Team#2457page2of8TittleofpaperSummary/AbstractKeywords:I.Introduction(引言)Organtransplantationisapreferabletreatmentforthemostseriousformsofend-stagediseases.Inrecentyears,advancesinmedicalscienceandtechnologyhavemadesolidorgantransplantationanincreasinglysuccessfulandcommonmedicalprocedure,aliteral''secondchanceatlife".Notonlydoesitofferthebesthopeforcompleterehabilitation,butithasalsoprovedtobethemostcost-effectiveofalltreatmentoptions,includingdialysis.Consequently,moreandmorepeoplearebenefitingfromorgantransplantsandtheirsurvivalratesaresteadilyimproving.Thesurgicaltechniquesinvolvedhavebeenmasteredforhalfacenturyandarenowconsideredasroutine.Thetwomainsourcesofkidneysfortransplantationaredeceased-donorkidneysandlive-donationsfromfamilyandfriends.However,unfortunately,thereisaconsiderableshortageofdonororgans,comparedtodemands.Asamatteroffact,efficientmatchingandallocationoforgansdonatedhasbecomeanexigentproblem.TheUnitedNetworkforOrganSharing(UNOS),astheoperatoroftheOrganProcurementandTransplantationNetwork(OPTN),isresponsiblefortransplantorgandistributionintheUnitedStates.UNOSoverseestheallocationofmanydifferenttypesoftransplants,includingliver,kidney,pancreas,heart,lung,andcornea.Focusingonkidneytransplantation,basedonUNOSKidneyAllocationModel,wedevelopamathematicalmodelforUStransplantnetworks.First,incomingorgansarematchedwithwaitingcandidatesbymedicalinstitutionsconsideringthefactorsasABObloodcompatibility,thedegreeofrecipientmajorHLAmismatchinordertoobtainamatchingdegreeappliedontheallocationpart.Afterthat,fromthepatients’perspective,onthebasisoflinearregression,priorityweightisdefinedbyponderingage,diseaseseverity,timeonwaiting,PRAlevel,andregion.Applyingthismechanismofranking,werealizeMWBM(MaximumWeightBipartite-graphMatching)andSMGS(StableMatchingbasedonGale-Shapleyalgorithm).MWBMfocusesontheoptimalassignmentofdonorsfollowingthealgorithmofbipartite-graphmaximumweightmatching;SMGSemphasizestheprocessofexchangesinordertoobtainthestableexchangesbetweendonorsandcandidatesonthewaitinglist.II.TheDescriptionofProblem(问题重述)III.BasicAssumptions·Thelevelofmismatchisonlyrelativetothenumberofantigens.·Thedataandinformationareaccuratelyregisteredaccordingtothemedicalmeasures·Thedataandinformationarerefreshedintimeaccordingtothestatusofthepatients·Nodifferencesinthequalityofthedonorkidneys·ThequalityofthedonorkidneyisconstantIV.DefinitionsandNotations·Kidneytransplantation:Akidneytransplantisasurgicalproceduretoimplantahealthykidneyintoapatientwithkidneyfailure.·Prioritization·MD:MatchingDegree·PW:Prioritizationweight·MWSM:MaximumWeightBipartiteMatching·SMGS:StableMatchingbasedonGale-Shapleyalgorithm或 Notation Definition temperature timeV.ModelsThroughtheinvestigationofUStransplantationnetwork,wedrawageneralpictureofthemechanism.WithreferencetosomeresourcesavailableonthewebsiteofUNOS,aflowchart(Figure1)isdevelopedshowingtheprocedureofthenetwork.Currently,theinitialwaitinglistiscomposedofpatientswhoarewaitingforakidneyorcombinedkidney-pancreastransplant.Forthefirsttime,thepatientsarerequestedtoshowthecorrectandscientificinformationtotheUSkidneytransplantnetworkwhichisneededfordonor-recipientmatching,therankingofpatientsonthewaitinglist,anddeterminingtheoutcomeofthosetransplanted.Thepatients’waitinglistsarecomposedofinitialpatients,historicalpatientsandunsuccessfulrecipientaftertransplantation.Historicalpatientsrefertoregisteredpatientswhosestatushavechangedandhaveaninfluenceontheprocedure.Apatientistakenoffthewaitinglistwhenagraftisofferedandacceptedbythatpatientorthepatientisdeadwhilewaitingforatransplant.Unsuccessfulrecipientsrefertothepatientswhohaveabadresultoftransplantationcallingfortransplantationagain,asitisso-calledrelistFigure1.Aschematicdepictingthestepsoccurringinthetransplantationnetworks......Table1.SurvivalrateinvolvingHLAmismatch