Search PubMed⌕ Search

SEARCH · Search PubMed

Results for “Models, Cardiovascular”

Search indexed PubMed citations on genomics, clinical trials, systematic reviews and public health. Explore titles, authors and supplied subject terms, then open the PubMed record.

Quote a phrase for an exact phrase match. Source license links do not imply unrestricted reuse.

At least 1,027 records · Page 57Linked to original sources
PubMed1997

Indicator-dilution dispersion models and cardiac output computing methods.

The general theory of indicator-dilution methods provides a basis for computing improved cardiac output estimates. Interpretation is via indicator-dispersion modeling with Brownian motion of drifting particles. Detected curves indicate the distribution of passage times from the injection site: the local density random walk (LDRW) function of a Wiener process. Fitting the LDRW to 70 dye curves by nonlinear regression for examples, I show how all possible undistorted curves can, in principle, be simulated. I show via semilogarithmic plots that conventional exponential decay constructs systematically underestimate cardiac output by up to 8%. To help reconcile the predictions of LDRW-fitted dilution curves and contemporary practice, I show how curve-shape asymmetry (skewness) dramatically affects the enclosed areas. Mean transit times may overestimate blood volumes by 15-100% in very skewed thermodilution curves if the dispersion effects are overlooked. Triangle constructions, which accounted for hundreds of experimental findings, also have theoretical explanations. Curve-fitting methods reduce the extrapolation biases inherent in many computers and in any respiration-induced artifacts. Compatibility of cardiac output predictions from various dilution methods and modules becomes feasible.

Artifacts↗
PubMed1997

Hodgkin-Huxley and partially coupled inactivation models yield different voltage dependence of block.

K+ channel blockers have been shown to exhibit complex time- and voltage-dependent effects on cardiac K+ currents. Whereas much attention has been focused on the state dependence of K+ channel block, how a particular channel model can alter the predicted time and voltage dependence of channel block remains unexplored. In this study, using two different model formalisms for the same cardiac transient outward current channel, we compare the effects of a theoretical open-state specific channel blocker on macroscopic currents. Model 1 is a Hodgkin-Huxley-like model, in which inactivation is an intrinsically voltage-dependent process and occurs independently of activation. Model 2 is a "partially coupled" model, in which inactivation is intrinsically voltage insensitive but requires channel activation before it can proceed. In the absence of drug (blocking agent), the two models reproduce the macroscopic current data. In the presence of blocking agent, the two models can differ substantially, with model 1 displaying much less block than model 2. We also examine simple mathematically convenient modifications to the Hodgkin-Huxley formalism, which reproduce some, but not all, of the use-dependent properties of block. Thus model formalism is important for analysis and simulation of state-specific drug-channel interactions.

Animals↗
PubMed1997

A fiber matrix model for the filtration through fenestral pores in a compressible arterial intima.

We advance a new hypothesis to explain the changes in hydraulic conductivity of an intact artery wall with transmural pressure previously observed by Tedgui and Lever [Am. J. Physiol. 247 (Heart Circ. Physiol. 16): H784-H791, 1984] and Baldwin and Wilson [Am. J. Physiol. 264 (Heart Circ. Physiol. 33): H26-H32, 1993]. This hypothesis suggests that compaction due to pressure loading of the proteoglycan matrix in the arterial intima near fenestral pores of the internal elastic lamina (IEL) leads to a narrowing of the pore entrance area and a large decrease in local intrinsic Darcy permeability of the matrix. To quantitatively assess the feasibility of this mechanism, a local two-dimensional model is proposed to study filtration flow in the vicinity of fenestral pores in a compressible intima. Using a heterogenous fiber matrix theory, we first predict the change in Darcy permeability with intimal thickness (Li). The model then calculates local velocity profiles and pressure distributions in the intima and media. The results show a marked nonlinear steepening of intimal pressure profiles near fenestral pores when the intima thins at higher luminal pressures. The predicted relative change in resistances of the IEL (with intima, R(I)) and of the media (Rm) shows a steep increase in R(I)/Rm when Li is <20% of its unstressed value. Numerical results also suggest that intimal compression has a limiting behavior in which the much stiffer collagen fibrils inhibit further compaction at high pressures after the proteoglycan matrix is maximally compressed. Predictions are also presented to show how different transmural pressures alter growth of an intimal horseradish peroxidase spot that derives from a localized (a single cell's boundary) endothelial leakage. Such a prediction is amenable to experimental verification.

