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@ARTICLE{Grotendorst:189478,
author = {Grotendorst, Johannes and Jansen, Paul and Schoberth,
Siegfried},
title = {{O}n {S}olving the {M}c{C}onnell {E}quations in
{B}iochemistry},
journal = {MapleTech},
volume = {1},
number = {1},
issn = {1061-5733},
address = {Boston, Mass.},
publisher = {Birkhäuser},
reportid = {FZJ-2015-02638},
pages = {56-62},
year = {1994},
abstract = {In recent years, in vivo nuclear magnetic resonance (NMR)
spectroscopy has allowed to measure rate constants of
transport and diffusion across living cell membranes. For
the study of bacterial systems a special NMR technique
-inversion transfer- is used. The theoretical basis for the
analysis of inversion transfer experiments is a system of
differential equations first formulated by McConnell. These
equations describe the rate of change of nuclear spin
magnetization of a single nuclear species which is
transferred back and forth between two different magnetic
environments by kinetic processes. In this article we
demonstrate various ways how the McConnell equations can be
solved analytically using the symbolic computation system
Maple, and verify solutions found in the literature.
Furthermore, computation techniques of mixed
symbolic-numeric type for the determination of the formal
parameters involved in the solutions are indicated.},
cin = {ZAM / JSC},
ddc = {004},
cid = {I:(DE-Juel1)VDB62 / I:(DE-Juel1)JSC-20090406},
pnm = {899 - ohne Topic (POF2-899)},
pid = {G:(DE-HGF)POF2-899},
typ = {PUB:(DE-HGF)16},
url = {https://juser.fz-juelich.de/record/189478},
}