and Fernando Bello Centre for Engagement and Simulation Science, Department of Surgery and Cancer, Imperial College London, UK *Department of Surgery and Cancer, Imperial College London, UK Przemyslaw Korzeniowski, Chelsea and Westminster Hospital, 369 Fulham Road, SW10 9NH, UK. [email protected] Purpose: Natural Orifice Transluminal Endoscopic Surgery (NOTES) is a novel technique in minimally invasive surgery whereby a flexible endoscope is inserted via a natural orifice to gain access to the abdominal cavity, leaving no external scars. This innovative use of flexible endoscopy creates many new challenges and is associated with a steep learning curve for clinicians. Methods: We developed NOViSE - the first force-feedback enabled virtual reality simulator for NOTES training supporting a flexible endoscope. The haptic device is custom built and the behaviour of the virtual flexible endoscope is based on an established theoretical framework – the Cosserat Theory of Elastic Rods. Results: We present the application of NOViSE to the simulation of a hybrid trans-gastric cholecystectomy procedure. Preliminary results of face, content and construct validation have previously shown that NOViSE delivers the required level of realism for training of endoscopic manipulation skills specific to NOTES Conclusions: VR simulation of NOTES procedures can contribute to surgical training and improve the educational experience without putting patients at risk, raising ethical issues or requiring expensive animal or cadaver facilities. In the context of an experimental technique, NOViSE could potentially facilitate NOTES development and contribute to its wider use by keeping practitioners up to date with this novel surgical technique. NOViSE is a first prototype and the initial results indicate that it provides promising foundations for further development. Keywords Cosserat Rod, Flexible endoscope, Natural Orifice Surgery, NOTES, Virtual Reality Simulator

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Page 1: NOViSE – a Virtual Natural Orifice Transluminal Endoscopic ......By inserting a flexible endoscope via a natural orifice such as the oesophagus, vagina, or anus (Fig. 1), and then

Accepted for publication in the International Journal of Computer Assisted Radiology and Surgery on 23/03/16

NOViSE–aVirtualNaturalOrificeTransluminalEndoscopicSurgerySimulatorPrzemyslawKorzeniowski,AlastairBarrow,MikaelHSodergren*,NielsHaldandFernandoBelloCentreforEngagementandSimulationScience,DepartmentofSurgeryandCancer,ImperialCollegeLondon,UK*DepartmentofSurgeryandCancer,ImperialCollegeLondon,UK

PrzemyslawKorzeniowski,ChelseaandWestminsterHospital,369FulhamRoad,SW109NH,[email protected]

Purpose:Natural Orifice Transluminal Endoscopic Surgery (NOTES) is a novel technique inminimallyinvasive surgery whereby a flexible endoscope is inserted via a natural orifice to gain access to theabdominalcavity,leavingnoexternalscars.Thisinnovativeuseofflexibleendoscopycreatesmanynewchallengesandisassociatedwithasteeplearningcurveforclinicians.Methods:WedevelopedNOViSE-the first force-feedback enabled virtual reality simulator for NOTES training supporting a flexibleendoscope.Thehapticdeviceiscustombuiltandthebehaviourofthevirtualflexibleendoscopeisbasedonanestablishedtheoreticalframework–theCosseratTheoryofElasticRods.Results:WepresenttheapplicationofNOViSEtothesimulationofahybridtrans-gastriccholecystectomyprocedure.Preliminaryresultsofface,contentandconstructvalidationhavepreviouslyshownthatNOViSEdeliverstherequiredlevel of realism for training of endoscopic manipulation skills specific to NOTES Conclusions: VRsimulation of NOTES procedures can contribute to surgical training and improve the educationalexperiencewithoutputtingpatientsatrisk,raisingethicalissuesorrequiringexpensiveanimalorcadaverfacilities. In the context of an experimental technique, NOViSE could potentially facilitate NOTESdevelopmentandcontributetoitswiderusebykeepingpractitionersuptodatewiththisnovelsurgicaltechnique. NOViSE is a first prototype and the initial results indicate that it provides promisingfoundationsforfurtherdevelopment.

Keywords—CosseratRod,Flexibleendoscope,NaturalOrificeSurgery,NOTES,VirtualRealitySimulator

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IntroductionNOTESOver the last 30 years, laparoscopic surgery has become the standard approach formany operativeprocedures.Inordertopushminimallyinvasivetechniquesfurtheralongthespectrumtowardstrulynon-invasivesurgery,surgeonshavestartedusingflexibleendoscopyinprocedurestraditionallyreservedforrigidinstruments.Byinsertingaflexibleendoscopeviaanaturalorificesuchastheoesophagus,vagina,oranus(Fig.1),andthennavigatingtheendoscopethroughaninternalincisionintherelevantorgan,surgeonscangainaccesstotheabdominalcavityandareableto,forexample,removethegallbladder(cholecystectomy) or the appendix (appendectomy) leaving no external scars (incision/scar-lessprocedure). This emerging technique is known as Natural Orifice Transluminal Endoscopic Surgery(NOTES).Sinceiteliminatesexternalpostoperativewounds,itisarguedthatNOTESmayfurtherreduceoperationtrauma,recoverytime,clinicalcostsandimproveoverallcosmeticresults,therebypushingtheboundariesofminimallyinvasivesurgery(MIS)asweknowit[1-4].Aswithanynew,potentiallydisruptivesurgicaltechnique,thebenefitsofNOTESarestill tobefullyrealised,andthereremainsconsiderabledissentastoitstruebenefitsandrisks[5,6].TheNaturalOrificeSurgeryConsortiumforAssessmentandResearch(NOSCAR)establishedalistofpotentialbarrierswhichneedtobesurpassedbeforeNOTEScanbeincorporatedintoroutinepractice[7].Oneofthekeyissuesidentifiedbyspecialistswasthelackofefficient training programs available for clinicians and the extremely steep learning curve of NOTESprocedures.