Animals↗
PubMed1997

Phase dependencies of the human baroreceptor reflex.

We studied the influence of respiratory and cardiac phase on responses of the cardiac pacemaker to brief (0.35-s) increases of carotid baroreceptor afferent traffic provoked by neck suction in seven healthy young adult subjects. Cardiac responses to neck suction were measured indirectly from electrocardiographic changes of heart period. Our results show that it is possible to separate the influences of respiratory and cardiac phases at the onset of a neck suction impulse by a product of two factors: one depending only on the respiratory phase and one depending only on the cardiac phase. This result is consistent with the hypothesis that efferent vagal activity is a function of afferent baroreceptor activity, whereas respiratory neurons modulate that medullary throughput independent of the cardiac phase. Furthermore, we have shown that stimulus broadening and stimulus cropping influence the outcome of neck suction experiments in a way that makes it virtually impossible to obtain information on the phase dependency of the cardiac pacemaker's sensitivity to vagal stimulation without accurate knowledge of the functional shape of stimulus broadening.

Adult↗
PubMed1997

Characterization of embryonic aortic impedance with lumped parameter models.

We systematically constructed and analyzed 18 analog circuit models to characterize embryonic arterial impedance. We measured simultaneous dorsal aortic pressure and flow, and we calculated experimental impedance in stage 24 chick embryos (n = 15). Cycle length was altered with thermal probes to improve frequency resolution of the impedance spectrum. Models were categorized according to the framework and the location of inductance and resistance terms. Models were excluded if they failed to reproduce the fundamental characteristics of the experimental impedance spectrum. We used weighted least-square parameter optimization to fit the model impedance curves to the experimental impedance data. Models that failed to converge parameters or revealed overparameterization were also excluded. We assessed goodness of fit in the frequency domain with the F-test, Akaike information criterion, and Schwarz criterion to determine the best-fit model. The addition of a serial inductance term to the traditional three-element windkessel model improved fit by reproducing modulus fluctuation and phase zero crossing (P < 0.001). Thus, despite dramatic differences in scale and geometry, the embryonic and mature vascular systems can be described using lumped parameter circuit models.

Animals↗
PubMed1997

Vector autoregressive modeling for analyzing feedback regulation between heart rate and blood pressure.

We present a noninvasive technique for analyzing the feedback relationship between short-term fluctuations in blood pressure (BP) and heart rate (HR) in humans. Beat-to-beat BP was monitored for several minutes with a noninvasive BP measuring device, i.e., arterial tonometry, in 16 healthy subjects and 15 patients on hemodialysis (HD), and the recorded systolic BP (SBP) and the pulse wave interval (R-R interval) were fitted to vector autoregressive models according to Akaike's method. The impulse-response function was then simulated to determine the contribution of changes in R-R interval or SBP to the fluctuation of SBP or R-R interval along a time scale. In healthy subjects, when a simulated 1-mmHg impulse was applied to SBP, the R-R interval increased to approximately 3.5 ms with a delay of several beats. In HD patients the same impulse caused essentially no response in the R-R interval. A 1-ms impulse applied to the R-R interval decreased SBP, and the response was not different in healthy subjects and HD patients. In the R-R interval-to-R-R interval response and the SBP-to-SBP response, the exponential-like decay after the initial jump was more rapid in the HD patients than in the healthy subjects. The results demonstrated that this technique can provide information on the feedback regulation between fluctuations in BP and HR in patients with or without autonomic nervous system dysfunction. This technique provides a simple and practical way to estimate autonomic function in clinical medicine.

Adult↗
PubMed1997

Assessment of protein permeability in normal human systemic circulation.

