A scale-invariant log-normal droplet size distribution below the critical concentration for protein phase separation

  1. Tommaso Amico
  2. Samuel Toluwanimi Dada
  3. Andrea Lazzari
  4. Michaela Brezinova
  5. Antonio Trovato
  6. Michele Vendruscolo  Is a corresponding author
  7. Monika Fuxreiter  Is a corresponding author
  8. Amos Maritan  Is a corresponding author
  1. Department of Physics and Astronomy, University of Padova, Italy
  2. Centre for Misfolding Diseases, Department of Chemistry, University of Cambridge, United Kingdom
  3. National Institute for Nuclear Physics (INFN), Padova Section, Italy
  4. Department of Biomedical Sciences, University of Padova, Italy
6 figures and 4 additional files

Figures

Determination of the critical exponents for FUS of the scaling invariance.

Determination of the exponent φ for FUS (A) and SNAP-tagged FUS (C). The ratios of the average moments of the droplet sizes (<sk+1>/<sk > , at k = 0.5, 1, 1.5, 2, Equation 4) are represented at …

Log-normal behaviour of FUS and SNAP-tagged FUS size distributions below the critical concentration.

Variation of the size distribution with protein concentration: ln s0 (A) and σ (B). lns0 and σ (inset) were computed for FUS (blue) and SNAP-tagged FUS (red) using Equation 11. Error bars (in inset …

Estimation of the critical concentration of FUS using the scale invariance.

Critical concentration of FUS (5.0 ± 0.2 μM) (A) and SNAP-tagged FUS (5.4 ± 0.4 μM) (B). The scaling model predicts that the function of the moments plotted versus the concentration ρ becomes a …

Collapse of the droplet size distributions of FUS as predicted by the scale invariance.

If the scaling ansatz of Equation 2 holds, the standard deviation σ of the log-normal distribution should not depend on the distance from the critical concentration, and a collapse should be …

Estimation of the critical concentration of α-synuclein using the scale invariance.

(A) Determination of the critical exponent φ. The ratios of the average moments of the droplet sizes (<sk+1>/<sk>, at k = 0.25, 0.75, 1.25, 1.75, Equation 4) are represented at various distances |ρ~|

The droplet size distribution is stationary below the critical concentration.

(A) Images of α-synuclein droplets at increasing concentrations of α-synuclein. (B, C) After an initial transient of 5 min, the droplet size distributions remain approximately stationary below the …

Additional files

Supplementary file 1

Table S1.

Size distributions of FUS and SNAP-FUS condensates below their critical concentrations.

https://cdn.elifesciences.org/articles/94214/elife-94214-supp1-v1.xlsx
Supplementary file 2

Table S2.

Size distributions of α-synuclein condensates below their critical concentration.

https://cdn.elifesciences.org/articles/94214/elife-94214-supp2-v1.xlsx
Supplementary file 3

Table S.

Size distributions of α-synuclein condensates at 50 μM concentration as a function of the time.

https://cdn.elifesciences.org/articles/94214/elife-94214-supp3-v1.xlsx
MDAR checklist
https://cdn.elifesciences.org/articles/94214/elife-94214-mdarchecklist1-v1.docx

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