Page - 32 - in Advanced Chemical Kinetics

models is evenmore seldom. Therefore, more effort in the future research is needed in this direction inordertodevelopmoredetailedmodelsandaccuratesimulationsthatcanassist the rationaldevelopmentandoptimizationofenzymeelectrodes. Authordetails LakshmananRajendran1*,MohanChitraDevi1,CarlosFernandez2andQiumingPeng3 *Addressall correspondence to: raj_sms@rediffmail.com 1 DepartmentofMathematics, Sethu InstituteofTechnology,Pulloor,Kariapatti, India 2 SchoolofPharmacyandLifeSciences,RobertGordonUniversity,UK 3 StateKeyLaboratoryofMetastableMaterialsScienceandTechnology,YanshanUniversity, Qinhuangdao,China References [1] ArisR.TheMathematicalTheoryofDiffusionandReaction inPermeableCatalysts.Vol. 1.Clarendon:Oxford;1975 [2] Engasser JM,HorvathC. Effect of internal diffusion in heterogeneous enzyme systems: Evolution of true kinetic parameters and substrate diffusity. Journal of Theoretical Biol- ogy.1973;42:137-155 [3] Cheviollotte P. Relation between the reaction cytochrom oxidase-oxygen and oxygen uptake incells invivo:Theroleofdiffusion. JournalofTheoreticalBiology.1973;39:277-295 [4] McElwainDLS.A re-examinationof oxygendiffusion in a spherical cellwithMichaelis- Mentenoxygenuptakekinetics.TheoreticalBiology.1978;71:205-263 [5] Lin SH. Oxygen diffusion in a spherical shell with nonlinear oxygen uptake kinetics. JournalofTheoreticalBiology.1976;60:449-457 [6] HoSP,KostinMD.Diffusionwith irreversiblechemical reaction inheterogeneousmedia: Application to oxygen transport in respiring tissue. Journal of Theoretical Biology. 1997;64:237-251 [7] PopeAS.Diffusion in tissue sliceswithmetabolismobeyingMichaelis-Menten kinetics. JournalofTheoreticalBiology.1979;80:325-332 [8] LimSH.Amodifiedmodel forpredicting theperformanceofacompactartificialkidney. JournalofTheoreticalBiology.1972;77:441-451 [9] ShlomiR,MichaelU, JosephK.Role of substrate unbinding inMichaelis-Menten enzy- matic reactions.Proceedingsof theNationalAcademySciences. 2012;111:4391-4396 Advanced Chemical Kinetics32