Models of collective cell motion for cell populations with different aspect ratio : diffusion, proliferation and travelling waves

Continuum, partial differential equation models are often used to describe the collective motion of cell populations, with various types of motility represented by the choice of diffusion coefficient, and cell proliferation captured by the source terms. Previously, the choice of diffusion coefficient has been largely arbitrary, with the decision to choose a particular linear or nonlinear form generally based on calibration arguments rather than making any physical connection with the underlying individual-level properties of the cell motility mechanism. In this work we provide a new link between individual-level models, which account for important cell properties such as varying cell shape and volume exclusion, and population-level partial differential equation models. We work in an exclusion process framework, considering aligned, elongated cells that may occupy more than one lattice site, in order to represent populations of agents with different sizes. Three different idealizations of the individual-level mechanism are proposed, and these are connected to three different partial differential equations, each with a different diffusion coefficient; one linear, one nonlinear and degenerate and one nonlinear and nondegenerate. We test the ability of these three models to predict the population level response of a cell spreading problem for both proliferative and nonproliferative cases. We also explore the potential of our models to predict long time travelling wave invasion rates and extend our results to two dimensional spreading and invasion. Our results show that each model can accurately predict density data for nonproliferative systems, but that only one does so for proliferative systems. Hence great care must be taken to predict density data for with varying cell shape.

For blood, sweat and tears : the severing of subconscious connections with company and business model

Humans have altered environments and enhanced their well being unlike any other creature on the planet (Heilman & Donna, 2007); this is no different whether the environment is ecological, social or organisational. In recent times business modelling techniques have become intricately detailed in the pre-designing and evaluating of business flow before the final implementation (Ou-Yang & Lin, 2008). The importance of the organisation change and business process model is undeniable. The feedback received from real business process users is that the notation is easy to learn; the models do help people to understand the process better; the models can be used to improve the (business) process; and the notation is expressive enough to capture the essential information (Bennett, Doshi, Do Vale Junior, Kumar, Manikam, & Madavan, 2009).

Designing radical business model innovation : a case study

“The process of innovation is often seen as being very linear, with research results, new technologies or user insights being channelled, often prematurely, into specific products and process” (Kyffin and Gardien 2009). It is precisely this perception of innovation-as-linear-process which this paper seeks to challenge. While there are many current theories and much contemporary literature available which discuss the management and catalysts of innovation, what is missing are examples of how innovation occurs from the application of these theories and literature (Wrigley & Bucolo 2010). This paper addresses both this gap and perceptions of the viability of linear innovation by presenting a case study for the commercialisation of a core technology (a cleantech, semi-portable mass-energy generator posited as a direct competitor to conventional energy provision systems), within an 18-month timeframe by the use of the Design-Led Innovation approach: “a process of creating a sustainable competitive advantage by radically changing the customer value proposition” (Bucolo & Matthews 2011).

Governing depression in Australian legal education : power, psychology and advanced liberal government

Legal educators in Australia have increasingly become concerned with the mental health of law students. The apparent risk posed by legal education to a student’s mental health has led to the deployment of a variety of measures to address these problems. By exploring these measures as productive power relations attempting to shape law students, this paper outlines how this government of depression is achieved, and the potential costs of these power relations. It examines one central Australian text offering advice about how students and law student societies can address depression, and argues that doing so not only involves students adopting particular practices of self-government to shape their legal personae, but also relies on an extension of the power relations of legal education. In addition, this paper will link this advice — which privatises the issue of depression, responsibilises individuals and communities, privileges psychological expertise, and seeks to govern ‘at a distance’ — to broader forms of social administration that presently characterise many Western societies. Doing so allows legal educators to reflect on the effects of their attempts to govern depression, and to consider new ways of altering the power relations of legal education.