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Lecture 4 revised 1/10 How do neurons transmit information over long distances? In cellular terms, the distances are very large. Transmitting the information you need to sense, process, and act on the outside world through a mechanism such as passive diffusion of a second messenger would slow life to a crawl. Neurons have evolved mechanisms for using pulses of electrical current, known as action potentials, to transmit information rapidly over long distances. For example, motor neurons in your lumbar spinal cord transmits action potentials over a distance of about a meter to control your toe muscles, and you can very quickly cause these muscles to contract or relax. Today we’ll… 1. observe typical responses of a neuron to electrical stimulation 2. note the general properties of an action potential 3. learn how ionic gradients and selective permeability together determine the resting potential of a neuron 4. note how changing permeability of a membrane to an ion (sodium) can generate the major excitatory current of the action potential Fig. 2.1- different types of electrical responses when record from a few locations in NSresting potential, receptor potential, synaptic potential, action potential Fig. 2.2- experiment- put an electrode in neuron, measure voltage relative to reference electrode (latter extracellular) Note neuron is at a negative potential relative to reference. Now, stimulate neuron with current pulses, either hyperpolarizing (i.e. increasing the difference between the resting potential and reference) or depolarizing. What happens? With hyperpolarizing pulses, or small depolarizing pulses get a response similar to what a resistor and capacitor wired in parallel give (remember RC circuits from physics class?) If the current pulse causes voltage across neuronal membr to exceed threshold, you get an action potential- membrane potential rapidly crosses zero to a positive voltage and then declines back below resting potential. Normally, depolarization would occur via a receptor potential or summation of synaptic potentials. What is it that’s so important about the action potential? See fig. 3.10, passive current flow. Now compare to fig. 3.11, and the overhead/handout- recording action potential at a distance. This is the key, the action potential regenerates, the signal doesn’t dissipate with distance. So how is an action potential generated? First we’ll figure out how resting potential is generated. A combination of pumps- with specificity for particular ions, and channels- with selective permeability generates ion concentration differences across membranes Start w/ simple system, membrane permeable just to K+. Go thru fig. 2.4, concept of electrochemical equilibrium. If start w/ different conc.s of K+ on both sides of membrane permeable only to the K+ (not the Cl-), the K+ ions flow such that the electrical and chemical forces balance, so there is no net current. The resulting state is called electrochemical equilibrium. The electrical potential generated across the membrane at electrochemical equilibrium can be predicted for this sort of 1-ion system using the Nernst equation. The Nernst equation incorporates the concentration of the ion on both sides of the membrane, and its charge. Other factors, such as temperature and the gas constant, can be incorporated into a constant for typical experimental situations. Note that for an ion with a valence of 1, a 10-fold difference in concentration corresponds to 58 mV of electrical potential. The sign of the potential depends on the direction of the concentration gradient and the valence of the ion. Well, so one ion can give us a resting potential. But how does one get an action potential through ionic gradients? The key is first there are multiple different ion gradients And second the permeability of the membrane changes during an action potential Note that if the membrane is impermeable to an ion, that ion does not contribute to the membrane potential. Fig. 2.6, a simple view of how K+ and Na+ combine to give the action potential voltage changes. How can one predict the membrane voltage with multiple different ionic gradients and permeabilities? The Goldman equation. Note that if P=0, that ion doesnt contribute. Note that with one ion, collapses into the Nernst equation. How was it proven that such ionic gradients are responsible for resting potential? Fig. 2.7, K+ and resting potential; used squid giant axon, favorite prep for a while because its big (almost a mm in diameter, easier to use the early electrodes) and cheap. How was it shown that Na+ was responsible for the rising phase? Fig. 2.8 Nomenclature of action potential-Box B figure rising phase- rising from resting potential overshoot phase- shoots above 0 mV falling phase- falls back toward rest undershoot phase- membrane hyperpolarizes below resting potential So now we have a general idea of where resting potential and action potentials come from, next time well explore how action potentials are generated and propagate down an axon in more detail. In a multi- ion system, how can you predict membrane voltage? Recall the Goldman equation; note that it collapses to the Nernst eqn when P (permeability)=0, we discussed how if an ion is impermeant, it can't contribute to membrane voltage. Thus, the voltage across the membrane at any given time is determined by the differences in ion concentration across the membrane, and the relative permeability of the membrane for the different ions. So, have we explained the action potential? Yes, and No. We've explained how changing the permeability to the ions Na+ and K+ can result in the voltage changes. But how/why does the permeability of the membrane change as a function of time during an action potential? The answer is that the permeability of the neuronal membrane is voltage dependent. How can permeability be measured as a function of voltage and time to study this? The answer is a tool called the voltage clamp. Box 3A, Ch. 3. The idea is to use feedback circuitry to hold the membrane voltage to a particular value, and see how much current it takes to do this as a function of time. So, what happens when voltage clamp a squid axon? Fig. 3.1; here again, hyperpolarization didn't result in any spectacular current flow (just a capacitative current due to passive membrane properties- charging of membrane to new voltage), whereas depolarization gives a transient inward current then a delayed outward current (in/out are w/ respect to inside/outside of cell). Thus, depolarization caused a voltage-dependent change in membrane conductance! How many and which ions change permeability w/ depolarization? Change voltage that clamp to, see how much current flows, fig. 3.2. This gives a clue as to which ions likely to be responsible for the currents. See how current amplitude changes with voltage. Recall Nernst equation. If ion conc's stay the same during a voltage clamp expt (they will for a while), the amount of current a given ion carries approaches zero as voltage you clamp membrane to approaches Equilibrium potential for that ion Current for an ion becomes zero (no net current) at equilibrium potential. If look at current flow for voltage clamps on either side of equilibrium potential, its direction is opposite. Thus, in voltage clamp expts, refer to a reversal potential, the voltage at which the direction of a current reverses. This gives a big clue as to which ion carries that current if you know the equilibrium potentials for the different ions.