Mathematical Modelling of the Aux/IAA Negative Feedback Loop

被引:52
作者
Middleton, A. M. [1 ,2 ]
King, J. R. [1 ]
Bennett, M. J. [2 ]
Owen, M. R. [1 ]
机构
[1] Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England
[2] Univ Nottingham, Sch Biosci, CPIB, Loughborough LE12 5RD, England
基金
英国生物技术与生命科学研究理事会;
关键词
Auxin; Aux/IAA; Gene network; Oscillations; AUXIN RESPONSE; INDOLEACETIC-ACID; GENE-EXPRESSION; PROTEIN; DEGRADATION; PS-IAA4/5; FAMILY; TIR1;
D O I
10.1007/s11538-009-9497-4
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
The hormone auxin is implicated in regulating a diverse range of developmental processes in plants. Auxin acts in part by inducing the Aux/IAA genes. The associated pathway comprises multiple negative feedback loops (whereby Aux/IAA proteins can repress Aux/IAA genes) that are disrupted by auxin mediating the turnover of Aux/IAA protein. In this paper, we develop a mathematical model of a single Aux/IAA negative feedback loop in a population of identical cells. The model has a single steady-state. We explore parameter space to uncover a number of dynamical regimes. In particular, we identify the ratio between the Aux/IAA protein and mRNA turnover rates as a key parameter in the model. When this ratio is sufficiently small, the system can evolve to a stable limit cycle, corresponding to an oscillation in Aux/IAA expression levels. Otherwise, the steady-state is either a stable-node or a stable-spiral. These observations may shed light on recent experimental results.
引用
收藏
页码:1383 / 1407
页数:25
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