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Lecture_7_-_basic_concepts (lacks refraction)

Course: BIOLOGY 80215, Spring 2011
School: Hebrew University of...
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to Introduction Neurobiology Lecture 7: Basic concepts in cellular Neurophysiology The electrical model of a neuron Current clamp & voltage clamp Voltage and current curves Input resistance and membrane rectifications Time constant and space constant The action potential Synaptic potential The H&H model 1 2 The electrical model of a neuron C Vm C gm I dVm dt= gm(Vm -Vrest) dVm dt = 0...

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to Introduction Neurobiology Lecture 7: Basic concepts in cellular Neurophysiology The electrical model of a neuron Current clamp & voltage clamp Voltage and current curves Input resistance and membrane rectifications Time constant and space constant The action potential Synaptic potential The H&H model 1 2 The electrical model of a neuron C Vm C gm I dVm dt= gm(Vm -Vrest) dVm dt = 0 Vrest dVm dt + gm(Vm -Vrest) dVm (Vm -Vrest) I = C dt + Rm I=C I*Rm = dVm (Vm+-Vrest) dt Vm = Vrest gm = 1/Rm m = RmC 3 Input resistance and time constant I*Rm = Vm= I*Rm(1- e t/ )Vrest + Vm= V0 (e t/ )Vrest + V0= I*Rm dVm (Vm+-Vrest) dt dVm dt = 0 + Vm= I*Rm Vrest 4 Input resistance 40mV 400pA + Vm= I*Rm Vrest Vm(mV) 600 Input resistance = Rm=150M I(pA) 300 40 Vre - st 80 -120 : 5 The potential dV C = resting gNa(Vm -VNa)+gCa(Vm-VCa)+gK(Vmdt VK)+ gCl(Vm-VCl) 0 = gNa(Vm -VNa)+gCa(Vm-VCa)+gK(Vm-VK)+ gCl(Vm-VCl) C gNa gCa gK gCl VNa Vm VCa VK VCl gNaVm+gCaVm+gKVm+gClVm= gNaVNa +gCaVCa+gKVK+ gClVCl Vm= gNaVNa +gCaVCa+gKVK+ gClVCl gNa+gCa+gK+gCl 6 Input resistance and time constant Vm= gNaVNa +gCaVCa+gKVK+ gClVCl gNa+gCa+gK+gCl = g gNa+gCa+gK+gCl gNa Vm= VNa+ VCa VNa gCa VCa+ gK gCa gNa 0 gCl VCl VK gK gCl VK+ VCl Vm C gm Vre st I ons d ep end ent channels Li g and d ep en d ent c hannel s Voltage dependent channels i nd ep end ent c hannel s The types of ionic channels 7 8 The Hodgkin Huxley model of an action potential dVm C = gNa(Vm VNa) + gK(Vm-VK)+ gm(Vmdt Vrest) gNa = gNa m3h dx dt gK= gK n4 Vm C gm gNa gK Vre st VNa VK = xinf(Vm)-x
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