两大部类再生产数学模型研究(英文)

两大部类再生产数学模型研究(英文)IntroductionMathematical models play an essential role in the study of reproduction

() 两大部类再生产数学模型研究英文 Introduction Mathematicalmodelsplayanessentialroleinthestudyof reproductioninlivingorganisms.Biologicalsystemscanbe dividedintotwobroadcategories:asexualandsexual reproduction.Themathematicalmodelsforeachofthese categorieswouldbedifferent,giventhemannerinwhichgenetic informationispassedonfromonegenerationtoanother.This paperaimstoexplorethenatureofasexualandsexual reproductionandthemathematicalmodelsthathavebeen developedtounderstandthem. AsexualReproduction Asexualreproductionistheprocessbywhichanorganism producesoffspringthataregeneticallyidenticaltoitself.Thus,the onlysourceofgeneticvariationinasexualreproductionisdueto mutation.Asexualreproductioniscommonlyfoundinunicellular organismssuchasbacteriaandyeast,aswellasinsomeplants andanimals.Themostcommonformsofasexualreproductionare binaryfission,budding,fragmentation,andparthenogenesis. Binaryfissioninvolvesthesplittingofacellintotwoidentical daughtercells.Mathematicalmodelsthatdescribetherateofcell divisioninapopulationofmicrobeshavebeenstudied extensively.Thesemodelsincludethelogisticmodel,the Gompertzmodel,andtheLotka-Volterramodel. Buddingisaformofasexualreproductionthatoccursin organismssuchashydraandyeast.Inhydra,asmallbudgrowson theparentorganismandeventuallydevelopsintoanew organism.Mathematicalmodelsthatsimulatethegrowthofbuds havebeendevelopedusingfractalgeometry. Fragmentationisaformofasexualreproductioncommonin algaeandfungi.Infragmentation,apartoftheparentorganism breaksoffandgrowsintoanewindividual.Mathematicalmodels thatdescribethegrowthoffragmentsintheseorganismshave beendevelopedusingdiffusionequations. Parthenogenesisisaformofasexualreproductionfoundin someinsects,reptiles,andfish.Inparthenogenesis,thefemale producesoffspringfromunfertilizedeggs.Mathematicalmodels