Trends in Biomathematics: Modeling, Optimization and Computational Problems: Selected works from the BIOMAT Consortium Lectures, Moscow 2017 PDF
Preview Trends in Biomathematics: Modeling, Optimization and Computational Problems: Selected works from the BIOMAT Consortium Lectures, Moscow 2017
Rubem P. Mondaini Editor Trends in Biomathematics: Modeling, Optimization and Computational Problems Selected works from the BIOMAT Consortium Lectures, Moscow 2017 Trends in Biomathematics: Modeling, Optimization and Computational Problems Rubem P. Mondaini Editor Trends in Biomathematics: Modeling, Optimization and Computational Problems Selected works from the BIOMAT Consortium Lectures, Moscow 2017 123 Editor RubemP.Mondaini President,BIOMATConsortium–International InstituteforInterdisciplinarySciences RiodeJaneiro,Brazil FederalUniversityofRiodeJaneiro RiodeJaneiro,Brazil ISBN978-3-319-91091-8 ISBN978-3-319-91092-5 (eBook) https://doi.org/10.1007/978-3-319-91092-5 LibraryofCongressControlNumber:2018949162 MathematicsSubjectClassification(2010):92Bxx,92B05,92-08,62P10 ©SpringerInternationalPublishingAG,partofSpringerNature2018 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpartof thematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation, broadcasting,reproductiononmicrofilmsorinanyotherphysicalway,andtransmissionorinformation storageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodology nowknownorhereafterdeveloped. Theuseofgeneraldescriptivenames,registerednames,trademarks,servicemarks,etc.inthispublication doesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevant protectivelawsandregulationsandthereforefreeforgeneraluse. Thepublisher,theauthorsandtheeditorsaresafetoassumethattheadviceandinformationinthisbook arebelievedtobetrueandaccurateatthedateofpublication.Neitherthepublishernortheauthorsor theeditorsgiveawarranty,expressorimplied,withrespecttothematerialcontainedhereinorforany errorsoromissionsthatmayhavebeenmade.Thepublisherremainsneutralwithregardtojurisdictional claimsinpublishedmapsandinstitutionalaffiliations. Printedonacid-freepaper ThisSpringerimprintispublishedbytheregisteredcompanySpringerNatureSwitzerlandAG Theregisteredcompanyaddressis:Gewerbestrasse11,6330Cham,Switzerland Preface Thepresentbookisacollectionofpaperswhichhavebeenacceptedforpublication after a peer review evaluation by the Editorial Board of the BIOMAT Consortium (http://www.biomat.org)andad-hocinternationalreferees.Thesepapershavebeen presentedatthetechnicalsessionsoftheBIOMAT2017InternationalSymposium, the 17th Symposium of the BIOMAT Series which was held at the Institute of Numerical Mathematics of the Russian Academy of Sciences–Russia, from 30th Octoberto03rdNovember2017.OnbehalfoftheBIOMATConsortium,wethank the Director of the Institute, Prof. Eugene Tyrtyshnikov, and the Co-Chairs of the BIOMAT2017LocalOrganizingCommittee,Prof.YuriVassilevskiandProf.Vitaly Volpert,fortheirtechnicalexpertiseinfollowingtheguidelinesandfinetraditionof the BIOMAT Consortium for preserving the excellency of the BIOMAT Sympo- sium Series on this first BIOMAT Conference in Russia. Research collaborators, Ph.D. Students and Secretaries of the Institute like Alexander Danilov, Tatiana Dobroserdova, Konstantin Novikov, Roman Pryamonosov, Nina Gorodnova and Anna Zagumennykh have done their best to provide all local technical facilities tohelpthespeakersduringthescientificsessionsaswellastofollowtheScientific ProgrammeoftheBIOMAT2017.Wearesomuchindebtedfortheirinvaluablehelp since the Opening Session on Monday morning to the Closing Session on Friday evening. Financial support in terms of accommodation, lunches and coffee-breaks has been provided by the Institute of Numerical Mathematics, the International Union ofBiologicalSciences,theInterdisciplinaryScientificCenterJean-VictorPoncelet, Russian Foundation for Basic Research, Parseco Foundation, and the Federal Agency for Scientific Organizations. We are also indebted for the special offer of