Abstract #1572
An Extended Matrix Method for Analysis of Restricted Diffusion in Multi-Compartment Tissue With Semi-Permeable Nuclear Membranes
Gregory Duane 1,2 , Yanwei Wang 1 , Blake R. Walters 1 , and Jae K. Kim 1
1
Thunder Bay Regional Research Institute,
Thunder Bay, Ontario, Canada,
2
University
of Colorado, Boulder, Colorado, United States
The impulse-propagator (matrix) method is extended to a
multi-compartment idealized cell geometry describing
nucleus, cytoplasm, and extracellular fluid, with
semi-permeable membranes. The R matrices now represent
propagation between compartments as well as
intra-compartment propagation, with an approximate
adjustment of the latter. Results are compared with
those of Monte Carlo simulations. For biologically
realistic nuclear membrane permeability, there are
quantitative differences with the Monte Carlo results,
but the contrast between signals for cases of large and
small nuclei is qualitatively similar to the Monte Carlo
contrast. The extended matrix method appears adequate to
optimize q values for sensitivity to nucleus size.
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