In this paper, a new framework for model order reduction of LTI parametric systems is introduced. After generating and reducing several local original models in the parameter space, a parametric reduced-order model is calculated by interpolating the system matrices of the local reduced models. The main task is to find compatible system representations with optimal interpolation properties. Two approaches for this purpose are presented together with several numerical simulations.Zusammenfassung In diesem Beitrag wird ein neuer Rahmen zur Modellordnungsreduktion parametrischer LZI-Systeme vorgestellt. Er sieht zunächst die Reduktion des Originalmodells in einigen Stützstellen des Parameterraums vor. Anschließend wird ein reduziertes parametrisches System generiert, indem die Systemmatrizen der lokalen Reduktionen durch geeignete Transformationen kompatibel gemacht und interpoliert werden. Hierfür werden zwei alternative Verfahren beschrieben, deren Eigenschaften an drei numerischen Testfällen dargestellt werden.

The possibility that vasopressin plays a role in cardiovascular control arouses increasing interest. We studied in unanesthetized dogs the hemodynamic consequences of 1-hour vasopressin infusions that modified plasma concentrations over a range similar to that found in physiological situations. We also examined the cardiovascular events following the stimulation of endogenous vasopressin release by an increase in plasma osmolality. In dogs with baroreceptor reflexes intact, vasopressin infusions which increased plasma vasopressin concentration by 2-20 fmol/ml did not affect mean arterial pressure. However, they significantly decreased cardiac ouput (measured by an electromagnetic flowmeter) and increased total peripheral resistance. After baroreceptor denervation, vasopressin infusion rates as low as 40 fmol/kg per min (0.017 microU/kg per min) led to an increase in mean arterial pressure. Cardiac output was unaffected until much higher infusion rates were used. Changes in total peripheral resistance were very similar to those calculated in dogs with intact baroreceptors. The release of vasopressin following infusions of hypertonic solutions either intravenously or into a carotid artery induced detectable hemodynamic changes which appeared in many respects similar to those following low infusion rates of vasopressin. We conclude that physiological plasma concentrations of vasopressin have hemodynamic effects even though they do not normally modify arterial pressure, presumably because of some particular interaction of vasopressin with the baroreceptor reflex.

We introduce a new model for gas dynamics in pipe networks by asymptotic analysis. The model is derived from the isothermal Euler equations. We present the derivation of the model as well as numerical results illustrating the validity and its properties. We compare the new model with existing models from the mathematical and engineering literature. We further give numerical results on a sample network

During the onset of malignant hypertension (MH) in rats treated with deoxycorticosterone trimethylacetate (DOC), plasma arginine vasopressin (AVP) concentrations increase tenfold as a consequence of hypovolemia and hyperosmolality. In benign hypertensive (BH) rats, plasma AVP is increased threefold in comparison with control animals. Plasma renin is markedly suppressed in both BH and MH animals. In MH rats, biologically active AVP antiserum lowers blood pressure (BP) transiently to normal or subnormal levels; in BH rats, a small BP-lowering effect of the AVP antiserum is seen. (Biologically active angiotensin II antiserum does not lower BP in MH rats.) The relationship between the height of BP and plasma AVP concentration in DOC hypertensive rats indicates, when compared with that relationship in diabetes insipidus rats infused with AVP, a marked enhancement of the vasopressor effect of AVP. These findings and the earlier observation of vasopressin-induced vascular damage by Byrom (F. B. Byrom, The Hypertensive Vascular Crisis. London: Heinemann, 1969) strongly suggest that ADH is involved as a vasopressor hormone in the pathogenesis of malignant DOC hypertension.

The administration of corticosterone for 5 consecutive days to normal rats on a standard sodium intake induced negative sodium and water balance. These effects were opposite those observed under DOCA treatment. However, not only under DOCA but also under corticosterone treatment extracellular fluid volume (ECFV) and plasma volume (PV) increased, and blood pressure (BP) rose in parallel. Plasma renin and angiotensin II concentrations declined under the influence of both steroids. Plasma arginine vasopressin concentrations increased under DOCA, whereas they transiently decreased under corticosterone administration. These data suggest that the common mediator for BP elevation due to steroid excess would be an increase in ECFV and PV. The pathways by which this increase is achieved seem to be different. Under DOCA treatment ECFV and PV increased subsequent to renal sodium and water retention. Under corticosterone, however, sodium and water were shifted from intra- to extracellular compartments, and a fraction of this shifted sodium and water was conserved in extracellular space, most likely because corticosterone also affected renal sodium handling.

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In male Sprague-Dawley rats, renal artery constriction in the presence of an inact contralateral kidney induced sodium retention (for 2-3 wk), moderate potassium loss,elevation of blood volume (BV), and an increase in water turnover. It is suggestedthat renal artery constriction activates the renin-angiotensin-aldosterone system, resulting in disordered regulation of salt and water balance and in blood pressure (BP) elevation. Subsequently, sodium balance was reestablished in one group of hypertensive rats. The previously retained sodium was kept in the body, and BV and reninactivity remained elevated. In a second group of animals, a malignant course of hypertension developed: BP surpassed a critical level of about 180 mmHg; sodium, potassium, and water were lost; BV declined; renin activity was further stimulated; and in the contralateral kidney malignant nephrosclerosis occurred. It is assumed that pressure diuresis and natriuresis induce a vicious circle: the increasing renin activity may maintain or further increase BP level, therby inducing further salt and water loss, etc.; high BP levels and high renin activities induce vascular damage and deterioration of renal function.

In rats with unilateral renal artery stenosis and an intact contralateral kidney, a malignant course of hypertension (MH) may develop, which is characterized by 1) high BP levels, 2) sodium and water loss and a polyuric-polydipsic syndrome, 3) marked activation of the renin-angiotensin system, 4) malignant nephrosclerosis in the contralateral kidney and high plasma urea concentrations, and 5) deterioration of the animals' general condition. (Some rats exhibit signs of a cerebral vascular crisis; some rats die). When such rats are offered in addition to water 0.9% NaCl, they compulsively drink the saline, BP falls for some days to levels found in the other hypertensive animals, and signs of MH nearly or completely disappear. It is concluded that high saline intake has, for a limited period, a beneficial effect on the malignant course of renal hypertension in rats. The observations made are consistent with the hypothesis that salt and water loss, which ensue subsequent to an increase of BP into a critical high range might trigger the onset of malignant hypertension.