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Nat Commun
2024 Mar 08;151:2149. doi: 10.1038/s41467-024-46447-w.
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Viscosity-dependent control of protein synthesis and degradation.
Chen Y
,
Huang JH
,
Phong C
,
Ferrell JE
.
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It has been proposed that the concentration of proteins in the cytoplasm maximizes the speed of important biochemical reactions. Here we have used Xenopus egg extracts, which can be diluted or concentrated to yield a range of cytoplasmic protein concentrations, to test the effect of cytoplasmic concentration on mRNA translation and protein degradation. We find that protein synthesis rates are maximal in ~1x cytoplasm, whereas protein degradation continues to rise to a higher optimal concentration of ~1.8x. We show that this difference in optima can be attributed to a greater sensitivity of translation to cytoplasmic viscosity. The different concentration optima could produce a negative feedback homeostatic system, where increasing the cytoplasmic protein concentration above the 1x physiological level increases the viscosity of the cytoplasm, which selectively inhibits translation and drives the system back toward the 1x set point.
Fig. 1: General properties of diluted and concentrated Xenopus egg extracts: effects on self-organization and cycling.
a Schematic view of protein synthesis and degradation. b Preparation of Xenopus egg extract, 2× concentrated retentate, and protein-depleted filtrate. c Protein concentration in extract, retentate, and filtrate. Concentrations were determined by Bradford assays. Data are from five extracts. Individual data points are overlaid with the means and standard errors. Source data are provided as a Source Data file. d SiR-tubulin staining (left) and SiR-tubulin fluorescence intensity as a function of time (right) in an extract after various dilutions. The starting material was a 1× extract, diluted with various proportions of filtrate, and imaged in a 96-well plate under mineral oil. All fields are shown at equal exposure. The fluorescence intensities shown on the right were quantified from the center 1/9 of the wells. e SiR-tubulin staining (left) and SiR-tubulin fluorescence intensity as a function of time (right) in an extract after various dilutions. The data were collected as in (d) except that the starting material was a 2× extract.
Fig. 2: The rate of mRNA translation is maximal at a cytoplasmic concentration of~1x.
a Titration of mRNA concentration for eGFP expression. The indicated concentration (2.5 µg/mL) was chosen for the experiments in (b–e). Data from n = 3 independent experiments. Data are presented as mean values ± SEM. b eGFP expression as a function of time for various dilutions of a 1× extract. c Translation rate as a function of cytoplasmic concentration. These are the directly-measured data from experiments where the eGFP mRNA concentration was kept constant and the translation machinery was proportional to the cytoplasmic concentration. Data are from n = 6 independent experiments for dilution from 1× extracts and n = 7 independent experiments for dilution from 2× retentates. Data are normalized relative to the translation rates at a cytoplasmic concentration of 1×. Means and standard errors are overlaid on the individual data points. In this and the subsequent panels, the darker green represents data from diluting 2× retentates and the lighter green from diluting 1× extract. d Inferred translation rates for the situation where the mRNA concentration as well as the ribosome concentration is proportional to the cytoplasmic concentration. The rates from (c) were multiplied by the relative cytoplasmic concentrations. Data are from n = 6 independent experiments for dilution from 1× extracts and n = 7 independent experiments for dilution from 2× retentates. Data are presented as mean values ± SEM. e Inferred translation rates for the situation where both the mRNA concentration and the ribosome concentration are kept constant at all dilutions. This represents an estimate of the apparent bimolecular rate constant for translation. The rates from (c) were divided by the relative cytoplasmic concentrations. Data are from n = 6 independent experiments for dilution from 1× extracts and n = 7 independent experiments for dilution from 2× retentates. Data are presented as mean values ± SEM. f TCA-precipitable 35S incorporation as a function of time for translation from endogenous mRNAs. Various dilutions of a 1× extract are shown. CHX denotes a 1× extract treated with 100 µg/mL cycloheximide. g Inferred translation rates for the situation where mRNA concentration is kept constant and ribosome concentration is proportional to the cytoplasmic concentration. The rates from (h) were divided by the relative cytoplasmic concentration. The gray data points are from CHX (100 µg/mL)-treated 1× extracts. Data are from n = 3 independent experiments for dilution from 1× extracts and n = 3 independent experiments for dilution from 2× retentates. Data are presented as mean values ± SEM. h Translation rate as a function of cytoplasmic concentration. These are the directly measured data from experiments where the 35S concentration was kept constant but both the (endogenous) mRNA concentration and translational machinery were proportional to the cytoplasmic concentration. Data are from n = 3 independent experiments for dilution from 1× extracts and n = 3 independent experiments for dilution from 2× retentates. Data are normalized relative to the translation rates at a cytoplasmic concentration of 1×. Means and standard errors are overlaid on the individual data points. i Inferred translation rates for the situation where both the mRNA concentration and the ribosome concentration are kept constant at all dilutions. The rates from (h) were divided twice by the relative cytoplasmic concentrations (i.e., by the relative concentration squared). Data are from n = 3 independent experiments for dilution from 1× extracts and n = 3 independent experiments for dilution from 2× retentates. Data are presented as mean values ± SEM. Source data for panels (a, d, and g) are provided as a Source Data file.
