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The 3-dimensional modelby RoseHindmarsh (1989)

Ayush Sagar

! H#$%ARSH &'THE ASSEMBLY OF IONIC CURRENTS IN A THALAMIC NEURON .1. THE 3-DIMENSIONAL MODEL

#$*S O+ THE RO,A' SO#ET, O+ 'O$%O$ SER#ES -#O'O*#A' S#E$ES. 1989 A/* 00 032 (1088) 042-

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roblem

E5e67ie model or (6hao7i6) burs7 :ring

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roblem Hodg;inHu

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roblem Hodg;inHu Costly networksimulation

Hindmarsh! &. ' - Rose! R. .A model o 7he nere im?ulse using 7@o :rs7-order di5eren7ial eua7ions! $a7ure! 1980

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roblem +i7BHugh$agumo (+H$) (1941)

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roblem

+i7BHugh$agumo(+H$) (1941)

A67ion ?o7en7ial dura7ion C #S#

> Frequency-Current relationship cannot bepredicted correctly.

Redu67ion

> No self-sustained chaotic dynamics

ro@n! A. *.! (1924)! E'ETR# /RRE$T +'OD #$ E#TA'E E''S. y &. &. . &a6;! %. $oble!R. D. Tsien. larendon ress! O

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roblem HindmarshRose (HR) (1980-8J)

*eneraliBe +H$ 7o allo@ 7riggered :ring.

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roblem HindmarshRose (HR) (1980-8J)

+ails 7o model as7 :ring ra7e in suid a

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Solu7ion A uan7i7a7ie model based on HH 7ha7

in6ludes IA

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Solu7ion Original HH model

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Solu7ion

#Aariables added

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Solu7ion

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Solu7ion Added

Sub7hreshold in@ard 6urren7

Ou7@ard 6urren7

Ada?7a7ion ariable

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