Fig.1Trans-gastric(left),trans-vaginal(middle)andtrans-rectal(right)NOTESapproachesThenoveluseofaflexibleendoscopeinNOTESproceduresdifferssubstantiallyfrombothconventionalendoscopyandlaparoscopy.Inadditiontoenteringtheabdomenthroughanaturalorifice,theNOTEStechniquerequiresthesurgeontooperatetheendoscopeandanyassociatedinstrumentationthroughasingleaccesspoint,ratherthanthethreeorfourportscommontoalaparoscopicoperation.Althoughmany NOTES procedures are currently being performed in a hybrid fashion (i.e. with some trans-abdominalassistance),thereisasignificantlossofretractionandthein-lineinstrumentapproachthroughthe instrumentports in theendoscopehandpiece isunfamiliar tomost surgeons.Another significantdifferenceisthelackofagastrointestinallumentosupporttheendoscope.Thus,thedistalendoftheendoscope ismanipulated in theopenabdominalcavityusingthe incision (viscerotomy)site, internalorgans and gravitational force to navigate and position the instrument. The middle section of theendoscopeshaftcanunpredictablyrollandloopinsidetheabdomen.Asaresultofthesedifferencesinendoscopebehaviour,theapproachtoregionsof interestcanalsobeverydifferent incomparisontotraditionalendoscopictechniques.Takingalloftheaboveintoconsideration,itisclearthatperforming

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NOTESproceduresrequiresanewsetofskills.Learningandpracticingtheseskillsdemandsanewsetoftrainingtaskssupportedbysuitablesimulatormodels.ThemostrecentsurveyoneducationandtraininginNOTES[8]reviews11non-animalstudies,8animalstudiesand6educationalprogramsforNOTES.Severalofthemdemonstrateconstructvalidity.Mostnotableisthe"ELITE"simulator-anex-vivo,full-scalereplicaofafemaleadultwithvarioustransluminalaccesspoints[9,10].ThesurveyalsostatesthatminimalworkhasbeencarriedoutinthefieldofVirtualReality(VR).

VRSimulationMedicalVRsimulatorsprovideasafeenvironmentinwhichclinicianscanrepetitivelypracticewithoutputtingpatientsatrisk.Theyhavebeenexpectedtobecomeanimportantpartofsurgicaltrainingsincetheearly1990s[11].Recentreviewsshowthat,althoughVRsimulationisnowsuccessfullyusedinvarioussurgicalspecialities, there isstillenormouspotential for furtherdevelopment [12-14].Arecentneedsanalysis foraNOTESVRsimulatorshowsthat there is indeed interest insuchtechnology [15].Whilstthere are well-established, validated commercial VR simulators available for flexible endoscopyprocedures(GIMentor-www.simbionix.com;EndoVR-www.caehealthcare.com)suchasLower/UpperGI,EndoscopicRetrogradeCholangiopancreatography(ERCP),EndoscopicUltrasound(EUS)orFlexibleSigmoidoscopy (FS), simulatingNOTESprocedures requiresmoreadvanceddynamicmodellingof thevirtual endoscope so that itmay operate in open abdominal cavities, and interact with surroundinganatomyinadifferentmanner.

In[16],Ahnandcolleaguesreporttheon-goingworkontheirVirtualTransluminalEndoscopicSurgeryTrainer–VTESTTM.TheirsimulatoraimstorecreateahybridNOTESprocedureusingarigidscopeandatrans-vaginalapproach. In[17],thesamegroupdescribestheirworkonaprototypehapticdeviceforflexible endoscope, but this is yet to be integrated into their VTESTTM system and no results of itsperformance are presented. Therefore, to the best of our knowledge, there are currently no force-feedbackenabled,eithercommercialorexperimental,VRsimulatorsforNOTESproceduressupportingaflexibleendoscope.

InthispaperweprovideadetailedtechnicaldescriptionofourNaturalOrificeVirtualSurgery(NOViSE)simulator, including its overall design, haptic interface, virtual flexible endoscope model, tool-tissueinteractions,aswellas implementationdetails.Next,wepresentresultsof theunderlyingendoscopemodelbehaviouralongwith itscomputationalperformance.This isfollowedbytheapplicationoftheNOViSEsimulatortoahybridtrans-gastriccholecystectomyprocedure(usingaflexibleendoscope)andasummaryofpreviouslyreportedinitialvalidationresults.

Ourmaincontributionisinthedevelopment(softwareandhardware)andintegrationofaforce-feedbackenabledvirtualrealitysimulatorforNOTEStrainingsupportingaflexibleendoscope,togetherwiththeadaptation of the underlying Cosserat rod mathematical model to make it inextensible andincompressible likea realendoscope,aswellasvariousperformance-optimisation features toensurereliableandstablereal-timeoperation.

