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Updated: Sep 13, 2025

Unraveling Entropic Rate Acceleration Induced by Solvent Dynamics in Membrane Enzymes

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Published on: January 16, 2016

Entropies of the Classical Dimer Model.

John C Baker¹, Marilyn F Bishop², Tom McMullen²

¹CACI International Inc., 16480 Commerce Dr., King George, VA 22485-5860, USA.

Entropy (Basel, Switzerland)

|July 29, 2025

Summary

This summary is machine-generated.

This study explores how molecule geometry affects biological processes using a dimer model. Geometric effects on entropy and charge inversion are significant, unlike simpler models.

Keywords:

DNA charge biological physics cruciform matrices dimer model entropy pfaffians trace theorems

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Sedimentation Equilibrium of a Small Oligomer-forming Membrane Protein: Effect of Histidine Protonation on Pentameric Stability

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Published on: April 2, 2015

Area of Science:

Statistical mechanics
Biophysics
Physical chemistry

Background:

Biological processes frequently involve molecular attachment/detachment to substrates.
Understanding these dynamics requires analyzing free energy, equilibrium, and reaction rates.
Existing models may not fully capture geometric influences on molecular interactions.

Purpose of the Study:

To investigate the geometric effects of dimers on free energy in biological systems.
To analyze the consequences of dimer geometry on entropy and charge inversion.
To compare the dimer model with simpler lattice gas models.

Main Methods:

Utilized a simplified Fisher's derivation of the partition function for a 2D dimer model.
Focused on the dimer model at filling factor ν=1, accounting for site blocking.
Applied the model to dimers adsorbing on a DNA double helix.

Main Results:

Identified physical consequences of dimer geometry on entropy not found in simpler theories.
Demonstrated that dimer geometry results in persistently nonzero entropy.
Observed significant charge inversion as binding force increases relative to thermal energy.

Conclusions:

Dimer geometry plays a crucial role in molecular attachment/detachment dynamics.
The dimer model provides a more accurate description of entropy and charge inversion compared to simple lattice gas models.
This research offers insights into molecular interactions on substrates like DNA.