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The effect of different forms for the delay in a model of the nephron

Skeldon, AC and Purvey, I (2005) The effect of different forms for the delay in a model of the nephron Mathematical Biosciences and Engineering, 2 (1). 97 - 109. ISSN 1547-1063

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Abstract

We investigate how the dynamics of a mathematical model of a nephron depend on the precise form of the delay in the tubuloglomerular feed- back loop. Although qualitative behavioral similarities emerge for di®erent orders of delay, we ¯nd that signi¯cant quantitative di®erences occur. With- out more knowledge of the form of the delay, this places restrictions on how reasonable it is to expect close quantitative agreement between the mathemat- ical model and experimental data.

Item Type: Article
Additional Information: Copyright 2008 The American Institute of Mathematical Sciences
Uncontrolled Keywords: delay, mathematical model, nephron, nonlinear dynamics, PROXIMAL INTRATUBULAR PRESSURE, OSCILLATIONS, FLOW
Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Mr Adam Field
Date Deposited: 01 Feb 2012 14:57
Last Modified: 09 Jun 2014 13:27
URI: http://epubs.surrey.ac.uk/id/eprint/72372

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