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The presence of erratic or unstable paths in standard kinetic Monte Carlo simulations significantly undermines the accurate simulation and sampling of transition pathways. While typically reliable methods, such as the Gillespie algorithm,…

Statistical Mechanics · Physics 2024-12-03 Elad Korngut , Ohad Vilk , Michael Assaf

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…

Cancer cell mutations occur when cells undergo multiple cell divisions, and these mutations can be spontaneous or environmentally-induced. The mechanisms that promote and sustain these mutations are still not fully understood. This study…

Dynamical Systems · Mathematics 2021-10-27 Maher Alwuthaynani , Raluca Eftimie , Dumitru Trucu

Breast cancer screening, primarily conducted through mammography, is often supplemented with ultrasound for women with dense breast tissue. However, existing deep learning models analyze each modality independently, missing opportunities to…

Image and Video Processing · Electrical Eng. & Systems 2023-11-16 Yiqiu Shen , Jungkyu Park , Frank Yeung , Eliana Goldberg , Laura Heacock , Farah Shamout , Krzysztof J. Geras

Mechanical models for tumor growth have been used extensively in recent years for the analysis of medical observations and for the prediction of cancer evolution based on imaging analysis. This work deals with the numerical approximation of…

Numerical Analysis · Mathematics 2015-04-24 Konstantina Trivisa , Franziska Weber

Cancer is a complex disease and thus is complicated to model. However, simple models that describe the main processes involved in tumoral dynamics, e.g., competition and mutation, can give us clues about cancer behaviour, at least…

Dynamical Systems · Mathematics 2014-11-25 V. Castillo , J. Tomas Lazaro , J. Sardanyes

Weighted ensemble (WE) is an enhanced path-sampling method that is conceptually simple, widely applicable, and statistically exact. In a WE simulation, an ensemble of trajectories is periodically pruned or replicated to enhance sampling of…

Theoretical reasoning suggests that human cancer may result from knocking down the genetic constraints evolved for maintenance of the metazoan multicellularity, which, however, requires a critical test. Using xenograft-based experimental…

Genomics · Quantitative Biology 2016-02-17 Han Chen , Fangqin Lin , Xionglei He

Accurately predicting gene mutations, mutation subtypes and their exons in lung cancer is critical for personalized treatment planning and prognostic assessment. Faced with regional disparities in medical resources and the high cost of…

Genomics · Quantitative Biology 2025-12-01 Liangrui Pan , Qingchun Liang , Shen Zhao , Songqing Fan , Shaoliang Peng

Power-enhanced tests with high-dimensional data have received growing attention in theoretical and applied statistics in recent years. Existing tests possess their respective high-power regions, and we may lack prior knowledge about the…

Methodology · Statistics 2021-10-01 Xiufan Yu , Danning Li , Lingzhou Xue , Runze Li

Weighted logrank tests are a popular tool for analyzing right censored survival data from two independent samples. Each of these tests is optimal against a certain hazard alternative, for example the classical logrank test for proportional…

Statistics Theory · Mathematics 2018-07-17 Marc Ditzhaus , Sarah Friedrich

The threshold scan at future lepton colliders is the most precise known method to determine the top quark mass (well below 100 MeV), a fundamental parameter of the Standard Model that co-determines the stability properties of the…

High Energy Physics - Phenomenology · Physics 2018-11-12 Jürgen Reuter , Bijan Chokoufé Nejad , Andre Hoang , Wolfgang Kilian , Maximilian Stahlhofen , Thomas Teubner , Christian Weiss

In this work we present a flexible tool for tumor progression, which simulates the evolutionary dynamics of cancer. Tumor progression implements a multi-type branching process where the key parameters are the fitness landscape, the mutation…

Populations and Evolution · Quantitative Biology 2013-03-22 Johannes G. Reiter , Ivana Bozic , Krishnendu Chatterjee , Martin A. Nowak

Genome-wide association analysis has generated much discussion about how to preserve power to detect signals despite the detrimental effect of multiple testing on power. We develop a weighted multiple testing procedure that facilitates the…

Statistics Theory · Mathematics 2007-06-13 Kathryn Roeder , Bernie Devlin , Larry Wasserman

Precision matrix, which is the inverse of covariance matrix, plays an important role in statistics, as it captures the partial correlation between variables. Testing the equality of two precision matrices in high dimensional setting is a…

Methodology · Statistics 2018-10-23 Mingjuan Zhang , Yong He , Cheng Zhou , Xinsheng Zhang

Prior proposals for cumulative statistics suggest making tiny random perturbations to the scores (independent variables in a regression) in order to ensure the scores' uniqueness. Uniqueness means that no score for any member of the…

Methodology · Statistics 2022-08-23 Mark Tygert

Modern bio-technologies have produced a vast amount of high-throughput data with the number of predictors far greater than the sample size. In order to identify more novel biomarkers and understand biological mechanisms, it is vital to…

Machine Learning · Statistics 2018-05-18 Kevin He , Jian Kang , Hyokyoung Grace Hong , Ji Zhu , Yanming Li , Huazhen Lin , Han Xu , Yi Li

We study the spatial evolutionary dynamics of solid tumors as they obtain additional driver mutations. We start with a cancer clone that expands uniformly in three dimensions giving rise to a spherical shape. We assume that cell division…

Populations and Evolution · Quantitative Biology 2013-08-08 Tibor Antal , P. L. Krapivsky , M. A. Nowak

While pathology foundation models have transformed cancer image analysis, they often lack integration with molecular data at single-cell resolution, limiting their utility for precision oncology. Here, we present PAST, a pan-cancer…

Quantitative Methods · Quantitative Biology 2025-07-10 Changchun Yang , Haoyang Li , Yushuai Wu , Yilan Zhang , Yifeng Jiao , Yu Zhang , Rihan Huang , Yuan Cheng , Yuan Qi , Xin Guo , Xin Gao

Reliable estimation of feature contributions in machine learning models is essential for trust, transparency and regulatory compliance, especially when models are proprietary or otherwise operate as black boxes. While permutation-based…

Machine Learning · Statistics 2025-12-24 Albert Dorador
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