MethodsNOViSEisafirstprototypewhosemainfocusisonteachingtheendoscopicmanipulationskillsrequiredfor NOTES. The crucial components of such a simulator are the custom built haptic device and theunderlyingmathematicalmodelof thevirtual flexibleendoscope.As there iscurrentlynoestablishedcurriculum for NOTES, NOViSE was developed in close collaboration with experts who previouslyconductedalargenumberofNOTESanimalandboxmodeloperations[18,8],aswellasaseriesofhumanNOTEStrials.

Basedontheirexperience,theprocedurestepswhicharethemostdemandingintermsofendoscopemanipulationwerecarefully identified.Theseare,namely:navigation into theabdomen;clippingandcuttingofacysticductandartery;anddissectionofthegallbladderfromtheliverbed.Theexpertsalso

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identifiedthe followingNOTES-specificsetofskillsandchallenges,whichweretobethefocusof thecurrentNOViSEprototype,togetherwithasetofrelevantperformancemetrics(seerelevantsubsectionbelow):

• Openspacemanipulationsintheabdominalcavity• Navigationwithalackofgastrointestinallumen• Singleaccesspoint• In-lineinstrumentapproach,i.e.instrumentsalignedwiththemainendoscopeshaft• Limitedtissueretraction

HavingidentifiedthefocusofthefirstNOViSEprototype,sometrade-offswererecognisedinordertostreamline the development process and improve computational performance,without affecting theintendedtrainingoutcomes,namely:

• Static,non-deformablemodelsofoesophagus,stomachandintestines• Static,pre-deformedmodelofaretractedliver• Gallbladderandconnectivetissuemodelledasmass-springsystems• Empiricaltuningofthe(bio)-mechanicalparametersoftheendoscopeandgallbladder

Thefollowingsectionsprovidefurtherdetailsoftheimplementationandjustificationfortheabovetrade-offs,includingasummaryofpreviouslyreportedpreliminaryvalidationstudieswheretheircorrectnessandrelevancewasalsoassessed[19].

SimulatorSet-upNOViSE (Fig. 2) consists of a real-time software simulation and a physical, force feedback human-computer-interface (hapticdevice).Thesoftware iswritten in Java,withperformancecriticalsectionsimplementedinC/C++.Itcanefficientlyrun,exceedinghapticinteractiveratesonamodernmid-rangePCorlaptop.Thesimulatordisplayisdividedintotwoparts.Ontheright,theusercanseetheendoscopiccameraview.Onthe left there isanexternal,optional"aerialview",whichcanbeturnedon/offandfreelymanipulated.

Fig.2ThecompleteNOViSEset-up(left).Theoverviewofthesimulationsoftwaresub-systems(right).

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HapticDeviceWhilst thereexistavarietyofhaptic interfaces forendoscopicsimulation [20],weundertookanovelredesignwiththeaimofportabilityandaffordability.Ourhapticdevice(Fig.3left)comprisesanenclosedblack box of dimensions approximately 55x26x18cm, into which passes a hose (1.5m long, 15mmdiameter).Thehosecanbepushedorpulledthroughtheopening(totaltravel22cm)androtatedfreely.Inside theenclosure, theendof thehose isdirectlycoupled toa15:1planetarygearboxandaservomotordeliveringacombinedtotaltorqueof+/-2.55Nm.Thismotorismountedonalowfrictionlinearraildrivenbyanidenticalmotorconnectedviaatensionedtootheddrivebeltanda24mmpulleyresultingin+/-14N linear forceoutput.Both linear (14N)and rotational (2.55Nm) force feedback significantlyexceedtherequirementsforendoscopicNOTESprocedures.Theseweremeasuredby[17]andpeakat4.77Nforlinearandonly0.03Nmforrotationalfeedback.

At the proximal end of the hose, a 3D printed plastic replica of a standard endoscopic handpiece isattached(Fig.3right).Itconsistsoftwoforce-feedbackenabledthumbwheels,twoopticallytrackedthinwiresrepresentingtheendoscopictoolwiresandtwopushbuttons.Additionally,adoublefootpedalisplaced on the floor and can be used to activate endoscopic instruments, e.g. diathermy. ThethumbwheelsareactuatedusingacommonBowdencablearrangementbytwoservomotorslocatedinthemainenclosure.

Fig.3Thehapticdeviceconnectedtothedataacquisitiondevice(left).Aclose-uptothehandpiece(right).

VirtualFlexibleEndoscopeTheshaftofthevirtualendoscopecanbepushed,pulledandrotatedthroughmanipulatingthehapticdevice.Thetipofthevirtualendoscopeissteerable,withitsbendcontrolledusingtwothumb-wheelsonthehandpiece.Thevirtualscopeisequippedwithalightsource,acameraandtwoworkingportsthroughwhichdifferentinstruments(actuators)maybeinserted.Currently,operatorscanchoosefromfourtypesofvirtualactuators:grasper,clipper,scissorsanddiathermytool.Theirinsertion/removaliscontrolledbytwophysicalwiresinsertedinthetwoportsofthehandpiece(Fig.3,right).

