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Abstract

Allostery is a fundamental biophysical mechanism that underlies cellular sensing, signaling, and metabolism. Yet a quantitative understanding of allosteric genotype-phenotype relationships remains elusive. Here we report the large-scale measurement of the genotype-phenotype landscape for an allosteric protein: the lac repressor from Escherichia coli, LacI. Using a method that combines long-read and short-read DNA sequencing, we quantitatively measure the dose-response curves for nearly 105 variants of the LacI genetic sensor. The resulting data provide a quantitative map of the effect of amino acid substitutions on LacI allostery and reveal systematic sequence-structure-function relationships. We find that in many cases, allosteric phenotypes can be quantitatively predicted with additive or neural-network models, but unpredictable changes also occur. For example, we were surprised to discover a new band-stop phenotype that challenges conventional models of allostery and that emerges from combinations of nearly silent amino acid substitutions.

In-depth summary

Claude Sonnet 4.6 · xhigh effort · 8 Nov 2026 · from the full text of version 1 (11 Jul 2020) · CC0 1.0

Dose-response curves for 62 472 LacI coding sequences train a recurrent network for EC50 and G∞, enable EC50 targeting within 1.25-fold, and reveal band-stop sensors.

The allosteric constants of LacI depend on residues spread across the protein, so sequence effects are hard to predict. The paper describes its landscape as the first quantitative dataset large enough to train a deep neural network for allosteric dose-response curves, with uncertainty estimates where earlier genotype-to-phenotype networks gave point estimates.

Key results

  1. ShownA random-mutagenesis library of lacI was phenotyped in one pooled experiment. It spans a wide range of dose-response behaviour, with EC50 varying over more than three orders of magnitude.

    62 472 distinct coding sequences encoding 60 398 amino acid sequences, averaging 4.4 amino acid substitutions per sensor. EC50 ranged from under 1 to over 1000 μmol/L, and G0 and G∞ covered more than a 35-fold range. Synonymous SNPs had no measurable effect (Kolmogorov-Smirnov p = 0.17 to 0.71 for the Hill parameters). · Mapping the genotype-phenotype landscape; Precise engineering of genetic sensors; Comparison of synonymous mutations

  2. ShownA recurrent neural network with variational Bayesian uncertainty predicts held-out EC50 and G∞ well and G0 less well. It adds estimates for sensors whose EC50 lies near or above the highest ligand concentration measured.

    Trained on 47 462 quality-filtered variants (80% training split). The recurrent model generally gave higher R² than a feed-forward model for each Hill parameter across ten cross-validation tests. The text gives no R² values. Error and uncertainty grow with distance from wild type. The Hill parameter n was not modelled. · DNN predicts allosteric dose-response; Deep neural network (DNN) modeling; Figure legends

  3. ShownSingle-substitution effects were mapped onto the LacI structure, and EC50 effects combine almost log-additively across substitutions. The authors read this as a free-energy balance with additive contributions from many residues.

    Dose-response curves were obtained for 1991 of 2110 SNP-accessible substitutions (964 measured, 1027 DNN-predicted). 38% measurably affect the curve. About 9% and 27% shift EC50 more than 5-fold or 2-fold. Only 0.57% (12 of 2101) of double substitutions deviate more than 2.5-fold from log-additivity. · Impact of substitutions on allostery; Analysis of single-substitution data; Figure legends

  4. ShownChoosing library members by target dose-response parameters yielded sensors whose flow-cytometry curves matched the targets. EC50 was hit within 1.25-fold, while accuracy for G0 and G∞ ranged from 1.12-fold to 4.3-fold and depended on growth conditions.

    For 31 sensors with near-wild-type G0 and G∞, the RMS difference in log10(EC50) between sequencing and cytometry was 0.16 (1.45-fold) for EC50 above 1 μmol/L, and 0.097 (1.25-fold) after bias correction. Accuracy for targeting G0 and G∞ ranged from 1.12-fold (near the wild-type G∞ level) up to 4.3-fold (near the wild-type G0 level). About 120 sensors were verified. · Precise engineering of genetic sensors; Dose-response curve verification; Figure legends

  5. ShownThe landscape contains inverted sensors (G0 > G∞) and sensors with band-stop or band-pass curves. The sets are genetically diverse. A band-stop phenotype arises from two substitutions that are individually sigmoidal, so such phenotypes can be readily accessible.

    About 230 inverted sensors (0.35% of the library). 43 strongly inverted sensors yielded 10 associated substitutions, yet 51% carry none of them. Band-stop sensors make up nearly 0.2% of the library. 13 band-stop and 3 band-pass sensors were verified by flow cytometry. R195H/G265D gives band-stop while each single substitution is sigmoidal. · Precise engineering of genetic sensors; Novel sensor phenotypes; Identification of high-frequency substitutions…; Figure legends

Methods, data and reproducibility

A barcoded lacI mutant library was grown in 24 chemical environments (12 IPTG concentrations, with and without tetracycline). Barcode sequencing gave per-variant fitness, and Bayesian Hill-equation and Gaussian-process models turned fitness into dose-response curves. Selected sensors were re-tested by flow cytometry, and a recurrent neural network was trained on the Hill parameters.

  • Pooled lacI sensor library, long-read sequencing of coding sequences and barcodes plus barcode sequencing across 24 environments and four timepoints · E. coli · n = 62 472 coding sequences; 47 462 variants used for DNN modelling · PRJNA643436
  • Flow cytometry verification of re-synthesized sensors from the library · E. coli · n = approximately 120 sensors
  • Calibration sensors linking fitness with tetracycline to YFP output · E. coli · n = 9 sensors
  • Library and verification plasmid sequences · E. coli · MT702633 (Library Plasmid); MT702634 (Verification Plasmid)
  • LacI crystal structures used for mapping substitutions (DNA-binding and ligand-binding conformations) · E. coli (LacI) · 1LBG; 1LBH
Methods & tools
PacBio Sequel II HiFi sequencing, Illumina HiSeqX, Bartender1.1, PyStan (MCMC), Gaussian process model, Hill equation model, recurrent neural network (LSTM), PyTorch, Bayes-by-backprop, hypergeometric test, flow cytometry (Attune NxT), FACS (Sony SH800S)
Software & environment
Bartender1.1 is named with its version. PyStan and PyTorch are named without versions. Analysis code is in C# and Python. No container is stated.
Limitations (5)
  • Substitutions that sharply raise G0 were probably removed by FACS during library preparation, so 119 of 2110 SNP-accessible substitutions are missing. For 83 of them, G0 was set from earlier published findings, not measured. · stated by the authors
  • The network predicts G0 less accurately than EC50 and G∞, owing to larger proportional measurement uncertainty and few sensors with substantial G0 changes. Prediction error and uncertainty rise with substitution count. · stated by the authors
  • Accuracy for engineering G0 and G∞ depends on growth conditions, especially tetracycline concentration, because tetracycline's fitness effect is nonlinear. · stated by the authors
  • The work covers one protein in one host strain and plasmid design. Dose-response curves are inferred from fitness, calibrated on 9 sensors, and only about 120 of 62 472 sensors were checked by flow cytometry. · noted in this summary
  • The explanations for inverted and band-stop sensors (for example entropic free-energy changes) are proposed from substitution-enrichment statistics and were not tested biophysically. · noted in this summary

Read this if you work on deep mutational scanning of allosteric proteins, sequence-to-function neural networks with uncertainty, or building biosensors with specified dose-response curves.

Citations
63
FWCI
3.29
Field percentile
top 5%

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