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J Am Coll Cardiol, 2002; 40:983-990
© 2002 by the American College of Cardiology Foundation
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EXPERIMENTAL STUDY

Mechanisms of diastolic intraventricular regional pressure differences and flow in the inflow and outflow tracts

Kjetil Steine, MD, PhD*,*, Marie Stugaard, MD, PhD{dagger} and Otto A. Smiseth, MD, PhD, FACC{dagger}

* Medical Department, Aker University Hospital, Oslo, Norway
{dagger} Institute for Surgical Research, Rikshospitalet, University of Oslo, Oslo, Norway

Manuscript received April 9, 1999; revised manuscript received May 13, 2002, accepted May 24, 2002.

* Reprint requests and correspondence: Dr. Kjetil Steine, Medical Department, Aker University Hospital, Trondheimsvn. 235, N-0514 Oslo, Norway.
kjetil.steine{at}ioks.uio.no


    Abstract
 Top
 Abstract
 Methods
 Results
 Discussion
 References
 
OBJECTIVES: We sought to investigate the mechanisms of left ventricular (LV) intracavitary early diastolic flow during changes in contractility and loading.

BACKGROUND: There is limited understanding of how intracavitary flow velocities relate to intraventricular driving pressures.

METHODS: In 12 anesthetized dogs, we measured pressures in the left atrium (LA), LV at the mitral tip, apex, and subaortic region; intraventricular velocities by color M-mode Doppler echocardiography (CMD); and volume by sonomicrometry. We also investigated responses to isoprenaline, ischemic failure, and volume loading.

RESULTS: During rapid, early filling, the mitral to apical pressure gradient (LVPmitral-apex) correlated with the peak mitral to apical velocity (r = 0.92). The LVPmitral-apex increased from 1.4 ± 0.6 (SD) to 3.2 ± 1.8 mm Hg during isoprenaline (p < 0.05) and decreased to 0.6 ± 0.5 during ischemic failure (p < 0.01). The pressure gradient correlated positively with the time constant of isovolumic relaxation (tau) (r = 0.82) and negatively with LV end-systolic volume (ESV) (r = –0.77). Volume loading increased LA pressure, tau, and ESV, but caused no significant change in LVPmitral-apex. At baseline and during isoprenaline, tau was shorter (p < 0.05) at the apex than at the base. When the mitral to apical gradient approached zero, filling velocities were directed toward the LV outflow tract, and a pressure gradient was established between the apex and subaortic region.

CONCLUSIONS: Changes in LVPmitral-apex induced by inotropic stimuli, loading, and ischemia appeared to reflect dependency of the pressure gradient on the rate of relaxation, ESV, and LA pressure. Regional differences in the rate of relaxation may also contribute to intraventricular pressure gradients. These findings have implications for how to interpret intraventricular filling in a clinical context.

Abbreviations and Acronyms
  CMD
  color M-mode Doppler echocardiography
  ESV
  end-systolic volume
  LA
  left atrium or atrial
  LV
  left ventricular
  dP/dtmin
  minimal first derivative of left ventricular pressure
  LAP
  left atrial pressure
  LVP
  left ventricular pressure
  tau
  time constant of isovolumic left ventricular relaxation


Clinical studies have shown marked changes in the intraventricular filling pattern in patients with myocardial ischemia and in those with congestive heart failure (1–3). Accordingly, intraventricular filling, as measured by color M-mode Doppler echocardiography (CMD), has been proposed as a noninvasive method for assessing diastolic dysfunction (1–3). However, there is very limited understanding of the mechanisms of intraventricular flow and how the Doppler flow velocities relate to intraventricular driving pressures and left ventricular (LV) function.

The aim of the present study was to determine the mechanisms of changes in LV early diastolic flow during changes in contractility and loading and during acute ischemic LV failure.