Avitalpartofoursimulatoristheunderlyingmathematicalmodeloftheone-dimensionaldeformablebody (elastic rod) responsible for the behaviour of the virtual flexible endoscope. Elastic rods arecharacterized by having large non-linear deformations even if the local strains are small. Thischaracteristic,aswellasconsiderationofmaterialtwistandthefactthatmanyrodspracticallydonotstretch,makestheirdynamicsimulationchallenging,especiallyinreal-time.Physically-basedinteractiveapproachestoelasticrodsrangefrommass-springmodels[21-23],rigidmulti-bodyserialchains[24,25],splinebasedformulations[26],toCosserattheorybasedmodels[27-32].Forourflexibleendoscope,we

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chosetheCoRdEmodelbySpillmannandTeschner[29].First,becauseitisbasedonCosserattheory–asolidtheoreticalfoundationconsideredasafinalstepintheformulationofamoderntheoryofelasticrods [33]. Second, because CoRdE is a fast, dynamic and elegant solutionwith an explicit centrelinerepresentation,which facilitates the simulationof contacts. Theexplicit centreline also simplifies theoverall implementation, internal frictioncalculationsandrodvisualization[29,30].CoRdEbehaviour isindependent of the underlying discretization. Additionally, thismodel was previously applied by ourgroupto thesimulationofcathetersandguidewires incardiovascular interventionswithgoodresults[34].

InCoRdE,aquaterniongoverningthematerialframes𝐑𝒋 ∈ ℝ𝟑𝐱𝟑(cross-sectionorientation)isplacedinbetween the neighbouring mass-points 𝐫𝒊 ∈ ℝ𝟑 consisting of the centreline as shown in Fig. 4. Bycomparingthematerialframes,thebendandtwistdeformationscanbequantifiedandthetotalelasticenergyoftherod𝑉canbederived.Byminimizing𝑉,thebendingandtwistingstrainratesarecoupledtogetherinaunifiedmanner.Thetwistdeformationisbalancedoutbythebenddeformationandviceversa,which results in the looping phenomenon.We refer the reader to the original publication forfurtherimplementationdetails[29].

Fig.4MaterialframesadaptedtotheCosseratrodcentrelineIntheoriginalmodel,thepenaltymethodwasusedtogovernthestretchofthecentreline.Duetothis,a reduction in the rod’s stretch and compressibilitymay introduce additional stiffness to the systemrequiringasmallertime-step.Toaddressthis,wemodifiedtheoriginalmodeltomakeitinextensibleandincompressible like a real endoscope. The penalty method was replaced by a chain of distanceconstraints. For accuracy andperformance, the constraints Jacobianswere arranged in a tri-diagonalbandedsystemofequations.Asthissystemcontainsonlyequalityconstraints,itisefficientlysolvedusingGaussianeliminationwithpartialpivotinginaglobalmanner(i.e.alldistanceconstraintsatonce)asafirststepofeachsolveriterationbyaconventional linearalgebralibrary(LAPACK,www.netlib.org). Inthenextstep,thecollisionconstraintsincludingCoulombianfrictionapproximationareappliedlocally.Ifneeded,thewholeprocessmayberepeatedmultipletimestoimprovesimulationaccuracy.

OurmodifiedCoRdEimplementationenablesreal-timesimulationathapticinteractiverates,providingan efficient, unified bending, twisting and collisions handling, aswell as a very fast response to usermanipulationsandaneasyparameterizationofthemechanicalpropertiesoftherod.Itallowsforthephysicalpropertiesofourvirtualendoscope,suchasmass,diameter,resistancetobendingandtwistingtobederivedempirically,underthesupervisionofexpertclinicians, tomatchthebehaviourofarealflexiblescope.

Tool-TissueInteractionsDuringthedesignstage,incollaborationwiththeNOTESexperts,aseriesoftestswereconductedatoidentify which organs and/or anatomical structures are relevant to the training of endoscopemanipulation skills. In a hybrid transgastric cholecystectomy, the endoscope is introduced via the

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oesophagus,ittravelsinsidethestomachandfinallygoesthroughtheviscerotomysite(incisiononthewall of the stomach) to the abdominal cavity. Once in the abdominal cavity, the endoscope and itsactuatorscancollideandinteractwiththegallbladder,liver,fattyconnectivetissuebetweenthesetwo,aswellasthesmallandlargeintestineandthepancreas.

Having identified the relevant anatomy, theexperts compared two versionsof the first phaseof theprocedurewithandwithoutdeformationofoesophagusandstomach.Duetothehollownatureoftheseorgans,theirdeformationsweresimulatedusingmass-springmodels.Theexpertsagreedthat,althoughthedeformationsaddedtothevisualplausibilityintheauxiliaryview,theywerehardlynoticeableintheendoscopicviewalone,andthereforeweredeemedirrelevanttothetrainingofmanipulationskillsforNOTES.

Afterpassingthroughthestomachandreachingtheabdominalcavity,arigidlaparoscopeiscommonlyusedtoretracttheliverandthegallbladder.Thisinvolvesdeformationoftheliver,connectivetissueandgallbladder. Instead of attempting to model liver deformation in real-time, which was deemedunnecessarygiventhefocusofthecurrentprototype,we“pre-modelled”theretractedliverusinga3Dpackageasshownin(Fig.5,right).

