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Role of Concentration-dependent Unloading in Mathematical Models of Münch Transport
Author(s) -
Jack Ferrier,
A. Lawrence Christy
Publication year - 1977
Publication title -
plant physiology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.554
H-Index - 312
eISSN - 1532-2548
pISSN - 0032-0889
DOI - 10.1104/pp.60.1.173
Subject(s) - mathematical model , phloem , distribution (mathematics) , chemistry , mechanics , biological system , mathematics , physics , biology , mathematical analysis , botany , statistics
It has been erroneously claimed (Goeschl et al. [1976] Plant Physiol. 58: 556-562) that concentration-dependent unloading is required for a correct mathematical solution for Münch phloem transport. Although it may prove to be physiologically correct, concentration-dependent unloading is not a mathematical necessity. Furthermore, its use in a mathematical model may not be desirable, because there is an infinite family of solutions for any given unloading distribution, irrespective of whether concentration-dependent unloading is assumed. Some illustrative numerical results are presented.

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