The Effect of Different Forms for the Delay in A Model of the Nephron
We investigate how the dynamics of a mathematical modelof a nephron depend on the precise form of the delayin the tubuloglomerular feedback loop.Although qualitative behavioral similarities emerge fordifferent orders of delay, wefind that significant quantitative differences occur.Without more knowl...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2004-10-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.97 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590268558213120 |
|---|---|
| author | Anne C. Skeldon Ian Purvey |
| author_facet | Anne C. Skeldon Ian Purvey |
| author_sort | Anne C. Skeldon |
| collection | DOAJ |
| description | We investigate how the dynamics of a mathematical modelof a nephron depend on the precise form of the delayin the tubuloglomerular feedback loop.Although qualitative behavioral similarities emerge fordifferent orders of delay, wefind that significant quantitative differences occur.Without more knowledge of theform of the delay, this places restrictions on howreasonable it is to expect closequantitative agreement between the mathematicalmodel and experimental data. |
| format | Article |
| id | doaj-art-8a9eb0abe65945be9d71802957c9253c |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2004-10-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-8a9eb0abe65945be9d71802957c9253c2025-01-24T01:47:55ZengAIMS PressMathematical Biosciences and Engineering1551-00182004-10-01219710910.3934/mbe.2005.2.97The Effect of Different Forms for the Delay in A Model of the NephronAnne C. Skeldon0Ian Purvey1Department of Mathematics and Statistics, Surrey University, Guildford, Surrey, UK GU2 7SWDepartment of Mathematics and Statistics, Surrey University, Guildford, Surrey, UK GU2 7SWWe investigate how the dynamics of a mathematical modelof a nephron depend on the precise form of the delayin the tubuloglomerular feedback loop.Although qualitative behavioral similarities emerge fordifferent orders of delay, wefind that significant quantitative differences occur.Without more knowledge of theform of the delay, this places restrictions on howreasonable it is to expect closequantitative agreement between the mathematicalmodel and experimental data.https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.97mathematical modelnephrondelaynonlinear dynamics. |
| spellingShingle | Anne C. Skeldon Ian Purvey The Effect of Different Forms for the Delay in A Model of the Nephron Mathematical Biosciences and Engineering mathematical model nephron delay nonlinear dynamics. |
| title | The Effect of Different Forms for the Delay in A Model of the Nephron |
| title_full | The Effect of Different Forms for the Delay in A Model of the Nephron |
| title_fullStr | The Effect of Different Forms for the Delay in A Model of the Nephron |
| title_full_unstemmed | The Effect of Different Forms for the Delay in A Model of the Nephron |
| title_short | The Effect of Different Forms for the Delay in A Model of the Nephron |
| title_sort | effect of different forms for the delay in a model of the nephron |
| topic | mathematical model nephron delay nonlinear dynamics. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.97 |
| work_keys_str_mv | AT annecskeldon theeffectofdifferentformsforthedelayinamodelofthenephron AT ianpurvey theeffectofdifferentformsforthedelayinamodelofthenephron AT annecskeldon effectofdifferentformsforthedelayinamodelofthenephron AT ianpurvey effectofdifferentformsforthedelayinamodelofthenephron |