Mathematical Biosciences and Engineering, 2005, 2(1): 97-109. doi: 10.3934/mbe.2005.2.97

92C99,37N25,34K60.

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The Effect of Different Forms for the Delay in A Model of the Nephron

Anne C. Skeldon, Ian Purvey

1. Department of Mathematics and Statistics, Surrey University, Guildford, Surrey, UK GU2 7SW

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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 delay, we find that significant quantitative differences occur. 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.
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