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Physical Sciences and Mathematics Commons

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Simulation

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Full-Text Articles in Physical Sciences and Mathematics

Numerical Simulation Of Diffusion Mri Signals Using An Adaptive Time-Stepping Method, Jing-Rebecca Li, Donna Calhoun, Cyril Poupon, Denis Le Bihan Feb 2014

Numerical Simulation Of Diffusion Mri Signals Using An Adaptive Time-Stepping Method, Jing-Rebecca Li, Donna Calhoun, Cyril Poupon, Denis Le Bihan

Donna Calhoun

The effect on the MRI signal of water diffusion in biological tissues in the presence of applied magnetic field gradient pulses can be modelled by a multiple compartment Bloch–Torrey partial differential equation. We present a method for the numerical solution of this equation by coupling a standard Cartesian spatial discretization with an adaptive time discretization. The time discretization is done using the explicit Runge–Kutta–Chebyshev method, which is more efficient than the forward Euler time discretization for diffusive- type problems. We use this approach to simulate the diffusion MRI signal from the extra-cylindrical compartment in a tissue model of the brain …


Simulation Of Circuit Creation In Tor: Preliminary Results, William Boyd, Norman Danner, Danny Krizanc Jul 2013

Simulation Of Circuit Creation In Tor: Preliminary Results, William Boyd, Norman Danner, Danny Krizanc

Norman Danner

We describe a methodology for simulating Tor relay up/down behavior over time and give some preliminary results.