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Recent breakthroughs in cancer research have come via the up-and-coming field of pathway analysis. By applying statistical methods to prior known gene and protein regulatory information, pathway analysis provides a meaningful way to…

Genomics · Quantitative Biology 2017-10-11 Yue Zhao

Biophysical models describing complex, cellular phenomena typically include systems of nonlinear differential equations with many free parameters. While experimental measurements can fix some parameters, those describing internal cellular…

Computational Physics · Physics 2025-07-08 Joseph M. Marcinik , Martín A. Toderi , Dolores Bozovic

Notch signaling is an evolutionary conserved cell-cell communication pathway. Besides regulating cell-fate decisions at an individual cell level, Notch signaling coordinates the emergent spatiotemporal patterning in a tissue through…

Molecular Networks · Quantitative Biology 2020-05-13 Federico Bocci , Jose Nelson Onuchic , Mohit Kumar Jolly

To develop and investigate detailed mathematical models of cellular metabolic processes is one of the primary challenges in systems biology. However, despite considerable advance in the topological analysis of metabolic networks, explicit…

Molecular Networks · Quantitative Biology 2007-05-23 Ralf Steuer , Thilo Gross , Joachim Selbig , Bernd Blasius

Accurate prediction of cancer progression remains a challenge due to the high heterogeneity of molecular omics data across patients. While biologically informed models have improved the interpretability of these predictions, a persistent…

Machine Learning · Computer Science 2026-04-21 Koushik Howlader , Md Tauhidul Islam , Wei Le

Advances in imaging technology now provide us with detailed 3D data on gene expression patterns in developing embryos. This information can be used to build predictive mathematical models of embryogenesis. Current modelling approaches are,…

Quantitative Methods · Quantitative Biology 2014-06-11 Britta Velten , Erkan Uenal , Dagmar Iber

In high dimensional analysis, effects of explanatory variables on responses sometimes rely on certain exposure variables, such as time or environmental factors. In this paper, to characterize the importance of each predictor, we utilize its…

Methodology · Statistics 2018-04-11 Yeqing Zhou , Jingyuan Liu , Zhihui Hao , Liping Zhu

Motivation: Identifying the molecular pathways more prone to disruption during a pathological process is a key task in network medicine and, more in general, in systems biology. Results: In this work we propose a pipeline that couples a…

In this paper we propose a Bayesian approach for inference about dependence of high throughput gene expression. Our goals are to use prior knowledge about pathways to anchor inference about dependence among genes; to account for this…

Applications · Statistics 2012-06-29 Donatello Telesca , Peter Müller , Giovanni Parmigiani , Ralph S. Freedman

Multi-gene panel testing allows many cancer susceptibility genes to be tested quickly at a lower cost making such testing accessible to a broader population. Thus, more patients carrying pathogenic germline mutations in various…

Dynamic models of signaling networks allow the formulation of hypotheses on the topology and kinetic rate laws characterizing a given molecular network, in-depth exploration and confrontation with kinetic biological data. Despite its…

Molecular Networks · Quantitative Biology 2018-08-01 Romain Yvinec , Mohammed Akli Ayoub , Francesco De Pascali , Pascale Crépieux , Eric Reiter , Anne Poupon

We consider the task of discovering gene regulatory networks, which are defined as sets of genes and the corresponding transcription factors which regulate their expression levels. This can be viewed as a variable selection problem,…

Methodology · Statistics 2014-12-04 Justin Bleich , Adam Kapelner , Edward I. George , Shane T. Jensen

Modern single-cell flow and mass cytometry technologies measure the expression of several proteins of the individual cells within a blood or tissue sample. Each profiled biological sample is thus represented by a set of hundreds of…

Machine Learning · Computer Science 2022-06-29 Siyuan Shan , Vishal Baskaran , Haidong Yi , Jolene Ranek , Natalie Stanley , Junier Oliva

Model merging provides a cost-effective and data-efficient combination of specialized deep neural networks through parameter integration. This technique leverages expert models across downstream tasks without requiring retraining. Most…

Machine Learning · Computer Science 2025-10-17 Levy Chaves , Eduardo Valle , Sandra Avila

Inferring dependence structure through undirected graphs is crucial for uncovering the major modes of multivariate interaction among high-dimensional genomic markers that are potentially associated with cancer. Traditionally, conditional…

Methodology · Statistics 2016-04-04 Anindya Bhadra , Arvind Rao , Veerabhadran Baladandayuthapani

We consider the reduction of parametric families of linear dynamical systems having an affine parameter dependence that differ from one another by a low-rank variation in the state matrix. Usual approaches for parametric model reduction…

Numerical Analysis · Mathematics 2019-12-25 Christopher Beattie , Serkan Gugercin , Zoran Tomljanovic

A model-independent method for the determination of Breit-Wigner resonance parameters is presented. The method is based on eliminating the dependence on the choice of channel basis by analyzing the trace of the K and T matrices in the…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Ceci , A. Svarc , B. Zauner , M. Manley , S. Capstick

Turing patterns play a fundamental role in morphogenesis and population dynamics, encoding key information about the underlying biological mechanisms. Yet, traditional inverse problems have largely relied on non-biological data such as…

Analysis of PDEs · Mathematics 2025-09-10 Yuhan Li , Hongyu Liu , Catharine W. K. Lo

High-throughput scientific studies involving no clear a'priori hypothesis are common. For example, a large-scale genomic study of a disease may examine thousands of genes without hypothesizing that any specific gene is responsible for the…

Methodology · Statistics 2012-03-02 Babak Shahbaba

We present a machine learning approach for model-independent new physics searches. The corresponding algorithm is powered by recent large-scale implementations of kernel methods, nonparametric learning algorithms that can approximate any…

High Energy Physics - Phenomenology · Physics 2022-10-17 Marco Letizia , Gianvito Losapio , Marco Rando , Gaia Grosso , Andrea Wulzer , Maurizio Pierini , Marco Zanetti , Lorenzo Rosasco