Jove
Visualize
Contact Us

Related Experiment Videos

Creating phyllotaxis: the dislodgement model.

F M van der Linden1

  • 1University of Technology/PTHN, Eindhoven, Holland.

Mathematical Biosciences
|July 1, 1990
PubMed
Summary
This summary is machine-generated.

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

Closed reduction intermetacarpal Kirschner wire fixation in the treatment of unstable fractures of the base of the first metacarpal.

Injury·2011
Same author

Creating phyllotaxis: the stack-and-drag model.

Mathematical biosciences·1996
Same author

Ultrasound diagnosis of incarcerated obturator hernia.

The European journal of surgery = Acta chirurgica·1995
Same journal

The hydra and hormetic effects in a single discrete-time overcompensation model.

Mathematical biosciences·2026
Same journal

Seasonal impacts on brucellosis transmission mediated by live sheep supply-demand dynamics.

Mathematical biosciences·2026
Same journal

Optimal controls and cost-effectiveness analysis on the transmission dynamics of early blight disease in tomatoes.

Mathematical biosciences·2026
Same journal

Temperature-dependent dynamics and allee effect thresholds mediate fourfold cusp stability in biological control of invasive vectors.

Mathematical biosciences·2026
Same journal

Dynamics of a stochastic tumor-immune interaction system with an Ornstein-Uhlenbeck process.

Mathematical biosciences·2026
Same journal

Post-peak dynamics and epidemic overshoot in SIR-type frameworks.

Mathematical biosciences·2026
See all related articles
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

A simple geometrical law, not genetic code, likely governs Fibonacci numbers in plant growth. This mathematical approach offers a unified model for various phyllotaxis constructions.

Area of Science:

  • Botany
  • Mathematical Biology
  • Plant Morphology

Background:

  • Fibonacci numbers and ratios are prevalent in plant structures (phyllotaxis).
  • The underlying mechanism for this ubiquitous natural pattern remains a subject of investigation.
  • Existing models often lack a unified geometrical basis.

Purpose of the Study:

  • To propose a simple geometrical law as the arranging mechanism for Fibonacci sequences in plants.
  • To demonstrate a unified mathematical model for constructing phyllotaxis.
  • To explore the implications of a purely geometrical approach over genetic specification.

Main Methods:

  • Developing a mathematical model based on geometrical principles rather than specific genetic instructions.
  • Utilizing natural growth functions within the proposed geometrical framework.

Related Experiment Videos

  • Applying the model to construct various phyllotactic structures.

    • Main Results:

    • The study demonstrates that specific angles or distances are not required for phyllotaxis construction.
    • The proposed model accommodates planar, cylindrical, conical, and paraboloid constructions.
    • Accessory and multijugate sequences can be generated within this unified framework.

    Conclusions:

    • A simple geometrical law, not direct genetic specification, is likely responsible for Fibonacci sequences in plant development.
    • This mathematical perspective provides a flexible and unified model for understanding plant phyllotaxis.
    • Further investigation using mathematical rather than purely biological approaches is warranted.