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PreprintCC BYChemRxiv

LANGER: Lanthanide Affinity Network via Graph and Evolutionary Representations

4 affiliations
  1. 1Bredesen Center
  2. 2University of Tennessee
  3. 3Department of Chemical and Biomolecular Engineering
  4. 4Department of Mathematics

Abstract

The transition to sustainable energy relies heavily on rare earth elements (REEs), yet their separation remains a critical industrial bottleneck due to their nearly identical physicochemical properties. The discovery of lanmodulin (LanM), a highly selective REE-binding protein, has inspired bio-based separation strategies; however, predicting binding affinity between different LanM variants and REEs remains a significant computational challenge. Here, we present LANGER, a multimodal deep learning framework for predicting REE protein binding affinity (Kd) by synchronously integrating global evolutionary context, continuous ionic chemistry, and local three-dimensional coordinate geometry. Our architecture combines ESM2 protein sequence embeddings, REE physicochemical descriptions, and geometric graph learning (GGL) features derived from topologies extracted from protein-ion complexes. Using a comprehensive dataset of 616 evaluated LanM homologs against 15 REE ions, we demonstrate the robustness of this framework across two rigorous evaluation settings. In a cluster-based validation analysis designed to test extrapolation to held-out LanM sequence clusters, LANGER achieved a root mean square error (RMSE) of 0.212 and a concordance index (CI) of 0.757. More importantly, in a rigorous evaluation protocol that completely excludes individual ions from the training phase, the fully integrated multimodal framework achieved high predictive accuracy (RMSE = 0.119, Pearson correlation coefficient r = 0.860, CI = 0.800), demonstrating its unique ability to transfer learned physicochemical trends to unseen lanthanide elements. This work establishes a scalable, computationally accurate structure recognition platform for the discovery and design of data-driven REEselective proteins.

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BibTeX
@misc{nguyen2026langer,
  title = {{LANGER: Lanthanide Affinity Network via Graph and Evolutionary Representations}},
  author = {Trung Nguyen and Christopher Cotter and Seunghyun Ryu and Cong T. Trinh and Duc Duy Nguyen},
  howpublished = {ChemRxiv},
  year = {2026},
  month = sep,
  doi = {10.26434/chemrxiv.15009150/v1},
  url = {https://chemrxiv.org/doi/full/10.26434/chemrxiv.15009150/v1},
  note = {CC BY},
}
RIS
TY  - UNPB
TI  - LANGER: Lanthanide Affinity Network via Graph and Evolutionary Representations
AU  - Trung Nguyen
AU  - Christopher Cotter
AU  - Seunghyun Ryu
AU  - Cong T. Trinh
AU  - Duc Duy Nguyen
PY  - 2026
DA  - 2026/09/21
PB  - ChemRxiv
DO  - 10.26434/chemrxiv.15009150/v1
UR  - https://chemrxiv.org/doi/full/10.26434/chemrxiv.15009150/v1
AB  - The transition to sustainable energy relies heavily on rare earth elements (REEs), yet their separation remains a critical industrial bottleneck due to their nearly identical physicochemical properties. The discovery of lanmodulin (LanM), a highly selective REE-binding protein, has inspired bio-based separation strategies; however, predicting binding affinity between different LanM variants and REEs remains a significant computational challenge. Here, we present LANGER, a multimodal deep learning framework for predicting REE protein binding affinity (Kd) by synchronously integrating global evolutionary context, continuous ionic chemistry, and local three-dimensional coordinate geometry. Our architecture combines ESM2 protein sequence embeddings, REE physicochemical descriptions, and geometric graph learning (GGL) features derived from topologies extracted from protein-ion complexes. Using a comprehensive dataset of 616 evaluated LanM homologs against 15 REE ions, we demonstrate the robustness of this framework across two rigorous evaluation settings. In a cluster-based validation analysis designed to test extrapolation to held-out LanM sequence clusters, LANGER achieved a root mean square error (RMSE) of 0.212 and a concordance index (CI) of 0.757. More importantly, in a rigorous evaluation protocol that completely excludes individual ions from the training phase, the fully integrated multimodal framework achieved high predictive accuracy (RMSE = 0.119, Pearson correlation coefficient r = 0.860, CI = 0.800), demonstrating its unique ability to transfer learned physicochemical trends to unseen lanthanide elements. This work establishes a scalable, computationally accurate structure recognition platform for the discovery and design of data-driven REEselective proteins.
ER  -