    Methods
 Top
 Abstract
 Methods
 Results
 Discussion
 References
 
Instrumentation.   Animal preparation
Twelve dogs of either gender, weighing 18.1 to 30.0 kg (22.2 ± 3.5), were anesthetized, artificially ventilated and instrumented, as previously described (4,5). After finishing the data collections, the dogs were sacrificed by means of an overdose of pentobarbital, 20 mg/kg per body weight. The protocol was approved by the Ethical Committee of the institution.

Positioning of pressure transducers (Fig. 1)
Micromanometer-tipped catheters were placed in the left atrium (LA) (model SPC-471A, Millar Instruments, Houston, Texas), LV inflow tract (model MPC-500), and LV outflow tract (model MPC-500) (4,5). A micromanometer (Konigsberg Instruments, Pasadena, California) was located in the LV apex. The micromanometers were calibrated and zero-referenced, as previously described (4,5).



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Figure 1 Schematic presentation of the locations of the pressure sensors. placement of the color m-mode doppler cursor lines in the left ventricular (lv) inflow and outflow tracts is indicated by the dotted lines.

 
Color M-mode Doppler echocardiography
Ultrasonic measurements were performed using a Vingmed CFM 700 cardiac scanner (Vingmed Sound, Horten, Norway), as previously described (4,5). Guided by an apical long-axis two-dimensional image, the CMD cursor line could be placed centrally in the LV inflow and outflow tracts (Figs. 1–3). The data were digitized and transferred to an external computer (Macintosh 11ci, Apple Computer Inc.).



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Figure 2 Color M-mode Doppler image of early diastolic flow velocities (encoded red) in the left ventricular inflow tract in one representative dog at baseline.

 


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Figure 3 Color M-mode Doppler image of diastolic apex to subaortic valve flow velocities (encoded blue) in the left ventricular outflow tract in one representative dog at baseline. Note that the outflow tract flow component starts before cessation of early inflow and is not finished until late diastole.

 
Sonomicrometry
Three pairs of ultrasonic crystals were implanted in the LV endocardium to measure the equatorial anteroposterior, septolateral, and long-axis base–apex dimensions (6). The crystals were connected to a sonomicrometer (Triton Technology Inc., San Diego, California).

Experimental protocol.   Pressures, dimensions, electrocardiograms, and Doppler flow velocities were recorded and digitized, as previously described (4,5). The recordings were done under the following experimental conditions: recordings during baseline were obtained in 12 dogs (Fig. 4, A and B).



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Figure 4 (A) Representative pressure recordings and timing of pressure differences in the left ventricular (LV) inflow and outflow tracts. The data are presented as the mean value ± SD at baseline for 12 dogs. a, Duration of pressure gradient between the mitral tip and subaortic regions. b, Interval from the start of the pressure gradient (onset of flow) in the LV inflow tract to its peak. c, Interval from the start of the LV outflow tract pressure gradient to its peak. (B) The same pressure recordings as in part A, with the timing of flow velocities in LV inflow and outflow tracts. Again, the data are presented as the mean value ± SD at baseline for the same 12 dogs as in part A. LAP and LVP = pressure in left atrium and left ventricle, respectively.

 
Isoprenaline
After the baseline recordings, six of these dogs received intravenous isoprenaline (0.075 µg/kg per min).

Left ventricular failure
Approximately 1 h after termination of the isoprenaline infusion, acute ischemic LV failure was induced by coronary microembolization (7).

Volume loading
After the baseline recordings, six dogs received an infusion of saline until LV end-diastolic pressure of ~18 mm Hg was reached.

Data analysis.   Pressure measurements
Pressure and dimension calculations were performed using the software program CVSOFT (Odessa Computers, Calgary, Canada). Left atrial pressure (LAP) was measured at the first diastolic crossover (onset of filling) of the three LV pressures. The time constant of isovolumic relaxation (tau) was calculated using the derivative method (8). The correlation coefficient (r) for the natural logarithm of the first derivative of LV pressure (dP/dt) versus pressure for the three different LV pressure tracings was > 0.93.

Calculation of pressure gradients
The following pressure differences were calculated: along the inflow tract: LAP – LVPmitral, LAP – LVPapex, and LVPmitral – LVPapex; along the LV outflow tract: LVPapex – LVPaorta. We also calculated LVPmitral – LVPaorta. All reported values are peak gradients during early diastole.

