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Nonlinear mixed-effects models to analyze actin dynamics in dendritic spines.

Gioia Di Credico1, Silvia Pelucchi2, Francesco Pauli1

  • 1Department of Economics, Business, Mathematics and Statistics, Università degli Studi di Trieste, Trieste, Italy.

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|February 17, 2025
PubMed
Summary

We developed a new statistical model for Fluorescence Recovery After Photobleaching (FRAP) data, addressing pseudoreplication in actin dynamics studies. This method reveals increased actin cytoskeleton instability in dendritic spines when CAP2 is downregulated.

Keywords:
Actin dynamicsAsymptotic exponential growth curveCAP2FRAP in dendritic spinesHierarchical modelsPseudoreplicationShiny app

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Area of Science:

  • Neuroscience
  • Cell Biology
  • Biophysics

Background:

  • Fluorescence Recovery After Photobleaching (FRAP) is crucial for studying actin dynamics in dendritic spines.
  • Traditional statistical methods for FRAP data often ignore the nested structure (spine/neuron/culture), leading to pseudoreplication.
  • Existing models typically use one-phase association, limiting comprehensive analysis.

Purpose of the Study:

  • To propose a novel statistical approach for analyzing FRAP data that accounts for its nested structure.
  • To evaluate the effect of actin-binding protein CAP2 downregulation on actin dynamics in dendritic spines.
  • To develop a user-friendly tool for applying these advanced statistical models.

Main Methods:

  • Development of a nonlinear mixed-effects model integrating one-phase association with nested data structures.
  • Modeling of heteroscedasticity and time dependence within FRAP data.
  • Application of the model to FRAP data from experiments involving CAP2 downregulation.
  • Creation of an R-based Shiny application (FRApp) for accessible model fitting.

Main Results:

  • The proposed model successfully integrates the nested structure of FRAP data, addressing pseudoreplication.
  • Downregulation of CAP2 was associated with increased instability of the actin cytoskeleton in dendritic spines.
  • The model captured differential effects on variance, highlighting increased instability in CAP2-downregulated spines.
  • FRApp provides a non-programming interface for complex FRAP data analysis.

Conclusions:

  • The nonlinear mixed-effects model offers a robust framework for analyzing FRAP data, respecting its inherent structure.
  • CAP2 downregulation significantly impacts actin dynamics, leading to increased cytoskeletal instability in dendritic spines.
  • The developed FRApp tool democratizes advanced statistical analysis for FRAP experiments.