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

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

doi:10.1109/TBME.2008.2002109

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

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

Computer Science

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

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 language	English
Pages (from-to)	2147-2155
Number of pages	9
Journal	IEEE Transactions on Biomedical Engineering
Volume	56
Issue number	9
DOIs	https://doi.org/10.1109/TBME.2008.2002109
State	Published - 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.

Keywords

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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10.1109/TBME.2008.2002109

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title = "A computational model of FGF-2 binding and HSPG regulation under flow",

abstract = "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.",

keywords = "Computer modeling, Convection diffusion reaction, Fibroblast growth factor (FGF-2), Heparan sulfate proteoglycan (HSPG), Incompressible flow",

author = "Wensheng Shen and Changjiang Zhang and Fannon, {Michael W.} and Kimberly Forsten-Williams and Jun Zhang",

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.",

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AU - Shen, Wensheng

AU - Zhang, Changjiang

AU - Fannon, Michael W.

AU - Forsten-Williams, Kimberly

AU - Zhang, Jun

N1 - 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.

PY - 2009/9

Y1 - 2009/9

N2 - 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.

AB - 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.

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KW - Convection diffusion reaction

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KW - Heparan sulfate proteoglycan (HSPG)

KW - Incompressible flow

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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