Demographic faultlines in boards : impact of diversity and board size

Negative board diversity-organizational outcomes research findings have highlighted the importance of studying board demographic faultlines. Based on research gaps, this study focuses on gender diversity, age diversity, board size and faultlines formation in corporate boards. It proposes a positive linear diversity-faultlines relationship based on self-categorization and social identity theories, interaction effects of gender diversity and age diversity on faultlines based on contingency theories, and a U-shaped board size-faultlines strength relationship. The hypotheses were tested in 288 large companies listed on the Australian Securities Exchange using archival data. The results provided partial support for the interaction effects relationships and support to the U-shaped board size-faultlines strength relationship. The findings indicate that boards with low levels of age diversity experience a negative linear relationship between gender diversity and faultlines such that higher representation of women leads to weaker faultlines. The results also suggest that small- and large-sized boards experience stronger faultlines strength than medium-sized board. These results inform practice and underline implications of board demographic diversity and board size.

The dynamics of cellular automata on 2-manifolds is affected by topology

In this paper, we demonstrate that the distribution of Wolfram classes within a cellular automata rule space in the triangular tessellation is not consistent across different topological general. Using a statistical mechanics approach, cellular automata dynamical classes were approximated for cellular automata defined on genus-0, genus-1 and genus-2 2-manifolds. A distribution-free equality test for empirical distributions was applied to identify cases in which Wolfram classes were distributed differently across topologies. This result implies that global structure and local dynamics contribute to the long term evolution of cellular automata.

Interpreting scratch assays using pair density dynamics and approximate Bayesian computation

Quantifying the impact of biochemical compounds on collective cell spreading is an essential element of drug design, with various applications including developing treatments for chronic wounds and cancer. Scratch assays are a technically simple and inexpensive method used to study collective cell spreading; however, most previous interpretations of scratch assays are qualitative and do not provide estimates of the cell diffusivity, D, or the cell proliferation rate,l. Estimating D and l is important for investigating the efficacy of a potential treatment and provides insight into the mechanism through which the potential treatment acts. While a few methods for estimating D and l have been proposed, these previous methods lead to point estimates of D and l, and provide no insight into the uncertainty in these estimates. Here, we compare various types of information that can be extracted from images of a scratch assay, and quantify D and l using discrete computational simulations and approximate Bayesian computation. We show that it is possible to robustly recover estimates of D and l from synthetic data, as well as a new set of experimental data. For the first time, our approach also provides a method to estimate the uncertainty in our estimates of D and l. We anticipate that our approach can be generalized to deal with more realistic experimental scenarios in which we are interested in estimating D and l, as well as additional relevant parameters such as the strength of cell-to-cell adhesion or the strength of cell-to-substrate adhesion.