Introduction Minimum contrast estimator Integrated di usion process Extension for neuron models Discussion

Adeline Samson

Description

Introduction Minimum contrast estimator Integrated di?usion process Extension for neuron models Discussion Minimum contrast parametric estimator. Application to stochastic neuron models Adeline Samson Collaboration with Michèle Thieullen Laboratoire MAP5, CNRS UMR 8145, Universite Paris Descartes

• general problem


• contrast estimator


• introduction minimum


• stochastic morris-lecar


• morris-lecar model


• integrated di?usion process

Sujets

• Samson
• Morris?Lecar model

Informations

• Publié par: pefav
• Nombre de lectures: 38

Extrait

chasticIntroMAP5,ductionoMDescainimumAconThieullentUniversiterasttoestimatomorSamsonIntegratedwithdiusionopUMRroacessApplicationExtensionstofoneuronrdelsnedelineurCollabonrationmoMich?ledelsLabDiscussionratoireMinimumCNRScontrast8145,paPrametricrisestimatortesr.




)


rIntegratedrametersdiusion...proachrococessrastExtensionrametricfochasticrpanedelurponwnmocondelsOurDiscussionMotivation:Introrris-LedudelcestimatititoestimatonGeneralNeuronroblemmoUnknodelspaMtIntegrate-repamoestimationdelappductioninimumMostorris-LecaMorcaGeneralmomethoforstatisticalmoddelrIntrorametricoofnHodiusiondgkin-Huxlecieneymo= ( ; ) + ( )
( )1=
( )
= [ ( )( ) + ( ) + ( )]1

( ) = +1
= ( ; ; ; ; ; ; ; ; )
= ( ) ( )1
Vdtgcessdtroofw0pCadiusion2V1tVIntegratedrametersWgtmorVestimato2VvttrastonIV0wntmoCC1lconggkCaLmdeltrinimumpaVfunctionstt,M2V1ttanhVvCa1duction2IntroUnknogpaKIW1ttDiscussiondVVCatVVdeKKfoVdWrExtensionLrris-LecaVLMoI1VVtmoVcaLerrametersmthenewtris-LvrWurdelsvMog= ( ; ; )
= ( )( ) ( )
( ) ( )
( ) ( )1 1
( ) = ; ( ) =
( ) ( )
trpIat1estimatoverdWMotchannelsdtfrastontmorris-2ofconinVdiusionttinimumw1tWttdelMtduction1foV2ratesIntrootening/closinggatestionicExtensionVW2tVwithpcessroDiscussiondttVIntegrateddVWiVtsmoOther,2onVtr2LecurwVrttne=delsVV2V
!1




rorconIntegratedbdiusionrppronumbcessMExtensionlafostorcessesneNurofonNmoModelsdeterministicDiscussionrastestimatochasticMosystemrchasticris-Lroeindexedcayr,withernoisechannelsPWhenakdaman,inimumThieductionullen,rris-LecatasWhenlimitniteWNainriband(2009)rgeIntroLangevinappfamilyximationofStoNdierentialhybrid= ( ; ; )
= ( ( )( ) ( ))
q
p+ ( )( ) +