42 citations · 111 across the 15 of their papers we have counts for
17 papers
Sharp Polynomial Upper Bounds for Anticanonical Volumes
Pinxian Bie, Peien Du, Zhengjie Yu
For every positive integer , we prove that there is a constant , depending only on , such that whenever admits an -lc log Fano…
Parameter identifiability of a neuroendocrine-inflammatory model across experimental designs
Aubrey Ayres, Mitchel J. Colebank
Mathematical modeling helps us identify and investigate complex mechanisms of function. This is especially useful for understanding inflammation, which is a complex, multiscale pro…
Uncertainty-aware classification and triage of structural heart disease using electrocardiography and echocardiography metrics
Mitchel J. Colebank
Machine learning methods provide a methodological innovation that can help screen for cardiovascular disease through noninvasive and readily available measurement modalities. Recen…
Mathematical simulations of pediatric hemodynamics in isolated ventricular septal defect
Mitchel J. Colebank, Alfonso Limon, Anthony Chang +3
Computer modeling of the cardiovascular system has potential to revolutionize personalized medical care. This is especially promising for congenital heart defects, such as ventricu…
Assessing parameter identifiability of a hemodynamics PDE model using spectral surrogates and dimension reduction
Mitchel J. Colebank
Computational inverse problems for biomedical simulators suffer from limited data and relatively high parameter dimensionality. This often requires sensitivity analysis, where para…
Bayesian Parameter Inference and Uncertainty Quantification for a Computational Pulmonary Hemodynamics Model Using Gaussian Processes
Amirreza Kachabi, Sofia Altieri Correa, Naomi C. Chesler +1
Subject-specific modeling is a powerful tool in cardiovascular research, providing insights beyond the reach of current clinical diagnostics. Limitations in available clinical data…
Markov Chain Monte Carlo with Gaussian Process Emulation for a 1D Hemodynamics Model of CTEPH
Amirreza Kachabi, Mitchel J. Colebank, Sofia Altieri Correa +1
Microvascular disease is a contributor to persistent pulmonary hypertension in those with chronic thromboembolic pulmonary hypertension (CTEPH). The heterogenous nature of the micr…
Efficient Uncertainty Quantification in a Multiscale Model of Pulmonary Arterial and Venous Hemodynamics
Mitchel J. Colebank, Naomi C. Chesler
Computational hemodynamics models are becoming increasingly useful in the management and prognosis of complex, multiscale pathologies, including those attributed to the development…
A computational study of aortic reconstruction in single ventricle patients
Alyssa M. Taylor-LaPole, Mitchel J. Colebank, Justin D. Weigand +2
Patients with hypoplastic left heart syndrome (HLHS) are born with an underdeveloped left heart. They typically receive a sequence of surgeries that result in a single ventricle ph…
Numerical predictions of shear stress and cyclic stretch in the healthy pulmonary vasculature
Michelle A. Bartolo, M. Umar Qureshi, Mitchel J. Colebank +2
Isolated post-capillary pulmonary hypertension (Ipc-PH) occurs due to left heart failure, which contributes to 1 out of every 9 deaths in the United States. In some patients, throu…
A multiscale model of vascular function in chronic thromboembolic pulmonary hypertension
Mitchel J. Colebank, M. Umar Qureshi, Sudarshan Rajagopal +2
Chronic thromboembolic pulmonary hypertension (CTEPH) is caused by recurrent or unresolved pulmonary thromboemboli, leading to perfusion defects and increased arterial wave reflect…
Parameter inference in a computational model of hemodynamics in pulmonary hypertension
Amanda L. Colunga, Mitchel J. Colebank, REU Program +1
Pulmonary hypertension (PH), defined by a mean pulmonary arterial pressure (mPAP) 20 mmHg, is characterized by increased pulmonary vascular resistance and decreased pulmonary a…
Structural and hemodynamic properties in murine pulmonary arterial networks under hypoxia-induced pulmonary hypertension
Megan J. Chambers, Mitchel J. Colebank, M Umar Qureshi +2
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 h…
Influence of image segmentation on one-dimensional fluid dynamics predictions in the mouse pulmonary arteries
Mitchel J. Colebank, L. Mihaela Paun, M. Umar Qureshi +4
Computational fluid dynamics (CFD) models are emerging as tools for assisting in diagnostic assessment of cardiovascular disease. Recent advances in image segmentation has made sub…
Sensitivity analysis and uncertainty quantification of 1D models of the pulmonary circulation
Mitchel J. Colebank, M. Umar Qureshi, Mette S. Olufsen
This study combines a one-dimensional (1D) model with micro-CT imaging and hemodynamic data to quantify uncertainty of flow and pressure predictions in the pulmonary arteries in a…
MCMC methods for inference in a mathematical model of pulmonary circulation
L. Mihaela Paun, M. Umar Qureshi, Mitchel Colebank +4
This study performs parameter inference in a partial differential equations system of pulmonary circulation. We use a fluid dynamics network model that takes selected parameter val…
Hemodynamic assessment of pulmonary hypertension in mice: a model based analysis of the disease mechanism
M. Umar Qureshi, Mitchel Colebank, Mihaela Paun +6
This study uses a one dimensional fluid dynamics arterial network model to infer changes in hemodynamic quantities associated with pulmonary hypertension in mice. Data for this stu…