2- Multi-Effect-Coupling pH-Stimulus (MECpH) Model for pH-Sensitive Hydrogel

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1、Chapter2Multi-Effect-CouplingpH-Stimulus(MECpH)ModelforpH-SensitiveHydrogel2.1IntroductionIngeneral,thedegreeofswelling/shrinkingofasmarthydrogelisdependentuponmanyeffects,suchastheionizablegroupandpolymericnetworkstructureofthehydrogelandthecharacteristicsofenvironmentalsolutionsi

2、ncludingthecom-position,pHandtemperature,inwhichtherearedifferentinteractionsbetweenmechanical,chemicalandelectricalfields.Inthischapter,amultiphysicsmodelisdevelopedforsimulationoftheswelling/deswellingbehaviourofthehydrogelresponsivetosurroundingpHwhenthehydrogelisimmersedinthebuf

3、feredsolution,calledthemulti-effect-couplingpH-stimulus(MECpH)model.ThemodelisbasedonPoisson–Nernst–Planck(PNP)formulationandderivedincombinationwiththespeciesdiffusion,pendentionizablegroupdissociationreactionandelectricpotentialeffectforthedistributiveprofilesofionicconcentrations

4、andelectricpotentialwithinboththehydrogelandbathingsolutiondomainsinresponsetothechangeinpHofsurroundingsolution.ThePNPequationsarecoupledwithnonlinearmechanicalequilibriumgovern-ingequationforanalysisoflargedeformationofthepH-sensitivehydrogel.TheMECpHmodelisvalidatedbycomparisonb

5、etweenthesimulationresultsandpub-lishedexperimentdataavailableintheliterature.Itisfollowedbycomprehensiveparameterstudiesfortheinfluencesofhydrogelmaterialpropertiesandenviron-mentalsolutionsontheresponsiveperformanceofthepH-sensitivehydrogelwhenplacedinthebufferedsolution.2.2Develo

6、pmentoftheMECpHModelExtensivesearchofliteraturerevealsthatmostofthetheoreticalmodelsareeitheroversimplifiedtolimitapplicabilityortoocomplextoaccountflexiblyforsignifi-cantparametersrequestedbyexperiments.Therefore,theobjectiveofthissectionistoformulateatheoreticalmodelwithclearfundame

7、ntal,veryrobustnessandpossibleextensionforawiderangeofapplications.Thisisamultiphysicsmodelandtermedthemulti-effect-couplingpH-stimulus(MECpH)model.ItisdevelopedH.Li,SmartHydrogelModelling,DOI10.1007/978-3-642-02368-2_2,57CSpringer-VerlagBerlinHeidelberg2009582MECpHModelforpH-Sens

8、itiveHydrogelmathematicall