On state representations of time-varying nonlinear systems

This work considers a nonlinear time-varying system described by a state representation, with input u and state x. A given set of functions v, which is not necessarily the original input u of the system, is the (new) input candidate. The main result provides necessary and sufficient conditions for the existence of a local classical state space representation with input v. These conditions rely on integrability tests that are based on a derived flag. As a byproduct, one obtains a sufficient condition of differential flatness of nonlinear systems. (C) 2009 Elsevier Ltd. All rights reserved.

Biological features of a puzzling symbiotic association between the hermit crab Dardanus insignis and the porcellanid crab Porcellana Sayana (Crustacea)

The symbiotic lifestyle is widespread among porcellanid crabs, which maintain ecological and co-evolutionary associations with annelid polychaetes, poriferans, cnidarians, echinoderms, gastropod. mollusks, and other crustaceans such as shrimps and hermit crabs, among others. We investigated the ecological association between the hermit crab Dardanus insignis and the porcellanid Porcellana sayana, in southeastern Brazil. Porcellanid crabs, hermit crabs, and available shells were collected monthly from July 2001 to June 2003, with a shrimp boat equipped with two double-rig trawl nets. The majority of P. sayana specimens were collected in shells occupied by D. insignis (96.6%); a few were found in empty shells (3.4%). The catch of both symbionts and hosts increased with increasing depth, with the highest occurrence at 35 m. The F. sayana crabs of various sizes could be found solitary or forming aggregations of up to 14 individuals per host, showing no sex or size segregation. In spite of the high diversity of shell species occupied by the hermit crabs and also available in the field, only a few of them were also utilized by P. sayana. The majority (93%) of shells utilized by P. sayana also hosted other symbiont species, constituting the basis of extensive symbiotic complexes. Thus, the ecological relationship between D. insignis and P. sayana may be classified as a non-obligate and non-specific symbiosis that may also involve other facultative organisms such as sea anemones. (C) 2008 Elsevier B.V. All rights reserved.

Reliability and validity of the Brazilian-Portuguese version of the Burns Specific Pain Anxiety Scale (BSPAS)

Background: Pain and anxiety are a common problem in all recovery phases after a burn. The Burns Specific Pain Anxiety Scale (BSPAS) was proposed to assess anxiety in burn patients related to painful procedures. Objectives: To assess internal consistency, discriminative construct validity, dimensionality and convergent construct validity of the Brazilian-Portuguese version of the Burns Specific Pain Anxiety Scale. Design: In this cross-sectional study, the original version of the BSPAS, adapted into Brazilian Portuguese, was tested for internal consistency (Cronbach`s Alpha), discriminative validity (related to total body surface area burned and sex), dimensionality (through factor analysis), and convergent construct validity (applying the Visual Analogue Scale for pain and State-Anxiety-STAI) in a group of 91 adult burn patients. Results: The adapted version of the BSPAS displayed a moderate and positive correlation with pain assessments: immediately before baths and dressings (r = 0.32; p < 0.001), immediately after baths and dressings (r = 0.31; p < 0.001) and during the relaxation period (r= 0.31; p < 0.001) and with anxiety assessments (r = 0.34; p < 0.001). No statistically significant differences were observed when comparing the mean of the adapted version of the BSPAS scores with sex (p = 0.194) and total body surface area burned (p = 0.162) (discriminative validity). The principal components analysis applied to our sample seems to confirm anxiety as one single domain of the Brazilian-Portuguese version of the BSPAS. Cronbach`s Alpha showed high internal consistency of the adapted version of the scale (0.90). Conclusion: The Brazilian-Portuguese version of the BSPAS 9-items has shown statically acceptable levels of reliability and validity for pain-related anxiety evaluation in burn patients. This scale can be used to assess nursing interventions aimed at decreasing pain and anxiety related to the performance of painful procedures. (c) 2010 Elsevier Ltd. All rights reserved.