Mathematical Modelling of the <Emphasis Type="Italic">Aux/IAA</Emphasis> Negative Feedback Loop |
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Authors: | A M Middleton J R King M J Bennett M R Owen |
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Institution: | (1) Interdisciplinary Centre for Plant Genomics and Department of Plant Molecular Biology, University of Delhi South Campus, Benito Juarez Road, New Delhi, 110021, India; |
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Abstract: | 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. |
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