Estimation of open-loop gain of rapidly acting arterial pressure control system in rats

The overall open-loop gain of the rapidly acting arterial pressure control system was estimated in rats. Wistar male animals were bled by 6 ml/kg body weight. The open-loop gain of the rapidly acting arterial pressure control system was estimated as the relation between the fall of arterial pressure produced by the haemorrhage and the difference between control arterial pressure and the steady state reached after the recovery of the haemorrhage. The results observed suggest that the rapidly acting arterial pressure control system is less developed in the rat than in others Mammals.     

A neural set point for the long-term control of arterial pressure: beyond the arterial baroreceptor reflex

Arterial baroreceptor reflex control of renal sympathetic nerve activity (RSNA) has been proposed to play a role in long-term control of arterial pressure. The hypothesis that the "set point" of the acute RSNA baroreflex curve determines the long-term level of arterial pressure is presented and challenged. Contrary to the hypothesis, studies on the long-term effects of sinoaortic denervation (SAD) on arterial pressure and RSNA, as well as more recent studies of chronic baroreceptor "unloading" on arterial pressure, suggest that the basal levels of sympathetic nerve activity and arterial pressure are regulated independent of arterial baroreceptor input to the brainstem. Studies of the effect of SAD on the long-term salt sensitivity of arterial pressure are consistent with a short-term role, rather than a long-term role for the arterial baroreceptor reflex in regulation of arterial pressure during changes in dietary salt intake. Renal denervation studies suggest that renal nerves contribute to maintenance of the basal levels of arterial pressure. However, evidence that baroreflex control of the kidney plays a role in the maintenance of arterial pressure during changes in dietary salt intake is lacking. It is proposed that a "baroreflex-independent" sympathetic control system must exist for the long-term regulation of sympathetic nerve activity and arterial pressure. The concept of a central nervous system "set point" for long-term control of mean arterial pressure (CNS-MAP set point), and its involvement in the pathogenesis of hypertension, is discussed.     

Computer simulation of arterial flow with applications to arterial and aortic stenoses

A computer model for simulating pressure and flow propagation in the human arterial system is developed. The model is based on the one-dimensional flow equations and includes nonlinearities arising from geometry and material properties. Fifty-five arterial segments, representing the various major arteries, are combined to form the model of the arterial system. Particular attention is paid to the development of peripheral pressure and flow pulses under normal flow conditions and under conditions of arterial and aortic stenoses. Results show that the presence of severe arterial stenoses significantly affects the nature of the distal pressure and flow pulses. Aortic stenoses also have a profound effect on central and peripheral pressure pulse formation. Comparison with the published experimental data suggests that the model is capable of simulating arterial flow under normal flow conditions as well as conditions of stenotic obstructions in a satisfactory manner.     

A global mathematical model of the cerebral circulation in man

A mathematical model of the cerebral circulation has been formulated. It was based on non-linear equations of pulsatile fluid flow in distensible conduits and applied to a network simulating the entire cerebral vasculature, from the carotid and vertebral arteries to the sinuses and the jugular veins. The quasilinear hyperbolic system of equations was numerically solved using the two-step Lax-Wendroff scheme. The model's results were in good agreement with pressure and flow data recorded in humans during rest. The model was also applied to the study of autoregulation during arterial hypotension. A close relationship between cerebral blood flow (CBF) and capillary pressure was obtained. At arterial pressure of 80 mmHg, the vasodilation of the pial arteries was unable to maintain CBF at its control value. At the lower limit of autoregulation (60 mm Hg), CBF was maintained with a 25% increase of zero transmural pressure diameter of nearly the whole arterial network.     

A dynamic model of angiotensin II infusion experiments

Applications of control theory in studies of biological system dynamics have come to be called compartmental modelling. A second order, nonlinear, compartmental model is developed which describes the dynamics of the hormone angiotensin II (AII) and arterial blood pressure (BP) during AII infusion experiments. The model is partially identified using dose response data for constant infusion rates between 0.01 and 0.10 μg/kg/min over a period of several minutes. This study represents a first step in understanding the dynamics of regulation of arterial blood pressure by the renin-angiotensin system. All is a vasoconstrictor and is known to participate in the natural regulation of BP. AII is also believed to be an agent in the development of hypertension and atherosclerosis. The model is used to identify causal mechanisms which are consistent both with the established correlation between plasma AII concentration and arterial BP and with current physiological knowledge. The study demonstrates how a simple state variable model can be used to provide guidance concerning the design of future infusion experiments.     

