![]() ![]() G Na and g K are both functions of time and membrane potential. These equationsĬan easily be derived using Ohm’s law (V=IR) Conductance is the inverse of resistance. Permeability coefficient, which is represented by a conductance in theĬircuit diagram. Each current (I Na,īy a driving force which is represented by a voltage difference and a Ions and a small leakage current that is associated with the movement Each of the resistancesĬorresponds to charge being carried by different components. Resistances in parallel with the capacitor. They used squid giant axons because squids had axons large enough to manipulate and use their specially built glass electrodes on.(Click here for more information on materials and methods) From their experimentation with a squid axon, they were able to create a circuit model that seemed to match how the squid axon carried an action potential.Ĭurrent flowing through the membrane can be carried via the chargingĪnd discharging of a capacitor or via ions flowing through variable To create their mathematical model, Hodgkin and Huxley looked at squid giant axons. Their model, which was developed well before the advent of electron microscopes or computer simulations, was able to give scientists a basic understanding of how nerve cells work without having a detailed understanding of how the membrane of a nerve cell looked. Huxley developed a mathematical model to explain the behavior of nerve cells in a squid giant axon in 1952. The final paper put together all of the information from the previous papers and turned them into a mathematical models.Ī.L Hodgkin and A.F. The fourth paper outlined how the inactivation process reduces sodium permeability. The third paper examined the effect of sudden potential changes on the action potential (including the effect of sudden potential changes on the ionic conductance). The second paper examined the effects of changes in sodium concentration on the action potential as well as the resolution of the ionic current into sodium and potassium currents. The first paper examined the function of the neuron membrane under normal conditions and outlined the basic experimental method pervasive in each of their subsequent studies. In 1952, Hodgkin and Huxley wrote a series of five papers that described the experiments they conducted that were aimed at determining the laws that govern the movement of ions in a nerve cell during an action potential.
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