A Monte Carlo Approach to Measure the Robustness of Boolean Networks

Emergence of robustness in biological networks is a paramount feature of evolving organisms, but a study of this property in vivo, for any level of representation such as Genetic, Metabolic, or Neuronal Networks, is a very hard challenge. In the case of Genetic Networks, mathematical models have been used in this context to provide insights on their robustness, but even in relatively simple formulations, such as Boolean Networks (BN), it might not be feasible to compute some measures for large system sizes. We describe in this work a Monte Carlo approach to calculate the size of the largest basin of attraction of a BN, which is intrinsically associated with its robustness, that can be used regardless the network size. We show the stability of our method through finite-size analysis and validate it with a full search on small networks.Comment: on 1st International Workshop on Robustness and Stability of Biological Systems and Computational Solutions (WRSBS

Critical Cooperation Range to Improve Spatial Network Robustness

A robust worldwide air-transportation network (WAN) is one that minimizes the number of stranded passengers under a sequence of airport closures. Building on top of this realistic example, here we address how spatial network robustness can profit from cooperation between local actors. We swap a series of links within a certain distance, a cooperation range, while following typical constraints of spatially embedded networks. We find that the network robustness is only improved above a critical cooperation range. Such improvement can be described in the framework of a continuum transition, where the critical exponents depend on the spatial correlation of connected nodes. For the WAN we show that, except for Australia, all continental networks fall into the same universality class. Practical implications of this result are also discussed

The zero-inflated promotion cure rate model applied to financial data on time-to-default

In this paper, we extend the promotion cure rate model studied in Yakovlev and Tsodikov (1996) and Chen et al. (1999) by incorporating an excess of zeros in the modeling. Despite relating covariates to the cure fraction, the current approach does not enable us to relate covariates to the fraction of zeros. The presence of excess of zeros in credit risk survival data stems from a group of loans that became defaulted shortly after the granting process. Through our proposal, all survival data available of customers is modeled with a multinomial logistic link for the three classes of banking customers: (i) individual with an event at the starting time (zero time), (ii) non-susceptible for the event, or (iii) susceptible for the event. The model parameter estimation is reached by the maximum likelihood estimation procedure and Monte Carlo simulations are carried out to assess its finite sample performance

An Investigation of the KFK_{F}-type Lorentz-Symmetry Breaking Gauge Models in N=1N=1-Supersymmetric Scenario

In this work, we present two possible venues to accomodate the $K_{F}$-type Lorentz-symmetry violating Electrodynamics in an $N=1$-supersymmetric framework. A chiral and a vector superfield are chosen to describe the background that signals Lorentz-symmetry breaking. In each case, the $\ K_{\mu \nu \kappa \lambda }$-tensor is expressed in terms of the components of the background superfield that we choose to describe the breaking. We also present in detail the actions with all fermionic partners of the background that determine $\ K_{\mu \nu \kappa \lambda }$.Comment: 10 page

Efeito da umidade do solo na biologia de Rhopalosiphum maidis (FITCH, 1856) (Hemiptera: aphididae) em milho.

O efeito da umidade do solo na biologia de Rhopalosiphum maidis (Fitch) em plantas de milho (Zea mays) foi avaliado em casa de vegetação. Foi utilizado o delineamento experimental inteiramente casualizado, com três tratamentos (20%, 40% e 100% de rotação hídrica) e quatro repetições, sendo cada parcela experimental constituída por um vaso de polietileno de cinco litros contendo duas plantas de milho no estádio fenológico três e com dez pulgões adultos confinados em microgaiolas de 10 mm de altura por 10 mm de diâmetro (cinco pulgões/microgaiola/planta), perfazendo um total de 40 pulgões/tratamento. As variáveis biológicas do pulgão estudadas foram: a duração de cada instar, dos períodos pré-reprodutivo, pós-reprodutivo e reprodutivo, a produção diária, total de ninfas e de alados e o ciclo de vida de R. maidis. Houve efeito da umidade do solo onde estavam as plantas de milho, tanto na duração do desenvolvimento dos pulgões, em cada um dos quatro ínstares, quanto na duração da fase ninfal, sendo que os pulgões que se desenvolveram em plantas de milho com défice de água de 80% completaram os estádios ninfais num menor período. De igual forma, o período reprodutivo e a longevidade dos adultos foram mais curtos nos pulgões que se desenvolveram em plantas de milho em solo com 20% da capacidade de campo. Porém, não houve efeito dos tratamentos na duração do período pós-reprodutivo. Por outro lado, adultos de pulgões que se desenvolveram nas plantas em solo com 20% da água necessária produziram a primeira ninfa num menor período do que os desenvolvidos nas plantas que receberam 40% de água na capacidade de campo. Pulgões cuja fase jovem ocorreu em plantas de milho sob estresse hídrico de 80% desapareceram mais rapidamente do que aqueles desenvolvidos em plantas sob regime de estresse hídrico de 60%. Esses resultados indicam que o manejo da água no milho pode ser uma estratégia no controle de fatores naturais que afetam tanto a população como o número de gerações do pulgão no ambiente, podendo reduzir a necessidade do controle químico

Priority setting for restoration in surrounding savannic areas of the Brazilian Pantanal based on soil loss risk and agrarian structure.

ABSTRACT. Soil health is at the core of the sustainability agenda. As in many agroecosystems in the tropics, soil erosion is a major issue in poorly managed pasturelands. A noteworthy case is located in the Upper Taquari River Basin (UTRB), as part of the Upper Paraguay Basin on the plateau with drainage waters for the Taquari megafan in the Brazilian Pantanal. Here we combine slope (S-factor), erodibility (E-factor), rainfall-rainy day ratio (R-factor), and vegetation and soil indices (C-factor) to locate erosion risk and prioritize eco-engineering interventions via palisades and small dams in UTRB. The method consisted of assessing distinct weights between Universal Soil Loss Equation (USLE) factors in a GIS platform, providing 35 combinations of classes as low, moderate, high, and very high erosive risk. The validation of the method was based on the ravine and plain ground truths obtained from high-resolution raster data. The best weight of USLE factors aids to locate critical erosive sites and vegetation patterns. Then, erosion risk and interventions were analyzed according to land use and rural property sizes in the government?s Rural Environmental Registry (CAR) database. Overall, the natural factors of slope and erodibility in a proportion of 25% and 75% in GIS algebra provided the best mapping accuracy result. About 65% of the UTRB has high or very high erosion risks, and 70% of the available area can be acknowledged as degraded pasturelands. A total of 4744 erosion interventions were recorded, with an accuracy of 65.28% and 61.15% for check dams and palisades interventions, respectively. The number of necessary interventions in areas of native vegetation was almost 50% higher than in pasturelands. Even though micro landowners occupy most of the watershed, large properties have about ten times as many areas at high risk of erosion. The mutual cooperation between properties, independently of size, is supported by governmental public policies like incentives for ecosystem services restoration of critical gullies, with CAR compliance and fiscalization