Vascular permeability to oncotic agents is an important determinant of transvascular fluid flux (J) and systemic fluid balance. In this study, a technique was developed to measure protein reflection coefficients (omega) for albumin (Alb), immunoglobulin (Ig) G, and IgM in the intact human systemic circulation to evaluate the role of vascular protein permeability in health and disease. A mathematical model was developed to calculate omega in the forearm circulation from changes in venous hematocrit and protein concentration that occur during edema formation. Assumptions required for the model were validated in an initial set of experiments in normal subjects when edema was induced by inflating a pneumatic cuff on the upper arm. A second series of experiments assessed omega for Alb, IgG, and IgM in men (n = 7) and in women in the follicular (n = 5) and luteal (n = 4) phases of the menstrual cycle. There was an increasing trend in omega with molecular size in aggregated subjects [omega Alb = 0.81 +/- 0.12 (SE), omega IgG = 0.88 +/- 0.12, omega IgM = 0.92 +/- 0.18; P = 0.088]. These values were consistent with those obtained with in vitro preparations. omega values were lower in women in the luteal than in the follicular phase (P = 0.047). We conclude that the assumptions required for this model can be achieved in the intact forearm circulation and that there are menstrual phase-related differences in vascular protein permeability in normal women.

Adult↗
PubMed1997

Microstructural model of perimysial collagen fibers for resting myocardial mechanics during ventricular filling.

To study the structural contribution of perimysial collagen fibers to the passive mechanics of ventricular myocardium, we modeled the coiled fibers as helical springs using elastica theory to represent the fibers as initially curved, inextensible rods that could bend and twist. The extensional behavior in the physiological range of left ventricular (LV) pressures was dependent on structural parameters that were estimated histologically for rat and dog: collagen fiber diameter, coil period, collagen fiber tortuosity (fiber length in 2 dimensions/midline length), and number density (Nd) of collagen fibers per cross-sectional area of tissue. The difference in each geometric parameter was not great (27% maximal difference for Nd). However, the combined effect of all parameters accounted for a 102% difference in tissue stiffness. The only other model parameter was the Young's modulus (E) for bending of collagen, which was calculated from a linear regression of stress and strain scaled according to the geometric parameters. Despite an approximately fivefold difference in tissue stiffness, the resulting E was only 18.5% different (135 vs. 160 MPa for rat and dog, respectively). With the mean values from each species, the model was able to predict the stress-strain behavior of both rat and dog myocardium in the physiological range of LV pressures, suggesting that the perimysial collagen fibers may be the most important contributors to passive stiffness of the myocardium in the direction of the muscle fibers. It also appears that these large collagen fibers are not stretching to generate stress in the normal range of ventricular pressures, but rather stress gradually increases as collagen fibers straighten through bending and twisting. Finally, to understand the importance of differences in collagen architecture, one should measure the detailed collagen structure, not simply collagen density.

Animals↗
PubMed1998

Interactions between CO2 chemoreflexes and arterial baroreflexes.

We studied interactions between CO2 chemoreflexes and arterial baroreflexes in 10 supine healthy young men and women. We measured vagal carotid baroreceptor-cardiac reflexes and steady-state fast Fourier transform R-R interval and photoplethysmographic arterial pressure power spectra at three arterial pressure levels (nitroprusside, saline, and phenylephrine infusions) and three end-tidal CO2 levels (3, 4, and 5%, fixed-frequency, large-tidal-volume breathing, CO2 plus O2). Our study supports three principal conclusions. First, although low levels of CO2 chemoreceptor stimulation reduce R-R intervals and R-R interval variability, statistical modeling suggests that this effect is indirect rather than direct and is mediated by reductions of arterial pressure. Second, reductions of R-R intervals during hypocapnia reflect simple shifting of vagally mediated carotid baroreflex responses on the R-R interval axis rather than changes of baroreflex gain, range, or operational point. Third, the influence of CO2 chemoreceptor stimulation on arterial pressure (and, derivatively, on R-R intervals and R-R interval variability) depends critically on baseline arterial pressure levels: chemoreceptor effects are smaller when pressure is low and larger when arterial pressure is high.

Adult↗
PubMed1998

Ionic mechanisms underlying human atrial action potential properties: insights from a mathematical model.

