A mathematical model for erythroid regulation

A mathematical model connecting the dynamics of the essential components in this process; the erythrocytes (RBC), the hormone erythropoietin (EPO) and the oxygen is proposed. A time delay is included to simulate the dynamics of the maturation steps. A bifurcation analysis is performed to determine t...

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Main Authors: Kanchana Kumnungkit, I. Ming Tang
Other Authors: King Mongkut's Institute of Technology Ladkrabang
Format: Article
Published: 2018
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Online Access:https://repository.li.mahidol.ac.th/handle/123456789/23397
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spelling th-mahidol.233972018-08-20T14:04:48Z A mathematical model for erythroid regulation Kanchana Kumnungkit I. Ming Tang King Mongkut's Institute of Technology Ladkrabang Mahidol University Mathematics A mathematical model connecting the dynamics of the essential components in this process; the erythrocytes (RBC), the hormone erythropoietin (EPO) and the oxygen is proposed. A time delay is included to simulate the dynamics of the maturation steps. A bifurcation analysis is performed to determine the ranges of parameter values. The effects of the time delay are seen in the simulated production of the erythrocytes as the delay time is increased past the critical value. 2018-08-20T07:04:48Z 2018-08-20T07:04:48Z 2006-06-01 Article WSEAS Transactions on Mathematics. Vol.5, No.6 (2006), 701-705 11092769 2-s2.0-33745509175 https://repository.li.mahidol.ac.th/handle/123456789/23397 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=33745509175&origin=inward
institution Mahidol University
building Mahidol University Library
continent Asia
country Thailand
Thailand
content_provider Mahidol University Library
collection Mahidol University Institutional Repository
topic Mathematics
spellingShingle Mathematics
Kanchana Kumnungkit
I. Ming Tang
A mathematical model for erythroid regulation
description A mathematical model connecting the dynamics of the essential components in this process; the erythrocytes (RBC), the hormone erythropoietin (EPO) and the oxygen is proposed. A time delay is included to simulate the dynamics of the maturation steps. A bifurcation analysis is performed to determine the ranges of parameter values. The effects of the time delay are seen in the simulated production of the erythrocytes as the delay time is increased past the critical value.
author2 King Mongkut's Institute of Technology Ladkrabang
author_facet King Mongkut's Institute of Technology Ladkrabang
Kanchana Kumnungkit
I. Ming Tang
format Article
author Kanchana Kumnungkit
I. Ming Tang
author_sort Kanchana Kumnungkit
title A mathematical model for erythroid regulation
title_short A mathematical model for erythroid regulation
title_full A mathematical model for erythroid regulation
title_fullStr A mathematical model for erythroid regulation
title_full_unstemmed A mathematical model for erythroid regulation
title_sort mathematical model for erythroid regulation
publishDate 2018
url https://repository.li.mahidol.ac.th/handle/123456789/23397
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