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Allosteric interactions in a birod model of DNA
Jaspreet Singh1, Prashant K Purohit1
1Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Philadelphia, PA 19104, USA.
Summary
We developed a birod model to quantify allosteric interactions between DNA-bound molecules. This model explains how interaction energy decays exponentially with distance, aligning with experimental findings.
Area of Science:
- Biophysics
- Molecular Biology
- Genetics
Background:
- Allosteric interactions between distant DNA-bound molecules are well-documented.
- A comprehensive theoretical understanding of DNA elasticity governing these interactions is lacking.
Purpose of the Study:
- To quantify allosteric interactions between two DNA-bound entities using a birod elasticity theory.
- To establish a theoretical framework for understanding DNA allostery.
Main Methods:
- Developed a birod model representing DNA as two interacting elastic strands connected by an elastic web (basepairs).
- Modeled local DNA deformations caused by bound molecules.
- Calculated the interaction energy between two DNA-bound proteins as a function of their separation.
Main Results:
- The displacement field from bound entities decays exponentially with distance.
- DNA-protein interaction energy decays exponentially and oscillates with DNA's double helix periodicity.
- Interaction decay length depends on DNA mechanical properties and GC content.
Conclusions:
- The birod model successfully quantifies allosteric interactions on DNA.
- The model provides a continuum elasticity framework for DNA allosteric interactions.
- Findings align with experimental observations and offer insights into DNA mechanics.
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