22 citations · 22 across the 5 of their papers we have counts for
5 papers
Nonlinear Indentation of Second-order Hyperelastic Materials
Yangkun Du, Peter Stewart, Nicholas A Hill +5
The classical problem of indentation on an elastic substrate has found new applications in the field of the Atomic Force Microscopy. However, linearly elastic indentation models ar…
Application and reduction of a nonlinear hyperelastic wall model capturing ex vivo relationships between fluid pressure, area and wall thickness in normal and hypertensive murine left pulmonary arteries
Mansoor A. Haider, Katherine J. Pearce, Naomi C. Chesler +2
Pulmonary hypertension is a cardiovascular disorder manifested by elevated arterial blood pressure together with vessel wall stiffening and thickening due to alterations in collage…
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…
A Multiscale maximum entropy moment closure for locally regulated space-time point process models of population dynamics
Michael Raghib, Nicholas A. Hill, Ulf Dieckmann
The pervasive presence spatial and size structure in biological populations challenges fundamental assumptions at the heart of continuum models of population dynamics based on mean…