A constitutive law for poly(butylene terephthalate) nanofibers mats

Vita, R. De; Leo, Don; Woo, Kee-Do; Nah, Changwoon

doi:10.1002/app.24784

Cited by 7 publications

(3 citation statements)

References 10 publications

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“…Constitutive models of electrospun scaffolds have varied widely in their complexity, from simple geometrically motivated linear models [17, 27, 29] to hyperelastic continuum models [26, 30, 31]. Hyperelastic models have the additional advantage of describing materials with nonlinear mechanical behaviors over large deformations.…”

Section: Introductionmentioning

confidence: 99%

Fabrication and Modeling of Dynamic Multipolymer Nanofibrous Scaffolds

Baker

Nerurkar

Burdick

et al. 2009

Journal of Biomechanical Engineering

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Aligned nanofibrous scaffolds hold tremendous potential for the engineering of dense connective tissues. These biomimetic micro-patterns direct organized, cell-mediated matrix deposition, and can be tuned to possess nonlinear and anisotropic mechanical properties. For these scaffolds to function in vivo, however, they must either recapitulate the full dynamic mechanical range of the native tissue upon implantation, or must foster cell infiltration and matrix deposition so as to enable construct maturation to meet these criteria. In our recent studies, we noted that cell infiltration into dense aligned structures is limited, but could be expedited via the inclusion of a distinct, rapidly eroding sacrificial component. In the present study, we sought to further the fabrication of dynamic nanofibrous constructs by combining multiple fiber populations, each with distinct mechanical characteristics, into a single composite nanofibrous scaffold. Towards this goal, we developed a novel method for the generation of aligned electrospun composites containing rapidly eroding (PEO), moderately degradable (PLGA and PCL/PLGA), and slowly degrading (PCL) fiber populations. We evaluated the mechanical properties of these composites upon formation and with degradation in a physiologic environment. Further, we employed a hyperelastic constrained mixture model to capture the nonlinear and time-dependent properties of these scaffolds when formed as single-fiber populations or in multi-polymer composites. After validating this model, we demonstrated that by carefully selecting fiber populations with differing mechanical properties, and altering the relative fraction of each, a wide range of mechanical properties (and degradation characteristics) can be achieved. This advance allows for the rational design of nanofibrous scaffolds to match native tissue properties, and will significantly enhance our ability to fabricate replacements for load bearing tissues of the musculoskeletal system.

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Section: Introductionmentioning

confidence: 99%

Fabrication and Modeling of Dynamic Multipolymer Nanofibrous Scaffolds

Baker

Nerurkar

Burdick

et al. 2009

Journal of Biomechanical Engineering

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“…Structural constitutive models have recently been utilized to study acellular electrospun mesh mechanical behavior 20, 21 . Studies like these are useful to determine application-specific design criteria for tissue engineering scaffold fabrication; however, the models were not used to evaluate cell-mediated changes in engineered tissue mechanics.…”

Section: Introductionmentioning

confidence: 99%

ISSLS Prize Winner: Integrating Theoretical and Experimental Methods for Functional Tissue Engineering of the Annulus Fibrosus

Nerurkar

Mauck

Elliott

2008

Spine

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Study Design Integrate theoretical and experimental approaches for annulus fibrosus (AF) functional tissue engineering. Objective Apply a hyperelastic constitutive model to characterize the evolution of engineered AF via scalar model parameters. Validate the model and predict the response of engineered constructs to physiologic loading scenarios. Summary of Background Data There is need for a tissue engineered replacement for degenerate AF. When evaluating engineered replacements for load-bearing tissues, it is necessary to evaluate mechanical function with respect to the native tissue, including nonlinearity and anisotropy. Methods Aligned nanofibrous poly-ε-caprolactone scaffolds with prescribed fiber angles were seeded with bovine AF cells and analyzed over 8 weeks using experimental (mechanical testing, biochemistry, histology) and theoretical methods (a hyperelastic fiber-reinforced constitutive model). Results The linear region modulus for φ = 0° constructs increased by ~25 MPa, and for φ = 90° by ~2 MPa from 1 day to 8 weeks in culture. Infiltration and proliferation of AF cells into the scaffold and abundant deposition of s-GAG and aligned collagen was observed. The constitutive model had excellent fits to experimental data to yield matrix and fiber parameters that increased with time in culture. Correlations were observed between biochemical measures and model parameters. The model was successfully validated and used to simulate time varying responses of engineered AF under shear and biaxial loading. Conclusion AF cells seeded on nanofibrous scaffolds elaborated an organized, anisotropic AF-like extracellular matrix, resulting in improved mechanical properties. A hyperelastic fiber-reinforced constitutive model characterized the functional evolution of engineered AF constructs, and was used to simulate physiologically relevant loading configurations. Model predictions demonstrated that fibers resist shear even when the shearing direction does not coincide with the fiber direction. Further, the model suggested that the native AF fiber architecture is uniquely designed to support shear stresses encountered under multiple loading configurations.

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“…The macroscopic mechanical behaviour of ESNs has been captured by continuum models without or very little reference to their microscopic properties [10][11][12][13]. In addition, few models were proposed that established scale transitions by using unit cells with three or four representative fibres [14,15], some others were adopted from polymer network modelling [16], were based on affine structural approaches [17][18][19], or statistical averaging [20,21]. While these approaches are beneficial in terms of computational effort, the relation between microscopic properties and macroscopic behaviour is essentially established through specific assumptions.…”

Section: Introductionmentioning

confidence: 99%

A 3D computational model of electrospun networks and its application to inform a reduced modelling approach

Domaschke

Zündel

Mazza

et al. 2019

International Journal of Solids and Structures

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In this contribution, a full 3D finite element model of electrospun networks is presented. The model explicitly accounts for the specific microstructure of these networks by generating representative volume elements through a particular fibre deposition method inspired by the process of network formation during electrospinning. The modelled fibre material and structural properties, such as different fibre shapes and distributions in diameter, can vary over a wide range, and mutual fibre contact is considered in addition to permanent cross-links. In addition to the homogenized mechanical response to macroscopic in-plane loads, the model provides access to structural information which can hardly be determined in experiments, such as fibre disposition and interconnectivity. In the present work, this asset is used to inform a recent 2.5D modelling approach (Zündel et al., 2017) and to validate inherent assumptions on network structure. The comparison between the responses of the two approaches reveals that for networks of high porosity, the reduced 2.5D model captures well the mechanical behaviour in plane stress load cases. At lower porosities though, the increasing out-of-plane orientation of fibre segments leads to effects that cannot be captured by planar approaches and necessitate a 3D approach.

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A constitutive law for poly(butylene terephthalate) nanofibers mats

Cited by 7 publications

References 10 publications

Fabrication and Modeling of Dynamic Multipolymer Nanofibrous Scaffolds

Fabrication and Modeling of Dynamic Multipolymer Nanofibrous Scaffolds

ISSLS Prize Winner: Integrating Theoretical and Experimental Methods for Functional Tissue Engineering of the Annulus Fibrosus

A 3D computational model of electrospun networks and its application to inform a reduced modelling approach

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