Manifold-constrained nucleus-level denoising diffusion model for structure-based drug design

S Shengchao Liu (Department of Electrical Engineering and Computer Sciences (EECS)) L Liang Yan (Department of Chemistry) W Weitao Du (Alibaba DAMO Academy) W Weiyang Liu (Max Planck Institute for Intelligent Systems) Z Zhuoxinran Li (Department of Human Geography) H Hongyu Guo C Christian Borgs (Bakar Institute of Digital Materials for the Planet, College of Computing, Data Science, and Society) J Jennifer Chayes (Department of Electrical Engineering and Computer Sciences (EECS)) A Anima Anandkumar (Department of Computing and Mathematical Sciences (CMS))

Abstract

AI models have shown great potential in structure-based drug design, generating ligands with high binding affinities. However, existing models have often overlooked a crucial physical prior: Atoms must maintain a minimum pairwise distance to avoid atomic collision, a phenomenon governed by the balance of attractive and repulsive forces. To mitigate such atomic collisions, we propose NucleusDiff. It enforces spatial distance constraints between atomic nuclei and auxiliary mesh points placed on a spherical surface around each atom, approximating van der Waals boundaries to reduce atomic collisions. We quantitatively evaluate NucleusDiff using the CrossDocked2020 dataset and a COVID-19 therapeutic target, demonstrating that NucleusDiff reduces collision rate by up to 100.00% and enhances binding affinity by up to 22.16%, surpassing state-of-the-art models for structure-based drug design. We also provide qualitative analysis through manifold sampling, visually confirming the effectiveness of NucleusDiff in reducing atomic collisions and improving binding affinities.

Article Details

Volume / Issue Vol. 122, Issue 41
Published October 14, 2025
ISSN 0027-8424
Publisher National Academy of Sciences

Authors (9)

S

Shengchao Liu

Department of Electrical Engineering and Computer Sciences (EECS)

L

Liang Yan

Department of Chemistry

W

Weitao Du

Alibaba DAMO Academy

W

Weiyang Liu

Max Planck Institute for Intelligent Systems

Z

Zhuoxinran Li

Department of Human Geography

H

Hongyu Guo

C

Christian Borgs

Bakar Institute of Digital Materials for the Planet, College of Computing, Data Science, and Society

J

Jennifer Chayes

Department of Electrical Engineering and Computer Sciences (EECS)

A

Anima Anandkumar

Department of Computing and Mathematical Sciences (CMS)