Color m-mode doppler analyses and calculations
The CMD measurements were performed using the software program EchoDisp (Vingmed Sound, Horten, Norway), as previously described (2).

The apically directed velocities in the inflow tract were coded in a rainbow-colored system: from red by decreasing velocities to a lighter shade of red and to yellow and blue (aliasing) by increasing velocities (Fig. 2). The spreadsheet of the digitized data was used to identify the mitral to apical peak velocity and the start and cessation of flow.

In the outflow tract, the velocities were directed toward the aortic valve and were coded from dark blue by low velocities to a lighter shade of blue by higher velocities (Fig. 3). Peak velocity and the start and cessation of flow were determined using the spreadsheet of the digitized data.

Sonomicrometry
The LV volume was calculated as a general ellipsoid using the equation: (7), where Dap, Dsl, and Dla are the anteroposterior, septolateral, and long-axis dimensions, respectively.

Statistics
Data are presented as the mean value ± SD. For comparisons of the data, paired t test and analysis of variance were used. Regression analyses were performed according to Glantz and Slinker (9), using a multiple regression model, including dummy variables to account for intersubject differences. A p value <0.05 was considered statistically significant.


    Results
 Top
 Abstract
 Methods
 Results
 Discussion
 References
 
Hemodynamic variables at baseline and responses to isoprenaline, volume loading, and coronary microembolization.   The hemodynamic responses to isoprenaline, coronary microembolization, and volume loading are summarized in Tables 1 and 2.


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Table 1 Hemodynamic Variables Measured at Baseline, During Isoprenaline, and After Induction of LV Failure by Coronary Microembolization in Six Dogs*

 

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Table 2 Hemodynamic Variables Measured at Baseline and After Volume Loading in Six Dogs*

 
The timing of the first diastolic LA/LV pressure crossover was similar for the three LV pressures (Fig. 4A). The minimal dP/dt (dP/dtmin) of the LVPapex was slightly delayed relative to the dP/dtmin of the LVPaorta and LVPmitral, by 9 ± 6 and 6 ± 5 ms, respectively (both p < 0.05). However, tau was significantly shorter in the apex than at the base (LVPaorta and LVPmitral) (p < 0.05) (Table 1); therefore, the pressure nadir of the LVPapex occurred significantly earlier than that of the LVPaorta and LVPmitral, by 31 ± 14 and 31 ± 16 ms, respectively (both p < 0.001). The differences in tau disappeared after coronary microembolization and after volume loading (Tables 1 and 2, respectively). A representative recording during isoprenaline is displayed in Figure 5.



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Figure 5 Representative experiment showing left ventricular (LV) pressure and volume during isoprenaline infusion. Note that the pressure in the left ventricle at the apex (LVPapex) declined at a faster rate than LVPmitral and LVPaorta during isovolumic pressure decay (upper panel). However, minimal first derivative of LV pressure (dP/dtmin) of the LVPapex (middle vertical broken line) was delayed, as compared with the dP/dtmin of the LVPaorta and LVPmitral (left vertical broken line). The right vertical broken line indicates the first crossover between all three LV and left atrial pressures.

 
Mitral to apical (LV inflow tract) velocities and pressure differences.   Isoprenaline and lv failure
The mitral to apical peak velocities and the pressure difference ({Delta}LVPmitral-apex) increased markedly during inotropic stimulation with isoprenaline and decreased after induction of LV failure by coronary microembolization (Fig. 6 and Table 1). In the pooled data, the mitral to apical peak velocity correlated strongly with {Delta}LVPmitral-apex (r = 0.92, p < 0.001).



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Figure 6 One representative dog showing intraventricular diastolic pressure gradients between the left ventricular (LV) mitral and apical regions at baseline (upper panel), after induction of acute LV failure by microembolization (middle panel), and during isoprenaline (lower panel). The LV inflow tract pressure gradient is indicated by the vertical lines, and its peak at baseline, during LV failure, and isoprenaline is 2.6, 1.4, and 5.3 mm Hg, respectively. LVP = pressure in the left ventricle.

