Title
Influence of an exogenous model parameter on the steady states in an auxin transport model Influence of an exogenous model parameter on the steady states in an auxin transport model
Author
Faculty/Department
Faculty of Sciences. Biology
Faculty of Sciences. Mathematics and Computer Science
Publication type
bookPart
Publication
[*]
Subject
Mathematics
Biology
Computer. Automation
Source (book)
IEEE 4th International Symposium on Plant Growth Modeling, Simulation, Visualization and Applications (PMA), October 31-November 3, 2012, Shanghai, Peoples Republic China
ISBN
978-1-4673-0070-4
ISI
000324265300017
Carrier
E
Target language
English (eng)
Affiliation
University of Antwerp
Abstract
Transport models of growth hormones contain many different parameters that determine the behavior of the system. Understanding the influence of these parameters will allow us to predict the patterns that emerge in the models when the parameters are changed and is therefore an important research topic. This paper studies the influence of an exogenous model parameter in the auxin transport model of Smith et al. [1] for a one-dimensional row of uniform square cells. The occurrence of different auxin patterns in function of the flux at the boundaries is observed by using numerical continuation methods and bifurcation analysis. For certain exogenous parameter ranges, we identified a s-shaped bistable bifurcation scenario. We found that the auxin pattern can change instantly if the auxin flux at the boundaries exceeds a certain threshold.
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