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

A differential geometry approach for biomedical image processing.

Jacques Demongeot1, Jean-Pierre Françoise, Mathieu Richard

  • 1Laboratoire TIMC-IMAG, UMR CNRS 5525, faculté de médecine, université Joseph-Fourier de Grenoble, 38700 La Tronche, France. Jacques.Demongeot@imag.fr

Comptes Rendus Biologies
|August 7, 2002
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

Boolean Networks with Classic and New Updating Modes Applied to Genetic Regulation in Some Familial Diseases.

International journal of molecular sciences·2025
Same author

The work of Pierre Magal on differential equations, functional analysis and mathematical biology.

Journal of mathematical biology·2025
Same author

Editorial.

Mathematical medicine and biology : a journal of the IMA·2025
Same author

A signal-processing tool adapted to the periodic biphasic phenomena: the Dynalet transform.

Mathematical medicine and biology : a journal of the IMA·2024
Same author

A mathematical model simulating the adaptive immune response in various vaccines and vaccination strategies.

Scientific reports·2024
Same author

Forecasting the changes between endemic and epidemic phases of a contagious disease, with the example of COVID-19.

Mathematical medicine and biology : a journal of the IMA·2024

This paper introduces a mathematical method for segmenting peaks in bio-arrays images, enabling gene activity analysis. The approach uses differential geometry for automatic image processing and is effective for isolated peaks.

Area of Science:

  • Bioinformatics
  • Computational Biology
  • Image Analysis

Background:

  • Bio-arrays images possess a unique structure crucial for analyzing gene activity.
  • Automated processing of these images is essential for efficient biological research.
  • Existing methods may lack the precision required for detailed peak analysis.

Purpose of the Study:

  • To present a novel mathematical method for automatic peak segmentation in bio-arrays images.
  • To enable accurate gene activity analysis through precise image processing.
  • To demonstrate the versatility of the method for other image types with functional peaks.

Main Methods:

  • Utilizing elementary techniques from differential geometry.
  • Applying principles from dynamical systems theory.

Related Experiment Videos

  • Developing a simple and efficient algorithm for peak segmentation.

    • Main Results:

    • Successful peak segmentation in bio-arrays images.
    • Facilitation of gene activity analysis.
    • Demonstration of the method's applicability to images with grey level peaks indicating functional activity or chemical concentration.

    Conclusions:

    • The proposed differential geometry approach offers an effective solution for bio-arrays image processing.
    • The method provides a simple and efficient algorithm for segmenting isolated peaks.
    • This technique has potential applications beyond bio-arrays, including analysis of functional activity and chemical concentration in various image types.