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Peer-reviewedCC BY 4.0Nature Communications

Predicting protein electrostatics with protein language models

Abstract

Ionization states are crucial to protein function, yet predicting their equilibrium constants remains challenging. Here we present KaML-ESMs, sequence-based neural networks built on the ESM protein language models and trained on the GAINES-augmented PKAD-3r dataset. KaML-ESM2/ESMC outperform alternative approaches across four benchmarks, achieving root-mean-square errors of about 0.5 units for Asp/Glu/His/Cys/Tyr/Lys residues in native proteins. Performance degrades on 89 buried engineered mutations lacking evolutionary support, revealing a limitation that supervised training may help overcome. These results suggest that protein sequence, through its evolutionary context, encodes not only structure and function but also, indirectly, electrostatic characteristics. Applying KaML-ESM2 to the entire human proteome, we show that predicted p K a values can identify functional sites and infer catalytic mechanisms. We offer KaML, a sequence-based p K a prediction platform supporting biological exploration, protein engineering, and biomolecular simulation. With further development, GAINES could provide a general framework for addressing data scarcity in machine learning.

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BibTeX
@article{shen2026predicting,
  title = {{Predicting protein electrostatics with protein language models}},
  author = {Mingzhe Shen and Guy W. Dayhoff II and Daniel Kortzak and Jana Shen},
  journal = {Nature Communications},
  year = {2026},
  month = oct,
  doi = {10.1038/s41467-026-78406-y},
  url = {https://www.nature.com/articles/s41467-026-78406-y},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Predicting protein electrostatics with protein language models
AU  - Mingzhe Shen
AU  - Guy W. Dayhoff II
AU  - Daniel Kortzak
AU  - Jana Shen
PY  - 2026
DA  - 2026/10/24
JO  - Nature Communications
DO  - 10.1038/s41467-026-78406-y
UR  - https://www.nature.com/articles/s41467-026-78406-y
AB  - Ionization states are crucial to protein function, yet predicting their equilibrium constants remains challenging. Here we present KaML-ESMs, sequence-based neural networks built on the ESM protein language models and trained on the GAINES-augmented PKAD-3r dataset. KaML-ESM2/ESMC outperform alternative approaches across four benchmarks, achieving root-mean-square errors of about 0.5 units for Asp/Glu/His/Cys/Tyr/Lys residues in native proteins. Performance degrades on 89 buried engineered mutations lacking evolutionary support, revealing a limitation that supervised training may help overcome. These results suggest that protein sequence, through its evolutionary context, encodes not only structure and function but also, indirectly, electrostatic characteristics. Applying KaML-ESM2 to the entire human proteome, we show that predicted p K a values can identify functional sites and infer catalytic mechanisms. We offer KaML, a sequence-based p K a prediction platform supporting biological exploration, protein engineering, and biomolecular simulation. With further development, GAINES could provide a general framework for addressing data scarcity in machine learning.
SN  - 2041-1723
ER  -