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Titlebook: Women in Mathematical Biology; Research Collaborati Anita T. Layton,Laura A. Miller Conference proceedings 2017 Springer International Publ

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Introduction to Mathematical Modeling of Blood Flow Control in the Kidney,ulatory processes. In particular, we consider mathematical models that simulate renal blood flow regulation by means of key autoregulatory mechanisms: the myogenic response and tubuloglomerular feedback. We discuss the extent to which these modeling efforts have expanded the understanding of renal functions in health and diseases.
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Modeling Blood Flow and Oxygenation in a Diabetic Rat Kidney,ely unchanged active Na. transport. The model predicts that interstitial fluid oxygen tension of the inner stripe, which is a particularly oxygen-poor region of the medulla, decreases by 18.6% in a diabetic kidney.
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Modeling Autoregulation of the Afferent Arteriole of the Rat Kidney,rent arteriole responds with an increase in muscle tone and a decrease in diameter. To investigate the myogenic response of an afferent arteriole segment of the rat kidney, we extend a mathematical model of an afferent arteriole cell. For each cell, we include detailed Ca. signaling, transmembrane t
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Modeling Blood Flow and Oxygenation in a Diabetic Rat Kidney,at. Model simulations suggest that alterations in renal hemodynamics, which include diminished vasoconstrictive response of the afferent arteriole as a major factor, lead to glomerular hyperfiltration in diabetes. The resulting higher filtered Na. load increases the reabsorptive work of the nephron,
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Tracking the Distribution of a Solute Bolus in the Rat Kidney,al solute distribution, and its cycling by way of countercurrent exchange and preferential tubular interactions, may yield new insights into fundamental principles of concentrating mechanism function. This is a complex problem, however, in part because of the marked heterogeneity exhibited in the tr
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