 
Volume loading
Intravenous volume loading increased the peak mitral to apical filling velocities slightly (Table 2). However, in contrast to the observations during isoprenaline, we found no significant increase of the mitral to apical pressure gradient (Table 2).

Apex to subaortic (LV outflow tract) velocities and pressure differences.   Isoprenaline and lv failure
With the color M-mode Doppler cursor oriented from the apex toward the aortic valve, blue-encoded velocities directed toward the subaortic region dominated during early diastole (Fig. 3). These velocities were first observed during deceleration of the mitral to apical flow and continued into late diastole (Fig. 3 and 4B). Peak velocities in the LV outflow tract occurred 48 ± 27 ms after the peak mitral to apical velocities and were associated with a positive pressure difference from the apex to the subaortic region. This pressure difference increased with isoprenaline and decreased after coronary microembolization (Table 1). At baseline, the peak pressure difference in the LV outflow tract ({Delta}LVPapex-aorta) preceded peak velocity by 18 ± 11 ms. In the pooled data, {Delta}LVPapex-aorta correlated strongly with peak velocities in the LV outflow and inflow tracts (r = 0.82, p < 0.01 and r = 0.85, p < 0.001, respectively).

Volume loading
Volume loading caused a significant increase in {Delta}LVPapex-aortafrom 3.5 ± 0.7 to 5.1 ± 1.0 mm Hg (p < 0.01) and tended to increase the peak velocity from 0.36 ± 0.12 to 0.44 ± 0.13 m/s (p = NS) (Table 2).

Pressure differences between the mitral and subaortic regions.   At baseline, there was a small, early diastolic pressure gradient (1.3 ± 0.4 mm Hg) between the sensors in the LV mitral and subaortic region (Fig. 4A,a). This pressure gradient was established 23 ± 21 ms (p < 0.01) after the start of the mitral to apical pressure gradient.

Relationship between the intraventricular pressure gradient and other hemodynamic variables.   Isoprenaline and lv failure
In the pooled data, {Delta}LVPmitral-apex correlated with tau (r = 0.82, p < 0.05) and ESV (r = –0.77, p < 0.05).

Volume loading
However, volume loading caused a significant increase in tau, from 26 ± 10 to 34 ± 3 ms (p < 0.05), and in ESV, from 12.4 ± 3.1 vs. 16.2 ± 1.7 ml (p < 0.05), without changing the {Delta}LVPmitral-apex (Table 2). Volume loading markedly increased LAP from 8.7 ± 2.5 to 16.9 ± 4.3 mm Hg (p < 0.01) (Table 2) and tended to increase the peak pressure difference between the LA and mitral tip from 2.5 ± 1.2 to 3.2 ± 1.1 mm Hg (p = NS) (Table 2).


    Discussion
 Top
 Abstract
 Methods
 Results
 Discussion
 References
 
Previous studies have shown significant intraventricular pressure gradients during rapid, early filling (5,10,11). These gradients have been demonstrated between the LV base and apex and from the apex to subaortic valve region. In a recent study, we confirmed that mitral to apical flow propagation is a function of the mitral to apical driving pressure, which is partly determined by the rate of LV relaxation (5). The present study is the first to demonstrate how the pressure gradients and intraventricular flow velocities respond to inotropic stimuli and changes in loading. Furthermore, in early diastole, we demonstrate a significant pressure gradient from the mitral tip region to the LV subaortic region, and this gradient could also play an important role in intraventricular flow and vortex formation.

Mitral to apical pressure gradient during changes in contractility and loading.   Early diastolic mitral to apical flow was associated with a significant pressure gradient. During mitral to apical flow acceleration, the gradient was directed toward the apex, and during the subsequent flow deceleration, the pressure gradient reversed. In most cases, we could also observe reversal of flow in the apical region (i.e., velocities directed toward the mitral region) (Fig. 2). The peak mitral to apical pressure gradient and flow velocities decreased during myocardial ischemia, and enhancement of LV inotropy by isoprenaline led to a marked increase in the peak pressure gradient and flow velocities.