accommodationoftheKeynoteSpeakersandthestaffoftheBIOMATConsortium inthehoteloftheSteklovMathematicalInstitute,RussianAcademyofSciences. TheBIOMATConsortiumhassucceededoncemoreinitsfundamentalmission ofenhancingtheinterdisciplinaryscientificactivitiesofMathematicalandBiolog- icalSciencesinDevelopingCountrieswiththeorganizationoftheBIOMAT2017 International Symposium. Participants from Western and Eastern Europe, Asia, v vi Preface Africa,NorthandSouthAmericahadtheusualopportunityofexchangingscientific feedbackoftheirresearchfieldswiththeircolleaguesfromRussianFederationand delegatescomingfromother13countries:Serbia,France,Brazil,Cuba,ChinaP.R., Morocco,India,UK,USA,Pakistan,Portugal,Hungary,Italy. The Editor of the book and President of the BIOMAT Consortium is very glad forthecollaborationandcriticalsupportofhiswifeCarmemLuciaontheeditorial work, from the reception of submitted papers for the peer review procedure of BIOMAT Consortium Editorial Board to the ultimate publication of the Scientific Programme. He also thanks his research student Simão C. de Albuquerque Neto from the Federal University of Rio de Janeiro for his computational skills and technicalexpertisewithLaTeXversions. Moscow,RussianFederation RubemP.Mondaini November2017 Editorial Board of the BIOMAT Consortium RubemMondaini(Chair) FederalUniversityofRiodeJaneiro,Brazil AdeliaSequeira InstitutoSuperiorTécnico,Lisbon,Portugal AlainGoriely UniversityofArizona,USA AlanPerelson LosAlamosNationalLaboratory,NewMexico,USA AlexanderGrosberg NewYorkUniversity,USA AlexeiFinkelstein InstituteofProteinResearch,Russia AnaGeorginaFlesia UniversidadNacionaldeCordoba,Argentina AnnaTramontano UniversityofRome,LaSapienza,Italy AvnerFriedman OhioStateUniversity,USA CarlosCondat UniversidadNacionaldeCordoba,Argentina CharlesPearce UniversityofAdelaide,Australia DeniseKirschner UniversityofMichigan,USA DavidLandau UniversityofGeorgia,USA DeWittSumners FloridaStateUniversity,USA DingZhuDu UniversityofTexas,Dallas,USA DorothyWallace DartmouthCollege,USA EduardoMassad FacultyofMedicine,UniversityofS.Paulo,Brazil EytanDomany WeizmannInstituteofScience,Israel EzioVenturino UniversityofTorino,Italy FernandoCordova-Lepe CatholicUniversitydelMaule,Chile FernandoR.Momo UniversidadNacionaldeGen.Sarmiento,Argentina FredBrauer UniversityofBritishColumbia,Vancouver,Canada FrederickCummings UniversityofCalifornia,Riverside,USA GergelyRöst UniversityofSzeged,Hungary GuyPerriére UniversitéClaudeBernard,Lyon,France GustavoSibona UniversidadNacionaldeCordoba,Argentina HelenByrne UniversityofNottingham,UK JacekMiekisz UniversityofWarsaw,Poland JackTuszynski UniversityofAlberta,Canada vii viii EditorialBoardoftheBIOMATConsortium JaimeMena-Lorca PontificalCatholicUniversityofValparaíso,Chile JaneHeffernan YorkUniversity,Canada JeanMarcVictor UniversitéPierreetMarieCurie,Paris,France JerzyTiuryn UniversityofWarsaw,Poland JohnHarte UniversityofCalifornia,Berkeley,USA JohnJungck UniversityofDelaware,Delaware,USA JoséFontanari UniversityofSa˜oPaulo,Brazil KazeemOkosun VaalUniversityofTechnology,SouthAfrica KristinSwanson UniversityofWashington,USA KersonHuang MassachusettsInstituteofTechnology,MIT,USA LisaSattenspiel UniversityofMissouri-Columbia,USA LouisGross UniversityofTennessee,USA LudekBerec BiologyCentre,ASCR,CzechRepublic MichaelMeyer-Hermann FrankfurtInst.forAdv.Studies,Germany NicholasBritton UniversityofBath,UK PanosPardalos UniversityofFlorida,Gainesville,USA PeterStadler UniversityofLeipzig,Germany PedroGajardo FedericoSantaMariaUniversity,Valparaíso,Chile PhilipMaini UniversityofOxford,UK PierreBaldi UniversityofCalifornia,Irvine,USA RafaelBarrio UniversidadAutonomadeMexico,Mexico RamitMehr Bar-IlanUniversity,Ramat-Gan,Israel RaymondMejía NationalInstitutesofHealth,USA RebeccaTyson UniversityofBritishColumbia,Okanagan,Canada ReidunTwarock UniversityofYork,UK RichardKerner UniversitéPierreetMarieCurie,Paris,France RiszardRudnicki PolishAcademyofSciences,Warsaw,Poland RobijnBruinsma UniversityofCalifornia,LosAngeles,USA RuiDilão InstitutoSuperiorTécnico,Lisbon,Portugal SandipBanerjee IndianInstituteofTechnologyRoorkee,India SeyedMoghadas YorkUniversity,Canada SivSivaloganathan CentreforMathematicalMedicine,FieldsInstitute,Canada SomdattaSinha IndianInstituteofScience,EducationandResearch,India SuzanneLenhart UniversityofTennessee,USA VitalyVolpert UniversitédeLyon1,France WilliamTaylor NationalInstituteforMedicalResearch,UK YuriVassilevski InstituteofNumericalMathematics,RAS,Russia ZhijunWu IowaStateUniversity,USA Contents EvolutionofSpatialPatternsinHost-ParasitoidMetapopulation ......... 