Rowmotion and generalized toggle groups

We generalize the notion of the toggle group, as defined in [P. Cameron-D. Fon-der-Flaass '95] and further explored in [J. Striker-N. Williams '12], from the set of order ideals of a poset to any family of subsets of a finite set. We prove structure theorems for certain finite generalized toggle groups, similar to the theorem of Cameron and Fon-der-Flaass in the case of order ideals. We apply these theorems and find other results on generalized toggle groups in the following settings: chains, antichains, and interval-closed sets of a poset; independent sets, vertex covers, acyclic subgraphs, and spanning subgraphs of a graph; matroids and convex geometries. We generalize rowmotion, an action studied on order ideals in [P. Cameron-D. Fon-der-Flaass '95] and [J. Striker-N. Williams '12], to a map we call cover-closure on closed sets of a closure operator. We show that cover-closure is bijective if and only if the set of closed sets is isomorphic to the set of order ideals of a poset, which implies rowmotion is the only bijective cover-closure map.Comment: 26 pages, 5 figures, final journal versio

Dual polar spaces of arbitrary rank

In 1982 P. Cameron gave a characterisation of dual polar spaces of finite rank viewed as point-line spaces. This characterisation makes essential use of the fact that dual polar spaces of finite rank have finite diameter. Our goal is to give a characterisation which includes dual polar spaces of infinite rank. Since dual polar spaces of infinite rank are disconnected, we introduce a point-relation that denotes pairs of points at "maximal distance", and we call this an opposition relation. This approach is in the spirit of the theory of twin buildings

Rainbow domination and related problems on some classes of perfect graphs

Let $k \in \mathbb{N}$ and let $G$ be a graph. A function $f: V(G) \rightarrow 2^{[k]}$ is a rainbow function if, for every vertex $x$ with $f(x)=\emptyset$, $f(N(x)) =[k]$. The rainbow domination number $\gamma_{kr}(G)$ is the minimum of $\sum_{x \in V(G)} |f(x)|$ over all rainbow functions. We investigate the rainbow domination problem for some classes of perfect graphs

Labour force participation and well-being among older New Zealanders

The population of New Zealand, along with those of other developed countries, is ageing rapidly. The rate of population ageing is unprecedented, with the number of New Zealanders aged 65 years and over projected to increase from 553,000 in 2009 to 1.07 million in 2031, and to 1.44 million in 2061. Importantly, the ratio of those aged 65 years and over to those aged 15–64 is projected to increase from 0.19 (older people per person aged 15–64) in 2009 to 0.34 in 2031 and to 0.43 in 2061. This more than doubling of the ratio of older people to those in the prime working and income-earning ages represents a dramatic demographic shift which has implications for New Zealand, particularly in terms of the ability to support New Zealand Superannuation (NZS) at current levels. • Michael P. Cameron teaches in the Department of Economics at the University of Waikato. Matthew Roskruge is with the National Institute of Demographic and Economic Analysis, University of Waikato

1996-10-08; Pamphlets; Homecoming Celebration for Henry P Cameron

https://digitalcommons.buffalostate.edu/lm_pamphlets/1068/thumbnail.jp

Delineation of Diverse Macrophage Activation Programs in Response to Intracellular Parasites and Cytokines

Macrophages are a type of immune cell that engulf and digest microorganisms. Despite their role in protecting the host from infection, many pathogens have developed ways to hijack the macrophage and use the cell for their own survival and proliferation. This includes the parasites Trypanosoma cruzi and Leishmania mexicana. In order to gain further understanding of how these pathogens interact with the host macrophage, we compared macrophages that have been infected with these parasites to macrophages that have been stimulated in a number of different ways. Macrophages can be activated by a wide variety of stimuli, including common motifs found on pathogens (known as pathogen associated molecular patterns or PAMPs) and cytokines secreted by other immune cells. In this study, we have delineated the relationships between the macrophage activation programs elicited by a number of cytokines and PAMPs. Furthermore, we have placed the macrophage responses to T. cruzi and L. mexicana into the context of these activation programs, providing a better understanding of the interactions between these pathogens and macrophages

Perceptions of nurse practitioners by emergency department doctors in Australia

BACKGROUND: The Australian Medical Association is strongly opposed to the nurse practitioner (NP) role with concerns that NPs may become doctor substitutes without the requisite training and education that the medical role demands. Despite this, NPs have been heralded by some as a potential solution to the access block, workforce shortage and increased demand affecting emergency departments (EDs). AIMS: The purpose of this study was to determine the perception of NPs by medical staff working in Australian EDs. METHODS: Semi-structured telephone interviews were conducted with closed and open-ended questions. Participants were drawn from a representative stratified sample of two city, two metropolitan and two provincial hospitals of each State/Territory. RESULTS: A total of 95 doctors from 35 EDs participated in this study including 36 Departmental Directors; 36% of participating Directors indicated having an NP on staff. Doctors were strongly opposed to the statement that NPs could replace either nurses or other prevocational doctors; 71 interviewees commented on the role of NPs in the ED. Thematic analyses revealed polarised views held by doctors. Eight major themes were identified, the most common being that there is a lack of clarity of the NP role definition, their scope of practice and differentiation from the medical role. CONCLUSION: Although ED NPs represent a highly skilled professional group their role is poorly understood by ED doctors. Opposition to the NP role is a significant barrier to the introduction of great numbers of ED NPs as a strategy to overcome the medical workforce shortage. ELECTRONIC SUPPLEMENTARY MATERIAL: The online version of this article (doi:10.1007/s12245-010-0214-8) contains supplementary material, which is available to authorized users