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- Peter J. Olver, Chehrzad Shakiban, +6 authors James Meiss
- 2013

⋆ ⋆ ⋆ Page xvii ⋆ ⋆ ⋆ First bullet item " The core: " Add the following as a footnote: Caveat: The complete proof of Theorem 8.20 relies on material outside the core. In particular, the proof of part (a) requires the Hermitian inner product, which is covered in section 3.6. The proof of the general version of part (c), when the matrix A has multiple… (More)

Intracellular transport in eukarya is attributed to motor proteins that transduce chemical energy into directed mechanical energy. This suggests that, in nonequilibrium systems, fluctuations may be oriented or organized to do work. Here we seek to understand how this is manifested by quantitative mathematical portrayals of these systems.

In this note we discuss transport properties of weakly coupled parabolic systems of evolution equations. These arise in the study of molecular motors, like conventional kinesin, which are responsible for eukaryotic intracellular transport. It falls under the rubric of what we call diffusion mediated transport. Diffusion mediated transport generally concerns… (More)

- Stuart L Hastings, Vincent A Pellegrino, Arthur Preovolos, Robert F Salamonsen
- Critical care and resuscitation : journal of the…
- 2008

OBJECTIVE
To gauge use of extracorporeal membrane oxygenation (ECMO) in Australian and New Zealand intensive care units, to investigate attitudes to and experience with ECMO, and to assess interest in contributing to a national database of ECMO use.
METHODS
The survey was conducted by email in July 2004. A targeted cohort of ICUs across the two countries… (More)

The T2K experiment observes indications of ν(μ) → ν(e) appearance in data accumulated with 1.43×10(20) protons on target. Six events pass all selection criteria at the far detector. In a three-flavor neutrino oscillation scenario with |Δm(23)(2)| = 2.4×10(-3) eV(2), sin(2)2θ(23) = 1 and sin(2)2θ(13) = 0, the expected number of such events is 1.5±0.3(syst).… (More)

- Stuart Hastings, David Kinderlehrer, John Bryce McLeod
- SIAM J. Math. Analysis
- 2007

Intracellular transport in eukarya is attributed to motor proteins that transduce chemical energy into directed mechanical motion. Nanoscale motors like kinesins tow organelles and other cargo on microtubules or filaments, have a role separating the mitotic spindle during the cell cycle, and perform many other functions. The simplest description gives rise… (More)

- James M. Greenberg, Curtis Greene, Stuart Hastings
- SIAM J. Matrix Analysis Applications
- 1980

We describe a dissipation principle/variational principle which may be useful in modeling motion in small viscous systems and provide brief illustrations to brownian motor or molecular rachet situations which are found in intracellular transport. Monge-Kantorovich mass transport and Wasserstein metric play an interesting role in these developments. Some… (More)

- Bard Ermentrout, Stuart Hastings
- Journal of mathematical biology
- 2009

A large system of N strains of parasite and a single host is analyzed as a function of the degree of virulence in the strains when there is super-infection between hosts (more virulent strains can infect hosts that are already infected) and within-host transition between strains that is neutral. When this small amount of local switching is allowed,… (More)

- Alexander Borisov, Mark Dickinson, Stuart Hastings
- The American Mathematical Monthly
- 2010

It is well known that to determine a triangle up to congruence requires three measurements: three sides, two sides and the included angle, or one side and two angles. We consider various generalizations of this fact to two and three dimensions. In particular we consider the following question: given a convex polyhedron P , how many measurements are required… (More)