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A constitutive model for the time-dependent, nonlinear stress response of fibrin networks.

van Kempen TH, Peters GW, van de Vosse FN - Biomech Model Mechanobiol (2015)

Bottom Line: The results show three dominating nonlinear features: softening over multiple deformation cycles, strain stiffening and increasing viscous dissipation during a deformation cycle.A sensitivity analysis provides insights into the influence of the eight fit parameters.The model developed is able to describe the rich, time-dependent, nonlinear behavior of the fibrin network.

View Article: PubMed Central - PubMed

Affiliation: Department of Biomedical Engineering, Eindhoven University of Technology, PO Box 513, 5600MB, Eindhoven, The Netherlands, t.h.s.v.kempen@tue.nl.

ABSTRACT
Blood clot formation is important to prevent blood loss in case of a vascular injury but disastrous when it occludes the vessel. As the mechanical properties of the clot are reported to be related to many diseases, it is important to have a good understanding of their characteristics. In this study, a constitutive model is presented that describes the nonlinear viscoelastic properties of the fibrin network, the main structural component of blood clots. The model is developed using results of experiments in which the fibrin network is subjected to a large amplitude oscillatory shear (LAOS) deformation. The results show three dominating nonlinear features: softening over multiple deformation cycles, strain stiffening and increasing viscous dissipation during a deformation cycle. These features are incorporated in a constitutive model based on the Kelvin-Voigt model. A network state parameter is introduced that takes into account the influence of the deformation history of the network. Furthermore, in the period following the LAOS deformation, the stiffness of the networks increases which is also incorporated in the model. The influence of cross-links created by factor XIII is investigated by comparing fibrin networks that have polymerized for 1 and 2 h. A sensitivity analysis provides insights into the influence of the eight fit parameters. The model developed is able to describe the rich, time-dependent, nonlinear behavior of the fibrin network. The model is relatively simple which makes it suitable for computational simulations of blood clot formation and is general enough to be used for other materials showing similar behavior.

No MeSH data available.


Related in: MedlinePlus

Experimental results of the first LAOS sequence (a, c) and the corresponding model description (b, d). Both the Lissajous-Bowditch plots (a, b) and the stress in time (c, d) show that the model captures the nonlinear viscoelastic behavior of the fibrin networks that have polymerized for 2 h
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Fig7: Experimental results of the first LAOS sequence (a, c) and the corresponding model description (b, d). Both the Lissajous-Bowditch plots (a, b) and the stress in time (c, d) show that the model captures the nonlinear viscoelastic behavior of the fibrin networks that have polymerized for 2 h

Mentions: The experimental and numerical results for the LAOS sequence are shown in Fig. 7 as Lissajous-Bowditch plots (panel A,B) and for the stress in time (panel C,D). The three nonlinear features observed in the experimental results, being softening, strain stiffening and nonlinear viscous dissipation, are all described accurately by the model. The maximal stress values during a deformation cycle agree well, including the softening effect that occurs over multiple deformation cycles, also visible from the NSP during the LAOS sequence already shown in Fig. 3a. The nonlinear viscous dissipation is present in the model and agrees qualitatively with the experimental result, although there is room for improvement.Fig. 7


A constitutive model for the time-dependent, nonlinear stress response of fibrin networks.

van Kempen TH, Peters GW, van de Vosse FN - Biomech Model Mechanobiol (2015)

Experimental results of the first LAOS sequence (a, c) and the corresponding model description (b, d). Both the Lissajous-Bowditch plots (a, b) and the stress in time (c, d) show that the model captures the nonlinear viscoelastic behavior of the fibrin networks that have polymerized for 2 h
© Copyright Policy - OpenAccess
Related In: Results  -  Collection

Show All Figures
getmorefigures.php?uid=PMC4563000&req=5

Fig7: Experimental results of the first LAOS sequence (a, c) and the corresponding model description (b, d). Both the Lissajous-Bowditch plots (a, b) and the stress in time (c, d) show that the model captures the nonlinear viscoelastic behavior of the fibrin networks that have polymerized for 2 h
Mentions: The experimental and numerical results for the LAOS sequence are shown in Fig. 7 as Lissajous-Bowditch plots (panel A,B) and for the stress in time (panel C,D). The three nonlinear features observed in the experimental results, being softening, strain stiffening and nonlinear viscous dissipation, are all described accurately by the model. The maximal stress values during a deformation cycle agree well, including the softening effect that occurs over multiple deformation cycles, also visible from the NSP during the LAOS sequence already shown in Fig. 3a. The nonlinear viscous dissipation is present in the model and agrees qualitatively with the experimental result, although there is room for improvement.Fig. 7

Bottom Line: The results show three dominating nonlinear features: softening over multiple deformation cycles, strain stiffening and increasing viscous dissipation during a deformation cycle.A sensitivity analysis provides insights into the influence of the eight fit parameters.The model developed is able to describe the rich, time-dependent, nonlinear behavior of the fibrin network.

View Article: PubMed Central - PubMed

Affiliation: Department of Biomedical Engineering, Eindhoven University of Technology, PO Box 513, 5600MB, Eindhoven, The Netherlands, t.h.s.v.kempen@tue.nl.

ABSTRACT
Blood clot formation is important to prevent blood loss in case of a vascular injury but disastrous when it occludes the vessel. As the mechanical properties of the clot are reported to be related to many diseases, it is important to have a good understanding of their characteristics. In this study, a constitutive model is presented that describes the nonlinear viscoelastic properties of the fibrin network, the main structural component of blood clots. The model is developed using results of experiments in which the fibrin network is subjected to a large amplitude oscillatory shear (LAOS) deformation. The results show three dominating nonlinear features: softening over multiple deformation cycles, strain stiffening and increasing viscous dissipation during a deformation cycle. These features are incorporated in a constitutive model based on the Kelvin-Voigt model. A network state parameter is introduced that takes into account the influence of the deformation history of the network. Furthermore, in the period following the LAOS deformation, the stiffness of the networks increases which is also incorporated in the model. The influence of cross-links created by factor XIII is investigated by comparing fibrin networks that have polymerized for 1 and 2 h. A sensitivity analysis provides insights into the influence of the eight fit parameters. The model developed is able to describe the rich, time-dependent, nonlinear behavior of the fibrin network. The model is relatively simple which makes it suitable for computational simulations of blood clot formation and is general enough to be used for other materials showing similar behavior.

No MeSH data available.


Related in: MedlinePlus