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A semilinear transport equation with delays

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  • Janet Dyson
  • Rosanna Villella-Bressan
  • Glenn F. Webb

Abstract

An analysis is provided for a model of the blood production system based on a cell population structured by a continuous variable corresponding to the maturity of individual cells. Cell maturity is viewed as an indicator of increasing morphological development, ranging from the most primitive stem cells to the most mature differentiated cells. The analysis distinguishes two fundamental behaviors based on the nature of the initial state of the system: the first is a normal production of cells, when the initial state contains a sufficient supply of the least mature cells; the second is an abnormal production, when the initial state is deficient in the population of the least mature cells.

Suggested Citation

  • Janet Dyson & Rosanna Villella-Bressan & Glenn F. Webb, 2003. "A semilinear transport equation with delays," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-16, January.
    • Handle: RePEc:hin:jijmms:651376
    DOI: 10.1155/S0161171203211431
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