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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 feedback loop. Although qualitative behavioral similarities emerge for different orders of the delay, we find that significant quantitative differences ocuur. Without more knowledge of the form of the delay, this places restrictions on how reasonable it is to expect close quantitative agreement between the mathematical 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: 23 Sep 2013 18:57
URI: http://epubs.surrey.ac.uk/id/eprint/72372

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