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Phyllotaxis, pattern formation in plants
• New plant organs appear at the SAM in a remarkably symmetric fashion
• The spiral pattern and the connection to the Fibonacci series and Golden angle have attracted theoreticians
• Lots of models exist and new experimental data have illuminated molecular connections to the patterns
Introduction to AuxinsIntroduction to Auxins
• Concentrations of the plant hormone Auxin play a major role in plant development.
How is Auxin activity How is Auxin activity regulated?regulated?
• Lateral inhibition between primordia.
• Reaction-diffusion inhibitor model.
• Depletion of primordium promoting factor.
Jönsson H, et al 2006
• Indole-3-acetic acid (IAA)
• Capable of creating new primordium when added to developing tissues.
Reinhardt et al 2003
Aux/IAAAux/IAA
Modeling the PathwayModeling the Pathway
• Signal from older/incipient primordia • Auxin flux• Auxin concentration
Simple model
Active vs. Passive transport
A- + H+ AH
ii
N
jj
N
jiji
N
jjijidp
ii aNaDPaPaTaKK
dt
daf
iii
ai – auxin concentration
Pij –PIN1
production
degradation activetransport
passivetransport
Modeling the PathwayModeling the Pathway
T - active transportD - inactive transportKd - degradation
Analysis of Auxin Model
)2(2)(2 DKKKDT ddd
• Analysis predicts when the model will spontaneously create auxin peaks
• Also predicts distance between peaks
Concluding remarks
• Models can be used to indicate what players and interactions might be sufficient for driving phyllotaxis
• Experiments to test the auxin model
ReferencesReferences• (2006) Mjolsness E. Modeling transcriptional regulation with
equilibrium molecular complex composition, 5th International Conference on the Bioinformatics of Genome Regulation and Function (BGRS-2006), Volume 1, pp. 118-121.
• (2006) Jönsson H, Heisler M, Shapiro BE, Meyerowitz EM, Mjolsness ED. An Auxin-driven polarized transport model for phyllotaxis. Proc. Natl. Acad. Sci., U.S.A., 103(5):1633-1638.
• (2006) Alon, Uri An Introduction to Systems Biology: Design Principles of Biological Circuits. CRC