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We consider a partial differential equation model for the growth of heterogeneous cell populations subdivided into multiple distinct discrete phenotypes. In this model, cells preferentially move towards regions where they feel less…

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Extracting pulsive temporal patterns from a small dataset without their repetition or singularity shows significant importance in manufacturing applications but does not sufficiently attract scientific attention. We propose to quantify how…

Signal Processing · Electrical Eng. & Systems 2025-11-04 Yohei Kono , Yoshiyuki Tajima

Samples of curves, or functional data, usually present phase variability in addition to amplitude variability. Existing functional regression methods do not handle phase variability in an efficient way. In this paper we propose a functional…

Methodology · Statistics 2013-10-09 Daniel Gervini

In recent years, research interest in personalised treatments has been growing. However, treatment effect heterogeneity and possibly time-varying treatment effects are still often overlooked in clinical studies. Statistical tools are needed…

Methodology · Statistics 2023-10-27 Caterina Gregorio , Giovanni Baj , Giulia Barbati , Francesca Ieva

Living biological tissue is a complex system, constantly growing and changing in response to external and internal stimuli. These processes lead to remarkable and intricate changes in shape. Modeling and understanding both natural and…

Computer Vision and Pattern Recognition · Computer Science 2025-04-07 Edwin Tay , Nazli Tümer , Amir A. Zadpoor

In vitro cell biology experiments are routinely used to characterize cell migration properties under various experimental conditions. These experiments can be interpreted using lattice-based random walk models to provide insight into…

Applied Physics · Physics 2024-06-25 Yihan Liu , David J Warne , Matthew J Simpson

Dynamic microsimulation has long been recognized as a powerful tool for policy analysis, but in fact most major health policy simulations lack path dependency, a critical feature for evaluating policies that depend on accumulated outcomes…

Applications · Statistics 2025-06-04 Adrienne M. Propp , Raffaele Vardavas , Carter C. Price , Kandice A. Kapinos

Prediction of the future trajectory of a disease is an important challenge for personalized medicine and population health management. However, many complex chronic diseases exhibit large degrees of heterogeneity, and furthermore there is…

Machine Learning · Statistics 2016-08-17 Joseph Futoma , Mark Sendak , C. Blake Cameron , Katherine Heller

Longitudinal patient data has the potential to improve clinical risk stratification models for disease. However, chronic diseases that progress slowly over time are often heterogeneous in their clinical presentation. Patients may progress…

Machine Learning · Computer Science 2018-03-05 Dev Goyal , Zeeshan Syed , Jenna Wiens

Joint modeling of longitudinal and survival data has become increasingly important in medical research, particularly for understanding disease progression in chronic conditions where both repeated biomarker measurements and time-to-event…

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Modeling the time-series of high-dimensional, longitudinal data is important for predicting patient disease progression. However, existing neural network based approaches that learn representations of patient state, while very flexible, are…

Machine Learning · Computer Science 2021-06-21 Zeshan Hussain , Rahul G. Krishnan , David Sontag

Phylogenetics uses alignments of molecular sequence data to learn about evolutionary trees relating species. Along branches, sequence evolution is modelled using a continuous-time Markov process characterised by an instantaneous rate…

Objective: Endophenotypes such as brain age and fluid intelligence are important biomarkers of disease status. However, brain imaging studies to identify these biomarkers often encounter limited numbers of subjects and high dimensional…

Quantitative Methods · Quantitative Biology 2022-12-29 Anton Orlichenko , Gang Qu , Gemeng Zhang , Binish Patel , Tony W. Wilson , Julia M. Stephen , Vince D. Calhoun , Yu-Ping Wang

We propose a data-driven approach to represent neuronal network dynamics as a Probabilistic Graphical Model (PGM). Our approach learns the PGM structure by employing dimension reduction to network response dynamics evoked by stimuli applied…

Neurons and Cognition · Quantitative Biology 2017-11-02 Hexuan Liu , Jimin Kim , Eli Shlizerman

High-dimensional multivariate longitudinal data, which arise when many outcome variables are measured repeatedly over time, are becoming increasingly common in social, behavioral and health sciences. We propose a latent variable model for…

Methodology · Statistics 2025-12-09 Sze Ming Lee , Yunxiao Chen , Tony Sit

Biological phenotypes are products of complex evolutionary processes in which selective forces influence multiple biological trait measurements in unknown ways. Phylogenetic factor analysis disentangles these relationships across the…

Archetype and archetypoid analysis can be extended to functional data. Each function is represented as a mixture of actual observations (functional archetypoids) or functional archetypes, which are a mixture of observations in the data set.…

Methodology · Statistics 2016-09-02 Irene Epifanio

Pedestrian crowds encompass a complex interplay of intentional movements aimed at reaching specific destinations, fluctuations due to personal and interpersonal variability, and interactions with each other and the environment. Previous…

Physics and Society · Physics 2025-03-10 Caspar A. S. Pouw , Geert G. M. van der Vleuten , Alessandro Corbetta , Federico Toschi

Imaging-derived phenotypes (IDPs) summarize multi-organ physiology but provide only static snapshots of diseases that evolve over time. In contrast, longitudinal electronic health records encode disease trajectories through temporal…

Information Retrieval · Computer Science 2026-05-13 Zian Wang , Lizhen Lan , Guangming Wang , Haosen Zhang , Minxuan Xu , Qing Li , Tianxing He , Mo Yang , Wenyue Mao , Yajing Zhang , Yan Li , Chengyan Wang

The capability of cells to form surface extensions to non-locally probe the surrounding environment plays a key role in cell migration. The existing mathematical models for migration of cell populations driven by this non-local form of…

Cell Behavior · Quantitative Biology 2025-12-24 Tommaso Lorenzi , Nadia Loy , Chiara Villa