Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Finding the center of a phyllotactic pattern.

Scott Hotton1

  • 1Department of Mathematics and Statistics, Miami University, Oxford, OH 45056, USA. zeno@math.smith.edu

Journal of Theoretical Biology
|October 16, 2003
PubMed
Summary

This study defines the center of plant phyllotaxis for accurate divergence angle calculations. A new numerical method precisely locates this center, improving theoretical and experimental comparisons in plant development.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Chemically mediated mechanical expansion of the pollen tube cell wall.

Biophysical journal·2011
Same author

The mechanics of explosive dispersal and self-burial in the seeds of the filaree, Erodium cicutarium (Geraniaceae).

The Journal of experimental biology·2011
Same author

Analytic formulas for discrete stochastic models of cell populations with both differentiation and de-differentiation.

Journal of theoretical biology·2007
See all related articles

Area of Science:

  • Botany and Plant Science
  • Mathematical Biology
  • Developmental Biology

Background:

  • Phyllotaxis, the arrangement of leaves or primordia on a plant stem, is crucial for plant development.
  • Calculating divergence angles in phyllotaxis traditionally relies on identifying the apex center, which is ill-defined in natural patterns.
  • Existing methods for estimating the apex center lack precise definitions, hindering accuracy assessment.

Purpose of the Study:

  • To provide a precise mathematical definition for the center of a phyllotactic pattern.
  • To develop a numerical method for accurately locating this defined center.
  • To facilitate robust comparisons between theoretical models and experimental observations in phyllotaxis.

Main Methods:

  • Development of a precise geometric definition for the center of phyllotactic patterns.
  • Implementation of a numerical algorithm to accurately identify the center based on the definition.
  • Validation of the method against ideal and natural phyllotactic data.

Main Results:

  • A rigorous definition for the center of phyllotactic patterns is established.
  • A reliable numerical method for locating the apex center is presented.
  • The proposed tools enable precise measurement of divergence angles.

Conclusions:

  • The defined center and numerical method offer a standardized approach to analyzing plant phyllotaxis.
  • This work bridges the gap between theoretical phyllotaxis and empirical data.
  • Facilitates future research in plant development and pattern formation.

Related Experiment Videos