Regardingthegallbladder,a3Dpolygonalmodelwasdiscretizedintoatetrahedralmeshconsistingof1194 mass-points, 3615 tetrahedrons and 5914 connecting springs using TetGen(www.tetgen.berlios.de). A mass-spring model (MSM) [35,36] was implemented to simulate itsdeformationasitinteractswiththeendoscopeandtheactuators.Itsbodycanbeprobed,grasped,anditscysticarteryandductcanbeclippedandcut.Additionally,thegallbladdercanalsoberetractedinaconventionalwayusingarigid laparoscope(hybridNOTESprocedure). Itsphysicalproperties,suchasspringstiffnessanddampening,werevisuallyandhapticallytunedtoapproximatethebehaviouroftherealanatomybasedonthejudgementofseniorcliniciansinteractingwiththevirtualanatomythroughthehapticdevice,whilstachievingreal-timeperformance.Althoughlessaccuratethancontinuumbasedmethods suchas FEM,MSMcanhandle largedeformationsaswell as topologicalmodificationswithrelativeease.Inspiteofmodelbehaviourbeingdependentontheunderlyingdiscretizationandspringstiffnessanddampingparametersnotdirectlycorrelatingtomeasurablereal-worldvalues,MSMmodelsarestilloftenusedtosimulatedeformableorgansastheyarefastandeasytoimplement.

TheconnectivetissuebetweenthegallbladderandtheliverisalsoapproximatedbyaMSMthatcanbedissected using the diathermy tool or scissors. Its physical propertieswere also fine-tuned by seniorclinicianswhilst interactingwith the virtual anatomy through the haptic device. The deformations ofotherabdominalorganssuchasthe intestinesandpancreaswereuniformly judgedbytheexpertsasratherirrelevantfromthepointofviewofmanipulationsduringtransgastriccholecystectomy.

Collisiondetectionbetweentheendoscopeoritsactuatorsandsurroundingtissuesisbasedonadynamicbounding volume hierarchy (BVH) of axis-aligned bounding boxes (AABB) as suggested in [37]. Forperformancereasons,onlytissueswhichareintheregionofinterestoftheoperator,i.e.reachablebytheendoscope(Fig.5,right),areconsideredduringcollisiondetection.Gravityasaconstantforceinthesupine position has been incorporated to both the gallbladder and the endoscope by consideringaccelerationduetogravity(g=9.81m/s2)inthecorrespondingdirection.

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Fig.5Acutthroughatetrahedralmeshofthegallbladder(left).TheabdomentissuesreachablebytheendoscopewrappedinanAABBBVHtree(right).

Multi-threadedImplementationThesimulatorimplementationtargetedmulti-coreCPUs.Itfollowsataskparallelismapproach,inwhichthesimulationtasks(rodphysicscomputations,collisiondetection,deformablebodiessimulation,scene-graphtransformations)aredistributedacrossdifferentthreads.Differenttaskscanrunatdifferentratesrelativelytotheendoscopephysicstask.Thecollisiondetectiontaskrunsinparallel,onetoone,astepbehind,butthedeformablebodytaskrunsapproximatelyat1/3rateoftheinstrumentphysics.Weuseaformofdoublebufferingtoreducethesynchronizationoverheadandpreventconcurrencyissuessuchasvisualflickeringorphysicsinstabilities.Ourexperimentsshowthattaskparallelism,inthiscase,resultsinapproximately50%betterperformancecomparedtodataparallelism,whichspreadsmass-pointsandquaternionsacrossthethreads.Thisiscausedbyasmallersynchronizationoverhead,fewerCPUcontextswitchesandbettercacheutilization.

WealsocarriedouttestsusingaGPUimplementation(IntelCore22.66GHz,NVidiaGeForceGTX560).Theendoscopesimulationposesarathersmallprobleminthecontextofmassivelyparallelcomputationsstandardsandnoperformancegainswerenoted.Intermsofsoft-bodysimulation,areasonablex4-x5speed-upwasachieved for thegallbladder simulation.However,whenconsideringcollisiondetectionandinteractionsbetweentheorgansandthetools,therawcomputationalpowerofaGPUwaslargelymitigated by the overhead caused by memory transactions, kernel launches and CPU/GPUsynchronization.Hence,itwasdecidedtoinsteaddevelopNOViSEtargetingmodernCPUs.

MetricsTheNOViSEsimulationsoftwarecomputesandcollectsaseriesofperformancemetrics(Table1)whichwere derived during the analysis by the expert clinical collaborators of the particular tasks of hybridtransgastric cholecystectomy and endoscopic manipulation skills for NOTES. Once the procedure iscomplete,thesimulatorcanpresentandprocessthemetricstogenerateacomma-separated(CSV)filewithanadequatelayoutsuitabletobeimportedintoMSExcelorSPSSforfurther,moredetailedanalysis.Inaddition,foreachcompletedtask,anassociatedbinaryfilecontainingtherecordedmotionsofthehapticdeviceandofthevirtualendoscopeisgenerated.Fromthese,severalsupplementarymetricscanbeextractedorstoredperformancesplayedbackforfurtherstudy.

Results Inthissectionwepresentbriefqualitativeandquantitativeresultsofourelasticrodimplementationintermsof its behaviour andperformance.Next,wedescribe the application of the abovemethods inNOViSEtosimulateahybridtransgastriccholecystectomyprocedure.Finally,wesummarisetheresultsofaninitialfaceandcontentvaliditystudy.

