American Institute of Mathematical Sciences

Advanced
2005, 2(4): 789-810. doi: 10.3934/mbe.2005.2.789

A Mathematical Model for Fibroblast Growth Factor Competition Based on Enzyme

Justin P. Peters 1, , Khalid Boushaba 2, and  Marit Nilsen-Hamilton 3,

1. 

Department of Mathematics, Iowa State University, Carver Hall, Ames, IA 50011, United States
2. 

Iowa State University, Department of Mathematics, 482 Carver Hall Ames, IA 50011, United States
3. 

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

Received  August 2005 Revised  October 2005 Published  October 2005

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.
Keywords: Growth factors, mathematical model, biological data, optimization., enzyme kinetics.
Mathematics Subject Classification: 92C4.
Citation: Justin P. Peters, Khalid Boushaba, Marit Nilsen-Hamilton. A Mathematical Model for Fibroblast Growth Factor Competition Based on Enzyme. Mathematical Biosciences & Engineering, 2005, 2 (4) : 789-810. doi: 10.3934/mbe.2005.2.789
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