Mathematical models of oscillatory blood cell production

A class of mathematical models of the regulation of blood cell production is proposed. Such models incorporate a time delay imposed by the time for cellular development and are prone to develop oscillations. A particular model is proposed to represent oscillatory granulopoiesis (granulocyte producti...

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Bibliographic Details
Published inMathematical biosciences Vol. 24; no. 3; pp. 289 - 305
Main Author Wheldon, T.E.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 1975
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Summary:A class of mathematical models of the regulation of blood cell production is proposed. Such models incorporate a time delay imposed by the time for cellular development and are prone to develop oscillations. A particular model is proposed to represent oscillatory granulopoiesis (granulocyte production) in one form of leukemia. Studies of the model suggest that the oscillatory pattern in leukemia may be generated in two principal ways, either by an increased cell production rate or by an increased maturation time. Experimental and mathematical techniques are now available which should permit discrimination between these alternative mechanisms.
ISSN:0025-5564
1879-3134
DOI:10.1016/0025-5564(75)90082-6