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Distribution in TLM models for diffusion (Part I: one-dimensional treatment)

✍ Scribed by P. Chardaire; D. de Cogan

Publisher: John Wiley and Sons
Year: 2002
Tongue: English
Weight: 123 KB
Volume: 15
Category: Article
ISSN: 0894-3370
DOI: 10.1002/jnm.446

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✦ Synopsis

Abstract

The signal obtained at each time step of a TLM simulation for one‐dimensional diffusion is analysed for single shot injections. A combinatorial formula is provided to predict the signal value at any given spatial positions. Formulas for expectation and variance are obtained using a technique based on generating functions. We briefly compare the resulting variance and that of the underlying diffusion process. Copyright © 2002 John Wiley & Sons, Ltd.

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