Hybrid automata Kowalewski, S.; Garavello, M.; Guéguen, H. ...
Handbook of Hybrid Systems Control,
10/2009
Book Chapter
Hybrid automata is a modeling formalism for hybrid systems that results from an extension of finite-state machines by associating with each discrete state a continuous-state model. Conditions on the ...continuous evolution of the system invoke discrete state transitions. A broad set of analysis methods is available for hybrid automata including methods for the reachability analysis, stability analysis, and optimal control.DefinitionA hybrid automaton is a transition system that is extended with continuous dynamics. It consists of locations, transitions, invariants, guards, n-dimensional continuous functions, jump functions, and synchronization labels. Various definitions exist in the literature which differ only in details. The following definition covers all of the aspects needed for the purpose of this handbook. A hybrid automaton consists of:a finite set of locations Q, q ∈ Q;a finite transition relation ⊖ ⊆ Q × Qfor the specification of the discrete dynamics. The locations can be seen as discrete states (also called control modes), in other words as the discrete part of the hybrid state space ℋ. Transitions from one control mode to the next are often called control switches. The continuous dynamics is described by:a finite and indexed set of continuous variables V = {x1, x2, …, xn}, often written as a vector x = (x1, …, xn);a real-valued activity function f : Q × ℝn → ℝn, often defined by a continuous differential equation ẋ = dx/dt = f(q, x).
The objective of this study is to report the experiences of PIBID Biology (Instituto Federal Goiano - Câmpus Urutaí), highlighting the actions performed in Activity of Biological Sciences; vision of ...supervisors fellows on the performance and contribution of the program at the school and contracted teacher training of undergraduates, as well as the vision of scholarship students about the importance of the subproject. To conduct this study we used a descriptive analytical methodology, through which the activities have been reported in a critical and reflective. The subproject of Biological Sciences (PIBID/IF Goiano - Câmpus Urutaí) currently has 15 scholarship students and 3 teachers supervisors Colégio Estadual Professor Ivan Ferreira (CEPIF), Pires do Rio, GO. In general, it can be said that the activities have positively affecting not only the scholarship students, but also the improvement of various aspects related to the teaching of biology in school contracted. The PIBID-biology has enabled its scholars an approximation of their future professional practice.
BACKGROUND: Comparison studies of calcineurin inhibitors as cornerstone immunosuppressants in renal transplantation have demonstrated that tacrolimus consistently reduces acute rejection rates and, ...in some studies, also improves long-term renal outcome in comparison to cyclosporin A (CsA). The aim of the present 2 year follow-up of the European Tacrolimus vs Cyclosporin A Microemulsion Renal Transplantation Study was to investigate long-term clinical outcome in terms of rate of acute rejection, graft and patient survival and graft function. METHODS: The European Tacrolimus vs Cyclosporin A Microemulsion Renal Transplantation Study was a randomized, comparative 6 month trial of the calcineurin inhibitors tacrolimus and CsA in combination with both azathioprine and steroids. The intent-to-treat population (ITT) consisted of 286 patients in the tacrolimus arm and 271 in the CsA microemulsion (CsA-ME) arm. Whereas whole blood level targets were 10-20 and 5-15 ng/ml for tacrolimus and 100-400 and 100-200 ng/ml for CsA during months 0-3 and 4-6, respectively, during the investigator-driven follow-up after termination of the main study (months 7-24) no specific calcineurin inhibitor target levels were required. Follow-up data were collected at 2 years post-transplantation from 237 (82.9% of the ITT population) patients who received tacrolimus and 222 (81.9% of the ITT population) patients who received CsA-ME. RESULTS: Calculated on ITT populations, mortality (2.0% vs 3.3%; P<0.05 in Kaplan-Meier analysis) was lower, but rate of graft loss (9.3% vs 11.2%; P = 0.12 in Kaplan-Meier analysis) was not significantly different after 2 years with tacrolimus- vs CsA-ME-based immunosuppression. Biopsy-proven acute rejection was significantly lower (19.6%) with tacrolimus than with CsA-ME (37.3%) during months 0-6 (P<0.0001), but was not significantly different during months 7-12 and 13-24 of follow-up (1.7% and 0.8% with tacrolimus and 4.7% and 0.9% with CsA-ME, respectively). A composite endpoint consisting of graft loss, patient death and biopsy-proven acute rejection occurred significantly more frequently in CsA-ME patients than in tacrolimus patients (42.8% vs 25.9%; P<0.001) during 24 months follow-up. Renal function 2 years post-transplant, measured by serum creatinine concentrations, was significantly better in tacrolimus-based compared with CsA-ME-based immunosuppression (136.9 vs 161.6 micromol/l; P<0.01). Cornerstone immunosuppression remained unchanged in 82.5% and 66.2% of patients treated with tacrolimus and CsA-ME, respectively. At 2 years, more patients in the tacrolimus arm were off steroids and received calcineurin inhibitor monotherapy, and fewer tacrolimus patients remained on a triple immunosuppressive regimen. The cardiovascular risk profile was affected favourably in the tacrolimus arm, with lower cholesterol and triglyceride concentrations (despite less use of cholesterol-lowering drugs); no significant difference in requirement for antidiabetic medication was noted. CONCLUSIONS: The 2 year study results confirm that tacrolimus is a highly efficacious cornerstone immunosuppressant in kidney transplantation. Tacrolimus-based immunosuppression may induce long-term benefits with regard to graft function and graft survival. The overall side-effect profile is considered to be favourable.
