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The effect of different forms for the delay in a model of the nephron
Journal article   Open access   Peer reviewed

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

AC Skeldon and I Purvey
Mathematical Biosciences and Engineering, Vol.2(1), pp.97-109
01/2005

Abstract

delay mathematical model nephron nonlinear dynamics PROXIMAL INTRATUBULAR PRESSURE OSCILLATIONS FLOW
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.
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http://dx.doi.org/10.3934/mbe.2005.2.97View
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