家兔红细胞阻抗谱的实验和等效电路拟合研究

255200610ChineseJournalofBiomedicalEngineeringVol.25No.5October2006:2005205208,:2006207203:(2005030)3E2mail:[e-mail]1321(,3152113)2(,65728501)::RC:0101MHz100MHz,Agilent4294A,BodeNyquistNicolsRandles,RC:(1)fc1=215MHz,fc2=5125MHz;(2),312;(3)01458FPcm2:,3:;;;;StudiesonExperimentalandEquivalentCircuitFittingoftheRabbitErythrocytesImpedanceSpectraMAQing13,SUZAKIToshinibu21(DepartmentofPhysiology,MedicalSchoolofNingboUniversity,Ningbo3152211)2(DepartmentofBiology,FacultyofScience,KobeUniversity,Kobe657-8501)Abstract:Objective:Tostudyimpedancespectraofrabbiterythrocytes,andestablishitsequivalentcircuitmodelparameters.Method:TheACimpedanceofrabbiterythrocyteshavebeenmeasuredwiththeAgilent4294Aimpedanceanalyzeratfrequencyrangeof0101MHz100MHz,thencurvefittingresidualerrorofrabbiterythrocytesequivalentcircuithavebeencomparedbytheBodeplot,theNyquistplot,theNicolsplotandtheRandlesplot.Results:1)Thecharacteristic1stfrequency(fc1)was215MHz,thecharacteristic2ndfrequency(fc2)was5125MHzforimpedancespectraofrabbiterythrocytes;2)Curvefittingresidualerrorofequivalentcircuitofmodel-3waslessthanthoseofmodel-1andmodel-2;3)Themembranecapacitanceofequivalentsingleerythrocytewasabout01458FPcm2.Conclusion:Theimpedancespectraofrabbiterythrocyteshavepresentedtwocharacteristicfrequency(fc1,fc2),andmodel-3isoneofthemostappropriateequivalentcircuitmodels.Keywords:erythrocytes;impedancespectroscopy;membranecapacitance;membraneresistance;equivalentcircuitmodelR318.04;A025828021(2006)0520566205,[1][2][3][4],:[1],[5],[6],,©1994-2006ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.(curvefitting),RC,RC,11.1115kg2kg5,20%(5mLPkg),60mL,300rpmPmin10min,,,,,,,1.2(75mm,115mm)SH120,12000rpm,5min,(L)(),Hct=(PL)100%Hct48%014%(n=5)1.3Agilent4294A,0101MHz110MHz126,3,500mV,20mA2(|Z|)(measuringcell)Pt,d=814mm,l=7mm,014mL2511.4Re[cm]Ri[cm]Ci[FPcm]Rm[cm]Cm[FPcm]Cm-S[FPcm2]=2ff:j=-1:Z3=|Z3|e-j=Z+jZ(1):Z=|Z3|cos(2):Z=|Z3|sin(3):|Z3|=Z2+Z2(4):=tan-1ZZ(5)11511Z3=11Re+1Ri+1jCm=Z+jZ(6)Z=R2eR2i(1+A2)(A2(R2i+ReRi)+R2i)(AReRi)2+(A2(R2i+ReRi)+R2i)2(7)Z=-AR2eR3i(1+A)(AReRi)2+(A2(R2i+ReRi)+R2i)2(8)12:Z3=11Re+1Ri+1jCm+1Rm=Z+jZ(9)Z=Re(D2+E2)(D2+ReRiBD+E2)(ReRiBE)2+(D2+ReRiBD+E2)2(10)Z=-R2eRiBE(D2+E2)(ReRiBE)2+(D2+ReRiBD+E2)2(11)13:Z3=11Re+11jCi+1Ri+1jCm+1Rm=Z+Z(12)Z=ReF(F+G)(F+G)2+H2(13)Z=-ReHF(F+G)2+H2(14)(7)(14):A=CmRi;B=1+2C2mR2m;C=1+2C2iR2i;D=R2iB+RmRi;E=CmR2mRi;F=(BRi+CRm)2+2(CiR2iB+CmR2mC)2;G=BCRe(BRi+CRm);H=BCRe(CiR2iB+CmR2mC)1.6Zview7655:©1994-2006ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.(Z3)=6ni=1Z3obs-Z3theorZ3max,obs-Z3min,obs100n(15)R()=6ni=1obs-theormax,obs-min,obs100n(16)R(Z)=6ni=1Zobs-ZtheorZmax,obs-Zmin,obs100n(17)R(Z)=6ni=1Zobs-ZtheorZmax,obs-Zmin,obs100n(18)2,,,,,,,2.11:1,:Re,Ri(),Cm;21Rm,12[5,7];32Ci,(hemoglobin)(10MHz)[8,9],Ci,Zview1,11Fig.1Theequivalentcircuitmodelofrabbiterythrocytes1Tab.1Theequivalentcircuitfittingparametersofrabbiterythrocytesimpedancespectra.[R:cm;C:FPcm]123ReRiCmReRiCmRmReCiRiCmRm1871781.219E-101871781.219E-101E71879.156E-12184.41.219E-101E72.2BodeNyquist2Hct=48%Bode,:[Z3(f)][(f)](),(222)12,()32Af,|Z3|,:f105Hz(),;f=105Hz107Hz,,;f107Hz,()2B,,,fc2=5125MHz,fc2ZZ3,Z-ZNyquistNyquist,fc1=215MHz,fc1fc1fc2,,,86525©1994-2006ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.(Re)(RmCm),,;Ci,3,34Fig.4Thethree2dimensionalstereographofimpedancespectroscopyofrabbiterythrocytes4,(),()[Z(f)Z(f)Z(Z)],()34,2.3NicolsRandles5LogZ3(),NicolsNyquist(3),(fc2),Nicolsfc25NicolsFig.5TheNicolsplotofrabbiterythrocytes,6RandlesRe(fc1)6RandlesFig.6TheRandlesplotofrabbiterythrocytes2312,3Ci,9655:©1994-2006ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.(Z3)R()R(z)R(z)R(Z3)R()R(Z)R(Z)R(Z3)R()R(Z)R(Z)(%)4.0713.384.0519.334.0813.384.0519.333.474.023.038.622.41Cm(Cm2wholecells),,[19](Cm2singlecell,Cm2s)[10]:Cm-s=49CmrHct(19)r21465m[11],Hct=48,1Cm=12119pFPcm,,Cm-s=01458FPcm23BodeNyquistNicolsRandles,:fc1=215MHz,fc2=5125MHz;,RC:(CiRj)(CmRm)Re3[1],,,.[J].,1999,11(2):80-82.[2],,.Cole2Cole[J].,2003,22(4):309-312.[3],.Jurkat[J].,2005,21(1):65-70.[4],,,.[J].,2001,18(3):168-170.[5],.[J].,1997,16(3):223-227.[6],.[J].,2004,21(1):33-35.[7],,.[J].,2001,34(2):205-208.[8]SimeonovaM,WachnerD,GimsaJ.Cellularabsorptionofelectricfieldenergy:influenceofmolecularpropertiesofthecytoplasm[J].Bioelectrochemistry,2002,56(1-2):215-218.[9]TakashimaS,KuchumovAR,VinogradovSN.TheapparentlysymmetricalhexagonalbilayerhemoglobinfromLumbricusterrestrishasalargedipolemoment[J].BiophysicalChemistry,1999,77(1):27-35.[10]ChiabreaA,NicoliniC,SchwanHP.inInteractionbetweenElectromagneticFieldsandCell[M].Plenum,NewYork,1985,83.[11],,,.[J].,1994,15(2):12-17.07525©1994-2006ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.