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Computational inverse problems for biomedical simulators suffer from limited data and relatively high parameter dimensionality. This often requires sensitivity analysis, where parameters of the model are ranked based on their influence on…

Tissues and Organs · Quantitative Biology 2025-06-06 Mitchel J. Colebank

Determining brain hemodynamics plays a critical role in the diagnosis and treatment of various cerebrovascular diseases. In this work, we put forth a physics-informed deep learning framework that augments sparse clinical measurements with…

Medical Physics · Physics 2021-08-27 Mohammad Sarabian , Hessam Babaee , Kaveh Laksari

Patient-specific computational modeling is a popular, non-invasive method to answer medical questions. Medical images are used to extract geometric domains necessary to create these models, providing a predictive tool for clinicians.…

Bayesian methods have been very successful in quantifying uncertainty in physics-based problems in parameter estimation and prediction. In these cases, physical measurements y are modeled as the best fit of a physics-based model…

Data Analysis, Statistics and Probability · Physics 2015-02-06 Dave Higdon , Jordan D. McDonnell , Nicolas Schunck , Jason Sarich , Stefan M. Wild

One major impediment to the wider use of deep learning for clinical decision making is the difficulty of assigning a level of confidence to model predictions. Currently, deep Bayesian neural networks and sparse Gaussian processes are the…

Detection and monitoring of patients with pulmonary hypertension, defined as mean blood pressure in the main pulmonary artery above 25 mmHg, requires a combination of imaging and hemodynamic measurements. This study demonstrates how to…

Quantitative Methods · Quantitative Biology 2020-02-21 Megan J. Chambers , Mitchel J. Colebank , M Umar Qureshi , Rachel Clipp , Mette S. Olufsen

We propose a novel approach to generate samples from the conditional distribution of patient-specific cardiovascular models given a clinically aquired image volume. A convolutional neural network architecture with dropout layers is first…

Quantitative Methods · Quantitative Biology 2021-09-01 Gabriel Maher , Casey Fleeter , Daniele Schiavazzi , Alison Marsden

We present a Bayesian dynamical inference method for characterizing cardiorespiratory (CR) dynamics in humans by inverse modelling from blood pressure time-series data. This new method is applicable to a broad range of stochastic dynamical…

Data Analysis, Statistics and Probability · Physics 2009-11-11 D. G. Luchinsky , V. N. Smelyanskiy , M. M. Millonas , A. Stefanovska , P. V. E. McClintock

Intracardiac flow patterns are shaped by the coupled motion of the cardiac chambers and heart valves and provide important information about cardiac function. However, clinical flow imaging remains limited by exam times, noise, resolution,…

Image and Video Processing · Electrical Eng. & Systems 2026-05-12 Fanwei Kong , Aaron Brown , Michael Loecher , Perry S. Choi , Lei Shi , Michael Ma , Daniel B. Ennis , Alison Marsden

Mathematical models of a cellular action potential in cardiac modelling have become increasingly complex, particularly in gating kinetics which control the opening and closing of individual ion channel currents. As cardiac models advance…

Quantitative Methods · Quantitative Biology 2021-04-28 C. Houston , B. Marchand , L. Engelbert , C. D. Cantwell

Hemodynamics in the aorta from computational fluid dynamics (CFD) simulations can provide a comprehensive analysis of relevant cardiovascular diseases. Coupling the three-element Windkessel model with the patient-specific CFD simulation to…

Fluid Dynamics · Physics 2022-07-14 Zongze Li , Wenbin Mao

Predicated on the increasing abundance of electronic health records, we investi- gate the problem of inferring individualized treatment effects using observational data. Stemming from the potential outcomes model, we propose a novel multi-…

Machine Learning · Computer Science 2017-05-30 Ahmed M. Alaa , Mihaela van der Schaar

Conditional Density Estimation (CDE) models deal with estimating conditional distributions. The conditions imposed on the distribution are the inputs of the model. CDE is a challenging task as there is a fundamental trade-off between model…

Machine Learning · Statistics 2018-10-31 Vincent Dutordoir , Hugh Salimbeni , Marc Deisenroth , James Hensman

Loss of lung function in cystic fibrosis (CF) occurs progressively, punctuated by acute pulmonary exacerbations (PEx) in which abrupt declines in lung function are not fully recovered. A key component of CF management over the past half…

Quantitative Methods · Quantitative Biology 2025-12-04 Steven Mascaro , Owen Woodberry , Charlie McLeod , Mitch Messer , Hiran Selvadurai , Yue Wu , Andre Schultz , Thomas L Snelling

This work studies lung tumor growth prediction from sparse and irregular longitudinal computed tomography (CT) observations with measurement variability. A Bayesian physics-informed neural network is developed by combining Gompertz growth…

Machine Learning · Computer Science 2026-05-14 Lingfei Kong , Haoran Ma

Sepsis is a potentially life threatening inflammatory response to infection or severe tissue damage. It has a highly variable clinical course, requiring constant monitoring of the patient's state to guide the management of intravenous…

Machine Learning · Computer Science 2022-02-21 Thesath Nanayakkara , Gilles Clermont , Christopher James Langmead , David Swigon

Early and accurate diagnosis of pulmonary hypertension (PH) is essential for optimal patient management. Differentiating between pre-capillary and post-capillary PH is critical for guiding treatment decisions. This study develops and…

Image and Video Processing · Electrical Eng. & Systems 2025-04-03 Fubao Zhu , Yang Zhang , Gengmin Liang , Jiaofen Nan , Yanting Li , Chuang Han , Danyang Sun , Zhiguo Wang , Chen Zhao , Wenxuan Zhou , Jian He , Yi Xu , Iokfai Cheang , Xu Zhu , Yanli Zhou , Weihua Zhou

Computational models are continuously integrated in the clinical space, where they support clinicians in disease diagnosis, prognosis, and prevention strategies. While assisting in clinical space, these computational models frequently use…

Medical Physics · Physics 2026-04-30 Muhammad Usman , Peter N. Castillo , Akil Narayan , Lucas H. Timmins

Mathematical models are widely recognized as a valuable tool for cardiovascular diagnosis and the study of circulatory diseases, especially to obtain data that require otherwise invasive measurements. To correctly simulate body…

Current causal discovery approaches require restrictive model assumptions in the absence of interventional data to ensure structure identifiability. These assumptions often do not hold in real-world applications leading to a loss of…

Machine Learning · Statistics 2025-06-25 Anish Dhir , Ruby Sedgwick , Avinash Kori , Ben Glocker , Mark van der Wilk