Export file:


  • RIS(for EndNote,Reference Manager,ProCite)
  • BibTex
  • Text


  • Citation Only
  • Citation and Abstract

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

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

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.
  Article Metrics

Keywords mathematical model; nephron; delay; nonlinear dynamics.

Citation: Anne C. Skeldon, Ian Purvey. The Effect of Different Forms for the Delay in A Model of the Nephron. Mathematical Biosciences and Engineering, 2005, 2(1): 97-109. doi: 10.3934/mbe.2005.2.97


This article has been cited by

  • 1. Susanne Ditlevsen, Eva Löcherbach, Multi-class oscillating systems of interacting neurons, Stochastic Processes and their Applications, 2017, 127, 6, 1840, 10.1016/j.spa.2016.09.013
  • 2. Anita T. Layton, Leon C. Moore, Harold E. Layton, Multistable Dynamics Mediated by Tubuloglomerular Feedback in a Model of Coupled Nephrons, Bulletin of Mathematical Biology, 2009, 71, 3, 515, 10.1007/s11538-008-9370-x
  • 3. Jerry J. Batzel, Franz Kappel, Time delay in physiological systems: Analyzing and modeling its impact, Mathematical Biosciences, 2011, 234, 2, 61, 10.1016/j.mbs.2011.08.006
  • 4. Aline Duarte, Eva Löcherbach, Guilherme Ost, Stability, convergence to equilibrium and simulation of non-linear Hawkes processes with memory kernels given by the sum of Erlang kernels, ESAIM: Probability and Statistics, 2019, 23, 770, 10.1051/ps/2019005

Reader Comments

your name: *   your email: *  

Copyright Info: 2005, Anne C. Skeldon, et al., licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution Licese (http://creativecommons.org/licenses/by/4.0)

Download full text in PDF

Export Citation

Copyright © AIMS Press All Rights Reserved