Social network size in humans

This paper examines social network size in contemporary Western society based on the exchange of Christmas cards. Maximum network size averaged 153.5 individuals, with a mean network size of 124.9 for those individuals explicitly contacted; these values are remarkably close to the group size of 150 predicted for humans on the basis of the size of their neocortex. Age, household type, and the relationship to the individual influence network structure, although the proportion of kin remained relatively constant at around 21%. Frequency of contact between network members was primarily determined by two classes of variable: passive factors (distance, work colleague, overseas) and active factors (emotional closeness, genetic relatedness). Controlling for the influence of passive factors on contact rates allowed the hierarchical structure of human social groups to be delimited. These findings suggest that there may be cognitive constraints on network size. This project was funded by a grant from Hewlett Packard Research Laboratories (Bristol) and the Economic and Social Research Council (ESRC). The support of the ESRC is gratefully acknowledged. This work was part of the programme of the ESRC Research Centre for Economic Learning and Social Evolution (ELSE). Russell Hill (B.Sc., M.Phil, Ph.D.) is an Addison Wheeler Research Fellow at the University of Durham. His main research interests are in the evolution of mammalian social systems. Robin Dunbar (B.A., Ph.D.) is a professor of evolutionary psychology at the University of Liverpool. His research interests span mammalian behavioral ecology, including humans, cognitive mechanisms, and Darwinian psychology.     

Social behavior of the yeast protein-protein interaction network

Protein-protein interaction networks are useful in contextual annotation of protein function and in general to achieve a system-level understanding of cellular behavior. This work reports on the social behavior of the yeast protein-protein interaction network and concludes that it is non-random. This work, while providing an analysis of organization of genes into functional societies, can potentially be useful in assessing the accuracy of contextual gene annotation based on such interaction networks.     

Dynamic instabilities in microtubule cytoskeleton. A phase diagram

Instabilities in the growth and depolymerization of microtubules are considered in the framework of self-organization theory. An extended reaction-diffusion model for the microtubule dynamics has been formulated. A phase diagram of microtubule cytoskeleton has been constructed, which determines the regions of stability for steady and nonstationary solutions of the model. It is shown that the instabilities in microtubule dynamics result from kinetic nonequilibrium phase transitions. On the basis of phase diagram structure, a general classification of the microtubule cytostatic regulatory factors is suggested. The problem of mutual amplification of the activity of cytostatic agents is discussed.     

The potential diagram for oxygen at pH 7.

Successive one-electron reductions of molecular oxygen yield the superoxide radical (O2-) H2O2, the hydroxyl radical (OH) and water. Redox potentials at pH 7 for one-, two- and four-electron couples involving these states are presented as a potential diagram. The significance of each of these potentials is explained. The complete potential diagram enables complex systems to be rationalized, such as production of OH by H2O2 plus Fe3+.     

Ultrasonic Cole-Cole diagram for solutions and application to alpha-chymotrypsin.

Deconvolution of ultrasonic data into single relaxations is rarely feasible when only the absorption or the velocity of the waves is measured. Here we use both series of data to construct a Cole-Cole diagram for a solution. When applied to alpha-chymotrypsin, this method shows two relaxations that are well separated on the time scale, a result that will help simplify analyses of the ultrasonic data for this enzyme.     

Three-state diagram for DNA

Experimental phase diagrams (A form, B form, Coil) were built in the coordinates (a, alcohol fraction: T, temperature) for the natural DNAs and poly d(A-T). The main parameter of the B-A transition,-cooperativity length, nu o, was estimated by the slopes of the branches A-B, A-Coil, B-Coil in the vicinity of the triple point: nu o = 10-20 base pairs, which corresponds to the energy for the B/A junction of 1.2-1.8 kcal/mol. We discovered two new effects which are due to the coexistence of the three different conformations in one polymeric molecule: an increase in the melting temperature above that for the 'ideal' triple point (i.e. for the case of the ideal phase transitions); a widening of the melting curve within the B-A transition range.     

Social cognition on the Internet: testing constraints on social network size

The social brain hypothesis (an explanation for the evolution of brain size in primates) predicts that humans typically cannot maintain more than 150 relationships at any one time. The constraint is partly cognitive (ultimately determined by some aspect of brain volume) and partly one of time. Friendships (but not necessarily kin relationships) are maintained by investing time in them, and failure to do so results in an inexorable deterioration in the quality of a relationship. The Internet, and in particular the rise of social networking sites (SNSs), raises the possibility that digital media might allow us to circumvent some or all of these constraints. This allows us to test the importance of these constraints in limiting human sociality. Although the recency of SNSs means that there have been relatively few studies, those that are available suggest that, in general, the ability to broadcast to many individuals at once, and the possibilities this provides in terms of continuously updating our understanding of network members' behaviour and thoughts, do not allow larger networks to be maintained. This may be because only relatively weak quality relationships can be maintained without face-to-face interaction.     

Phase diagram relationships in cryobiology

The reactions which occur during freezing in biological systems employing DMSO as a cryoprotective agent may well involve information given by a near equilibrium ternary H₂O-DMSO-NaCl phase diagram. The initial freezing point depressions for solutions with three different DMSO-NaCl initial ratios (R) have been determined over the onefold surface of ice saturation. DMSO has been shown to be more effective in reducing NaCl concentration in the residual liquid than had been previously predicted. The temperature and the fraction solid which must be reached for the occurrence of second phase coprecipitation with ice have been shown to be a strong function of initial R value. Ternary invariant reactions have been identified at ?35 °C, and tentatively identified at ?115 and ?105 °C for solutions having DMSO/NaCl ratios of R = 9, 5, and 1, respectively. Metastable nonequilibrium phase formation has been observed for slow cooling of a solution with R = 1. This metastable condition results in different phase relationships upon thawing than upon the initial freezing. By quenching the system after partial rewarming, it has been demonstrated that this metastable condition can be eliminated.     

Chlorophyll a in bilayer membranes. I. The thermal phase diagram with distearoylphosphatidylcholine

Several groups have introduced chlorophyll a into artificial bilayer membranes in an attempt to develop a model system for studying the behavior of chlorophyll in the photosynthetic membrane. In order to investigate the organization of chlorophyll in these model systems, mixed bilayer systems containing chlorophyll a and distearoylphosphatidylcholine under conditions of excess water have been studied by differential thermal analysis. The resulting data suggest a phase diagram for this system consisting of a double eutectic with formation of a thermodynamic compound of defined stoichiometry between chlorophyll a and phospholipid at temperatures below the liquidus. The phase diagram may be simulated to obtain thermodynamic parameters characteristic of the compound phase. It is apparent that the organization and intermolecular interactions of chlorophyll in a bilayer membrane can very widely depending on the temperature and composition of the system. In particular, phase separation can occur within the membrane over certain temperature ranges, resulting in an inhomogeneous system. Thus in interpreting the physical and spectroscopic properties of chlorophyll a in bilayer membranes, it is essential to consider the phase state of the membrane and the organization and environment of the chlorophyll in the particular phase.     

Behind the folding funnel diagram

This Commentary clarifies the meaning of the funnel diagram, which has been widely cited in papers on protein folding. To aid in the analysis of the funnel diagram, this Commentary reviews historical approaches to understanding the mechanism of protein folding. The primary role of free energy in protein folding is discussed, and it is pointed out that the decrease [corrected] in the configurational entropy as the native state is approached hinders folding, rather than guiding it. Diagrams are introduced that provide a less ambiguous representation of the factors governing the protein folding reaction than the funnel diagram.