Fig. 3: The rate of protein degradation is maximal at cytoplasmic concentrations of~1.8×.
a Titration of substrate protein concentration for DQ-BSA degradation experiments. The indicated concentration (5 µg/mL) was chosen for the experiments in (b–e). Data from n = 3 independent experiments. Data are presented as mean values ± SEM. b DQ-BSA fluorescence as a function of time for various dilutions of a 1× extract. c Degradation rate as a function of cytoplasmic concentration. These are the directly-measured data from experiments where the DQ-BSA concentration was kept constant and the proteolysis machinery was proportional to the cytoplasmic concentration. The gray data points denoted MG132 are from 1× extracts treated with 200 µM MG132, a proteasome inhibitor. Data are from 4 experiments for dilution from 1× extracts and 4 experiments for dilution from 2× retentates. Data are normalized relative to the degradation rates at a cytoplasmic concentration of 1×. Means and standard errors are overlaid on the individual data points. In this and the subsequent panels, the darker purple represents data from diluting 2× retentates and the lighter purple from diluting 1× extract. d Inferred degradation rates for the situation where the substrate concentration as well as the proteasome concentration is proportional to the cytoplasmic concentration. The rates from (c) were multiplied by the relative cytoplasmic concentrations. Data are from n = 4 independent experiments for dilution from 1× extracts and n = 4 independent experiments for dilution from 2× retentates. Data are presented as mean values ± SEM. e Inferred degradation rates for the situation where both the substrate concentration and the proteasome concentration are kept constant at all dilutions. The rates from (c) were divided by the relative cytoplasmic concentrations. This represents an estimate of the apparent bimolecular rate constant for degradation. Data are from n = 4 independent experiments for dilution from 1× extracts and n = 4 independent experiments for dilution from 2× retentates. Data are presented as mean values ± SEM. f Degradation of securin-CFP as a function of time for various dilutions of a 1x extract. g Degradation rate as a function of cytoplasmic concentration. These are the directly-measured data from experiments where the securin-CFP concentration was kept constant but the proteasome concentration was proportional to the cytoplasmic concentration. Data are from 4 experiments for dilution from 1× extracts and 4 experiments for dilution from 2× retentates. Data are normalized relative to the degradation rates at a cytoplasmic concentration of 1×. Means and standard errors are overlaid on the individual data points. h Inferred degradation rate for the situation where both the substrate and proteasome concentrations are proportional to the cytoplasmic concentration. The rates from (g) were multiplied by the relative cytoplasmic concentrations. Data are from n = 4 independent experiments for dilution from 1× extracts and n = 4 independent experiments for dilution from 2× retentates. Data are presented as mean values ± SEM. i Inferred degradation rates for the situation where both the substrate and the proteasome concentration are kept constant at all dilutions. The rates from (g) were divided by the relative cytoplasmic concentrations. Data are from n = 4 independent experiments for dilution from 1× extracts and n = 4 independent experiments for dilution from 2× retentates. Data are presented as mean values ± SEM. Source data for panels (a, d, and h) are provided as a Source Data file.
Fig. 4: The effect of cytoplasmic concentration on diffusion, and the effect of Ficoll 70 on translation and protein degradation.
Fig. 4: The effect of cytoplasmic concentration on diffusion, and the effect of Ficoll 70 on translation and protein degradation.