In the present model, volume loading caused no significant change in the transmitral pressure gradient or the mitral to apical pressure gradient. This could reflect the combined effect of a rise in LAP, which tends to increase the gradient, and prolongation of tau, which has the opposite effect. There was, however, a small increase in peak filling velocities along the inflow tract, which could mean that we were not able to measure minor changes in pressure gradients induced by volume loading.

The different effects of changes in inotropy and changes in loading on the mitral to apical pressure gradient may be attributed to entirely different effects on the active and passive myocardial determinants of filling. As recently reported by Yellin (12), the myocardium behaves like a structure with an active (contractile) element in parallel with at least three passive elements. The passive elements include the force that is determined by the passive diastolic pressure–volume curve, which implies a negative force at transmural pressures below zero. Therefore, at small ESVs, diastolic suction may contribute to LV filling. During isoprenaline, the ESV tended to decrease, whereas during volume loading, the ESV markedly increased. The tau decreased with isoprenaline and increased after volume loading. Therefore, the larger intraventricular pressure gradient during isoprenaline may reflect the combined effect of an enhanced rate of active relaxation and more marked passive elastic recoil due to a smaller ESV. Other passive elements include viscoelastic effects and ventricular twist/untwist (12). Viscoelastic effects were probably enhanced by isoprenaline, because filling velocities were higher and thus may have contributed to the intraventricular pressure gradient (13). The present model does not allow us to conclude about a potential role of untwisting and shape changes. A relationship between ESV, ventricular geometry, and the intraventricular pressure gradient has been demonstrated by Nikolic et al. (11).

Regional differences in the rate of relaxation.   The peak –dP/dt at the apex was slightly delayed relative to that at the subaortic region and mitral tip. These small temporal differences probably reflect the ventricular activation time and lead to a small delay in the onset of relaxation in the apex, relative to the basal region. During most of the isovolumic relaxation time, however, pressure was falling at a faster rate at the apex than at the base; therefore, the early diastolic pressure nadir was reached first in the apex. During volume loading and after coronary microembolization, however, tau became similar in all regions. It seems likely that the regional differences in tau contribute to the early diastolic mitral to apical pressure gradient measured at baseline and during isoprenaline infusion. The mechanisms of the observed nonuniformity of tau remain to be investigated.

Pressure gradients and flow toward the subaortic region.   In the present study, we could observe how the intraventricular driving pressures and flow directions shifted during rapid, early filling. Immediately after LAP/LVP early diastolic crossover, an intraventricular pressure gradient was established, and flow accelerated from the mitral region toward the apex, and ~50 ms later, from the apex toward the subaortic region. The pressure gradient toward the subaortic region then increased progressively, whereas the mitral to apical gradient reversed. The present study does not determine whether the velocities in the LV outflow tract represent blood that flows directly from the mitral tip region or blood that has propagated through the apex or other portions of the LV cavity. The observation of a significant pressure gradient from the apex toward the subaortic region, however, suggests that the latter mechanism may have contributed. Moreover, the strong and positive relationship between this pressure gradient and the peak velocities in the outflow tract adds further evidence to this notion.

In a recent clinical study, Rødevand et al. (14) investigated patterns of intraventricular flow using high-frame-rate two-dimensional color Doppler echocardiography. The initial intraventricular filling was dominated by velocities directed toward the apex, and this flow pattern persisted as long as there was transmitral flow acceleration. At peak transmitral early filling (E wave), there was a shift in the filling pattern. During transmitral flow deceleration, the intraventricular flow pattern was dominated by velocities toward the LV outflow tract, and blood appeared to circulate toward the outflow tract as part of a high-velocity vortex near the mitral tip. These observations fit with the predictions of Yellin et al. (15), who said that the LV diastolic flow field is represented by a number of vortices that expand in a circular fashion from the mitral region. Kim et al. (16), utilizing magnetic resonance velocity mapping, confirmed the existence of a counterclockwise vortex around the anterior mitral leaflet. Such vortices may have contributed to the flow velocities in the LV outflow tract. From the present data and background information, we suggest the following sequence: immediately after mitral valve opening, blood propagates rapidly toward the apex, driven by its momentum and by the mitral to apical pressure gradient. Vortices will form lateral to this flow column and initiate flow toward the LV free wall and septum. The presence of a pressure gradient from the mitral tip toward the subaortic region will strengthen vortex formation and contribute to filling of the outflow tract. In addition, reversal of the mitral to apical pressure gradient will decelerate flow toward the apex.

