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K P Esselle

Publications and source records attributed to K P Esselle.

4 recordsLinked to original sources

Cylindrical tissue model for magnetic field stimulation of neurons: effects of coil geometry.

An analytical solution for the electric field induced in a homogeneous cylindrical conductor under quasi-static conditions from current in a coil is used to model peripheral nerve stimulation with magnetic fields. A variety of coil geometries is analyzed in terms of the spatial derivative of the induced electric field along a long straight nerve, parallel to the axis, in a human-arm model. The results of these computations are found to be in general agreement with conclusions regarding the optimization of stimulating coils derived from analyses of the semi-infinite tissue model. The differences and their physical basis are pointed out.

Arm↗

Quasi-static electric field in a cylindrical volume conductor induced by external coils.

An expansion technique based on modified Bessel functions is used to obtain an analytical solution for the electric field induced in a homogeneous cylindrical volume conductor by an external coil. The current in the coil is assumed to be changing slowly so that quasi-static conditions can be justified. Valid for any coil type, this solution is ideal for fast computation of the induced electric field at a large number of points. Efficient implementation of this method in a computer code is described and numerical results are presented for a perpendicular circular coil and a tangential double-square coil.

Electric Conductivity↗

Factors affecting neural stimulation with magnetic fields.

High amplitude magnetic field pulses produced by coils external to the body have been used for medical diagnosis since the mid-1980s to stimulate motor neurons in the brain cortex and peripheral nerves. While successful applications have since blossomed, it has only been during the last three years that quantitative dosimetric data have become available. The factors affecting neural stimulation can be divided into three categories broadly related to the characteristics of (i) the stimulus, (ii) the neuron, and (iii) the induced electric field as related to the configuration of the stimulating coil. The stimulus, in the case of magnetic field stimulation, has the form of an exponentially decaying pulse with a small overshoot of the opposite polarity. Physical and electrical properties of a neuron affect its electrical stimulation. Dosimetric considerations are limited to the linear model describing the threshold phenomena, where passive electrical properties and the cable model provide a reasonable approximation of neuron behavior. The electromagnetic variable responsible for stimulation is the spatial derivative of the induced electric field along the neuron axis. This paper examines the factors involved in eliciting threshold excitation of motor neurons by magnetic fields. The description of various factors is largely based on published data except for the analysis of the electromagnetic stimuli induced by various coils.

Animals↗

Neural stimulation with magnetic fields: analysis of induced electric fields.

Spatial distributions of the derivative of the electric field induced in a planar semi-infinite tissue model by various current-carrying coils and their utility in neural stimulation are evaluated. Analytical expressions are obtained for the electric field and its spatial derivatives produced by an infinitely short current element. Fields and their derivatives for an arbitrarily shaped coil are then obtained by numerical summation of contributions from all the elements forming the coil. The simplicity of the solution and a very short computation time make this method particularly attractive for gaining a physical insight into the spatial behavior of the stimulating parameter and for the optimization of coils. Such analysis is useful as the first step before undertaking a more complex numerical analysis of a model more closely representing the tissue geometry and heterogeneity.

Computer Simulation↗