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Table1MetricscollectedduringthesimulationForalltasks:

• Taskcompletiontime• Pathlengthofthetiptraversedduringthetask• Maximumandaverageforcesappliedtotissuesbyendoscope• Maximumandaveragevelocitiesandaccelerationsoftheshaft• Maximumandaveragehapticforce-feedback

Forclippingandcutting(sub)-tasks:• Clipping/cuttingdistancefromtheindicatedpoint• Clipping/cuttinganglebetweenthetoolandthesurface• Numberofclippings/cuttings• Degreeofinstrumentprotrusionduringtheoperation

Forgallbladderdissectiontask:• Numberofdiathermyactivations• Totaltimediathermyactivationtime• Timediathermyactivatedontarget/non-targettissues• Percentageoftimeburningnon-targettissue

RodInextensibilityandIncompressibilityInordertodemonstratetheimportanceofinextensibilityandincompressibility,arodconsistingof256(e.g.255mmlong)pointswasgraduallyinsertedintoarandomrigidanatomymodelinawaytoaggravateits compression.Ourmodified rod compressedby less than0.5%. In contrast, theCoRdEmodelwithhighest possible (but stable) stretching Young’s modulus 𝐸,, compressed by nearly 6%. Such acompressionisnotonlyclearlynoticeable,asevidentinFig.6,butalsoresultsinaverydifferentbendandtwistdeformation.Thecomputationaltimerequiredbyourincompressiblerod(0.86msperiteration,includingcollisions)wasonly6%longerthanthatoftheoriginalCoRdEmodel(0.81ms).

Fig. 6Rod compression testby insertion intoa virtual vascularmodel.At theTop: theoriginalCoRdEmodel.AttheBottom:ourinextensibleandincompressiblemodification.Thepercentageofcompressionisgiveninbrackets.Thegreenspheresrepresentcollidingmass-pointsandtheredones-non-colliding

ComputationalperformanceTheentirecomputationalperformanceduringtheprocedurewastestedonanAsusN55slaptop(Win7x64, IntelCore i72.2GHz,8GBRAM,NVidiaGeForceGT555M).The totalcomputational timeof thevirtual endoscope (Cosserat forces, constraints, integration) consistingof 100mass-pointswasbelow

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0.2ms.Thecollisiondetectionrunsinsynconaseparatethreadandslightlyslowsdowntherodphysics(0.23ms).Themass-springmodelforthedeformablegallbladderwastheslowestpartofthesimulationrequiringnearly0.75msperupdate.Thedisplaywasupdatedatastandard60framespersecond.InFig.7,we present the average computational times for each particular simulation (sub)-task: endoscopephysics,collisiondetectionanddeformablebodysimulation.

Fig.7ComputationaltimesofdifferentcomponentsonAsusN55sLaptopDue todifferenthardwareplatformsand test casesused, the computationalperformanceofour rodcannotbedirectlycomparedtootherCosseratrodimplementationsfoundintheliterature.However,approximate comparisons indicate that the performance of our approach is similar to the originalstretchableCoRdE[29].Yet,consideringtheinextensibility,ourrodwasroughlyx4,x38,x24timefasterthantheapproachespresentedin[30],[38]and[39],respectively.However,thesemodelshaveotheradvantages,forinstance,theeliminationofthepenaltymethodinparallelconstraints,improvedstabilityorbettercontacthandling.Table2summarizestheseresults.

Table2Comparisonofcomputationaltimesinrespecttoothermodels

Model PCCPUTimestatedinpaper(ms/pts)

Time(ms/100pts) Speed-up

Ourinextensiblemodel Core22.66GHz 0.147/100 0.147 x1.00

OriginalCoRdE[29] Xeon3.80GHz 0.131/100 0.131 x0.89

InextensibleCoRdE[38] Core23.00GHz 2.26/40 5.65* x38.4*

DiscreteElasticRods[30] Core22.66GHz 0.34/75-0.42/67 0.45*-0.67* x3.06-x4.56*

PositionBasedElasticRods[39] N/A 1.06/30 3.53* x24.0*

*Approximatedtimes

HybridTransgastricCholecystectomyWe chose to simulate a hybrid trans-gastric cholecystectomy since laparoscopic cholecystectomy(gallbladderremoval)isoneofthemostprevalentsurgical interventions.ItwasalsoamongstthefirstNOTESproceduresand it iscurrentlyoneway inwhichNOTES isperformed inclinicalpractice. It isahybrid operation as laparoscopic assistance for visualization and retraction is coupledwith a flexibleendoscope.Thesimulationstartswiththeendoscopepartiallyinsertedintotheoesophagus.Itisdividedintothreemaintasks:navigationviathestomachtotheabdomen(Fig.8),clippingandcuttingofthe

EndoscopePhysicsTask

CollisionDetectionTask

DeformableBodyTask

Mass-spring 0.74

Collisiondetection 0.23

Integration 0.018

Constraints 0.049

Cosseratforces 0.098

00.10.20.30.40.50.60.70.8

Time(m

s)

Timesofsimulationtasks(ms)

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Calot'striangle(Fig.9)andgallbladderdissectionusingthediathermytoolandthegrasper(Fig.10).Theoperatorisguidedbyglowingmarkersindicatinganoptimalpath,anincision(viscerotomy)site,clippingpoints/anglesandconnectivetissue.

During the first task (Fig.8), theoperatorneeds to find theviscerotomysite locatedonasideof thestomachandnavigatethescopethroughitintotheabdominalcavity.S/heisnotrequiredtopiercethestomachastheincisionisalreadypresentandrepresentedbyaglowingredring.However,navigatingthroughtheringisnottrivialasitrequiresacombinationofbimanualmotionsoftheendoscopeshaftandhandpiececontrols.

