Results 21 to 30 of about 214 (64)

Advancing Design Strategy of PROTACs for Cancer Therapy

MedComm, Volume 6, Issue 7, July 2025.
A comprehensive update on the PROTAC design, and highlighting the role of artificial intelligence in the PROTAC design for cancer therapy. ABSTRACT Proteolysis targeting chimeras (PROTACs) have emerged as a groundbreaking class of anticancer therapeutics.
Hang Luo, Yuan Tian, Razack Abdullah, Baoting Zhang, Yuan Ma, Ge Zhang   +5 more
wiley   +1 more source

The birational geometry of GIT quotients

Bulletin of the London Mathematical Society, Volume 57, Issue 7, Page 1952-1967, July 2025.
Abstract Geometric invariant theory (GIT) produces quotients of algebraic varieties by reductive groups. If the variety is projective, this quotient depends on a choice of polarisation; by work of Dolgachev–Hu and Thaddeus, it is known that two quotients of the same variety using different polarisations are related by birational transformations.
Ruadhaí Dervan, Rémi Reboulet
wiley   +1 more source

On the stack of 0‐dimensional coherent sheaves: Motivic aspects

Bulletin of the London Mathematical Society, Volume 57, Issue 6, Page 1607-1649, June 2025.
Abstract Let X$X$ be a variety. In this survey, we study (decompositions of) the motivic class, in the Grothendieck ring of stacks, of the stack Cohn(X)$\mathcal {C}\hspace{-2.5pt}{o}\hspace{-1.99997pt}{h}^n(X)$ of 0‐dimensional coherent sheaves of length n$n$ on X$X$. To do so, we review the construction of the support map Cohn(X)→Symn(X)$\mathcal {C}\
Barbara Fantechi, Andrea T. Ricolfi
wiley   +1 more source

Parabolic subgroups in characteristics 2 and 3

Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract This text brings to an end the classification of non‐reduced parabolic subgroups in positive characteristic, especially 2 and 3: they are all obtained as intersections of parabolics having maximal reduced part. We prove this result and deduce a few geometric consequences on rational projective homogeneous varieties.
Matilde Maccan
wiley   +1 more source

Current Advances in Genome Modeling Across Length Scales

WIREs Computational Molecular Science, Volume 15, Issue 3, May/June 2025.
ABSTRACT The physical organization of DNA within the nucleus is fundamental to a wide range of biological processes. The experimental investigation of the structure of genomic DNA remains challenging due to its large size and hierarchical arrangement. These challenges present considerable opportunities for combined experimental and modeling approaches.
Eric R. Schultz, Jay L. Kaplan, Yiheng Wu, Soren Kyhl, Rebecca Willett, Juan J. de Pablo   +5 more
wiley   +1 more source

InstaMap: instant‐NGP for cryo‐EM density maps

Acta Crystallographica Section D, Volume 81, Issue 4, Page 147-169, April 2025.
Cryo‐EM density‐map inference, with fixed pose and contrast transfer function, using a multi‐resolution hash‐encoding framework called instant‐NGP, is described, together with its extension to heterogeneity inference by bending space with a per‐image vector field.Despite the parallels between problems in computer vision and cryo‐electron microscopy ...
Geoffrey Woollard, Wenda Zhou, Erik H. Thiede, Chen Lin, Nikolaus Grigorieff, Pilar Cossio, Khanh Dao Duc, Sonya M. Hanson   +7 more
wiley   +1 more source

Recent Advances in Machine Learning‐Assisted Multiscale Design of Energy Materials

Advanced Energy Materials, Volume 15, Issue 9, March 4, 2025.
This review highlights recent advances in machine learning (ML)‐assisted multiscale design of energy materials, currently achievable through generative structure prediction, the discovery of complex atomic structure–property relationships, accelerated prediction of diverse material and interface properties, deeper insights into microstructure effects ...
Bohayra Mortazavi
wiley   +1 more source

Equivariant birational types and derived categories

Mathematische Nachrichten, Volume 297, Issue 11, Page 4333-4355, November 2024.
Abstract We investigate equivariant birational geometry of rational surfaces and threefolds from the perspective of derived categories.
Christian Böhning, Hans‐Christian Graf von Bothmer, Yuri Tschinkel   +2 more
wiley   +1 more source

From 3D point‐cloud data to explainable geometric deep learning: State‐of‐the‐art and future challenges

WIREs Data Mining and Knowledge Discovery, Volume 14, Issue 6, November/December 2024.
From point‐cloud data to explainable geometric learning. Abstract We present an exciting journey from 3D point‐cloud data (PCD) to the state of the art in graph neural networks (GNNs) and their evolution with explainable artificial intelligence (XAI), and 3D geometric priors with the human‐in‐the‐loop. We follow a simple definition of a “digital twin,”
Anna Saranti, Bastian Pfeifer, Christoph Gollob, Karl Stampfer, Andreas Holzinger   +4 more
wiley   +1 more source

Deep learning methods for protein structure prediction

MedComm – Future Medicine, Volume 3, Issue 3, September 2024.
This review provides an overview of traditional and modern methods for protein structure prediction and their characteristics and introduces the groundbreaking network features of the AlphaFold family model. We summarize the applications of different bioinformatics databases and various models based on deep learning architectures (convolutional neural ...
Yiming Qin, Zihan Chen, Ye Peng, Ying Xiao, Tian Zhong, Xi Yu   +5 more
wiley   +1 more source