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

Receptor-based models with hysteresis for pattern formation in hydra.

Anna Marciniak-Czochra1

  • 1Institute of Applied Mathematics, University of Heidelberg, Im Neuenheimer Feld 294, 69120 Heidelberg, Germany. anna.marciniak@iwr.uni-heidelberg.de

Mathematical Biosciences
|January 3, 2006
PubMed
Summary

This study introduces a novel receptor-based model for hydra pattern formation, utilizing hysteresis to explain complex biological regulation and pattern diversity.

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

Beyond Bayesian Inference: The Correlation Integral Likelihood Framework and Gradient Flow Methods for Deterministic Sampling.

Bulletin of mathematical biology·2025
Same author

Complex genotype-phenotype relationships shape the response to treatment of down syndrome childhood acute lymphoblastic leukaemia.

Scientific reports·2025
Same author

Author Correction: Cross-species comparison reveals therapeutic vulnerabilities halting glioblastoma progression.

Nature communications·2025
Same author

50 Years Journal of Mathematical Biology.

Journal of mathematical biology·2025
Same author

Cross-species comparison reveals therapeutic vulnerabilities halting glioblastoma progression.

Nature communications·2025
Same author

Unraveling regulatory feedback mechanisms in adult neurogenesis through mathematical modelling.

NPJ systems biology and applications·2025

Area of Science:

  • Developmental Biology
  • Mathematical Biology
  • Biophysics

Background:

  • Hydra, a freshwater polyp, exhibits remarkable pattern formation and regeneration capabilities.
  • Understanding the molecular mechanisms underlying hydra's self-organization is crucial for developmental biology.

Purpose of the Study:

  • To propose a novel receptor-based mathematical model for pattern formation and regulation in hydra.
  • To investigate the role of hysteresis in driving pattern formation and its implications for hydra biology.

Main Methods:

  • Development of a reaction-diffusion system coupled with ordinary differential equations.
  • Incorporation of hysteretic dependence for diffusible molecule production.
  • Analysis of model properties to predict pattern formation dynamics.

Related Experiment Videos

Main Results:

  • The model successfully explains various aspects of pattern formation and regulation in hydra.
  • Demonstration of hysteresis-driven mechanisms leading to diverse spatial patterns.
  • Identification of multiple homogeneous steady states and switches in production rates.

Conclusions:

  • The proposed model offers a robust framework for understanding hydra pattern formation.
  • Hysteresis is identified as a key mechanism for generating complex spatio-temporal patterns.
  • The model highlights the interplay between molecular dynamics and emergent biological structures.