Fig.8Task1-Navigationfromthestomachintotheabdomenviatheincision(viscerotomy)site(glowingredring)Afterenteringtheabdomen,theoperatorcanproceedtothesecondtask-clippingandcuttingofthecysticarteryandduct(Fig.9).TheoperatorneedstolocateananatomicalregioncalledCalot'striangleandstartbyclippingthecysticarteryfirst.Theoptimalclippingpointisindicatedbyabluemarkerwheretheoperatormustinsertaclippingtool,positioningitsjawsasclosetothebluemarkeronthearteryaspossible,whilemaintaininga rightanglebetween the jawsand theartery.Next, s/heneeds toplaceanothercliponthearteryandcutbetweentheclipsusingscissors.Thisclipandcutprocessisrepeatedonthecysticduct.Thekeytocompletingthistaskefficientlyistocorrectlynavigateandpositionthetoolrightfromthestartsothatalltheclippingandcuttingcanbedonewithouthavingtomanipulatetheendoscope.Thisway,allthesixpointsofinterestshouldbewithinreachbyonlyadjustingthetipofthescopeandinserting/removingtheactuators.

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Fig.9Task2-Clippingthecysticartery

Havingclippedandcutthecysticductandtheartery,theoperatorcanprogresstodissecttheconnectivetissuebetweenthegallbladderandtheliverbedusingthediathermytool(Fig.10).Theconnectivetissueisrepresentedbyredglowinglinesegmentsthatareburntbytheoperatoractivatingthediathermytoolclosetothem.Activationofthediathermyneedstobepreciseandaccurateinordertoburnaslittleofothernon-targettissuesaspossible.

Fig.10Task3-Gallbladderdissectionusingdiathermy.Theredlinesegmentsrepresenttheconnectivetissue.Anauxiliarylaparoscoperetractingthegallbladderisvisible.Asmentionedabove,thesimulatedprocedureishybrid,whichmeansthatthereisstillonelaparoscopicinstrumentdeployed in theconventionalwayused to retract thegallbladder inorder togetabetterexposureoftheconnectivetissue.Thisretractioniscontrolledusingthekeyboardbytheassistantgiventhedirect command topreventbias.After removing the connective tissue, theoperator canuse the

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actuatorgraspertoholdthegallbladderandpullitoutthroughthestomach(Fig.11).Atthispointtheprocedureiscompleted.Theoperatorisnotrequiredtoclosetheviscerotomysite.

Fig.11Completingtheprocedurebypullingoutthegallbladderusingthegrasper.In between certain tasks, the screen occasionally fades out and the simulation is paused.When thishappens, the operator is asked to adjust the insertion of the hose so that s/he will have enoughinsertion/retractionavailabletocompleteeachtaskwithoutreachingthelimitofthehapticdevice.

ValidationAninitialverificationoftheclinicalrealismandaccuracyoftheinstrumentswaspreviouslycarriedoutbyobtainingsubjectivefeedback(faceandcontentvalidity)throughaquestionnairefrom14surgeonsindifferentspecialities[19].FourofthemwerequalifiedasNOTESexpertswhohaveperformed10ormorehuman or animal-model NOTES procedures independently. A summary of the validation results ispresentedbelow.

NOViSEshowedgoodoverallfacevalidity(Fig.12).Inthequestionnaire,63%ofresponsestostatementsregardingtherealismofthevirtualendoscopeand67%ofresponsestostatementsregardingthevisualrealismoftheendoscopiccamerawere‘agree’or‘stronglyagree’.Theparticipantsweremostcriticaloftheoveralllookandfeelofthehardware.64%ofparticipantsstated(i.e.agreedorstronglyagreed)thatthesimulator,aswellasthedifficultyofthesimulatedprocedurewererealistic.

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Fig.12Facevalidityresults–participants’responses[19]NOViSE showed also good content validity (Fig. 13). In the questionnaire, 74% of responses to thestatementsassessingtheusefulnessandrangeoftheindividualtasksfortrainingwere‘agree’or‘stronglyagree’.Majority(86%)oftheparticipantsstated(i.e.agreedorstronglyagreed)thatNOViSEisausefultrainingtoolforNOTESand71%thattheywouldrecommendittoothers.

Fig.13Contentvalidityresults–participants’responses[19]Regarding construct validity, expertswere faster and had better economy ofmovement (i.e. used ashorterendoscopicpathlength)thannovicesinallbutthefirsttask.Duetothenon-normaldistributionofdata,anon-parametricMann-WhitneyUtestwasusedtocomparetheperformancebetweengroups.Thestatisticalsignificancewassetatp<0.05anditwasdemonstratedforthefollowingtasksandmetrics:timeandeconomyofmovement(EoM)fromexitingstomachtoapplicationoffirstclip(74svs194sp=0.04,50cmvs191cm,p=0.01),timeandEoMfromapplicationoffirstcliptostartofdissection(83svs228sp=0.04,17cmvs134cm,p=0.04),timefromapplicationof lastcliptocompleteddissectionofgallbladderfromliverbed(333svs683sp=0.02,250cmvs527cm,p=0.04).Theremainingmetricsdidnotdemonstratestatisticallysignificantdifferencesbetweenexpertsandnovices.

