基于耦合扩散的肿瘤转移与骨髓来源的抑制细胞相互作用模型

打开文本图片集

A coupled diffusion-based model of interaction between tumor metastasis and myeloidderived suppressive cells

HUANGYating，WANGZhenyo SchoolofathematicsandStatistics，Guangdongniversityofechnology，Guangzhouo5ina

Abstract： Objective Toexplore thekeyroleof myeloid-derived suppresive cels （MDSCs）inpre-metastaticniche （PMN）and analyzetheir interrelationships withthemain components inthe microenvironment usingamathematical model.Methods Mathematical descriptions wereused tosystematicallanalyzethefunctions of MDSCs intumor metastasisand elucidate their associationwiththemajorcomponents （vascularendothelialcells，mesenchymal stromalcels，andcancer-associated macrophages）contributing tothe formationof the pre-metastaticmicroenvironment.Based ontheformation principleof the pre-metastaticmicroenvironmentoftumors，thekeybiologicalproceseswereassumedtoconstructacoupledpartial differential difusionequation model.The existenceanduniquenessof the model solutionswere investigatedusing approximationmethods，thequalitativetheoryofpartialdiferentialequationsandBanach'simmovablepointtheoremand numericalsimulationswerecariedoutbydiferentialnumericalmethodstoverifythereliabilityandacuracyofthemodel. ResultsThe existence anduniquenessofthelocalandoverallsolutionsof themodelwere provedusing theapproximation method，thequalitativetoryofpartialdierentialequatinsandanach'simmoablepointteorminombinationwiththe regularityestimationof thelocalsolutionsandtheembeddinginequality.Numericalsimulationresultsfurther validatedthe reliabilityof the modeland demonstratedthe importantroleof MDSCs inthe pre-metastatic microenvironmentof tumors， especiallyinangiogenesisand immunosuppresion.Conclusion This studyreveals theimportantfunctions ofMDSCsinthe pre-metastatic microenvironmentof tumors through mathematical modelingandnumerical simulation，which providesan importanttheoreticalbasisfor understandingthemechanismoftumor metastasisanddevisingcancertreatmentstrategies. Keywords： tumor metastasis; coupled diffusion; partial diferentiation; existence uniquenes; suppressive cels

肿瘤严重威胁人类健康，危害身体甚至危及生命。（剩余12782字）