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Updated: Jan 4, 2026

High-throughput Identification of Gene Regulatory Sequences Using Next-generation Sequencing of Circular Chromosome Conformation Capture 4C-seq
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Restriction enzymes use a 24 dimensional coding space to recognize 6 base long DNA sequences.

Thomas D Schneider1, Vishnu Jejjala2,3

  • 1National Institutes of Health, National Cancer Institute, Center for Cancer Research, RNA Biology Laboratory, Frederick, Maryland, United States of America.

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PubMed
Summary
This summary is machine-generated.

Restriction enzymes like EcoRI use 24 independent contacts to bind specific DNA sequences. This high dimensionality, akin to optimal sphere packing, explains the prevalence of 6-base DNA cutters.

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Area of Science:

  • Molecular Biology
  • Biophysics
  • Information Theory

Background:

  • Restriction enzymes are crucial for recognizing and binding specific DNA sequences, particularly in defense against bacteriophages.
  • The precise binding of these enzymes to DNA relies on numerous molecular contacts, analogous to a lock and key mechanism.

Purpose of the Study:

  • To quantify the dimensionality of DNA-protein binding interactions using information theory.
  • To investigate the operational principles of restriction enzymes, specifically EcoRI, in relation to their binding specificity.

Main Methods:

  • Developed an equation based on information theory to define the number of independent contacts, representing binding dimensionality.
  • Analyzed the binding of the restriction enzyme EcoRI to its target DNA sequence (GAATTC).

Main Results:

  • The study determined that the restriction enzyme EcoRI functions in 24 dimensions, indicating 24 independent contacts for DNA sequence recognition.
  • Information theory models messages as spheres in high-dimensional spaces, where optimal packing enhances communication efficiency.
  • The densest known hypersphere packing is the Leech lattice, which exists in 24 dimensions.

Conclusions:

  • The restriction enzyme EcoRI appears to utilize a 24-dimensional Leech lattice in its DNA binding mechanism.
  • The optimization of sphere packing density in high-dimensional spaces provides a potential explanation for the common occurrence of 6-base DNA restriction enzymes.