The mechanisms underlying many important properties of the human atrial action potential (AP) are poorly understood. Using specific formulations of the K+, Na+, and Ca2+ currents based on data recorded from human atrial myocytes, along with representations of pump, exchange, and background currents, we developed a mathematical model of the AP. The model AP resembles APs recorded from human atrial samples and responds to rate changes, L-type Ca2+ current blockade, Na+/Ca2+ exchanger inhibition, and variations in transient outward current amplitude in a fashion similar to experimental recordings. Rate-dependent adaptation of AP duration, an important determinant of susceptibility to atrial fibrillation, was attributable to incomplete L-type Ca2+ current recovery from inactivation and incomplete delayed rectifier current deactivation at rapid rates. Experimental observations of variable AP morphology could be accounted for by changes in transient outward current density, as suggested experimentally. We conclude that this mathematical model of the human atrial AP reproduces a variety of observed AP behaviors and provides insights into the mechanisms of clinically important AP properties.

Action Potentials↗
PubMed1999

A hemodynamic analysis of coronary capillary blood flow based on anatomic and distensibility data.

An understanding of cardiac health and disease requires knowledge of the various factors that control coronary capillary blood flow. An analysis of coronary capillary blood flow based on a complete set of actual data on the capillary anatomy and elasticity does not exist. Previously, a complete set of data on the branching pattern and the vascular geometry of the pig coronary capillary network were obtained in our laboratory. In the present study, we obtained distensibility data on the coronary capillary blood vessels on the epicardial surface in the form of a pressure-diameter relationship using intravital microscopy. A mathematical model of the coronary capillary blood flow was then constructed on the basis of measured anatomic and elasticity data of the coronary capillary network, rheology of blood, physical laws governing blood flow, and appropriate boundary conditions. The constructed model was used to examine the heterogeneity of the spatial distribution of coronary blood flow, which is an important issue in coronary physiology. One interesting result of the model is that the dispersions of pressure and flow are significantly reduced in the presence of capillary cross-connections, and the resistance to flow is reduced as well. Finally, we found that the compliance of the epicardial surface capillary vessels is so small that its effect on the blood pressure drop is negligible in the diastolic state. However, the compliance of the intramyocardial capillaries remains unknown, and the interaction of the muscle contraction and blood vessel elasticity in systole remains to be studied.

Animals↗
PubMed2001

Causal linear parametric model for baroreflex gain assessment in patients with recent myocardial infarction.

Spectral and cross-spectral analysis of R-R interval and systolic arterial pressure (SAP) spontaneous fluctuations have been proposed for noninvasive evaluation of baroreflex sensitivity (BRS). However, results are not in good agreement with clinical measurements. In this study, a bivariate parametric autoregressive model with exogenous input (ARXAR model), able to divide the R-R variability into SAP-related and -unrelated parts, was used to quantify the gain (alpha(ARXAR)) of the baroreflex regulatory mechanism. For performance assessing, two traditional noninvasive methods based on frequency domain analysis [spectral, baroreflex gain by autogressive model (alpha(AR)); cross-spectral, baroreflex gain by bivariate autoregressive model (alpha(2AR))] and one based on the time domain [baroreflex gain by sequence analysis (alpha(SEQ))] were considered and compared with the baroreflex gain by phenylephrine test (alpha(PHE)). The BRS evaluation was performed on 30 patients (61 +/- 10 yr) with recent (10 +/- 3 days) myocardial infarction. The ARXAR model allowed dividing the R-R variability (950 +/- 1,099 ms(2)) into SAP-related (256 +/- 418 ms(2)) and SAP-unrelated (694 +/- 728 ms(2)) parts. alpha(AR) (12.2 +/- 6.1 ms/mmHg) and alpha(2AR) (8.9 +/- 5.6 ms/mmHg) as well as alpha(SEQ) (12.6 +/- 7.1 ms/mmHg) overestimated BRS assessed by alpha(PHE) (6.4 +/- 4.7 ms/mmHg), whereas the ARXAR index gave a comparable value (alpha(ARXAR) = 5.4 +/- 3.3 ms/mmHg). All noninvasive methods were significantly correlated to alpha(PHE) (alpha(ARXAR) and alpha(SEQ) were more correlated than the other indexes). Thus the baroreflex gain obtained describing the causal dependence of R-R interval on SAP showed a good agreement with alpha(PHE) and may provide additional information regarding the gain estimation in the frequency domain.

