Journal Article

FZJ-2015-02638

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png On Solving the McConnell Equations in Biochemistry

Grotendorst, J. (Corresponding Author)FZJ* ; Jansen, P.FZJ* ; Schoberth, S.

1994
Birkhäuser Boston, Mass.

Please use a persistent id in citations: http://hdl.handle.net/2128/8512

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.

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Contributing Institute(s):

1. Zentralinstitut für Angewandte Mathematik (ZAM)
2. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 899 - ohne Topic (POF2-899) (POF2-899)

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Database coverage:
; JCR ; Thomson Reuters Master Journal List ; Web of Science Core Collection

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