Estimation of total systemic arterial compliance in humans

Systemic arterial compliance, a major component of aortic input impedance, was determined in 10 patients with congestive heart failure secondary to idiopathic dilated cardiomyopathy and 11 age-matched control subjects found free of detectable cardiovascular disease. Total arterial compliance was determined from high-fidelity ascending aortic pressure and velocity recordings using 1) the traditional monoexponential aortic diastolic pressure decay and 2) the direct solution of the equation, which describes the three-element windkessel model of the arterial system. Resting values for total arterial compliance (x10(-3) cm5/dyn) derived from method 1 were significantly correlated with compliance derived from method 2 (r = 0.89, P less than 0.01). However, method 1 values (control mean 1.15 +/- 0.27, heart failure mean 1.18 +/- 0.54) were consistently and significantly lower (P less than 0.001) than method 2 values (control mean 1.59 +/- 0.50, heart failure mean 1.38 +/- 0.60). Resting total arterial compliance in heart-failure patients was not significantly different from control subjects. Total arterial compliance did not significantly change with exercise in either group despite increases in arterial pressure. However, nitroprusside administration in the heart-failure group increased total arterial compliance both at rest and on exercise compared with the unmedicated state. These different methodological approaches to the estimation of total arterial compliance in humans resulted in significantly different absolute values for compliance, although both methods provided concordant results with respect to the response of arterial compliance to physiological and pharmacological interventions.(ABSTRACT TRUNCATED AT 250 WORDS)     

推拿颈动脉窦降低体动脉压数学模型研究

颈动脉窦在不同的压力刺激下会对体动脉压及其它生理参数产生不同的影响。本文利用Ursino的短期调节动脉压的血液动力学模型,讨论了颈动脉窦在不同方波脉冲压推拿刺激下,体动脉压降低的特点。结果显示,方波脉冲的占空比不同,体动脉压下降的幅度,舒张压与收缩压之差及每搏心输出量都有不同的变化。     

Particle deposition in arteries ex vivo: effects of pressure,flow, and waveform

The goal of this study was to quantify the effect of hemodynamic pressure, flow and waveform perturbations on the deposition of protein-sized particles in porcine carotid arteries ex vivo. An ex vivo perfusion system was used to control the pressure and flow environment for excised arterial tissue. Confocal laser microscopy images revealed that 200 nm particles were deposited intimally and that more spheres were evident along vessels perfused under oscillatory waveform conditions than all others. Under all pressure, flow and waveform conditions, particles were excluded from the media and adventitia of the vessel wall. The steady flow data support the use of Darcy's Law with pressure-dependent hydraulic permeability to model arterial tissue.     

Difference of arterial pressure regulatory mechanism between awake and anesthetized human subjects

This experiment was conducted to clarify difference of arterial pressure regulatory mechanism between awake and anesthetized human subjects. In 18 subjects who were scheduled for surgical operations, passive tilting test was performed both in awake and anesthetized conditions. Arterial pressure and heart rate were measured during four types of tilting test, i.e., 1. supine-10 degrees head down tilt 2. 10 degrees head down tilt-supine 3. supine-10 degrees head up tilt 4. 10 degrees head up tilt-supine. Relative changes in arterial pressure and heart rate in response to these four tilting tests were compared. After postural changes, all anesthetized subjects showed significant arterial pressure changes followed by restoration of arterial pressure towards control level with opposite changes of heart rate. This initial arterial pressure changes were mainly induced by shift of blood due to gravity and subsequent arterial pressure and heart rate changes were mainly by baro-receptor reflex. On the other hand, awake subjects showed transient increase of heart rate immediately after tilting followed by arterial pressure rise 2 to 3 seconds later in all four tilting tests. However, arterial pressure did not change so remarkably as in anesthetized condition and remained almost constant during tilting test. In awake subjects, their arterial pressure was regulated rapidly and reflex control of arterial pressure was masked. This rapid regulation of arterial pressure may be induced directly by higher central nervous system.     

Neurohumoral mechanisms of sodium-dependent hypertension

The contribution of neurohumoral factors to arterial pressure has been studied in several models of sodium-dependent hypertension including the deoxycorticosterone-saline, Dahl salt-sensitive rats, and reduced renal mass-saline. Observations from these animals have largely pointed to the sympathetic nervous system and arginine vasopressin (AVP) as the critical factors responsible for mediating the increased arterial pressure. Our work has indicated that the one-kidney, figure-8 renal wrap model of experimental hypertension is also sodium dependent. In these rats, prior sodium depletion prevented the development of hypertension whereas high sodium intake exacerbated the increase in arterial pressure. An activation of the sympathetic nervous system and increased AVP activity appeared to be responsible for the hypertension in rats maintained on normal and high sodium intake. Stimulation of the AVP and sympathetic nervous systems in sodium-dependent hypertension may be associated with a suppression of cardiovascular gamma-aminobutyric acid (GABA)-ergic function in the central nervous system. The inhibitory neurotransmitter, GABA, and an inhibitor of GABA uptake, nipecotic acid, lowered arterial pressure in a sodium-stimulated model of hypertension.     