Analysis of Variance↗
PubMed2001

Beat-to-beat stroke volume estimation from aortic pressure waveform in conscious rats: comparison of models.

Several methods for estimating stroke volume (SV) were tested in conscious, freely moving rats in which ascending aortic pressure and cardiac flow were simultaneously (beat-to-beat) recorded. We compared two pulse-contour models to two new statistical models including eight parameters extracted from the pressure waveform in a multiple linear regression. Global as well as individual statistical models gave higher correlation coefficients between estimated and measured SV (model 1, r = 0.97; model 2, r = 0.96) than pulse-contour models (model 1, r = 0.83; model 2, r = 0.91). The latter models as well as statistical model 1 used the pulsatile systolic area and thus could be applied to only 47 +/- 17% of the cardiac beats. In contrast, statistical model 2 used the pressure-increase characteristics and was therefore established for all of the cardiac beats. The global statistical model 2 applied to data sets independent of those used to establish the model gave reliable SV estimates: r = 0.54 +/- 0.07, a small bias between -8% to +10%, and a mean precision of 7%. This work demonstrated the limits of pulse-contour models to estimate SV in conscious, unrestrained rats. A multivariate statistical model using eight parameters easily extracted from the aortic waveform could be applied to all cardiac beats with good precision.

Animals↗
PubMed1975

Cardiac output and its distribution during diving in the rat.

The diving response was produced by submerging the head of the unanesthetized rat for 60 s, while it was confined in a mesh-wired cone. Heart rate and cardiac output decreased by 73% and 74% from the predive values, respectively, indicating insignificant change in stroke volume. Central systemic arterial blood pressure rose by 22% during diving and a fourfold increase in total peripheral resistance was observed. Blood flow to the coronary, cerebral, and bronchial circulations remained unchanged while a 95% reduction in the intestine and the spleen, a 97% reduction in the kidney, and greater than 99% reduction in the tail and skin were observed during diving. The blood flow reduction from predive values ranged from 50% for liver and skeletal muscle to 75% for the adrenals and 65% for the diaphragm. The redistribution of the drastically reduced cardiac output during head immersion in the rat is similar to that reported for diving mammals. It is suggested that the rat may serve as a useful cardiovascular model for further studies of the diving response in mammals.

Adrenal Glands↗
PubMed1989

In vivo control of phosphofructokinase: system models suggest new experimental protocols.

There is still uncertainty as to how much control of in vivo rates of glycolysis by phosphofructokinase (PFK) depends on cytosolic phosphate energy state. Three models of PFK kinetics incorporating sensitivity to pH, adenine nucleotides, and inorganic phosphate (Pi) were embedded in the physiological "phosphate energy system" of creatine-containing tissues [Connett, R.J. Am. J. Physiol. 254 (Regulatory Integrative Comp. Physiol. 23): R949-R959, 1988]. Effects of changes in phosphate energy state and total adenine nucleotide and phosphate pools on steady-state kinetics were examined. Analyses mimicking in vitro experiments indicated no activity at the pH and [ATP] of working muscles. When tested using the coordinated changes in Pi and adenine nucleotides expected in vivo, all models showed reasonable activity. Control was dominated by [Pi] in the normal physiological range of energy states. The almost linear response to phosphate energy state, measured by creatine charge (phosphocreatine/total creatine), is insensitive to the absolute size of the adenine nucleotide pool. A step to almost full activation occurred when phosphocreatine buffering of [ATP] was exceeded. Several experimental studies are suggested.

Adenine Nucleotides↗
PubMed1994

Relationship between strength of short-term systemic autoregulation and initial resistance.