0%

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Difficultyofprocedure

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IndividualtasksandtheirrangeareusefulinNOTEStraining

OverallthesimulatorisausefultrainingtoolforNOTES

Iwouldrecommend thesimulatortoothers

Allresponses

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Fig.14Constructvalidityresults–taskcompletiontimes(left)andeconomyofmovement(right)[19]

LimitationsandFutureworkA main limitation of NOViSE is that it currently simulates only transgastric hybrid cholecystectomy.Supportingawider rangeofprocedures (e.g. appendectomy) andapproaches (trans-vaginal, possiblytrans-rectal),aswelladvancedendoscopic interventionsisanimportantnext-stepin itsdevelopment.GiventhatNOViSEisafirstprototype,itexhibitssomehardwareandsoftwarelimitations.Replacingthephysicalendoscopehoseforalighterandsofteroneisrequired,togetherwithmodificationstothedesignofthehandpiece.

During the virtual procedure, there is lackof fat tissue surrounding theCalot’s triangle. The stepsofcreationandclosureoftheviscerotomysiteareomitted.AddingthesefeaturesandtaskscouldrecreateamorecomprehensiveNOTESexperience.Thesoft-bodymodelusedforsimulatingthegallbladder isrelatively simple,whilst all theotherorgansare static anddonotdeform. Itwouldbe interesting toinvestigatefurtherifusingmoreadvanceddeformationmodels(suchasFEM),notjustforthegallbladder,butpossiblyalsofortheoesophagus,stomach,andliverwouldmakeaperceptibledifferencetotheuserexperienceinthecontextofthewholeprocedure.Manipulatingthepatient’spositionontheoperatingtable,asitisdoneinflexibleendoscopy,andadjustingtheresultinggravitationalforce,couldbeanotherpotentialfurtherrefinementofthesimulator.

Althoughinitialtestsinthecurrentprototypeshowednobenefitsfromusingamassively-parallelGPUimplementation,consideringtherapidprogressinthefieldandthepossibleneedforfurtherandmoreadvancedorgandefamationmodelling, thismayneed tobe re-evaluated.Morespecifically,aunifiedphysicsapproach[40]mightbeworthexploring.

Additional validation studies are foreseen after implementing the suggested modifications to bothhardwareandsoftwarecomponentsofNOViSE.Wewouldliketoevaluatethefeasibilityofourplatformfor the simulationof advancedendoscopicprocedures suchas EndoscopicMucosalResection (EMR),EndoscopicSubmucosalDissection(ESD)andPerOralEndoscopicMyotomy(POEM).

ConclusionsInthispaperwehavepresentedaprototypevirtualrealityforce-feedbackenabledsimulatorforNOTES,whichsupportsatrans-gastrichybridcholecystectomyprocedureusingaflexibleendoscope.Atthisstageofdevelopment,thefocushasbeenonteachingofspecificendoscopicmanipulationsrequiredforNOTES,yetNOViSEhasestablishedpromisingfoundationsforfurtherdevelopment.Theoperatorinteractswith

Experts Novices

Navigation 44 68

1stClipping 74 194

Clipping/Cutting 83 228

Dissection 333 683

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1stClipping 50 191

Clipping/Cutting 17 134

Dissection 250 527

0100200300400500600700800900

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th(cm)

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thevirtualendoscopeviaacustombuilthapticdevice.Thebehaviourofthevirtualflexibleendoscopeisbased on the Cosserat theory, allowing for realistic recreation of bending and twisting of the virtualendoscope,aswellasguaranteeingafastresponsetousermanipulationsandincorporatinggravityasaconstant force in the supine position. The efficient, multi-threaded implementation enables thesimulationtorunefficientlyonanoff-the-shelfPCorlaptopathapticinteractiverates.

Inapreliminaryvalidationstudy [19],NOViSEhas showngoodoverall faceandcontentvalidity,withimprovementssuggestedtothefeelofthehapticdeviceanddesignofthehandpiece.Participantsagreedthat NOViSE is sufficiently realistic, it can be a useful training tool for NOTES and that they wouldrecommendittoothers.NOViSEalsodemonstratedearlysignsofconstructvalidity.Expertswerefasterandhadbettereconomyofmovementsthannovicesin3outof4tasksthannovices.

TheseinitialresultsindicatethatNOViSEcanrecreateatrans-gastrichybridcholecystectomyprocedure,potentially contributing to surgical training and to improving the educational experience for NOTES,withoutputtingpatientsatrisk,raisingethicalissuesorrequiringexpensiveanimalorcadavericfacilities.Moreover,consideringthatNOTESisstillanexperimentaltechniquewithoutanestablishedcurriculum,NOViSEoffersthepossibilitytofacilitate itsdevelopmentthroughVRsimulation.For instance, inpre-operativeplanningorprototypingof new surgical devices.NOViSE couldalsopotentially support thewideradoptionofNOTESandadvancedendoscopyproceduresbykeepingpractitionersuptodatewiththesenovelminimallyinvasivesurgerytechniques.

Acknowledgment:Theauthorswishtothankthestudyparticipants.

Funding:TheprojecthasbeenfundedbytheEPSRC(EngineeringandPhysicalSciencesResearchCouncil)InstitutionalSupportFund(GrantcodeEP/J018201/1).

ConflictofInterest:PKorzeniowski,ABarrow,MHSodergrenandNHalddeclarethatthereisnoconflictofinterest.DrBelloreportsgrantsfromEngineeringandPhysicalScienceResearchCouncil,duringtheconductofthestudy;heisalsoafoundershareholderandunpaidDirectorofConvincisLtd,outsidethesubmittedwork.

Informedconsent:Informedconsentwasobtainedfromallindividualparticipantsincludedinthestudy.

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