Branching processes and computational collapse of discretized unimodal mappings

In computer simulations of smooth dynamical systems, the original phase space is replaced by machine arithmetic, which is a finite set. The resulting spatially discretized dynamical systems do not inherit all functional properties of the original systems, such as surjectivity and existence of absolutely continuous invariant measures. This can lead to computational collapse to fixed points or short cycles. The paper studies loss of such properties in spatial discretizations of dynamical systems induced by unimodal mappings of the unit interval. The problem reduces to studying set-valued negative semitrajectories of the discretized system. As the grid is refined, the asymptotic behavior of the cardinality structure of the semitrajectories follows probabilistic laws corresponding to a branching process. The transition probabilities of this process are explicitly calculated. These results are illustrated by the example of the discretized logistic mapping.

A randomized control trial of nursing-based case management for patients with chronic obstructive pulmonary disease

This study assessed the impact of a randomized trial of nursing-based case management for patients with chronic obstructive pulmonary disease, their caregivers, and nursing and medical staff. Sixty-six patients were matched by FEV1 on admission to hospital, and randomized into an intervention or control group. Intervention group patients reported significantly less anxiety at 1 month postdischarge; however, this effect was not sustained. There was little difference between groups in terms of unplanned readmissions, depression, symptoms, support, and subjective well being. Interviews with patients and caregivers found that the case management improved access to resources and staff-patient communication. Interviews with nursing and medical staff found that case management improved communication between staff and enhanced patient care.

Adjustment to chronic obstructive pulmonary disease: the importance of psychological factors

Research has indicated a weak relationship between the degree of physical problems and quality of life in patients with chronic obstructive pulmonary disease (COPD). The importance of adaptive psychological functioning to maintain optimum quality of life has long been recognized, but there is a lack of empirical evidence concerning the nature of psychological factors involved in adjustment to COPD. Ninety-two males completed questionnaires to determine their coping strategies, levels of self-efficacy of symptom management and social support. Adjustment was measured in terms of depression, anxiety and quality of life. Symptom severity, socioeconomic status, duration of disease and age, which have been demonstrated to be of consequence in COPD, were used as control variables in hierarchical multiple regression analyses. Higher levels of catastrophic withdrawal coping strategies and lower levels of self-efficacy of symptom management were associated with higher levels of depression, anxiety and a reduced quality of life. Higher levels of positive social support were linked to lower levels of depression and anxiety, while higher levels of negative social support were linked to higher levels of depression and anxiety. To maximize quality of life in patients with chronic obstructive pulmonary disease, psychological factors need to be carefully assessed and addressed.

Cost comparison of hospital- and home-based treatment models for acute chronic obstructive pulmonary disease

This trial compared the cost of an integrated home-based care model with traditional inpatient care for acute chronic obstructive pulmonary disease (COPD). 25 patients with acute COPD were randomised to either home or hospital management following request for hospital admission. The acute care at home group costs per separation ($745, CI95% $595-$895, n = 13) were significantly lower (p < 0.01) than the hospital group ($2543, CI95% $1766-$3321, n = 12). There was an improvement in lung function in the hospital-managed group at the Outpatient Department review, decreased anxiety in the Emergency Department in the home-managed group and equal patient satisfaction with care delivery. Acute care at home schemes can substitute for usual hospital care for some patients without adverse effects, and potentially release resources. A funding model that allows adequate resource delivery to the community will be needed if there is a move to devolve acute care to community providers.

5-Hydroxytryptamine and platelets: uptake and aggregation in hypoxic pulmonary hypertensive rats

Pulmonary hypertension is associated with various alterations in 5-hydroxytryptamine (5-HT) physiology. In this study in platelets from hypoxic pulmonary hypertensive rats (10% O-2; 1 week) and normoxic rats (room air), (i) initial rates of specific [H-3]5-HT uptake were measured and (ii) potentiation of collagen- and ADP-induced aggregation by 5-HT was quantified. The platelet count was almost halved in hypoxic rats. In uptake experiments, there was a decrease in 5-HT uptake in platelets from hypoxic compared with normoxic rats, due to a 36% reduction in the maximal initial rate of uptake. The aggregation experiments showed that 5-HT (1-100 muM) increased the magnitude of responses to collagen and the duration of responses to ADP, but there was no difference between hypoxic and normoxic rats. Abnormalities in platelet function may conceivably lead to increases in plasma 5-HT levels in hypoxic pulmonary hypertension, but are unlikely to aggravate pulmonary thromboembolism. (C) 2002 Elsevier Science B.V. All rights reserved.

