Physics – Biological Physics
Scientific paper
2012-03-21
Physics
Biological Physics
23 pages, 9 figures
Scientific paper
Biopolymer networks are of fundamental importance to many biological processes in normal and tumorous tissues. In this paper, we employ the panoply of theoretical and simulation techniques developed for characterizing heterogeneous materials to quantify the microstructure and effective diffusive transport properties (diffusion coefficient $D_e$ and mean survival time $\tau$) of collagen type I networks at various collagen concentrations. In particular, we compute the pore-size probability density function $P(\delta)$ for the networks and present a variety of analytical estimates of the effective diffusion coefficient $D_e$ for finite-sized diffusing particles. The Hashin-Strikman upper bound on the effective diffusion coefficient $D_e$ and the pore-size lower bound on the mean survival time $\tau$ are used as benchmarks to test our analytical approximations and numerical results. Moreover, we generalize the efficient first-passage-time techniques for Brownian-motion simulations in suspensions of spheres to the case of fiber networks and compute the associated effective diffusion coefficient $D_e$ as well as the mean survival time $\tau$, which is related to nuclear magnetic resonance (NMR) relaxation times. Specifically, the Torquato approximation provides the most accurate estimates of $D_e$ for all collagen concentrations among all of the analytical approximations we consider. We formulate a universal curve for $\tau$ for the networks at different collagen concentrations. We apply rigorous cross-property relations to estimate the effective bulk modulus of collagen networks from a knowledge of the effective diffusion coefficient computed here.
Jiao Yangxiu
Torquato Salvatore
No associations
LandOfFree
Quantitative Characterization of the Microstructure and Transport Properties of Biopolymer Networks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Quantitative Characterization of the Microstructure and Transport Properties of Biopolymer Networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantitative Characterization of the Microstructure and Transport Properties of Biopolymer Networks will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-380820