Modeling and optimal regulation of erythropoiesis subject to Benzene intoxication
type: Item
instance of: scholarly article
title: Modeling and optimal regulation of erythropoiesis subject to Benzene intoxication
zbMATH Open document ID: 1075.34084
author: Cammey E. Cole
author: Paul M. Schlosser
author: Hien Tran
author: H. Thomas Banks
published in: Mathematical Biosciences and Engineering
publication date: 2005-05-09T00:00:00Z
review text: An age structured model for erythropoiesis (blood cell production and development) is given. Using the method of characteristics, the model is replaced by a delay differential equation for the total number of mature cells. Existence and uniqueness are proved for this new system. Finite element method is used to investigate it. Finally, optimal control is used to find the total number of mature cells and the number of proliferating precurser cells.
reviewed by: E. Ahmed
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 92C37
Mathematics Subject Classification ID: 34K28
zbMATH DE Number: 2166641
zbMATH Keywords: hematopoiesis
zbMATH Keywords: age structured mosel
zbMATH Keywords: existence and uniqueness
zbMATH Keywords: optimal control
zbMATH Keywords: delay
zbMATH Keywords: finite element
MaRDI profile type: Publication
full work available at URL: mbe.2004.1.15
OpenAlex ID: W2054878781
Wikidata QID: Q43108616
DOI: 10.3934/MBE.2004.1.15
description: scientific article; zbMATH DE number 2166641