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We have identified the simplest topology that will permit spontaneous oscillations in a model of microvascular blood flow that includes the plasma skimming effect and the Fahraeus-Lindqvist effect and assumes that the flow can be described by a first-order wave equation in blood hematocrit. Our analysis is based on transforming the governing partial… (More)

- Brian D Storey, Deborah V Hellen, Nathaniel J Karst, John B Geddes
- Physical review. E, Statistical, nonlinear, and…
- 2015

We investigate the laminar flow of two-fluid mixtures inside a simple network of interconnected tubes. The fluid system is composed of two miscible Newtonian fluids of different viscosity which do not mix and remain as nearly distinct phases. Downstream of a diverging network junction the two fluids do not necessarily split in equal fraction and thus… (More)

- Ilari Shafer, Rachel Nancollas, Morgan Boes, Alisha L Sieminski, John B Geddes
- Mathematical medicine and biology : a journal of…
- 2011

Vascular adaptation--or structural changes of microvessels in response to physical and metabolic stresses--can influence physiological processes like angiogenesis and hypertension. To better understand the influence of these stresses on adaptation, Pries et al. (1998, 2001a,b, 2005) have developed a computational model for microvascular adaptation. Here, we… (More)

Pulse dynamics in an actively mode-locked laser" (2003). Math. Paper 1. Abstract. We consider pulse formation dynamics in an actively mode-locked laser. We show that an amplitude-modulated laser is subject to large transient growth and we demonstrate that at threshold the transient growth is precisely the Petermann excess noise factor for a laser governed… (More)

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