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Updated: Jul 18, 2025

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Persistent spectral theory-guided protein engineering.

Yuchi Qiu1, Guo-Wei Wei1,2,3

  • 1Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA.

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|August 28, 2023
PubMed
Summary
This summary is machine-generated.

This study introduces TopFit, a novel framework using topology to enhance protein engineering by analyzing protein structure and sequence. TopFit captures shape evolution and sequence differences to predict protein fitness more accurately.

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Area of Science:

  • Computational Biology
  • Protein Engineering
  • Structural Bioinformatics
  • Machine Learning

Background:

  • Protein engineering optimizes protein function but is limited by experimental screening capacity.
  • Machine learning accelerates protein engineering, yet 3D structural complexity impedes deep mutational screening.
  • Existing topological methods like persistent homology struggle to capture dynamic shape changes in protein data.

Purpose of the Study:

  • To develop a novel framework, Topology-offered protein Fitness (TopFit), to integrate protein sequence and structure information for improved fitness prediction.
  • To address limitations of current methods in capturing mutation-induced topological and shape variations in proteins.
  • To enhance the accuracy of predicting protein fitness landscapes through advanced topological and machine learning approaches.

Main Methods:

  • Developed the TopFit framework, integrating persistent spectral theory and a novel topological Laplacian.
  • Employed an ensemble regression strategy combining topological invariants, shape evolution analysis, and sequence embeddings.
  • Utilized two auxiliary sequence embeddings to capture sequence disparity alongside structural topological features.

Main Results:

  • TopFit successfully captures mutation-induced topological invariants and shape evolution within protein fitness landscapes.
  • The framework integrates sequence and structural topological information for comprehensive protein fitness prediction.
  • Evaluated on 34 benchmark datasets with 128,634 variants, demonstrating robust performance across diverse protein structures and dataset sizes.

Conclusions:

  • The TopFit framework offers a significant advancement in protein engineering by leveraging topological data analysis.
  • TopFit complements existing sequence and structure-based embeddings, providing a more holistic view of protein fitness.
  • This approach holds promise for accelerating the design and optimization of proteins with desired functionalities.