Interrelations between blood pressure, circulatory volume, plasma renin activity (PRA) and urinary catecholamine excretion rates were studied in normal subjects and patients with benign essential ...hypertension. Mean plasma or blood volumes related to lean body mass, products of blood volume and the logarithm of PRA, and catecholamine excretion rates did not differ significantly as between normal and hypertensive subjects. In both normal subjects and hypertensive patients, blood pressure correlated positively with noradrenaline excretion rate (r = 0.40 and 0.36 respectively; p less than 0.025), but not with adrenaline excretion, circulatory volume or the volume-renin product. The logarithm of PRA correlated inversely with mean blood pressure in normal subjects (r = -0.40; p less than 0.001), but not in hypertensive patients; however, there was no convincing evidence of an inappropriate blood pressure-PRA relationship as a prominent feature in the hypertensive patients. PRA did not correlate with blood volume. Patients with low PRA relative to sodium excretion (21% of hypertensive population) were consistently normovolemic, but tended to be older and excreted less (p less than 0.025) adrenaline than normal or high-PRA patients. The patient subgroup with high PRA relative to sodium excretion (11% of population) was hypovolemic (p less than 0.02); despite this, urinary sodium output was high (172 +/- 64 meq/24 hr). These data reveal no evidence for major roles of PRA, circulatory volume and free peripheral catecholamines in the maintenance of benign essential hypertension. Low-PRA essential hypertension is usually not a hypervolemic state, but may reflect diminished adrenergic activity, factors associated with aging and effects of a high systemic pressure. High PRA in benign essential hypertension may be at least partly a consequence of hypovolemia resulting from high blood pressure-induced sodium diuresis.
Studies in 55 patients with benign essential hypertension showed that the beta-blockers bufuralol (22 patients) and propranolol (33 patients) at a dose ratio of 1:4, possess comparable ...antihypertensive efficacy despite different properties regarding intrinsic sympathomimetic activity. Beta-blocker-monotherapy normalized blood pressure ( less than 140/90 mm Hg) in one fourth of the patients. Body weight and plasma and blood volumes remained unchanged during beta-blockade of four to six weeks duration, the mean plasma potassium was slightly increased. The inhibition of plasma renin activity (PRA) was more pronounced with propranolol (-69%) than with bufuralol (-47%). Wirth both beta-blockers decreases in blood pressure correlated inversely with pre-treatment PRA (p less than 0.05). Propranolol-induced changes in blood pressure correlated also with associated changes in PRA (p less than 0.005); in contrast, no such relationship was observed with bufuralol. The blood pressure effects of bufuralol, however, correlated significantly with changes in urinary noradrenaline excretion (r=0.41; p less than 0.05). Patient sub-groups with low, normal or high pre-treatment PRA in the average showed a comparable pattern of pre-treatment noradrenaline excretion and patients with normal renin levels exreted more adrenaline than those with low renin levels (p less than 0.001). These data are consistent with the concept that in untreated essential hypertension PRA may be an index of adrenergic activiity, the latter representing an important determinant of blood pressure response to beta-blockade. The blood pressure lowering effects of bufuralol in benign essential hypertension seem to be independent of renin and may be related, at least partly, to diminished free peripheral noradrenaline levels.