Annealed and Mean-Field formulations of Disease Dynamics on Static and Adaptive Networks

We use the annealed formulation of complex networks to study the dynamical behavior of disease spreading on both static and adaptive networked systems. This unifying approach relies on the annealed adjacency matrix, representing one network ensemble, and allows to solve the dynamical evolution of the whole network ensemble all at once. Our results accurately reproduce those obtained by extensive numerical simulations showing a large improvement with respect to the usual heterogeneous mean-field formulation. Moreover, by means of the annealed formulation we derive a new heterogeneous mean-field formulation that correctly reproduces the epidemic dynamics.Comment: 5 pages, 3 Figures. Final version published in Physical Review E (Rapid Comm.

Immunization of Real Complex Communication Networks

Most communication networks are complex. In this paper, we address one of the fundamental problems we are facing nowadays, namely, how we can efficiently protect these networks. To this end, we study an immunization strategy and found that it works as good as targeted immunization, but using only local information about the network topology. Our findings are supported with numerical simulations of the Susceptible-Infected-Removed (SIR) model on top of real communication networks, where immune nodes are previously identified by a covering algorithm. The results provide useful hints in the way to design and deploying a digital immune system.Comment: 6 pages. To appear in the European Physical Journal B (2006

An integrative approach for modeling and simulation of Heterocyst pattern formation in Cyanobacteria strands

A comprehensive approach to cellular differentiation in cyanobacteria is developed. To this aim, the process of heterocyst cell formation is studied under a systems biology point of view. By relying on statistical physics techniques, we translate the essential ingredients and mechanisms of the genetic circuit into a set of differential equations that describes the continuous time evolution of combined nitrogen, PatS, HetR and NtcA concentrations. The detailed analysis of these equations gives insight into the single cell dynamics. On the other hand, the inclusion of diffusion and noisy conditions allows simulating the formation of heterocysts patterns in cyanobacteria strains. The time evolution of relevant component concentrations are calculated allowing for a comparison with experiments. Finally, we discuss the validity and the possible improvements of the model.Comment: 20 pages (including the supporting information), 8 figure

Communicability reveals a transition to coordinated behavior in multiplex networks

We analyse the flow of information in multiplex networks by means of the communicability function. First, we generalize this measure from its definition from simple graphs to multiplex networks. Then, we study its relevance for the analysis of real-world systems by studying a social multiplex where information flows using formal/informal channels and an air transportation system where the layers represent different air companies. Accordingly, the communicability, which is essential for the good performance of these complex systems, emerges at a systemic operation point in the multiplex where the performance of the layers operates in a coordinated way very differently from the state represented by a collection of unconnected networks

Mutual information rate and bounds for it

The amount of information exchanged per unit of time between two nodes in a dynamical network or between two data sets is a powerful concept for analysing complex systems. This quantity, known as the mutual information rate (MIR), is calculated from the mutual information, which is rigorously defined only for random systems. Moreover, the definition of mutual information is based on probabilities of significant events. This work offers a simple alternative way to calculate the MIR in dynamical (deterministic) networks or between two data sets (not fully deterministic), and to calculate its upper and lower bounds without having to calculate probabilities, but rather in terms of well known and well defined quantities in dynamical systems. As possible applications of our bounds, we study the relationship between synchronisation and the exchange of information in a system of two coupled maps and in experimental networks of coupled oscillators

Agta hunter–gatherer oral microbiomes are shaped by contact network structure

Here we investigate the effects of extensive sociality and mobility on the oral microbiome of 138 Agta hunter–gatherers from the Philippines. Our comparisons of microbiome composition showed that the Agta are more similar to Central African BaYaka hunter–gatherers than to neighbouring farmers. We also defined the Agta social microbiome as a set of 137 oral bacteria (only 7% of 1980 amplicon sequence variants) significantly influenced by social contact (quantified through wireless sensors of short-range interactions). We show that large interaction networks including strong links between close kin, spouses and even unrelated friends can significantly predict bacterial transmission networks across Agta camps. Finally, we show that more central individuals to social networks are also bacterial supersharers. We conclude that hunter–gatherer social microbiomes are predominantly pathogenic and were shaped by evolutionary tradeoffs between extensive sociality and disease spread

Medellín Origin Destination Survey 2005

Medellin Origin-destination survey (dated back to 2005-2006). Data gathered by Universidad Nacional de Colombia for Area Metropolitana del Valle de Aburrá (cite as: AREA Metropolitana del Valle de Aburrá 2006. Chapter 2: Diagnóstico. Formulación del Plan Maestro de Movilidad para la Región Metropolitana del Valle de Aburrá. Informe Final pp. 102-108 and Universidad Nacional de Colombia and AREA Metropolitana del Valle de Aburrá 2006. Encuesta origen destino de viajes 2005 del Valle de Aburrá, estudios de tránsito complementarios y validación. Technical Report). Column description: ORIG describes the id of the origin zone of the trip (from 1 to 413). DEST the id of the destination zone (from 1 to 413). EST indicates the "estrato" or socioeconomic class/status of the household of the traveler (1 the lowest income householders and 6 the richest). HSAL indicates the departure hour (decimal) of the trip, HLLEG the arrival hour (decimal) of the trip, MOT indicates the purpose of trip (1 work, 2 study, 3 shopping, 4 health, 5 recreation, 6 return home, 7 others), HMV describes the mean hour of trip, FEV is the expansion factor of the survey

Data from: Graph analysis of cell clusters forming vascular networks

This manuscript describes the experimental observation of vasculogenesis in chick embryos by means of network analysis. The formation of the vascular network was observed in the area opaca of embryos from 40 to 55 hours of development. On area opaca endothelial cell clusters self-organize as a primitive and approximately regular network of capillaries. The process was observed by bright-field microscopy in control embryos and in embryos treated with Bevacizumab (Avastin®), an antibody that inhibits the signalization of the vascular endothelial growth factor VEGF. The sequence of images of the vascular growth were thresholded, and used to quantify the forming network on control and Avastin-treated embryos. This characterization is made by measuring vessels density, number of cell clusters, and the largest cluster density. From the original images the topology of the vascular network was extracted and characterized by means of the usual network metrics such as: the degree distribution, average clustering coefficient, average short path length, and assortativity among others. This analysis allows to monitor how the largest connected cluster of the vascular network evolves in time and provides with quantitative evidences of the disruptive effects that Avastin has on the tree structure of vascular networks