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Extracting activation patterns from functional Magnetic Resonance Images (fMRI) datasets remains challenging in rapid-event designs due to the inherent delay of blood oxygen level-dependent (BOLD) signal. The general linear model (GLM)…

Machine Learning · Computer Science 2013-05-14 Fabian Pedregosa , Michael Eickenberg , Bertrand Thirion , Alexandre Gramfort

In the event-related functional magnetic resonance imaging (fMRI) data analysis, there is an extensive interest in accurately and robustly estimating the hemodynamic response function (HRF) and its associated statistics (e.g., the magnitude…

Applications · Statistics 2013-12-23 Jiaping Wang , Hongtu Zhu , Jianqing Fan , Kelly Giovanello , Weili Lin

Despite the common usage of a canonical, data-independent, hemodynamic response function (HRF), it is known that the shape of the HRF varies across brain regions and subjects. This suggests that a data-driven estimation of this function…

Computational Engineering, Finance, and Science · Computer Science 2014-11-10 Fabian Pedregosa , Michael Eickenberg , Philippe Ciuciu , Bertrand Thirion , Alexandre Gramfort

In this paper we introduce a new hierarchical model for the simultaneous detection of brain activation and estimation of the shape of the hemodynamic response in multi-subject fMRI studies. The proposed approach circumvents a major…

Applications · Statistics 2015-11-13 David Degras , Martin A. Lindquist

Previous studies on event-related functional magnetic resonance imaging experimental designs are primarily based on linear models, in which a known shape of the hemodynamic response function (HRF) is assumed. However, the HRF shape is…

Applications · Statistics 2014-01-09 Ming-Hung Kao , Dibyen Majumdar , Abhyuday Mandal , John Stufken

In the current paper, we introduce a parametric data-driven model for functional near-infrared spectroscopy that decomposes a signal into a series of independent, rescaled, time-shifted, hemodynamic basis functions. Each decomposed waveform…

Signal Processing · Electrical Eng. & Systems 2020-01-24 Marco A. Pinto-Orellana , Diego C. Nascimento , Peyman Mirtaheri , Rune Jonassen , Anis Yazidi , Hugo L. Hammer

Standard detection of evoked brain activity in functional MRI (fMRI) relies on a fixed and known shape of the impulse response of the neurovascular coupling, namely the hemodynamic response function (HRF). To cope with this issue, the joint…

Applications · Statistics 2015-01-07 Aina Frau-Pascual , Thomas Vincent , Florence Forbes , Philippe Ciuciu

Functional magnetic resonance imaging (fMRI) technology is popularly used in many fields for studying how the brain reacts to mental stimuli. The identification of optimal fMRI experimental designs is crucial for rendering precise…

Statistics Theory · Mathematics 2015-10-30 Ching-Shui Cheng , Ming-Hung Kao

The hemodynamic response (HR) in event-related functional magnetic resonance imaging is typically assumed to be stationary. While there are some approaches in the literature to model nonstationary HRs, few focus on rapid changes. In this…

Methodology · Statistics 2025-02-19 Friederike Preusse , Thorsten Dickhaus , André Brechmann

Reactive hyperemia is a well-established technique for the non-invasive evaluation of the peripheral microcirculatory function, measured as the magnitude of limb re-perfusion after a brief period of ischemia. Despite widespread adoption by…

Tissues and Organs · Quantitative Biology 2023-02-03 Albertoo Coccarelli , Michael D. Nelson

In many pediatric fMRI studies, cardiac signals are often missing or of poor quality. A tool to extract Heart Rate Variation (HRV) waveforms directly from fMRI data, without the need for peripheral recording devices, would be highly…

Image and Video Processing · Electrical Eng. & Systems 2025-02-12 Abdoljalil Addeh , Karen Ardila , Rebecca J Williams , G. Bruce Pike , M. Ethan MacDonald

Functional magnetic resonance imaging (fMRI) provides an indirect measurement of neuronal activity via hemodynamic responses that vary across brain regions and individuals. Ignoring this hemodynamic variability can bias downstream…

Image and Video Processing · Electrical Eng. & Systems 2026-01-26 William Consagra , Eardi Lila

Neuronal brain activity in response to repeated stimuli can be perceived using functional magnetic resonance imaging (fMRI). In this paper, we develop a statistical model for fMRI data that estimates both the associated haemodynamic…

Applications · Statistics 2015-01-26 Christopher J. Brignell , William J. Browne , Ian L. Dryden , Susan T. Francis

We propose a mathematical and numerical model for the simulation of the heart function that couples cardiac electrophysiology, active and passive mechanics and hemodynamics, and includes reduced models for cardiac valves and the circulatory…

Numerical Analysis · Mathematics 2022-08-12 Michele Bucelli , Alberto Zingaro , Pasquale Claudio Africa , Ivan Fumagalli , Luca Dede' , Alfio Quarteroni

Contemporary neuroscience has embraced network science to study the complex and self-organized structure of the human brain; one of the main outstanding issues is that of inferring from measure data, chiefly functional Magnetic Resonance…

Optimization and Control · Mathematics 2017-03-31 Giulia Prando , Mattia Zorzi , Alessandra Bertoldo , Alessandro Chiuso

Functional magnetic resonance imaging (fMRI) aims to locate activated regions in human brains when specific tasks are performed. The conventional tool for analyzing fMRI data applies some variant of the linear model, which is restrictive in…

Statistics Theory · Mathematics 2008-08-08 Chunming Zhang , Tao Yu

Motivated by modeling and analysis of mass-spectrometry data, a semi- and nonparametric model is proposed that consists of a linear parametric component for individual location and scale and a nonparametric regression function for the…

Methodology · Statistics 2013-05-08 Weiping Ma , Yang Feng , Kani Chen , Zhiliang Ying

A new single-index model that reflects the time-dynamic effects of the single index is proposed for longitudinal and functional response data, possibly measured with errors, for both longitudinal and time-invariant covariates. With…

Statistics Theory · Mathematics 2011-03-10 Ci-Ren Jiang , Jane-Ling Wang

Reduced order modeling (ROM) techniques are numerical methods that approximate the solution of parametric partial differential equation (PDE) by properly combining the high-fidelity solutions of the problem obtained for several…

Numerical Analysis · Mathematics 2023-08-08 M. Girfoglio , L. Scandurra , F. Ballarin , G. Infantino , F. Nicolò , A. Montalto , G. Rozza , R. Scrofani , M. Comisso , F. Musumeci

Numerical simulations to evaluate thoracic aortic hemodynamics include a computational fluid dynamic (CFD) approach or fluid-structure interaction (FSI) approach. While CFD neglects the arterial deformation along the cardiac cycle by…

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