Potentiation of 5-hydroxytryptamine (5-HT) responses by a 5-HT uptake inhibitor in pulmonary and systemic vessels: effects of exposing rats to hypoxia

The aim was to determine whether uptake of 5-hydroxytryptamine (5-HT) by the 5-HT transporter (SERT) modulates contractile responses to 5-HT in rat pulmonary arteries and whether this modulation is altered by exposure of rats to chronic hypoxia (10% oxygen; 8 h/day; 5 days). The effects of the SERT inhibitor, citalopram (100 nM), on contractions to 5-HT were determined in isolated ring preparations of pulmonary artery (intralobar and main) and compared with data obtained in systemic arteries. In intralobar pulmonary arteries citalopram produced a potentiation (viz. an increase in potency, pEC(50)) of 5-HT. The potentiation was endothelium-dependent in preparations from normoxic rats but endothelium-independent in preparations from hypoxic rats. In main pulmonary artery endothelium-independent potentiation was seen in preparations from hypoxic rats but no potentiation occurred in preparations from normoxic rats. In systemic arteries, citalopram caused endothelium-independent potentiation in aorta but no potentiation in mesenteric arteries; there were no differences between hypoxic and normoxic rats. It is concluded that SERT can influence the concentration of 5-HT in the vicinity of the vasoconstrictor receptors in pulmonary arteries. The data suggest that in pulmonary arteries from hypoxic rats, unlike normoxic rats, the SERT responsible for this effect is not in the endothelium and, hence, is probably in the smooth muscle. The data are compatible with reports that, in the pulmonary circulation, hypoxia induces/up-regulates SERT, and hence increases 5-HT uptake, in vascular smooth muscle. The findings may have implications in relation to the suggested use of SERT inhibitors in the treatment of pulmonary hypertension.

Alterations in pulmonary vascular function in rats exposed to intermittent hypoxia

Vasoactive agents were examined in arteries from control rats and rats exposed to intermittent hypoxia (10% oxygen; 8 h/day) for 3, 5 or 20 days. Hypoxic rats developed right ventricular hypertrophy after 5 days, but became pulmonary hypertensive (elevated right ventricular systolic pressure; RVSP) only after 20 days. In pulmonary arteries (main and intralobar), responses to acetylcholine and ionomycin (endothelium-dependent vasodilators) were reduced after 20 and 5 days of intermittent hypoxia, whereas contractions to 5-hydroxytryptamine (5-HT) were enhanced (potency increase >10-fold) after 20, 5 and 3 days. Contractions to endothelin-1 and a thromboxane-mimetic, but not Ca-2divided by, were also increased. No changes in vascular function occurred in aorta. Since changes in pulmonary vascular function preceded the increase in RVSP they do not result from, but may contribute to, the development of hypoxia-induced pulmonary hypertension. If similar changes occur in humans, they may be important in conditions characterised by intermittent, as opposed to continuous, hypoxia. (C) 2003 Elsevier B.V. All rights reserved.

S-nitrosocaptopril: acute in-vivo pulmonary vasodepressor effects in pulmonary hypertensive rats

The effects of S-nitrosocaptopril (SNOcap), administered either intravenously or by oral gavage, on pulmonary artery pressure (PAP) were examined in anaesthetised normotensive rats and rats with hypoxic pulmonary hypertension (10% oxygen for 1 week). Mean PAP (MPAP) values in hypoxic and normoxic rats were (mmHg) 26 +/- 1.7 and 15 +/- 1.1, respectively. When given intravenously, 1 mg kg(-1) SNOcap reduced MPAP by 28 and 32% in hypoxic and normoxic rats, respectively. The effects of 2 mg kg(-1) were no greater than those of 1 mg kg(-1). Pulmonary vasoclepressor responses reached equilibrium in 1.7 +/- 0.18 min following intravenous administration. When given orally 30 min before the measurement of PAP, 30 mg kg(-1), but not 10 mg kg(-1), significantly reduced MPAP in hypoxic rats to 17 +/- 1.5 mmHg. These in-vivo data are consistent with previous in-vitro data showing that SNOcap has direct pulmonary vasorelaxant properties in both large and small pulmonary arteries and also show that SNOcap causes pulmonary vasodepression in the setting of pulmonary hypertension. Since SNOcap also inhibits pulmonary vascular angiotensin converting enzyme (ACE) in pulmonary blood vessels (previous study), it would be an interesting drug with which to assess the benefits of direct pulmonary vasodilatation combined with ACE inhibition (which attentuates pulmonary vascular remodelling) in a long-term study in pulmonary hypertension.