A Computational Model of FGF-2 Binding and HSPG Regulation Under Flow
| Autor: | Jun Zhang, Michael Fannon, Wensheng Shen, Kimberly Forsten-Williams, Changjiang Zhang |
|---|---|
| Rok vydání: | 2009 |
| Předmět: |
Mathematical optimization
Biomedical Engineering Ligands Fibroblast growth factor Models Biological Article Quantitative Biology::Subcellular Processes Bioreactors Applied mathematics Computer Simulation Partial differential equation Finite volume method Ode Reproducibility of Results Receptors Fibroblast Growth Factor Stiff equation Backward Euler method Kinetics Nonlinear system Nonlinear Dynamics Flow (mathematics) Fibroblast Growth Factor 2 Rheology Algorithms Heparan Sulfate Proteoglycans Protein Binding |
| Zdroj: | IEEE Transactions on Biomedical Engineering. 56:2147-2155 |
| ISSN: | 1558-2531 0018-9294 |
| DOI: | 10.1109/tbme.2008.2002109 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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