A computational model of FGF-2 binding and HSPG regulation under flow

Wensheng Shen, Changjiang Zhang, Michael W. Fannon, Kimberly Forsten-Williams, Jun Zhang

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


A novel convection - diffusion - reaction model is developed to simulate fibroblast growth factor (FGF-2) binding to cell surface receptors (FGFRs) and heparan sulfate proteoglycans (HSPGs) under flow conditions within a cylindrical-shaped vessel or capillary. The model consists of a set of coupled nonlinear partial differential equations (PDEs) and a set of coupled nonlinear ordinary differential equations (ODEs). The time-dependent PDE system is discretized and solved by a second-order implicit Euler scheme using the finite volume method. The ODE system is solved by a stiff ODE solver VODE using backward differencing formulation (BDF). The transient solution of FGF-2, FGFR, HSPG, and their bound complexes for three different flow rates are computed and presented. Simulation results indicate that the model can predict growth factor transport and binding to receptors with/without the presence of heparan sulfate, as well as the effect of flow rate on growth factor-receptor binding. Our computational model may provide a useful means to investigate the impact of fluid flow on growth factor dynamics, and ultimately, signaling within the circulation.

Original languageEnglish
Pages (from-to)2147-2155
Number of pages9
JournalIEEE Transactions on Biomedical Engineering
Issue number9
StatePublished - Sep 2009

Bibliographical note

Funding Information:
Manuscript received October 24, 2007; revised April 22, 2008. First published July 15, 2008; current version published August 14, 2009. This research work was supported in part by the National Institutes of Health (NIH) under Grant R01-HL086644-01. Asterisk indicates corresponding author.


  • Computer modeling
  • Convection diffusion reaction
  • Fibroblast growth factor (FGF-2)
  • Heparan sulfate proteoglycan (HSPG)
  • Incompressible flow

ASJC Scopus subject areas

  • Biomedical Engineering


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