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- Paul N. Watton, Nicholas A. Hill, Matthias Heil
- Biomechanics and modeling in mechanobiology
- 2004

We present the first mathematical model to account for the evolution of the abdominal aortic aneurysm. The artery is modelled as a two-layered, cylindrical membrane using nonlinear elasticity and a… (More)

- Matthias Heil
- 1997

This paper is concerned with the problem of viscous ow in an elastic tube. Elastic tubes collapse (buckle non-axisymmetrically) when the transmural pressure (internal minus external pressure) falls… (More)

This paper discusses certain aspects of the design and implementation of oomph-lib, an object-oriented multi-physics finite-element library, available as open-source software at… (More)

- Matthias Heil
- 2004

This paper is concerned with the fully-coupled (‘monolithic’) solution of largedisplacement fluid-structure interaction problems by Newton’s method. We show that block-triangular approximations of… (More)

We compare the relative performance of monolithic and segregated (partitioned) solvers for large- displacement fluid–structure interaction (FSI) problems within the framework of oomph-lib, the… (More)

(253 articles) applied mathematics (211 articles) biomedical engineering (87 articles) mathematical modelling Articles on similar topics can be found in the following collections Email alerting… (More)

- Andrew L. Hazel, Matthias Heil
- Journal of biomechanical engineering
- 2006

Motivated by the physiological problem of pulmonary airway reopening, we study the steady propagation of an air finger into a buckled elastic tube, initially filled with viscous fluid. The system is… (More)

- Matthias Heil
- 1998

Viscous ow in elastic (collapsible) tubes is a large-displacement uid-structure interaction problem frequently encountered in biomechanics. This paper presents a robust and rapidly converging… (More)

- Matthias Heil, Andrew L. Hazel, Jaclyn A Smith
- Respiratory Physiology & Neurobiology
- 2008

We describe how surface-tension-driven instabilities of the lung's liquid lining may lead to pulmonary airway closure via the formation of liquid bridges that occlude the airway lumen. Using simple… (More)