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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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