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Proteins show rotational as well as lateral diffusion across the membrane. The lateral diffusion of proteins was confirmed through the cell fusion experiment where mouse and human cells were fused, resulting in hybrid cells. When the human and mouse cells fused, the specific membrane proteins on human and mouse cells were marked with the red and green-fluorescent markers, respectively. Initially, the red and green fluorescence was located on the respective hemisphere of the cell. As time...
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The receptor occupancy theory connects a drug's response to the number of occupied receptors. With higher drug concentrations, more receptors are occupied, leading to increased responses. The formation of drug-receptor complexes involves association and dissociation rates, which reach equilibrium when the forward and backward reactions are equal. The equilibrium association constant (Ka) and its inverse, the equilibrium dissociation constant (Kd), indicate drug affinity. Higher Ka and lower...
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Diffusion is the passive movement of substances down their concentration gradients—requiring no expenditure of cellular energy. Substances, such as molecules or ions, diffuse from an area of high concentration to an area of low concentration in the cytosol or across membranes. Eventually, the concentration will even out, with the substance moving randomly but causing no net change in concentration. Such a state is called dynamic equilibrium, which is essential for maintaining overall...
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Updated: Aug 5, 2025

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Maximum likelihood-based estimation of diffusion coefficient is quick and reliable method for analyzing estradiol

Geza Makkai1,2, Istvan M Abraham1,3, Klaudia Barabas1,3

  • 1Institute of Physiology, Medical School, University of Pécs, Pécs, Hungary.

Frontiers in Neuroinformatics
|March 27, 2023
PubMed
Summary

Maximum Likelihood Estimation (MLE) offers superior accuracy for calculating diffusion coefficients compared to Mean Square Displacement (MSD) analysis. This finding is crucial for understanding non-classical estradiol actions on membrane receptors.

Keywords:
MLEdiffusion coefficientmaximum likelihoodmean square displacementreceptor movements

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Area of Science:

  • Cell biology
  • Neuroscience
  • Biophysics

Background:

  • Non-classical estradiol actions on membrane receptors are poorly understood.
  • Receptor dynamics, specifically lateral diffusion, are key indicators of membrane receptor function.
  • Diffusion coefficients are essential for characterizing receptor movement.

Purpose of the Study:

  • To compare the accuracy of Maximum Likelihood Estimation (MLE) and Mean Square Displacement (MSD) methods for calculating diffusion coefficients.
  • To investigate the impact of estradiol on receptor dynamics.
  • To determine the optimal method for analyzing receptor movement in cell membranes.

Main Methods:

  • Applied both MSD and MLE to calculate diffusion coefficients.
  • Extracted single particle trajectories from simulations.
  • Tracked alpha-amino-3-hydroxy-5-methyl-4-isoxazolepropionic acid (AMPA) receptor dynamics in live estradiol-treated differentiated PC12 (dPC12) cells.

Main Results:

  • MLE demonstrated superior performance over MSD in calculating diffusion coefficients.
  • MLE is particularly advantageous when dealing with significant localization errors or slow receptor movements.
  • The study provides a more reliable method for analyzing receptor dynamics.

Conclusions:

  • Maximum Likelihood Estimation (MLE) is the preferred method for calculating diffusion coefficients due to its enhanced accuracy and robustness.
  • This improved methodology will facilitate a deeper understanding of the molecular mechanisms underlying non-classical estradiol actions.
  • Accurate characterization of receptor dynamics is vital for advancing research in neurobiology and cell signaling.