30673.噪聲刺激下hodgkinhuxley模型的共振分析

1、天津大學碩士學位論文噪聲刺激下HodgkinHuxley模型的共振分析姓名：管文燁申請學位級別：碩士專業(yè)：檢測技術(shù)與自動化裝置指導教師：王江20090601ABSTRACTNeuralsystemsarecomplicatednetworksconnectedbyalargenumberofneuronsthroughgapjunctionsandsynapseTheinformationtransmissioninneuralnetw

2、orkisrealizedbythefiringandpropagationofactionpotentialThecombinationsofactionpotentialsofcoupledneuronscarryplentyofinformationNoiseplaysanimportantroleinboththeinformationintegrationforasingleneuronandinformationtransm

3、issioninneuralpopulationsSoWecangainadeepunderstandingofthemechanismofinformationcodingandtransmissionbyanalyzingtheeffectsofnoiseonneuronsThisthesismadeabifurcationanalysisonHodgkinHuxleymodelandgotitsbifurcationpointSi

4、nusoidalinputofdifferentamplitudesandfrequencieswasaddednearitssaddlenodebifurcationpointInthiswaywegotthefrequencythatissensitivetothesystemandanalyzedthedifferentpatternsoffiringinthedifferentparameterspacesofinputsign

5、alofthesystemCoherenceresonanceanalysiswasmadeonHodgkinHuxleymodelbyaddingGaussianWhiteNoiseandOrnsteinUhlenbeckNoisetoitrespectivelyThisthesis，forthefirsttime，pointsoutthedifferenceoftheabove—mentionedtwonoisesforthecoh

6、erenceresonancephenomenoninneuralsystemsThisthesisdiscussedthestochagicresonanceandvibrationalresonanceforasingleHodgkinHuxleymodel，andconcludedthatforneuralsystems，noiseandhighfrequencycansubstituteeachotherThisthesisal

7、sogottheappropriatecouplingstrengthandnoiseintensityinstochasticresonanceforexcitatorychemicalcoupledneuronsanddiscreteLaplacianoperatorconnectedneuronarraysBasedontheoriginalresearchinthisthesis，wegotthemechanismofnoise