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Title: Geometric characterization and simulation of planar layered elastomeric fibrous biomaterials

Many important biomaterials are composed of multiple layers of networked fibers. While there is a growing interest in modeling and simulation of the mechanical response of these biomaterials, a theoretical foundation for such simulations has yet to be firmly established. Moreover, correctly identifying and matching key geometric features is a critically important first step for performing reliable mechanical simulations. This paper addresses these issues in two ways. First, using methods of geometric probability, we develop theoretical estimates for the mean linear and areal fiber intersection densities for 2-D fibrous networks. These densities are expressed in terms of the fiber density and the orientation distribution function, both of which are relatively easy-to-measure properties. Secondly, we develop a random walk algorithm for geometric simulation of 2-D fibrous networks which can accurately reproduce the prescribed fiber density and orientation distribution function. Furthermore, the linear and areal fiber intersection densities obtained with the algorithm are in agreement with the theoretical estimates. Both theoretical and computational results are compared with those obtained by post-processing of scanning electron microscope images of actual scaffolds. These comparisons reveal difficulties inherent to resolving fine details of multilayered fibrous networks. Finally, the methods provided herein can provide a rational meansmore » to define and generate key geometric features from experimentally measured or prescribed scaffold structural data.« less
Authors:
 [1] ;  [2] ;  [1] ;  [1] ;  [1]
  1. Univ. of Texas, Austin, TX (United States)
  2. Univ. of Pittsburgh, Pittsburgh, PA (United States)
Publication Date:
OSTI Identifier:
1343753
Grant/Contract Number:
FC52-08NA28615
Type:
Accepted Manuscript
Journal Name:
Acta Biomaterialia
Additional Journal Information:
Journal Volume: 12; Journal ID: ISSN 1742-7061
Publisher:
Acta Materialia, Inc.
Research Org:
Univ. of Texas, Austin, TX (United States)
Sponsoring Org:
USDOE National Nuclear Security Administration (NNSA)
Country of Publication:
United States
Language:
English
Subject:
59 BASIC BIOLOGICAL SCIENCES; 36 MATERIALS SCIENCE scaffolds; electrospun; fiber geometry; simulation; micromechanics