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Cortical Microcircuit This Pyramidal neurones in neocortex Membrane thickness ~ 10nm, Cm ~ 1µF/cm2 Rm 1000 -100,000 Ωcm2 ; Ri 100 Ωcm If diam =2µm, Rm=104 Ωcm2 Axial resist.= 8x108 Ω/cm Memb resist=1.6x107 Ωcm Space const. ( characteristic length) = 0.14cm Time const = 10ms Spread of transients in dendrites Compartmental models Summation of synaptic potentials is non-linear Neuronal membranes contain many kinds of conductances with voltage and time dependent kinetics Active conductance mix determines excitability and firing pattern Temporal firing patterns differ widely for different neuron types The same neuron can vary firing patterns by activating different conductances Membrane conductances are non-uniformly distributed Transmitter release is stochastic and quantised Synapses with high release probability depress during repetitive activation (p = 0.75). Release probability is determined by both neurone types synapses with low release probability strengthen during repetitive activity (p = 0.13) LTP, LTD Threshold for action potential initiation Isopotential neuron, when inward current = outward current, and nett current discharges the membrane capacitance Non-isopotential neuron, nett current resulting from point current application must discharge local capacitance + provide sufficient additional current to discharge membrane capacitance at points further away. Hence threshold current will be greater than for isopotential stimulation Threshold voltage occurs when sufficient membrane is depolarised above threshold to provide the inward current needed to spread along the cable and activate more inward current. Does this occur when nett current integrated over the entire membrane is zero? Potential at point of excitation vs time Integral of membrane current over entire cable surface