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Electrical Properties of Neurons 2.2 Recording passive and active electrical signals in a nerve cell. (Part 1) • Rest potential • Passive membrane properties • Voltage-dependent (active) membranes 2.2 Recording passive and active electrical signals in a nerve cell. (Part 2) Different ions determine the membrane potential “Passive” = all “g’s” are constant. Membrane time constant • Temporal properties Membrane time constant = “tau” membrane Voltage response Current injection 1 Membrane time constant The membrane time constant affects signal integration Tau membrane depends on capacitance and resistance Neurons are not iso-potential τ = RC = C/G • Spatial properties How does it depend on neuron size? d D S = 4πd2 C~S G~S Therefore: if the neurons have similar specific conductance and capacitance, the time-constants will be equal regardless of the diameter. Passive propagation of signals Dendrites as passive electrical cables Real dendritic morphology (hippocampal interneuron) Cable representation for simulations 2 Dendrites as passive electrical cables Dendrites as passive electrical cables λ= d ⋅ Rm 4 ⋅ Ra Rm - membrane resistivity Ra – axial resistivity Dendrites as cables (steady state) λ= Box C Passive Membrane Properties (Part 1) d ⋅ Rm 4 ⋅ Ra Dendrites as cables Spatial and temporal integration in dendrites 3 Temporal and spatial summation in passive membranes Also in axons Passive membranes also in axons 3.10 Passive current flow in an axon. (Part 2) 3.10 Passive current flow in an axon. (Part 1) 4