Renal sympathetic nerve activity and arterial pressure responses to changes in postural position of conscious dogs

Experiments were conducted in conscious dogs to determine the relationships between postural position, arterial pressure, and renal sympathetic nerve activity. Observations of the changes in arterial pressure and renal nerve activity were made when animals spontaneously changed postural position from lying to sitting, sitting to standing, standing to sitting, and sitting to lying. Rising to sit from lying down increased arterial pressure from 109 +/- 5 to 125 +/- 3 mm Hg and increased renal nerve activity by 96 +/- 58 microV/sec (61% of control). Movement from the sitting to standing position decreased renal nerve activity by 90 +/- 39 microV/sec (48% of control) without changing mean arterial pressure. Sitting down from standing also did not change arterial pressure, whereas renal nerve activity increased by 56 +/- 17 microV/sec (33% of control). Returning to the lying position (from sitting) decreased arterial pressure, and this hypotension was associated with significant reductions in renal nerve activity. These results indicate that nonuniform changes in sympathetic outflow from the central nervous system must occur to various vascular beds during changes in postural position of conscious dogs. Thus, renal sympathetic outflow may or may not reflect changes in nerve traffic which contribute to alterations in arterial pressure.     

Least energy regulation of the arterial system

The formulation and results of the Kalman State Regulator Problem are applied to a mathematical model of the arterial system of a dog to obtain an optimal control for blood pressure. The criterion for optimality is minimum energy per cycle. Presented at the Society for Mathematical Biology Meeting, University of Pennsylvania, Philadelphia, August 19–21, 1976.     

Dynamical systems analysis of arterial blood pressure signals in relation to heart rate fluctuations in chick embryos

We attempted a new approach based on a modern dynamical system theory to reconstruct the arterial blood pressure signals in relation to heart rate fluctuations of developing chick embryos. The dynamical systems approach in general is to model a phenomenon that is presented by a single time series record and approximate the dynamical property (e.g. heart rate fluctuations) of a system based only on information contained in a single-variable (arterial blood pressure) of the system. The time-series data of the arterial blood pressure was reconstructed in 3-dimensional space to draw characteristic orbits. Since the reconstructed orbits of the blood pressure should retain information contained in the pressure signals, we attempted to derive instantaneous heart rate (IHR) from the reconstructed orbits. The derived IHR presenting HR fluctuations coincided well with the IHR obtained conventionally from the peak-to-peak time intervals of the maximum blood pressure. Movements of the reconstructed orbits of the arterial blood pressure in 3-dimensional space reflected HR fluctuations (i.e. transient decelerations and accelerations).     

Rate sensitivity of blood pressure to hypoxia

A biochemical kinetic model is used to describe changes in mean arterial blood pressure in dogs to three different rates of fall of arterial partial pressure of oxygen. The model is a linear loop with one variable rate coefficient (parametric control) which has been previously shown to characterize the rate sensitivity to presented stimuli. A three component model was identified under a least squares criterion and it showed that a unique (stimulation independent) representation can be obtained which can serve as a conceptual framework for the study of this phenomenon.     

Problems, possibilities, and pitfalls in studying the arterial baroreflexes' influence over long-term control of blood pressure

While there is no disputing the critical role of baroreflexes in buffering rapid changes in arterial pressure, their role in long-term pressure control has become an area of controversy. Recent experiments using novel techniques have challenged the traditional view that arterial baroreflexes are not involved in setting chronic arterial pressure levels. Resetting of the arterial baroreflex, often used as an argument against the arterial baroreflex playing a role in long-term pressure control is rarely complete. The arterial baroreflex is just one of the many neural, hormonal, and intrinsic mechanisms involved in arterial pressure control and while the removal of the arterial baroreflex alone has little effect on mean arterial pressure it is too simplistic to suggest that the baroreflex has no role in long-term pressure control. Renal sympathetic nerve activity appears to be particularly resistant to resetting in response to ANG II-induced hypertension. Given the important role of the kidneys in long-term pressure control, we suggest there is a clear need to develop experimental techniques whereby sympathetic nerve activity to the kidneys and other organs can be monitored over periods of weeks to months.     

