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2005, Volume 2, Issue 4: 789-810. Doi: 10.3934/mbe.2005.2.789
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A Mathematical Model for Fibroblast Growth Factor Competition Based on Enzyme

  • 1.

    Department of Mathematics, Iowa State University, Carver Hall, Ames, IA 50011

  • 2.

    Iowa State University, Department of Mathematics, 482 Carver Hall Ames, IA 50011

  • 3.

    Department of Biochemistry, Biophysics, and Molecular Biology, Iowa State University, Biology Building Ames, IA 50011

Received:  July 31, 2005
Revised:  September 30, 2005
Published:  September 2005
Abstract Related Papers Cited by
    Abstract
  • In this paper, we develop a mathematical model for the competition of two species of fibroblast growth factor, FGF-1 and FGF-2, for the same cell surface receptor. We provide pathways for this interaction using experimental data obtained by Neufeld and Gospodarowicz reported in 1986 [9]. These pathways demonstrate how the interaction of two fibroblast growth factors affects cell proliferation. Upon development of these pathways, we use simulations in MATLAB and optimization to extrapolate the values of a variety of biochemical parameters imbedded within the model. Furthermore, it should be possible to use the model as the basis for a testable hypothesis. We explore this predictive ability with further simulations in MATLAB.
    Mathematics Subject Classification: 92C45.

    Citation:
    shu

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