Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantitative Characterization of the Microstructure and Transport
  Properties of Biopolymer Networks   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.

9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
18
The categories of this paper are: econ
2
The categories of this paper are: math