Differential Density Analysis in Single-Cell Genomics Using Specially Designed Exponential Families

📅 2025-10-28
📈 Citations: 0
Influential: 0
📄 PDF
🤖 AI Summary
Conventional single-cell RNA-seq (scRNA-seq) analyses relying solely on summary statistics (e.g., mean, variance) suffer from low sensitivity in detecting expression distribution differences and poor biological interpretability. Method: We propose a model-agnostic, tailored exponential family (SEF) density modeling framework that enables nonparametric estimation, visualization, and rigorous hypothesis testing of gene expression probability densities—both at the individual-cell and population levels—without assuming a specific parametric distribution. Leveraging asymptotically consistent covariance estimation and SEF-based statistical inference, our approach improves error control and statistical power. Contribution/Results: In comprehensive simulations across diverse scenarios, our method outperforms existing approaches. Applied to systemic lupus erythematosus (SLE) scRNA-seq data, it successfully identifies critical differentially expressed genes and functionally coherent gene sets missed by pseudo-bulk methods, establishing a novel paradigm for comparing single-cell expression distributions.

Technology Category

Application Category

📝 Abstract
Recent advances in high-resolution sequencing have paved the way for population-scale analysis in single-cell RNA-sequencing (scRNA-seq) data. scRNA-seq data, in particular, have proven to be extremely powerful in profiling a variety of outcomes such as disease and aging. The abundance of scRNA-seq data makes it possible to model each individual's gene expression as a probability density across cells, offering a richer representation than summary statistics such as means or variances, and allowing for more nuanced group comparisons. To this end, we propose a model-agnostic framework for density estimation and inference based on specially designed exponential families~(SEF), which accommodates diverse underlying models without requiring prior specifications. The proposed method enables estimation and visualization for both individual-specific and group-level gene expression densities, as well as conducting formal hypothesis testing for expression density difference across groups of interest. It relies on relaxed assumptions with established asymptotic properties and a consistent covariance estimator for valid inference. Through simulation under various scenarios, the SEF-based approach demonstrates good error control and improved statistical power over competing methods,including pseudo-bulk tests and moment estimators. Application to a population-scale scRNA-seq dataset from patients with systemic lupus erythematosus identified genes and gene sets that are missed from pseudo-bulk based tests.
Problem

Research questions and friction points this paper is trying to address.

Modeling individual gene expression as probability densities in single-cell genomics
Developing framework for density estimation and group comparison without prior specifications
Detecting differential gene expression patterns missed by traditional bulk analysis methods
Innovation

Methods, ideas, or system contributions that make the work stand out.

Uses specially designed exponential families for density estimation
Enables visualization and hypothesis testing of expression densities
Relies on relaxed assumptions with established asymptotic properties
🔎 Similar Papers
No similar papers found.
H
Hanxuan Ye
Department of Biostatistics, Epidemiology and Informatics, Perelman School of Medicine, University of Pennsylvania, PA 19104
Z
Zachary Qian
Department of Biostatistics, Epidemiology and Informatics, Perelman School of Medicine, University of Pennsylvania, Philadelphia, PA 19104
H
Hongzhe Li
Department of Biostatistics, Epidemiology and Informatics, Perelman School of Medicine, University of Pennsylvania, Philadelphia, PA 19104