1 BrajendraK.SinghandSomdattaSinha DarkStatesinQuantumPhotosynthesis ...................................... 13 S.V.KozyrevandI.V.Volovich BoundaryControlProblemsinHemodynamics.............................. 27 AdéliaSequeira,JorgeTiago,andTelmaGuerra SegmentationTechniquesforCardiovascularModeling .................... 49 A.A.Danilov,R.A.Pryamonosov,andA.S.Yurova DynamicsofanInfectiousDiseaseIncludingEctoparasites,Rodents andHumans ...................................................................... 59 A.DénesandG.Röst p-AdicSideoftheGeneticCodeandtheGenome ........................... 75 BrankoDragovichandNatašaŽ.Mišic´ Stochastic Assessment of Protein Databases by Generalized EntropyMeasures................................................................ 91 R.P.MondainiandS.C.deAlbuquerqueNeto WhyIsEvolutionImportantinCancerandWhatMathematics ShouldBeUsedtoTreatCancer?FocusonDrugResistance............... 107 Luís Almeida, Rebecca H. Chisholm, Jean Clairambault, Tommaso Lorenzi,AlexanderLorz,CamillePouchol,andEmmanuelTrélat OptimalResourceAllocationforHIVPreventionandControl............. 121 DmitryGromov,IngoBulla,andEthanO.Romero-Severson The Inverse Magnetoencephalography Problem and Its Flat Approximation ................................................................... 139 A.S.DemidovandM.A.Galchenkova ix x Contents Reaction–DiffusionEquationswithDensityDependentDiffusion ......... 153 V.N.Razzhevaikin APlankton-NutrientModelwithHollingTypeIIIResponseFunction.... 167 AnalChatterjee,SamaresPal,andEzioVenturino ModelingtheEndophyticFungus Epicoccum nigrumActionto Fightthe“OliveKnot”DiseaseCausedbyPseudomonassavastanoi pv.savastanoi(Psv)BacteriainOleaeuropaeaL.Trees ..................... 189 CeciliaBerardo,IuliaMartinaBulai,EzioVenturino,PaulaBaptista, andTeresaGomes NumericalModelingofTranscranialUltrasound............................ 209 I. B. Petrov, A. V. Vasyukov, K. A. Beklemysheva, A. S. Ermakov, A. O. Kazakov, Y. V. Vassilevski, V. Y. Salamatova, A. A. Danilov, G.K.Grigoriev,andN.S.Kulberg OntheDynamicsofaDiscretePredator–PreyModel ....................... 219 PriyankaSaha,NandadulalBairagi,andMilanBiswas FrequentTemporalPatternMiningwithExtendedLists ................... 233 A.KocheturovandP.M.Pardalos UnravellingtheSensitivityofTwoMotifStructuresUnderRandom Perturbation...................................................................... 245 SuvankarHalder,SamratChatterjee,andNandadulalBairagi Modelling the Adaptive Immune Response in HIV Infection withThreeSaturatedRatesandTherapy..................................... 265 KaramAllali NumericalStudyonBiologicalTissueFreezingUsingDualPhase LagBio-HeatEquation.......................................................... 283 SushilKumarandSonalikaSingh Computational Modeling of Multiple Stenoses in Carotid andVertebralArteries........................................................... 301 T.Gamilov,S.Simakov,andP.Kopylov DelayInducedOscillationsinaDynamicalModel forInfectiousDisease ............................................................ 313 A.KumarandP.K.Srivastava PressureGradientInfluenceonGlobalLymphFlow ........................ 325 A.S.MozokhinaandS.I.Mukhin BloodFlowsinVascularNetworks:NumericalResults vsExperimentalData............................................................ 335 T.K.Dobroserdova,A.A.Cherevko,andE.A.Sakharova
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