Number and length of attractors in a critical Kauffman model with connectivity one

The Kauffman model describes a system of randomly connected nodes with dynamics based on Boolean update functions. Though it is a simple model, it exhibits very complex behavior for "critical" parameter values at the boundary between a frozen and a disordered phase, and is therefore used for studies of real network problems. We prove here that the mean number and mean length of attractors in critical random Boolean networks with connectivity one both increase faster than any power law with network size. We derive these results by generating the networks through a growth process and by calculating lower bounds.Comment: 4 pages, no figure, no table; published in PR

Notion of notation >< notation of notion

Choreo-graphic Figures: Deviations from the Line (2014–2017) is an interdisciplinary research project involving artist Nikolaus Gansterer, choreographer Mariella Greil and writer-artist Emma Cocker (working in dialogue with Alex Arteaga, Christine de Smedt and Lilia Mestre). The project unfolds through two interconnected aims: to explore the nature of 'thinking-feeling-knowing' operative within artistic practice, and to develop systems of notation for reflecting on this often hidden or undisclosed aspect of the creative process. We ask: What systems of notation can we develop for articulating the barely perceptible micro-movements and transitions at the cusp of awareness within the process of artistic "sense-making"? How might we communicate the instability and mutability of the flows and forces within practice, without fixing that which is contingent as a literal sign? Drawing on findings from the first year of the research project Choreo-graphic Figures: Deviations from the Line (including field-work undertaken during a month-long research residency within ImPulsTanz [Vienna, 2014] and a one-week residency-workshop working with researchers at a.pass [Centre of Advanced Performance & Scenography Studies, Brussels, 2015]), we consider notation (and its related technologies) through a diagramming of the multiple, at times competing, forces and energies operative as drawing, writing and choreography enter into dialogue through shared live artistic exploration. Conceived as two interweaving artists' pages we explore these concerns through two interrelated concepts: the notion and notation of (I) figuring and (II) the (choreo-graphic) figure

Attractor and Basin Entropies of Random Boolean Networks Under Asynchronous Stochastic Update

We introduce a numerical method to study random Boolean networks with asynchronous stochas- tic update. Each node in the network of states starts with equal occupation probability and this probability distribution then evolves to a steady state. Nodes left with finite occupation probability determine the attractors and the sizes of their basins. As for synchronous update, the basin entropy grows with system size only for critical networks, where the distribution of attractor lengths is a power law. We determine analytically the distribution for the number of attractors and basin sizes for frozen networks with connectivity K = 1.Comment: 5 pages, 3 figures, in submissio

The dynamics of critical Kauffman networks under asynchronous stochastic update

We show that the mean number of attractors in a critical Boolean network under asynchronous stochastic update grows like a power law and that the mean size of the attractors increases as a stretched exponential with the system size. This is in strong contrast to the synchronous case, where the number of attractors grows faster than any power law.Comment: submitted to PR

Pregnancy Loss and Distress Among U.S. Women

Although pregnancy loss—especially miscarriage— is a relatively common experience among reproductive-aged women, much of our understanding about the experience has come from small clinic-based or other nonrepresentative samples. We compared fertility-specific distress among a national sample of 1,284 women who have ever experienced a stillbirth or miscarriage. We found that commitment/attachment to pregnancy that ended in loss as well as current childbearing contexts and attitudes were associated with distress following pregnancy loss. Practitioners working with women or couples who have experienced pregnancy loss should be aware of the importance of characteristics associated with higher distress, such as whether the pregnancy had been planned, recency of the loss, no subsequent live births, having a medical explanation for the loss, a history of infertility, current childbearing desires, importance of motherhood, and locus of control over fertility

Responding to Infertility: Lessons From a Growing Body of Research and Suggested Guidelines for Practice

Infertility is a common, yet often misunderstood, experience. Infertility is an important topic for family scientists because of its effects on families; its relevance to research in related areas, such as fertility trends and reproductive health; and its implications for practitioners who work with individuals and couples experiencing infertility. In this review, we focus on common misperceptions in knowledge and treatment of infertility and highlight insights from recent research that includes men, couples, and people with infertility who are not in treatment. The meaning of parenthood, childlessness, awareness of a fertility problem, and access to resources are particularly relevant for treatment seeking and psychosocial outcomes. On the basis of insights from family science research, we provide specific guidelines for infertility practice within broader social contexts such as trends in health care, education, employment, and relationships. Guidelines are presented across three areas of application: infertility education for individuals, families, and practitioners; steps to support the emotional well-being of those affected by infertility; and understanding of treatment approaches and their implications for individuals and couples

Critical Kauffman networks under deterministic asynchronous update

We investigate the influence of a deterministic but non-synchronous update on Random Boolean Networks, with a focus on critical networks. Knowing that ``relevant components'' determine the number and length of attractors, we focus on such relevant components and calculate how the length and number of attractors on these components are modified by delays at one or more nodes. The main findings are that attractors decrease in number when there are more delays, and that periods may become very long when delays are not integer multiples of the basic update step.Comment: 8 pages, 3 figures, submitted to a journa

Fertility and Infertility: Toward an Integrative Research Agenda

In this article, we show that social science research on fertility and infertility consists of largely separate research traditions, despite shared interest in pregnancies and births (or lack thereof). We describe four ways these two traditions differ: (1) publication trajectories and outlets, (2) fields of study and major theoretical frameworks, (3) degree of attention to the other topic, and (4) language and definitions used. We then discuss why future integration of these bodies of research would be beneficial, outline potential steps toward rapprochement, and provide common areas of dialogue that could facilitate and enrich these bodies of research. We offer a more holistic framework using the reproductive career as an extension of existing lifecourse approaches in both fertility and infertility research. We conclude with a brief empirical example and discussion of methodological issues for measuring and modeling reproductive careers