Tina G Smith

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This paper discusses the concepts of fractal geometry in a cellular biological context. It defines the concept of the fractal dimension. D, as a measure of complexity and illustrates the two different general ways of quantitatively measuring D by length-related and mass-related methods. Then, these several Ds are compared and contrasted. A goal of the paper(More)
THE PURPOSE OF THIS PAPER is to bring together recent experimental and theoretical results which, when considered together, add to our understanding of the monosynaptic excitatory postsynaptic potential (EPSP) in moto-neurons. A general mathematical neuron model has been proposed which provides a means of computing EPSP properties that result when synapses(More)
Camera-lucida drawings of Golgi-impregnated astroglial cells and their processes are described by the fractal dimension of their borders, which is an objective, quantitative measure of morphological complexity. Protoplasmic astrocytes from human neocortex have fractal dimensions (D) that are larger than those of fibrous astrocytes from the cat optic nerve.(More)
Pyramidal neurons in the mammalian cerebral cortex can be described by a fractal dimension (Mandelbrot, 1982), which is an objective, quantitative measure of the complexity of their soma/dendritic borders. In the cat, the fractal dimensions of lamina V cells, which include pyramidal tract neurons (PTN), indicate that these cells are more complex than other(More)
Methods of digital image analysis have been adapted to measure the fractal dimension of cellular profiles. The fractal dimension is suggested as a useful measure of the complexity of a contour. Three methods produce similar results when applied to constructed, near-ideal fractal figures. Comparison of the measurements for a variety of image types indicates(More)
Details of the morphology of light microscope images of horseradish peroxidase labeled mammalian neurons in cell culture were investigated. A modified Marr-Hildreth edge-detecting algorithm was used in an image processor to obtain a continuous border of the labeled neurons. The interior of the border was filled to obtain isolated binary silhouettes of the(More)
Neurons in dissociated cell culture provide a favorable system for the quantitative analysis of structural changes and the examination of structure-function relationships during development. Fragment C of tetanus toxin was used to label neurons in murine spinal cord cell cultures and dendrite outgrowth was monitored by a number of measures. The dissociated(More)