Insulin-exacerbated hypertension in captopril-treated spontaneously hypertensive rats: role of sympathoexcitation

Insulin excess exacerbates hypertension in spontaneously hypertensive rats (SHR). This study examined the relative contribution of the renin-angiotensin system and the sympathetic nervous system in this phenomenon. In SHR, daily subcutaneous injections of insulin were initiated either before short-term angiotensin-converting enzyme inhibition with captopril or after lifetime captopril treatment. Insulin treatment resulted in significant increases in mean arterial pressure and heart rate and captopril treatment lowered arterial pressure, but captopril did not lower arterial pressure more in the insulin-treated compared with control rats. To test the contribution of the sympathetic nervous system to this form of hypertension, each rat was intravenously infused with either a ganglionic blocker (i.e., hexamethonium) or a centrally acting alpha2-adrenergic receptor agonist (i.e., clonidine). Administration of either agent largely eliminated the differences in mean arterial pressure and heart rate between the insulin-treated and saline-treated SHR, irrespective of captopril treatment. These data indicate that in SHR, the ability of insulin to increase blood pressure is closely related to sympathoexcitation, which is unresponsive to blockade of angiotensin-converting enzyme.     

An object-oriented modelling framework for the arterial wall

An object-oriented modelling framework for the arterial wall is presented. The novelty of the framework is the possibility to generate customisable artery models, taking advantage of imaging technology. In our knowledge, this is the first object-oriented modelling framework for the arterial wall. Existing models do not allow close structural mapping with arterial microstructure as in the object-oriented framework. In the implemented model, passive behaviour of the arterial wall was considered and the tunica adventitia was the objective system. As verification, a model of an arterial segment was generated. In order to simulate its deformation, a matrix structural mechanics simulator was implemented. Two simulations were conducted, one for an axial loading test and other for a pressure–volume test. Each simulation began with a sensitivity analysis in order to determinate the best parameter combination and to compare the results with analogue controls. In both cases, the simulated results closely reproduced qualitatively and quantitatively the analogue control plots.     

Short-term variability of blood pressure: effects of lower-body negative pressure and long-duration bed rest

Mild lower-body negative pressure (LBNP) has been utilized to selectively unload cardiopulmonary baroreceptors, but there is evidence that arterial baroreceptors can be transiently unloaded after the onset of mild LBNP. In this paper, a black box mathematical model for the prediction of diastolic blood pressure (DBP) variability from multiple inputs (systolic blood pressure, R-R interval duration, and central venous pressure) was applied to interpret the dynamics of blood pressure maintenance under the challenge of LBNP and in long-duration, head-down bed rest (HDBR). Hemodynamic recordings from seven participants in the WISE (Women's International Space Simulation for Exploration) Study collected during an experiment of incremental LBNP (-10 mmHg, -20 mmHg, -30 mmHg) were analyzed before and on day 50 of a 60-day-long HDBR campaign. Autoregressive spectral analysis focused on low-frequency (LF, ~0.1 Hz) oscillations of DBP, which are related to fluctuations in vascular resistance due to sympathetic and baroreflex regulation of vasomotor tone. The arterial baroreflex-related component explained 49 ± 13% of LF variability of DBP in spontaneous conditions, and 89 ± 9% (P < 0.05) on day 50 of HDBR, while the cardiopulmonary baroreflex component explained 17 ± 9% and 12 ± 4%, respectively. The arterial baroreflex-related variability was significantly increased in bed rest also for LBNP equal to -20 and -30 mmHg. The proposed technique provided a model interpretation of the proportional effect of arterial baroreflex vs. cardiopulmonary baroreflex-mediated components of blood pressure control and showed that arterial baroreflex was the main player in the mediation of DBP variability. Data during bed rest suggested that cardiopulmonary baroreflex-related effects are blunted and that blood pressure maintenance in the presence of an orthostatic stimulus relies mostly on arterial control.     

Theoretical analysis of occlusion techniques for measuring pulmonary capillary pressure.

We have developed a model including three serial compliant compartments (arterial, capillary, and venous) separated by two resistances (arterial and venous) for interpreting in vivo single pulmonary arterial or venous occlusion pressure profiles and double occlusion. We formalized and solved the corresponding system of equations. We showed that in this model 1) pulmonary capillary pressure (Pc) profile after arterial or venous occlusion has an S shape, 2) the estimation of Pc by zero time extrapolation of the slow component of the arterial occlusion profile (Pcao) always overestimates Pc, 3) symmetrically such an estimation on the venous occlusion profile (Pcvo) always underestimates Pc, 4) double occlusion pressure (Pcdo) differs from Pc. We evaluated the impact of varying parameter values in the model with parameter sets drawn either from the literature or from arbitrary arterial and venous pressures, being respectively 20 and 5 mmHg. Resulting Pcao-Pc differences ranged from 0.4 to 5.4 mmHg and resulting Pcvo-Pc differences ranged from -0.3 to -5.0 mmHg. Pcdo-Pc was positive or negative, its absolute value in general being negligible (< 1.1 mmHg).