A theoretical study of spatial and temporal cytosolic calcium oscillations.
Item
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Title
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A theoretical study of spatial and temporal cytosolic calcium oscillations.
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Identifier
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AAI9315472
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identifier
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9315472
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Creator
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Jafri, M. Saleet.
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Contributor
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Adviser: Craig J. Benham
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Date
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1993
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Language
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English
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Publisher
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City University of New York.
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Subject
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Biology, Cell | Mathematics | Biophysics, General
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Abstract
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Cytosolic calcium oscillations occur in a wide variety of cells controlling cellular functions such as contraction, secretion and gene expression. In this dissertation mathematical models are used to study cytosolic calcium oscillations. A membrane model based on the electrophysiological properties of the endoplasmic reticulum membrane (ER) is proposed. The initial model includes equations for the cytosolic calcium concentration, the ER membrane potential, and the concentration of calcium binding proteins. It features a calcium induced calcium release channel in the ER, calcium pumps in the ER and plasma membrane, constant calcium entry in to the cytosol. The membrane model predicts that the frequency and amplitude can be modulated by controlling the rate of calcium entry into the cytosol or by varying the amount of active calcium binding sites. The model is then modified to include counterions, and a separate inositol 1,4,5-trisphosphate (IP{dollar}\sb3{dollar}) sensitive store which has its own pumps and calcium release channel sensitive to IP{dollar}\sb3.{dollar} The modified model shows that the period of latency depends on the rate of calcium entry into the cytosol. It also shows that the pump rate out of the cytosol can modify the frequency and amplitude of oscillations. It predicts that the presence of counterions augments the oscillations in that the amplitude and width are increased. A diffusion term is added to the initial model to study the propagation of waves of elevated cytosolic calcium concentration in cells. The amplitude and speed of a calcium wave can be modulated by the rate of calcium influx, pump rates, and effective diffusion constant.
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Type
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dissertation
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Source
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PQT Legacy CUNY.xlsx
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degree
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Ph.D.