The relationship between strength of short-term whole body autoregulation and peripheral resistance in the reference state (initial resistance) was investigated in 9 anesthetized closed-chest dogs and 18 anesthetized open-chest cats. Baroreflex regulation was abolished in one of three ways: barodenervation, ganglionic blockade, or setting pressure constant in the isolated carotid sinuses after vagotomy. Ascending aortic pressure and flow and venous pressure were measured in the reference state and 1-3 min after partial occlusions of the inferior vena cava. Cardiac output and peripheral resistance (ratio between arteriovenous pressure difference and cardiac output) were normalized for body weight. Strength of autoregulation was quantified by a resistance gain (Gra), defined as the ratio between change in normalized peripheral resistance and corresponding change in normalized cardiac output. A broad range of values for peripheral resistance in the reference state (Ro) was obtained as a result of the different interventions used to abolish baroreflex regulation. Arteriovenous pressure difference and normalized cardiac output during multiple vena cava occlusions in the 9 dogs and in 8 of the cats were fitted with a parabola convex to the flow axis. From the best fit, Gra was estimated. In the remaining 10 cats Gra was estimated from a single occlusion of vena cava. When data of all dogs and cats were taken together, we found a linear relationship between Gra and Ro: Gra = K1.Ro + K2. The constants K1 and K2 were 17.9 x 10(-3) min.kg.ml-1 and -14.5 x 10(-3) mmHg.min2.kg2.ml-2, respectively. The correlation coefficient was 0.9.

Animals↗
PubMed1999

A five-parameter logistic equation for investigating asymmetry of curvature in baroreflex studies.

Baroreceptor reflex curves are usually analyzed using a symmetric four-parameter function. We wished to ascertain the validity of assuming symmetry in the baroreflex curve and also of constraining the curves to pass through the resting blood pressure and heart rate (HR) values. Therefore, we have investigated the suitability of a new five-parameter asymmetric logistic model for analysis of baroreflex curves from rabbits and dogs. The five-parameter model is an extension of the usual four-parameter model and reduces to that model when the fitted data are symmetrical. Using 30 data sets of blood pressure versus renal sympathetic nerve activity (RSNA) and HR from six conscious rabbits, we compared the five-parameter curves with the four-parameter model. We also tested the effect of forcing these baroreflex curves through the resting point. We found that the five-parameter model reduced the unexplained variation and gave small but important improvements to the estimates of plateaus for RSNA and HR and the HR gain. Although forcing the HR curves through the resting values had little effect, this procedure, when applied to RSNA, produced a worse curve fit by increasing the unexplained variation with alteration to most of the estimated curve parameters. The mean arterial pressure-HR baroreflex relationship from six conscious dogs was also analyzed and showed clear evidence of systematic asymmetry. We conclude that the asymmetric model is a valuable extension to the symmetric logistic model when examining baroreceptor reflexes, giving improved estimates of the parameters and a new approach to examining the mechanisms contributing to baroreflex curve asymmetry. Furthermore, forcing the curves through the resting value is a statistically questionable practice when analyzing RSNA, because it affects the parameter estimates.

Animals↗
PubMed2001

Slow oscillations in blood pressure via a nonlinear feedback model.

Blood pressure is well established to contain a potential oscillation between 0.1 and 0.4 Hz, which is proposed to reflect resonant feedback in the baroreflex loop. A linear feedback model, comprising delay and lag terms for the vasculature, and a linear proportional derivative controller have been proposed to account for the 0.4-Hz oscillation in blood pressure in rats. However, although this model can produce oscillations at the required frequency, some strict relationships between the controller and vasculature parameters must be true for the oscillations to be stable. We developed a nonlinear model, containing an amplitude-limiting nonlinearity that allows for similar oscillations under a very mild set of assumptions. Models constructed from arterial pressure and sympathetic nerve activity recordings obtained from conscious rabbits under resting conditions suggest that the nonlinearity in the feedback loop is not contained within the vasculature, but rather is confined to the central nervous system. The advantage of the model is that it provides for sustained stable oscillations under a wide variety of situations even where gain at various points along the feedback loop may be altered, a situation that is not possible with a linear feedback model. Our model shows how variations in some of the nonlinearity characteristics can account for growth or decay in the oscillations and situations where the oscillations can disappear altogether. Such variations are shown to accord well with observed experimental data. Additionally, using a nonlinear feedback model, it is straightforward to show that the variation in frequency of the oscillations in blood pressure in rats (0.4 Hz), rabbits (0.3 Hz), and humans (0.1 Hz) is primarily due to scaling effects of conduction times between species.

Animals↗