Numerical analysis of the voltage-clamp technique applied to frog neuromuscular junctions. 1982

M E Torres, and C Sevcik, and V Parthe

The nonlinear cable equation was solved numerically by means of an implicit procedure. The correlation between end-plate length and fiber diameter was determined in frog (Rana pipiens) sartorius muscles stained with gold chloride (Löwit, 1875). The diameter of the fibers stained by the Löwit method was 80 (74-85) micron (median and its 95% confidence interval for 52 fibers), the length of the end plates in the same fibers was 382 (353-417) micron. The fibers simulated were 80 micron in diameter. To solve the equation the muscle fibers were represented by 500 segments 20 micron long, and the equation was solved in steps of 10 microseconds; a double exponential function was incorporated to the first seven segments to represent the neuromuscular junction. The potential of the first segment of the cable was set to the clamping level and the membrane potential of the remaining segments calculated. The current needed to hold the first segment was estimated by adding the current flowing through the first segment to the current flowing from it to the second segment. Our results indicate that the lack of space clamp in the point voltage-clamp studies of the frog neuromuscular junction introduces serious errors in the estimates of the end-plate conductance value, the kinetics of the conductance changes, and the reversal potential of the end-plate currents. The possibility of an efficient voltage-clamp technique is also explored. Our calculations suggest that the study of end-plate current and conductance is possible with little error if the end-plate potential is controlled at both ends of the synaptic area simultaneously.

UI MeSH Term Description Entries
D008433 Mathematics The deductive study of shape, quantity, and dependence. (From McGraw-Hill Dictionary of Scientific and Technical Terms, 6th ed) Mathematic
D008564 Membrane Potentials The voltage differences across a membrane. For cellular membranes they are computed by subtracting the voltage measured outside the membrane from the voltage measured inside the membrane. They result from differences of inside versus outside concentration of potassium, sodium, chloride, and other ions across cells' or ORGANELLES membranes. For excitable cells, the resting membrane potentials range between -30 and -100 millivolts. Physical, chemical, or electrical stimuli can make a membrane potential more negative (hyperpolarization), or less negative (depolarization). Resting Potentials,Transmembrane Potentials,Delta Psi,Resting Membrane Potential,Transmembrane Electrical Potential Difference,Transmembrane Potential Difference,Difference, Transmembrane Potential,Differences, Transmembrane Potential,Membrane Potential,Membrane Potential, Resting,Membrane Potentials, Resting,Potential Difference, Transmembrane,Potential Differences, Transmembrane,Potential, Membrane,Potential, Resting,Potential, Transmembrane,Potentials, Membrane,Potentials, Resting,Potentials, Transmembrane,Resting Membrane Potentials,Resting Potential,Transmembrane Potential,Transmembrane Potential Differences
D009469 Neuromuscular Junction The synapse between a neuron and a muscle. Myoneural Junction,Nerve-Muscle Preparation,Junction, Myoneural,Junction, Neuromuscular,Junctions, Myoneural,Junctions, Neuromuscular,Myoneural Junctions,Nerve Muscle Preparation,Nerve-Muscle Preparations,Neuromuscular Junctions,Preparation, Nerve-Muscle,Preparations, Nerve-Muscle
D011894 Rana pipiens A highly variable species of the family Ranidae in Canada, the United States and Central America. It is the most widely used Anuran in biomedical research. Frog, Leopard,Leopard Frog,Lithobates pipiens,Frogs, Leopard,Leopard Frogs
D004558 Electric Stimulation Use of electric potential or currents to elicit biological responses. Stimulation, Electric,Electrical Stimulation,Electric Stimulations,Electrical Stimulations,Stimulation, Electrical,Stimulations, Electric,Stimulations, Electrical
D000818 Animals Unicellular or multicellular, heterotrophic organisms, that have sensation and the power of voluntary movement. Under the older five kingdom paradigm, Animalia was one of the kingdoms. Under the modern three domain model, Animalia represents one of the many groups in the domain EUKARYOTA. Animal,Metazoa,Animalia
D013997 Time Factors Elements of limited time intervals, contributing to particular results or situations. Time Series,Factor, Time,Time Factor

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