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The detection of change-points in heterogeneous sequences is a statistical challenge with many applications in fields such as finance, signal analysis and biology. A wide variety of literature exists for finding an ideal set of…

Applications · Statistics 2012-12-11 The Minh Luong , Vittorio Perduca , Gregory Nuel

The emergence of acquired drug resistance in cancer represents a major barrier to treatment success. While research has traditionally focused on genetic sources of resistance, recent findings suggest that cancer cells can acquire transient…

Populations and Evolution · Quantitative Biology 2020-02-25 Einar Bjarki Gunnarsson , Subhajyoti De , Kevin Leder , Jasmine Foo

Microarray time course (MTC) gene expression data are commonly collected to study the dynamic nature of biological processes. One important problem is to identify genes that show different expression profiles over time and pathways that are…

Applications · Statistics 2008-12-18 Zhi Wei , Hongzhe Li

Inferring concerted changes among biological traits along an evolutionary history remains an important yet challenging problem. Besides adjusting for spurious correlation induced from the shared history, the task also requires sufficient…

The number of studies dealing with RNA-Seq data analysis has experienced a fast increase in the past years making this type of gene expression a strong competitor to the DNA microarrays. This paper proposes a Bayesian model to detect down…

Applications · Statistics 2019-11-05 Vinícius D. Mayrink , Flávio B. Gonçalves

We introduce hmmSeq, a model-based hierarchical Bayesian technique for detecting differentially expressed genes from RNA-seq data. Our novel hmmSeq methodology uses hidden Markov models to account for potential co-expression of neighboring…

Applications · Statistics 2015-09-17 Shiqi Cui , Subharup Guha , Marco A. R. Ferreira , Allison N. Tegge

Antimicrobial resistance is an emerging global health crisis that is undermining advances in modern medicine and, if unmitigated, threatens to kill 10 million people per year worldwide by 2050. Research over the last decade has demonstrated…

Quantitative Methods · Quantitative Biology 2020-09-24 K. Farquhar , H. Flohr , D. A. Charlebois

The mother-dependent neutral mutations model describes the evolution of a population across discrete generations, where neutral mutations occur among a finite set of possible alleles. In this model, each mutant child acquires a type…

Probability · Mathematics 2025-04-29 Airam Blancas , Maria Clara Fittipaldi , Sarai Hernandez-Torres

While studying response trajectory, often the population of interest may be diverse enough to exist distinct subgroups within it and the longitudinal change in response may not be uniform in these subgroups. That is, the timeslope and/or…

Methodology · Statistics 2020-06-30 Madan Gopal Kundu , Jaroslaw Harezlak

Polymorphic malware continually alters its structure to evade signature-based defences, challenging both commercial antivirus (AV) and enterprise detection systems. This study introduces a reproducible framework for analysing eight…

Cryptography and Security · Computer Science 2025-12-01 Shreyansh Swami , Ishwardeep Singh , Ujjwalpreet Singh , Chinmay Prawah Pant

We study large deviation events in the timing of disease recurrence. In particular, we are interested in modeling cancer treatment failure due to mutation-induced drug resistance. We first present a two-type branching process model of this…

Probability · Mathematics 2021-08-06 Pranav Hanagal , Kevin Leder , Zicheng Wang

In this work we develop a stochastic model of acute HIV infection, based on the well-known standard model, that allows us to simulate the complex mutation pathways of HIV escape from multiple CTL responses. Under this model, we describe two…

Populations and Evolution · Quantitative Biology 2012-08-16 Sivan Leviyang

Despite initial success, cancer therapies often fail due to the emergence of drug-resistant cells. In this study, we use a mathematical model to investigate how cancer evolves over time, specifically focusing on the state of the tumor when…

Probability · Mathematics 2023-08-01 Kevin Leder , Zicheng Wang

Deep learning is revolutionizing predictive healthcare, including recommending medications to patients with complex health conditions. Existing approaches focus on predicting all medications for the current visit, which often overlaps with…

Machine Learning · Computer Science 2021-05-06 Chaoqi Yang , Cao Xiao , Lucas Glass , Jimeng Sun

We propose and study a new mathematical model of the human immunodeficiency virus (HIV). The main novelty is to consider that the antibody growth depends not only on the virus and on the antibodies concentration but also on the uninfected…

Optimization and Control · Mathematics 2022-01-26 Karam Allali , Sanaa Harroudi , Delfim F. M. Torres

In this work we introduce a differential equation model with time-delay that describes the three-stage dynamics and the two time scales observed in HIV infection. Assuming that the virus has high mutation and rapid reproduction rates that…

Biological Physics · Physics 2015-03-13 Flora S. Bacelar , Roberto F. S. Andrade , Rita M. Zorzenon dos Santos

We illustrate a class of conditional models for the analysis of longitudinal data suffering attrition in random effects models framework, where the subject-specific random effects are assumed to be discrete and to follow a time-dependent…

Methodology · Statistics 2014-04-28 Antonello Maruotti

This research gives a thorough examination of an HIV infection model that includes quiescent cells and immune response dynamics in the host. The model, represented by a system of ordinary differential equations, captures the complex…

Populations and Evolution · Quantitative Biology 2025-03-04 Ibrahim Nali , Attila Dénes , Abdessamad Tridane , Xueyong Zhou

Key populations at high risk of HIV infection are critical for understanding and monitoring HIV epidemics, but global estimation is hampered by sparse, uneven data. We analyze data from 199 countries for female sex workers (FSW), men who…

Applications · Statistics 2025-09-16 Jiahao Zhang , Keith Sabin , Le Bao

We propose a causal hidden Markov model to achieve robust prediction of irreversible disease at an early stage, which is safety-critical and vital for medical treatment in early stages. Specifically, we introduce the hidden variables which…

Computer Vision and Pattern Recognition · Computer Science 2021-03-31 Jing Li , Botong Wu , Xinwei Sun , Yizhou Wang