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Title: Time delay in chemical exchange during an NMR pulse (English)
Author: Gamliel, Dan
Language: English
Journal: Mathematica Bohemica
ISSN: 0862-7959 (print)
ISSN: 2464-7136 (online)
Volume: 139
Issue: 2
Year: 2014
Pages: 155-162
Summary lang: English
Category: math
Summary: Spin exchange with a time delay in NMR (nuclear magnetic resonance) was treated in a previous work. In the present work the idea is applied to a case where all magnetization components are relevant. The resulting DDE (delay differential equations) are formally solved by the Laplace transform. Then the stability of the system is studied using the real and imaginary parts of the determinant in the characteristic equation. Using typical parameter values for the DDE system, stability is shown for all relevant cases. Also non-oscillating terms in the solution were found by studying the same determinant using similar parameter values. (English)
Keyword: magnetic resonance
Keyword: spin exchange
Keyword: delay differential equation
Keyword: characteristic equation
MSC: 11C20
MSC: 34C26
MSC: 34K06
MSC: 82D40
idZBL: Zbl 06362250
idMR: MR3238831
DOI: 10.21136/MB.2014.143846
Date available: 2014-07-14T08:08:27Z
Last updated: 2020-07-29
Stable URL:
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