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The temperature dependence of dormancy breaking in plants: Mathematical analysis of a two-step model involving a cooperative transition
Year:
1987
Source of publication :
Journal of Theoretical Biology
Authors :
Erez, Amnon
;
.
Fishman, S. N.
;
.
Volume :
124
Co-Authors:
Fishman, S., Department of Statistics and Experiment Design, Agricultural Research Organization, The Volcani Center, Bet Dagan, Israel
Erez, A., Department of Fruit Trees, Agricultural Research Organization, The Volcani Centre, Bet Dagan, Israel
Couvillon, G.A., Department of Horticulture, University of Georgia, Athens, GA 30602, United States
Facilitators :
From page:
473
To page:
483
(
Total pages:
11
)
Abstract:
A two-step model describing the thermal dependence of the dormancy breaking phenomenon is developed. The model assumes that the level of dormancy completion is proportional to the amount of a certain dormancy breaking factor which accumulates in plants by a two-step process. The first step represents a reversible process of formation of a precursor for the dormancy breaking factor at low temperatures and its destruction at high temperatures. The rate constants of this process are assumed to be dependent upon the temperature according to the Arrhenius law. The second step is an irreversible cooperative transition from the unstable precursor to a stable dormancy breaking factor. The transition is assumed to occur when a critical level of the precursor is accumulated. The two-step scheme is analysed mathematically. This model explains qualitatively the main observations on dormancy completion made under controlled temperature conditions and relates the parameters of the theory to the measurable characteristics of the system. © 1987 Academic Press Inc. (London) Ltd.
Note:
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More details
DOI :
10.1016/S0022-5193(87)80221-7
Article number:
Affiliations:
Database:
Scopus
Publication Type:
article
;
.
Language:
English
Editors' remarks:
ID:
30558
Last updated date:
02/03/2022 17:27
Creation date:
17/04/2018 00:55
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Scientific Publication
The temperature dependence of dormancy breaking in plants: Mathematical analysis of a two-step model involving a cooperative transition
124
Fishman, S., Department of Statistics and Experiment Design, Agricultural Research Organization, The Volcani Center, Bet Dagan, Israel
Erez, A., Department of Fruit Trees, Agricultural Research Organization, The Volcani Centre, Bet Dagan, Israel
Couvillon, G.A., Department of Horticulture, University of Georgia, Athens, GA 30602, United States
The temperature dependence of dormancy breaking in plants: Mathematical analysis of a two-step model involving a cooperative transition
A two-step model describing the thermal dependence of the dormancy breaking phenomenon is developed. The model assumes that the level of dormancy completion is proportional to the amount of a certain dormancy breaking factor which accumulates in plants by a two-step process. The first step represents a reversible process of formation of a precursor for the dormancy breaking factor at low temperatures and its destruction at high temperatures. The rate constants of this process are assumed to be dependent upon the temperature according to the Arrhenius law. The second step is an irreversible cooperative transition from the unstable precursor to a stable dormancy breaking factor. The transition is assumed to occur when a critical level of the precursor is accumulated. The two-step scheme is analysed mathematically. This model explains qualitatively the main observations on dormancy completion made under controlled temperature conditions and relates the parameters of the theory to the measurable characteristics of the system. © 1987 Academic Press Inc. (London) Ltd.
Scientific Publication
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