LevelofHLAmismatch Survivalrate(%)bydonortype ECD Non-ECD Living 0 60% 74% 87% 1 53% 71% 80% 2 57% 71% 80% 3 52% 70% 79% 4 52% 69% 79% 5 50% 66% 81% 6 47% 65% 79%VI.Conclusions.Ourmodelfortheoptimalallocationofthedonororgansisestablishedbythreemodules,procurementofMDandPW,optimalassignmentbyMWBMmodelandStableMatchingofGale-Shapleyalgorithm.Themodelhasofferedaconvincingprocedureoftheallocationwiththe……VII.Strengthsandweaknesses(模型优缺点)Strengths·……WeaknessesVIII.References注意文献的积累,不要等到文章写完再去重新寻找文献。[1]name(s)ofauthor(s),titleofthepaper,(abbreviated)titleofthejournal(initalics斜体),numberofvolume(inboldface),yearofpublication(inparentheses),numbersofthefirstandlastpages.[2]name(s)ofauthor(s),titleofthebook(initalics),publishinghouse,cityofpublication,yearofpublication.[3]name(s)ofauthor(s),titleofthepaper,in:titleofthebook(initalics),publishinghouse,cityofpublication,yearofpublication,numbersofthefirstandlastpagesofthepaper.如:[1]GengbaoXu,LianzhiZeng.ChineseSimulationTechnologyScalingBravelyWorld'sHeightsinScienceandTechnology,JournaloftheComputerSimulation.21(4),(2004),05-09.[2]LiWu.TheModernDesignMethodsandInnovationofMechanicalProducts,ScienceandTechnologyInnovationHerald.33,(2008).IX.Appendix(附录)美赛经验1.注意英文符号的使用;2.注意建模专业用语的使用;3.平时要记得多积累常用的写作语句、段;4.一般不要目录;5.写作时最好是直接用英文写,逼不得已时用中文写后翻译,用中文写时注意用比较口语化的语句描述,这样比较好翻译;6.在平时
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,让指导老师好好地修改,包括一些常用写作表达、格式等,这样比赛时才会比较从容;7.一定要按时按要求提交论文(电子档一份直发送至美国,交一份电子档,一份纸质档给学校负责老师,再统一邮寄),但千万别慌张,每个队伍仅限发送一次,注意发送时邮件主题的书写;8.电子档不需在前面加控制页,纸质档需在论文前加控制页;9.所有文件一律不允许出现名字,能显示你身份的只有页眉的队号,所以页眉要早早设好;10.美赛成绩只在网上统一公布,每个队伍一个网页(到时会给),获奖证书自己从网页上打印,没有发。11.美赛论文没有给出具体的写作要求,本论文模板仅供参考,写作时不必完全按照,有些模块可以根据具体问题进行改动。祝大家美赛好成绩!黄丹铃2014.12.23控制页(这是去年的,比赛时老师会给) Forofficeuseonly T1 ________________ T2 ________________ T3 ________________ T4 ________________ TeamControlNumber111111 ProblemChosenABC ForofficeuseonlyF1________________F2________________F3________________F4________________ 2014MathematicalContestinModeling(MCM/ICM)SummarySheet(Attachacopyofthispagetoyoursolutionpaper.)(此处写摘要)Typeasummaryofyourresultsonthispage.Donotincludethenameofyourschool,advisor,orteammembersonthispage.页眉:左:Team#2457(队号)右:Page当前页数of总页数无页脚论文标题TimesNewRoman小二加粗摘要一级标题四号TimesNewRoman加粗小四TimesNewRoman加粗一级标题同上正文五号TimesNewRoman一级标题同上一级标题同上模型假设分点用·不用序号符号定义分点用·不用序号一级标题模型正文图片下标:Figure1.(加粗)……(图片名不需加粗)表名:Table1.(加粗)……(表名不需加粗)二级标题小四加粗TimesNewRoman分点列出,用·不用序号一级标题同上期刊名斜体,不需加[J],其他类似年份加括号一级标题,同上附录另起一页不需加入程序不填队号选题不填加入摘要,所有内容在此框框内,不宜过页,摘要不要太长摘要太长时,可以将这两行字去掉_1234567891.unknown_1234567892.vsd������标题�InitialWaitingList�PatientStreamPatientsWaitingLists�Offer/AcceptanceProcess�DonorStream(1)OptimalAssignment(2)StableExchange�AllocationPolicies�PatientStatusChangeTwoStepsPreTxDeathsDeaths&RemovalsRelistYesSurvivabilityMeasuresNoOtherOutputVariablesOurMainTask_1234567890.unknown