Stability of the personal relationship networks in a longitudinal study of middle school students.

The personal network of relationships is structured in circles of friendships, that go from the most intense relationships to the least intense ones. While this is a well established result, little is known about the stability of those circles and their evolution in time. To shed light on this issue, we study the temporal evolution of friendships among teenagers during two consecutive academic years by means of a survey administered on five occasions. We show that the first two circles, best friends and friends, can be clearly observed in the survey but also that being in one or the other leads to more or less stable relationships. We find that being in the same class is one of the key drivers of friendship evolution. We also observe an almost constant degree of reciprocity in the relationships, around 60%, a percentage influenced both by being in the same class and by gender homophily. Not only do our results confirm the mounting evidence supporting the circle structure of human social networks, but they also show that these structures persist in time despite the turnover of individual relationships-a fact that may prove particularly useful for understanding the social environment in middle schools.

Free-energy density functional for Strauss's model of transitive networks.

Ensemble models of graphs are one of the most important theoretical tools to study complex networks. Among them, exponential random graphs (ERGs) have proven to be very useful in the analysis of social networks. In this paper we develop a technique, borrowed from the statistical mechanics of lattice gases, to solve Strauss's model of transitive networks. This model was introduced long ago as an ERG ensemble for networks with high clustering and exhibits a first-order phase transition above a critical value of the triangle interaction parameter where two different kinds of networks with different densities of links (or, alternatively, different clustering) coexist. Compared to previous mean-field approaches, our method describes accurately even small networks and can be extended beyond Strauss's classical model-e.g., to networks with different types of nodes. This allows us to tackle, for instance, models with node homophily. We provide results for the latter and show that they accurately reproduce the outcome of Monte Carlo simulations.

Chimpanzees organize their social relationships like humans.

Human relationships are structured in a set of layers, ordered from higher (intimate relationships) to lower (acquaintances) emotional and cognitive intensity. This structure arises from the limits of our cognitive capacity and the different amounts of resources required by different relationships. However, it is unknown whether nonhuman primate species organize their affiliative relationships following the same pattern. We here show that the time chimpanzees devote to grooming other individuals is well described by the same model used for human relationships, supporting the existence of similar social signatures for both humans and chimpanzees. Furthermore, the relationship structure depends on group size as predicted by the model, the proportion of high-intensity connections being larger for smaller groups.

Evolution of social relationships between first-year students at middle school: from cliques to circles.

People organize their social relationships under a restriction on the number that a single individual can maintain simultaneously (the so-called Dunbar's number, ~150). Additionally, personal networks show a characteristic layered structure where each layer corresponds to relationships of different emotional closeness. This structure, referred to as Dunbar's circles, has mostly been considered from a static viewpoint, and their structure and evolution is largely unexplored. Here we study the issue of the evolution of the structure of positive and negative relationships in early adolescence by using data from students in their first year at middle school obtained from surveys conducted in class in two different waves separated by several months. Our results show that, initially, students have a lower number of total relationships but the majority are more intense and over time they report a higher number of total relationships, but the more intense relationships appear in a lower proportion. We have also found differences in the structure of communities at both temporal moments. While in the first instance the communities that appeared are mixed, made up of both boys and girls, in the second they changed so that they were separated primarily by gender. In addition, the size of each community was stabilized around 15 people, which coincides with the size of the second Dunbar's circle, known as the sympathy group in social psychology. As a consequence, in groups with around 20 students of the same gender, they tend to split in two separate communities of about 10 each, below the second Dunbar's circle threshold. On the other hand, groups with more stable community structure appear to go through the inverse process of friendship evolution, becoming more focused on their best relationships. All these results suggest how the layered structure of the personal network, as well as the community structure of the social network, emerge directly from the union of both positive and negative relationships. Thus, we provide a new perspective about its temporal evolution that may have relevant applications to improve school life and student performance.

Generation of new cytotoxic human ribonuclease variants directed to the nucleus.

Ribonucleases are promising agents for use in anticancer therapy. Engineering a nuclear localization signal into the sequence of the human pancreatic ribonuclease has been revealed as a new strategy to endow this enzyme with cytotoxic activity against tumor cells. We previously described a cytotoxic human pancreatic ribonuclease variant, named PE5, which is able to cleave nuclear RNA, inducing the apoptosis of cancer cells and reducing the amount of P-glycoprotein in different multidrug-resistant cell lines. These results open the opportunity to use this ribonuclease in combination with other chemotherapeutics. In this work, we have investigated how to improve the properties of PE5 as an antitumor drug candidate. When attempting to develop a recombinant protein as a drug, two of the main desirable attributes are minimum immunogenicity and maximum potency. The improvements of PE5 have been designed in both senses. First, in order to reduce the potential immunogenicity of the protein, we have studied which residues mutated on PE5 can be reverted to those of the wild-type human pancreatic ribonuclease sequence without affecting its cytotoxicity. Second, we have investigated the effect of introducing an additional nuclear localization signal at different sites of PE5 in an effort to obtain a more cytotoxic enzyme. We show that the nuclear localization signal location is critical for the cytotoxicity. One of these variants, named NLSPE5, presents about a 10-fold increase in cytotoxicity respective to PE5. This variant induces apoptosis and kills the cells using the same mechanism as PE5.