ABSTRACT
A mathematical model (sigma(omega) approximately equal to A omega alpha, where, sigma is identical with conductivity, omega = 2 pi f is identical with applied frequency (Hz), A (amplitude) and alpha (unit less) is identical with search parameters) was used to fit the frequency dependence of electrical conductivities of compact, spongiosum, and bulk layers of the live and, subsequently, dead human skull samples. The results indicate that the fit of this model to the experimental data is excellent. The ranges of values of A and alpha were, spongiform (12.0-36.5, 0.0083-0.0549), the top compact (5.02-7.76, -0.137-0.0144), the lower compact (2.31-10.6, 0.0267-0.0452), and the bulk (7.46-10.6, 0.0133-0.0239). The respective values A and alpha for the respective layers of the dead skull samples were (40.1-89.7, -0.0017-0.0287), (5.53-14.5, -0.0296 - -0.0061), (4.58-15.9, -0.0226-0.0268), and (12.7-25.3, -0.0158-0.0132).
Subject(s)
Electric Conductivity , Models, Biological , Skull/physiology , Algorithms , Analysis of Variance , Computer Simulation , Electric Impedance , Electrodes , Electroencephalography/methods , Gelatin Sponge, Absorbable , Humans , In Vitro Techniques , Magnetoencephalography/methodsABSTRACT
Electrical conductivities of compact, spongiosum, and bulk layers of the live human skull were determined at varying frequencies and electric fields at room temperature using the four-electrode method. Current, at higher densities that occur in human cranium, was applied and withdrawn over the top and bottom surfaces of each sample and potential drop across different layers was measured. We used a model that considers variations in skull thicknesses to determine the conductivity of the tri-layer skull and its individual anatomical structures. The results indicate that the conductivities of the spongiform (16.2-41.1 milliS/m), the top compact (5.4-7.2 milliS/m) and lower compact (2.8-10.2 milliS/m) layers of the skull have significantly different and inhomogeneous conductivities. The conductivities of the skull layers are frequency dependent in the 10-90 Hz region and are non-ohmic in the 0.45-2.07 A/m2 region. These current densities are much higher than those occurring in human brain.
Subject(s)
Electric Conductivity , Skull , Adolescent , Aged , Female , Humans , Male , Middle Aged , Models, Theoretical , Skull/physiology , X-RaysABSTRACT
In this study, electrical conductivities of compact, spongiosum, and bulk layers of cadaver skull were determined at varying electric fields at room temperature. Current was applied and withdrawn over the top and bottom surfaces of each sample and potential drop across different layers was measured using the four-electrode method. We developed a model, which considers of variations in skull thicknesses, to determine the conductivity of the tri-layer skull and its individual anatomical structures. The results indicate that the spongiform and the two compact layers of the skull have significantly different and inhomogeneous conductivities ranging from 0.76 +/- .14 to 11.5 +/- 1.8 milliS/m.
Subject(s)
Electric Conductivity , Skull/physiology , Electric Stimulation/methods , Electroencephalography , Humans , MagnetoencephalographyABSTRACT
A detailed three-dimensional finite element model for radial keratotomy has been developed. The model includes the full load-bearing tunic of the eye and employs realistic geometry. Incisions are modeled explicitly, and material parameters are obtained from in vivo data. Calculated results obtained with the model are compared with data from two independent medical studies on radial keratotomy.
