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Single-cell lineage tracking strategies enabled by recent experimental technologies have produced significant insights into cell fate decisions, but lack the quantitative framework necessary for rigorous statistical analysis of mechanistic…

Hematopoiesis is a complex biological process that leads to the production and regulation of blood cells. It is based upon differentiation of stem cells under the action of growth factors. A mathematical approach of this process is proposed…

Classical Analysis and ODEs · Mathematics 2009-04-17 Mostafa Adimy , Fabien Crauste , Shigui Ruan

Cells regulate themselves via dizzyingly complex biochemical processes called signaling pathways. These are usually depicted as a network, where nodes represent proteins and edges indicate their influence on each other. In order to…

Molecular Networks · Quantitative Biology 2021-01-13 David Merrell , Anthony Gitter

Erythropoiesis is a mechanism for the production of red blood cells by cellular differentiation. It is based on amplification steps due to an interplay between renewal and differentiation in the successive cell compartments from stem cells…

Probability · Mathematics 2019-12-12 Celine Bonnet , Sylvie Méléard

Populations of heterogeneous cells play an important role in many biological systems. In this paper we consider systems where each cell can be modelled by an ordinary differential equation. To account for heterogeneity, parameter values are…

Quantitative Methods · Quantitative Biology 2009-09-27 Steffen Waldherr , Jan Hasenauer , Frank Allgöwer

In this paper, we develop a graphical modeling framework for the inference of networks across multiple sample groups and data types. In medical studies, this setting arises whenever a set of subjects, which may be heterogeneous due to…

Biological systems are driven by intricate interactions among the complex array of molecules that comprise the cell. Many methods have been developed to reconstruct network models of those interactions. These methods often draw on large…

Molecular Networks · Quantitative Biology 2018-06-29 Marieke Lydia Kuijjer , Matthew Tung , GuoCheng Yuan , John Quackenbush , Kimberly Glass

Network datasets appear across a wide range of scientific fields, including biology, physics, and the social sciences. To enable data-driven discoveries from these networks, statistical inference techniques like estimation and hypothesis…

Methodology · Statistics 2026-02-19 Arpan Kumar , Minh Tang , Srijan Sengupta

Cardiac development is complex, multiscale process encompassing cell fate adoption, differentiation and morphogenesis. To elucidate pathways underlying this process, a recently developed algorithm to reverse engineer gene regulatory…

Molecular Networks · Quantitative Biology 2017-02-08 Jason N. Bazil , Karl D. Stamm , Xing Li , Timothy J. Nelson , Aoy Tomita-Mitchell , Daniel A. Beard

We present a foundation modeling framework that leverages deep learning to uncover latent genetic signatures across the hematopoietic hierarchy. Our approach trains a fully connected autoencoder on multipotent progenitor cells, reducing…

Machine Learning · Computer Science 2025-03-27 Gabriel Bo , Justin Gu , Christopher Sun

Tabular datasets with low-sample-size or many variables are prevalent in biomedicine. Practitioners in this domain prefer linear or tree-based models over neural networks since the latter are harder to interpret and tend to overfit when…

Machine Learning · Computer Science 2022-02-09 Junchen Yang , Ofir Lindenbaum , Yuval Kluger

Unraveling the co-expression of genes across studies enhances the understanding of cellular processes. Inferring gene co-expression networks from transcriptome data presents many challenges, including spurious gene correlations, sample…

Machine Learning · Statistics 2024-10-01 Teodora Pandeva , Martijs Jonker , Leendert Hamoen , Joris Mooij , Patrick Forré

A major goal in genomics is to properly capture the complex dynamical behaviors of gene regulatory networks (GRNs). This includes inferring the complex interactions between genes, which can be used for a wide range of genomics analyses,…

Molecular Networks · Quantitative Biology 2023-01-18 Mohammad Alali , Mahdi Imani

In this paper, we tested several sparse optimization algorithms based on the public dataset of the DREAM5 Gene Regulatory Network Inference Challenge. And we find that introducing 20% of the regulatory network as a priori known data can…

Molecular Networks · Quantitative Biology 2022-11-15 Jiashu Lou , Leyi Cui , Wenxuan Qiu

Statistical inference of genetic regulatory networks is essential for understanding temporal interactions of regulatory elements inside the cells. For inferences of large networks, identification of network structure is typical achieved…

Quantitative Methods · Quantitative Biology 2008-04-07 Heng Lian

The well-known issue of reconstructing regulatory networks from gene expression measurements has been somewhat disrupted by the emergence and rapid development of single-cell data. Indeed, the traditional way of seeing a gene regulatory…

Molecular Networks · Quantitative Biology 2021-10-01 Ulysse Herbach

This study addresses the challenge of predicting network dynamics, such as forecasting disease spread in social networks or estimating species populations in predator-prey networks. Accurate predictions in large networks are difficult due…

Social and Information Networks · Computer Science 2023-08-23 Rui Luo

In many organisms the expression levels of each gene are controlled by the activation levels of known "Transcription Factors" (TF). A problem of considerable interest is that of estimating the "Transcription Regulation Networks" (TRN)…

Applications · Statistics 2010-11-09 Gareth M. James , Chiara Sabatti , Nengfeng Zhou , Ji Zhu

Statistical and mathematical modeling are crucial to describe, interpret, compare and predict the behavior of complex biological systems including the organization of hematopoietic stem and progenitor cells in the bone marrow environment.…

Quantitative Methods · Quantitative Biology 2018-09-07 Walter de Back , Thomas Zerjatke , Ingo Roeder

We present the methods and results of a two-stage modeling process that generates candidate gene-regulatory networks of the bacterium B. subtilis from experimentally obtained, yet mathematically underdetermined microchip array data. By…

Molecular Networks · Quantitative Biology 2009-11-13 C. Christensen , A. Gupta , C. D. Maranas , R. Albert
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