Fig. 5: Homeostasis in a model of the effect of cytoplasmic concentration of translation and protein degradation.
a Plot of Eq. 2, which relates a bimolecular reaction rate to the relative cytoplasmic concentration, for various sizes of proteins. We assumed a = 0.018 nm-1 (from Fig. 4f). b Calculated optimal relative cytoplasmic concentration for proteins of different assumed sizes, again assuming a = 0.018 nm-1. c Fits of Eq. 2 to the experimental data for translation (green) and degradation (purple) as a function of cytoplasmic concentration, calculated assuming that both the substrate and enzyme varied with the cytoplasmic concentration. All of the data from Figs. 2d, h, and 3d, h were included in the fits. The
values are 0.92 for the translation data and 0.95 for the degradation data. The fitted values for the size of the proteins involved are 104 ± 2 nm (mean ± S.E.) for translation and 14 ± 1 nm (mean ± S.E) for degradation. The fitted optimal cytoplasmic concentrations are 1.07 ± 0.02 for translation and 8.1 ± 0.8 for degradation (mean ± S.E.).
Supplementary Fig. 1: Trihalo compound-stained PAGE gel of proteins from 1x
extract, filtrate, and 2x retentate.
a representative trihalo compound-stained PAGE gel showing a BSA standard and two
biological replicates of extract, retentate, and filtrate. The estimated protein
concentrations in mg/mL (using the BSA standard as a reference) for the extract,
retentate, and filtrate samples are shown in orange. However, it should be noted that the
trihalo compound used in staining the gel depends on tryptophan residues to fluoresce.
Since BSA has only 0.3% tryptophan residues (compared to 1% in proteins overall), the
protein concentrations in the extract, retentate, and filtrate samples are likely
overestimated. By Bradford assay the typical protein concentration of extracts was 50-70
mg/mL.
Supplementary Fig. 2: Using nominal vs. measured protein concentrations to
compare translation rates in different experiments.
a Translation rate as a function of nominal cytoplasmic concentration. These are the
directly-measured data from experiments where the eGFP mRNA concentration was kept
constant and the translation machinery was proportional to the cytoplasmic concentration.
Data points from same experiment are connected. Data are normalized relative to the
translation rates at a cytoplasmic concentration of 1x. Relative cytoplasmic concentration
are assumed to be 1.0 for 1x extract and 2.0 for the 2x retentate.
b Translation rate as a function of measured protein concentration. These are the directlymeasured data from experiments where the eGFP mRNA concentration was kept constant
and the translation machinery was proportional to the cytoplasmic concentration. Data
points from same experiment are connected. Data are normalized relative to the
translation rates at a cytoplasmic concentration of 1x. Protein concentrations were
measured for the starting extract and the retentate, instead of assuming that they were 1x
and 2x. Protein concentrations for the dilutions were calculated from these the respective
starting material. Note that the experiment-to-experiment variation is similar regardless
of whether nominal or measured protein concentrations are used.
Source data are provided as a Source Data file.
Supplementary Fig. 3: Probability density of effective diffusion in various
cytoplasmic concentrations.
Histograms of the effective diffusion coefficient for 100 nm PEGylated polystyrene
beads are plotted for extracts with various cytoplasmic dilutions, with offsets. The
cytoplasmic concentration, coefficients of variation (C.V.), and p-values for the DIP test
of unimodality are shown next to each curve.
Source data are provided as a Source Data file.
Supplementary Fig. 4: The effect of cytoplasmic concentration on translation and
protein degradation in a Michaelis-Menten model.
a Plot of Eq. S20, which relates a bimolecular reaction rate to the relative cytoplasmic
concentration, for various sizes of proteins, assuming that Michaelis-Menten kinetics are
relevant. We assumed a = 0.018 nm-1 (from Fig. 4f) and arbitrarily chose the following
values for the parameters: �-[1] = 0.01 (so that the reaction was not close to saturation)
and �#0#[1] = �[1] = �'-[1] = �$[1] = 1 (so that the reaction was neither close to the
reaction limit nor to the diffusion limit).
b Plot of Eq. S20 for various assumed values of k2, as indicated. Larger values make the
system more diffusion-controlled and smaller values make it more reaction-controlled.
We again assumed a = 0.018 nm-1 and arbitrarily chose the following values for the
parameters: �-[1] = 0.01, �#0#[1] = �[1] = �'-[1], and the protein size to be 100 nm.
The y-axis scales are different in panels (a) and (b).