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The paper presents the statistical description of the interaction between ephaptically coupled axons. Using a mutual coupling factor and the Hodgkin-Huxley model, the extended membrane potential model has been obtained. Furthermore, the conduction of these potentials along the coupled axons is demonstrated combining the cable equation. Simulation results show that the coupled axons would achieve action...
Experimental evidence for transverse stimulation of nerve cells is presented. Stimulation is initiated by a polarization current of short duration. In one example, the initial voltage is 8.5 Volt and the current lasts for only few microseconds. The stimulation process becomes irreversible after 10–50 microseconds, depending on the initial voltage. The standard cable model cannot describe the process...
We ported and optimized simulation environment "NEURON" on K computer to simulate a insect brain as multi-compartment Hodgkin-Huxley type model. To use SIMD units of SPARC64VIIIfx (CPU of K computer), we exchanged the order of the compartment loop and the ion channel loop and apply sector caches. These tuning improved single core performance 340 MFLOPS/core to 1560 MFLOPS/core (about 10%...
A program which calculates the cardiac cycle in a hearts wall from the cable equation by Morris-Lecar [2] is presented. The entrances in the equation are ionic concentrations [4] of calcium-potassium of a patient with cardiac problems. The hypothesis is to determine if the patient could suffer from arrhythmia. The simulation of the program [3] is based on the initial myoelectrical voltage in repose,...
Herein, the well-known cable equation for non-myelinated axon model is extended analytically for myelinated axon formulation. The classical cable equation is thereby modified into a linear second order ordinary differential equation with periodic coefficient, known as Hill's equation. Hill's equation exhibits periodic solutions, known as Floquet's modes. The Floquet's modes are recognized as the nerve...
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