Lattices from maximal orders into quaternion algebras

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Adaptação transcultural do formulário POLST: Physician Orders for Life-Sustaining Treatment

Pós-graduação em Saúde Coletiva - FMB

Paternal Care Decreases Foraging Activity and Body Condition, but Does Not Impose Survival Costs to Caring Males in a Neotropical Arachnid

Exclusive paternal care is the rarest form of parental investment in nature and theory predicts that the maintenance of this behavior depends on the balance between costs and benefits to males. Our goal was to assess costs of paternal care in the harvestman Iporangaia pustulosa, for which the benefits of this behavior in terms of egg survival have already been demonstrated. We evaluated energetic costs and mortality risks associated to paternal egg-guarding in the field. We quantified foraging activity of males and estimated how their body condition is influenced by the duration of the caring period. Additionally, we conducted a one-year capture-mark-recapture study and estimated apparent survival probabilities of caring and non-caring males to assess potential survival costs of paternal care. Our results indicate that caring males forage less frequently than non-caring individuals (males and females) and that their body condition deteriorates over the course of the caring period. Thus, males willing to guard eggs may provide to females a fitness-enhancing gift of cost-free care of their offspring. Caring males, however, did not show lower survival probabilities when compared to both non-caring males and females. Reduction in mortality risks as a result of remaining stationary, combined with the benefits of improving egg survival, may have played an important and previously unsuspected role favoring the evolution of paternal care. Moreover, males exhibiting paternal care could also provide an honest signal of their quality as offspring defenders, and thus female preference for caring males could be responsible for maintaining the trait.

Male dimorphism of a neotropical arachnid: harem size, sneaker opportunities, and gonadal investment

Serracutisoma proximum is a harvestman with alternative male morphs. Large males use sexually dimorphic second legs in fights for the possession of territories on the vegetation, where females oviposit. Small males have short second legs and do not fight but rather sneak into the territories and copulate with egg-guarding females. We investigated the presence of male dimorphism across 10 populations of S. proximum, compared gonadal investment between male morphs, and assessed if the distribution of the sneakers is influenced by harem size. In all populations, there was male dimorphism, indicated by the bimodal distribution of the leg II length/body length. Gonadal investment did not differ between morphs and was not affected by male size, second leg length, and morph relative frequency in the populations. We found 361 territories, 90.0% containing 1 male, 9.7% containing 2 males (dyads), and 0.3% containing 3 males. The probability of encountering dyads increased with the number of females present in the territories. Moreover, the proportion of sneakers in territories containing dyads was higher than would be expected by chance. One possible reason for the ubiquity of alternative morphs in S. proximum could be the high mating opportunities experienced by sneakers in spatially structured populations with a resource defense polygyny system. Additionally, the high frequency of successful invasions by sneakers and hence the high sperm competition risk for both morphs may explain the similarity in gonadal investment between male morphs.

Ethnic differences in do-not-resuscitate orders after intracerebral hemorrhage.

OBJECTIVE: To explore ethnic differences in do-not-resuscitate orders after intracerebral hemorrhage. DESIGN: Population-based surveillance. SETTING: Corpus Christi, Texas. PATIENTS: All cases of intracerebral hemorrhage in the community of Corpus Christi, TX were ascertained as part of the Brain Attack Surveillance in Corpus Christi (BASIC) project. INTERVENTIONS: None. MEASUREMENTS AND MAIN RESULTS: Medical records were reviewed for do-not-resuscitate orders. Unadjusted and multivariable logistic regression were used to test for associations between ethnicity and do-not-resuscitate orders, both overall ("any do-not-resuscitate") and within 24 hrs of presentation ("early do-not-resuscitate"), adjusted for age, gender, Glasgow Coma Scale, intracerebral hemorrhage volume, intraventricular hemorrhage, infratentorial hemorrhage, modified Charlson Index, and admission from a nursing home. A total of 270 cases of intracerebral hemorrhage from 2000-2003 were analyzed. Mexican-Americans were younger and had a higher Glasgow Coma Scale than non-Hispanic whites. Mexican-Americans were half as likely as non-Hispanic whites to have early do-not-resuscitate orders in unadjusted analysis (odds ratio 0.45, 95% confidence interval 0.27, 0.75), although this association was not significant when adjusted for age (odds ratio 0.61, 95% confidence interval 0.35, 1.06) and in the fully adjusted model (odds ratio 0.75, 95% confidence interval 0.39, 1.46). Mexican-Americans were less likely than non-Hispanic whites to have do-not-resuscitate orders written at any time point (odds ratio 0.37, 95% confidence interval 0.23, 0.61). Adjustment for age alone attenuated this relationship although it retained significance (odds ratio 0.49, 95% confidence interval 0.29, 0.82). In the fully adjusted model, Mexican-Americans were less likely than non-Hispanic whites to use do-not-resuscitate orders at any time point, although the 95% confidence interval included one (odds ratio 0.52, 95% confidence interval 0.27, 1.00). CONCLUSIONS: Mexican-Americans were less likely than non-Hispanic whites to have do-not-resuscitate orders after intracerebral hemorrhage although the association was attenuated after adjustment for age and other confounders. The persistent trend toward less frequent use of do-not-resuscitate orders in Mexican-Americans suggests that further study is warranted.

Relative Predicativity and dependent recursion in second-order set theory and higher-orders theories

This article reports that some robustness of the notions of predicativity and of autonomous progression is broken down if as the given infinite total entity we choose some mathematical entities other than the traditional ω. Namely, the equivalence between normal transfinite recursion scheme and new dependent transfinite recursion scheme, which does hold in the context of subsystems of second order number theory, does not hold in the context of subsystems of second order set theory where the universe V of sets is treated as the given totality (nor in the contexts of those of n+3-th order number or set theories, where the class of all n+2-th order objects is treated as the given totality).

Hyperplane arrangements, interval orders, and trees.

A hyperplane arrangement is a finite set of hyperplanes in a real affine space. An especially important arrangement is the braid arrangement, which is the set of all hyperplanes xi - xj = 1, 1 orders and with the enumeration of trees. For instance, the number of labeled interval orders that can be obtained from n intervals I1,..., In of generic lengths is counted. There is also discussed an arrangement due to N. Linial whose number of regions is the number of alternating (or intransitive) trees, as defined by Gelfand, Graev, and Postnikov [Gelfand, I. M., Graev, M. I., and Postnikov, A. (1995), preprint]. Finally, a refinement is given, related to counting labeled trees by number of inversions, of a result of Shi [Shi, J.-Y. (1986), Lecture Notes in Mathematics, no. 1179, Springer-Verlag] that a certain deformation of the braid arrangement has (n + 1)n-1 regions.