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We study the effects of the sequence on the propagation of nonlinear excitations in simple models of DNA, and how those effects are modified by noise. Starting from previous results on soliton dynamics on lattices defined by aperiodic…

Biomolecules · Quantitative Biology 2009-11-10 Sara Cuenda , Angel Sanchez

We present a systematic evaluation framework - thirty-seven analyses, 153 statistical tests, four cell types, two perturbation modalities - for assessing mechanistic interpretability in single-cell foundation models. Applying this framework…

Genomics · Quantitative Biology 2026-02-20 Ihor Kendiukhov

We develop a new framework for learning variational autoencoders and other deep generative models that balances generative and discriminative goals. Our framework optimizes model parameters to maximize a variational lower bound on the…

Machine Learning · Computer Science 2020-12-15 Gabriel Hope , Madina Abdrakhmanova , Xiaoyin Chen , Michael C. Hughes , Michael C. Hughes , Erik B. Sudderth

Quantifying how spatial disorder affects the movement of a diffusing particle or agent is fundamental to target search studies. When diffusion occurs on a network, that is on a highly disordered environment, we lack the mathematical tools…

Statistical Mechanics · Physics 2025-08-15 Daniel Marris , Chittaranjan Hens , Subrata Ghosh , Luca Giuggioli

Gene regulation is a complex process involving the role of several genomic elements which work in concert to drive spatio-temporal expression. The experimental characterization of gene regulatory elements is a very complex and…

Genomics · Quantitative Biology 2007-10-11 Arvind Rao , Alfred O. Hero , David J. States , James Douglas Engel

Predicting the impact of genomic and drug perturbations in cellular function is crucial for understanding gene functions and drug effects, ultimately leading to improved therapies. To this end, Causal Representation Learning (CRL)…

Perturbation theory is an important tool in the analysis of oscillators and their response to external stimuli. It is predicated on the assumption that the perturbations in question are "sufficiently weak", an assumption that is not always…

Neurons and Cognition · Quantitative Biology 2012-01-19 Kevin K. Lin , Kyle C. A. Wedgwood , Stephen Coombes , Lai-Sang Young

Single-cell RNA sequencing technologies have revolutionized our understanding of cellular heterogeneity, yet computational methods often struggle to balance performance with biological interpretability. Embedded topic models have been…

Machine Learning · Computer Science 2025-12-08 Hegang Chen , Yuyin Lu , Yifan Zhao , Zhiming Dai , Fu Lee Wang , Qing Li , Yanghui Rao , Yue Li

Machine learning models have become indispensable tools in applications across the physical sciences. Their training is often time-consuming, vastly exceeding the inference timescales. Several protocols have been developed to perturb the…

Machine Learning · Computer Science 2025-06-25 Sagi Meir , Tommer D. Keidar , Shlomi Reuveni , Barak Hirshberg

Despite their success and widespread adoption, the opaque nature of deep neural networks (DNNs) continues to hinder trust, especially in critical applications. Current interpretability solutions often yield inconsistent or oversimplified…

Machine Learning · Computer Science 2024-10-10 Alec F. Diallo , Vaishak Belle , Paul Patras

In this work we establish conditions which guarantee the existence of (strictly) positive steady states of a nonlinear structured population model. In our framework the steady state formulation amounts to recasting the nonlinear problem as…

Analysis of PDEs · Mathematics 2019-09-18 Àngel Calsina , József Z. Farkas

Foundation models for single-cell RNA sequencing (scRNA-seq) have shown promising capabilities in capturing gene expression patterns. However, current approaches face critical limitations: they ignore biological prior knowledge encoded in…

Machine Learning · Computer Science 2025-03-04 Mufan Qiu , Xinyu Hu , Fengwei Zhan , Sukwon Yun , Jie Peng , Ruichen Zhang , Bhavya Kailkhura , Jiekun Yang , Tianlong Chen

Single-cell RNA sequencing (scRNA-seq) data are important for studying the laws of life at single-cell level. However, it is still challenging to obtain enough high-quality scRNA-seq data. To mitigate the limited availability of data,…

Quantitative Methods · Quantitative Biology 2024-03-06 Erpai Luo , Minsheng Hao , Lei Wei , Xuegong Zhang

We are interested in the comparison of transcript boundaries from cells which originated in different environments. The goal is to assess whether this phenomenon, called differential splicing, is used to modify the transcription of the…

Applications · Statistics 2013-07-12 Alice Cleynen , Stéphane Robin

Aiming to generalize the label knowledge from a source domain with continuous outputs to an unlabeled target domain, Domain Adaptation Regression (DAR) is developed for complex practical learning problems. However, due to the continuity…

Machine Learning · Computer Science 2024-08-14 Hao-Ran Yang , Chuan-Xian Ren , You-Wei Luo

Genomic signal processing has been used successfully in bioinformatics to analyze biomolecular sequences and gain varied insights into DNA structure, gene organization, protein binding, sequence evolution, etc. But challenges remain in…

Genomics · Quantitative Biology 2022-11-04 Saish Jaiswal , Shreya Nema , Hema A Murthy , Manikandan Narayanan

Spatial transcriptomics (ST) has emerged as an advanced technology that provides spatial context to gene expression. Recently, deep learning-based methods have shown the capability to predict gene expression from WSI data using ST data.…

Machine Learning · Computer Science 2024-12-10 Mingcheng Qu , Yuncong Wu , Donglin Di , Anyang Su , Tonghua Su , Yang Song , Lei Fan

The diffusive arrival of transcription factors at the promoter sites on the DNA sets a lower bound on how accurately a cell can regulate its protein levels. Using results from the literature on diffusion-influenced reactions, we derive an…

Molecular Networks · Quantitative Biology 2014-10-24 Joris Paijmans , Pieter Rein ten Wolde

Fluctuations in the measured mRNA levels of unperturbed cells under fixed conditions have often been viewed as an impediment to the extraction of information from expression profiles. Here, we argue that such expression fluctuations should…

Molecular Networks · Quantitative Biology 2007-05-23 William W. Chen , Jeremy L. England , Eugene I. Shakhnovich

This paper introduces the Single-Cell Perturbation Prediction Diffusion Model (scPPDM), the first diffusion-based framework for single-cell drug-response prediction from scRNA-seq data. scPPDM couples two condition channels,…

Quantitative Methods · Quantitative Biology 2025-10-15 Zhaokang Liang , Shuyang Zhuang , Xiaoran Jiao , Weian Mao , Hao Chen , Chunhua Shen