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Lateral diffusion of molecules on surfaces plays a very important role in various biological processes, including lipid transport across the cell membrane, synaptic transmission and other phenomena such as exo- and endocytosis, signal…

Analysis of PDEs · Mathematics 2013-11-12 A. B. Duncan , C. M. Elliott , G. A. Pavliotis , A. M. Stuart

Diffusion models have become a new SOTA generative modeling method in various fields, for which there are multiple survey works that provide an overall survey. With the number of articles on diffusion models increasing exponentially in the…

Machine Learning · Computer Science 2023-04-05 Mengchun Zhang , Maryam Qamar , Taegoo Kang , Yuna Jung , Chenshuang Zhang , Sung-Ho Bae , Chaoning Zhang

Diffusion models have emerged as a leading framework in generative modeling, poised to transform the traditionally slow and costly process of drug discovery. This review provides a systematic comparison of their application in designing two…

Machine Learning · Computer Science 2025-11-27 Yiquan Wang , Yahui Ma , Yuhan Chang , Jiayao Yan , Jialin Zhang , Minnuo Cai , Kai Wei

In medical imaging, the diffusion models have shown great potential for synthetic image generation tasks. However, these approaches often lack the interpretable connections between the generated and real images and can create anatomically…

Image and Video Processing · Electrical Eng. & Systems 2026-02-12 Jian-Qing Zheng , Yuanhan Mo , Yang Sun , Jiahua Li , Fuping Wu , Ziyang Wang , Tonia Vincent , Bartłomiej W. Papież

The de novo generation of molecules with targeted properties is crucial in biology, chemistry, and drug discovery. Current generative models are limited to using single property values as conditions, struggling with complex customizations…

Machine Learning · Computer Science 2024-10-08 Yanchen Luo , Junfeng Fang , Sihang Li , Zhiyuan Liu , Jiancan Wu , An Zhang , Wenjie Du , Xiang Wang

Cell spreading is investigated at various scales in order to understand motility of living cells which is essential for a range of physiological activities in higher organisms as well as in microbes. At a microscopic scale, it has been seen…

Cell Behavior · Quantitative Biology 2009-11-13 A. Bhattacharyay

Spherical multi-layered structures are prevalent in numerous biological systems and engineered applications, including tumor spheroids, layered tissues, and multi-shell nanoparticles for targeted drug delivery. Despite their widespread…

Information Theory · Computer Science 2025-03-19 Mitra Rezaei , Michael Chappell , Adam Noel

Spatial distributions of morphogens provide positional information in developing systems, but how the distributions are established and maintained remains an open problem. Transport by diffusion has been the traditional mechanism, but…

Cell Behavior · Quantitative Biology 2022-11-23 Jay A. Stotsky , Hans G. Othmer

A novel mechanism for cell differentiation is proposed, based on the dynamic clustering in a globally coupled chaotic system. A simple model with metabolic reaction, active transport of chemicals from media, and cell division is found to…

adap-org · Physics 2009-10-22 Kunihiko Kaneko , Tetsuya Yomo

The orientation of cell division is a major determinant of three-dimensional plant morphogenesis. Whether and how a simple division orientation rule explains the establishment of symmetric body plans is a fundamental question. Testing such…

Cell Behavior · Quantitative Biology 2026-05-14 Naoya Kamamoto , Koichi Fujimoto

Models for the transport of high energy charged particles through strong magnetic turbulence play a key role in space and astrophysical studies, such as describing the propagation of solar energetic particles and high energy cosmic rays.…

Molecular representation learning has shown great success in advancing AI-based drug discovery. The core of many recent works is based on the fact that the 3D geometric structure of molecules provides essential information about their…

Machine Learning · Computer Science 2024-10-23 Jiying Zhang , Zijing Liu , Yu Wang , Yu Li

Biomaterials are becoming an essential tool in the study and application of stem cell research. Various types of biomaterials enable three-dimensional (3D) culture of stem cells, and, more recently, also enable high-resolution patterning…

Tissues and Organs · Quantitative Biology 2016-10-11 Richard J. McMurtrey

The paper presents the results of three-dimensional (3D) modelling of the structure and the emission of accretion columns formed above the surface of accreting strongly magnetized neutron stars under the circumstances when a pressure of the…

High Energy Astrophysical Phenomena · Physics 2020-12-22 M. I. Gornostaev

Stem cells are characterized by their ability to self-renew, as well as to differentiate and give rise to new populations of cells. Stem cell divisions are crucial for generative processes that occur during early development, and later in…

Applications · Statistics 2025-08-29 Haim Bar , Huyen Nguyen , Joanne Conover

Diffusion-based models have shown great promise in molecular generation but often require a large number of sampling steps to generate valid samples. In this paper, we introduce a novel Straight-Line Diffusion Model (SLDM) to tackle this…

Machine Learning · Computer Science 2025-06-10 Yuyan Ni , Shikun Feng , Haohan Chi , Bowen Zheng , Huan-ang Gao , Wei-Ying Ma , Zhi-Ming Ma , Yanyan Lan

A major goal of modern computational biology is to simulate the collective behaviour of large cell populations starting from the intricate web of molecular interactions occurring at the microscopic level. In this paper we describe a…

Biological Physics · Physics 2007-05-23 Roberto Chignola , Edoardo Milotti

Successful biological development via spatial regulation of cell differentiation relies on action of multiple signaling molecules that are known as morphogens. It is now well established that signaling molecules create non-uniform…

Biological Physics · Physics 2015-06-23 Hamid Teimouri , Anatoly B. Kolomeisky

This work introduces a diffusion model for molecule generation in 3D that is equivariant to Euclidean transformations. Our E(3) Equivariant Diffusion Model (EDM) learns to denoise a diffusion process with an equivariant network that jointly…

Machine Learning · Computer Science 2022-06-17 Emiel Hoogeboom , Victor Garcia Satorras , Clément Vignac , Max Welling

Generative models, especially diffusion models (DMs), have achieved promising results for generating feature-rich geometries and advancing foundational science problems such as molecule design. Inspired by the recent huge success of Stable…

Machine Learning · Computer Science 2023-05-03 Minkai Xu , Alexander Powers , Ron Dror , Stefano Ermon , Jure Leskovec