Study limitations.   Because of the anesthesia and extensive surgical instrumentation employed, the present model does not represent normal physiology. The patterns of filling by CMD, however, are qualitatively similar to those observed in humans (2,4). Therefore, we believe the present model is valid for studying principles involved in the regulation of LV intracavitary flow in early diastole.

Color M-mode Doppler echocardiography has no lateral resolution and does not allow imaging of more complex flow patterns. Ischemic failure and volume loading probably enhanced vortex formation lateral to inflowing blood. Such a principle was demonstrated by Steen and Steen (17) in an in vitro study where vortex formation increased when the ratio between the nozzle area and cavity cross-sectional area decreased. This important aspect of filling was not investigated in the present study.

Conclusions.   The present study demonstrates differences in the direction and timing of pressure gradients along the LV inflow and outflow tracts during rapid, early filling. The mitral to apical pressure gradient responded differently to isoprenaline and volume loading, which may be attributed, at least in part, to different effects on ESV and the rate of LV relaxation. The decrease in the mitral to apical pressure gradient during myocardial ischemia was attributed to marked prolongation of tau, a loss of nonuniformity of tau between the apex and base, and a marked increase in ESV. In early diastole, we observed a positive pressure gradient from the apex to subaortic region and from the mitral tip to the subaortic region, which could play an important role in intraventricular vortex formation and may contribute to filling of the LV outflow tract.


    Acknowledgments
 
We thank engineer Roger Ødegaard for his important technical assistance and Maureen Raw, university secretary, for her helpful advice and assistance in the computer management.


    Footnotes
 
Dr. Steine is a recipient of a clinical research fellowship from the University of Oslo. The study has also been financed by the Norwegian Council on Cardiovascular Diseases and the Norwegian Research Council.


    References
 Top
 Abstract
 Methods
 Results
 Discussion
 References
 
1. Brun P, Tribouilloy C, Duval AM, et al. Left ventricular flow propagation during early filling is related to wall relaxation: a color M-mode Doppler analysis. J Am Coll Cardiol. 1992;20:420–432[Abstract]

2. Stugaard M, Smiseth OA, Risøe C, Ihlen H. Intraventricular early diastolic filling during acute myocardial ischemia: assessment by multigated color M-mode Doppler echocardiography. Circulation. 1993;88:2705–2713[Abstract/Free Full Text]

3. Takatsuji H, Mikami T, Urasawa K, et al. A new approach for evaluation of left ventricular diastolic function: spatial and temporal analysis of left ventricular filling flow propagation by color M-mode Doppler echocardiography. J Am Coll Cardiol. 1996;27:365–371[Abstract]

4. Smiseth OA, Steine K, Sandbaek G, Stugaard M, Gjølberg T. Mechanics of intraventricular filling: study of LV early diastolic pressure gradients and flow velocities. Am J Physiol. 1998;275:H1062–1069

5. Steine K, Stugaard M, Smiseth OA. Mechanisms of retarded apical filling in acute ischemic left ventricular failure. Circulation. 1999;99:2048–2054[Abstract/Free Full Text]

6. Little WC, Freeman GL, O’Rourke RA. Simultaneous determination of left ventricular end-systolic pressure–volume and pressure–dimension relationships in closed-chest dogs. Circulation. 1985;71:1301–1308[Abstract/Free Full Text]

7. Smiseth OA, Mjøs OD. A reproducible and stable model of acute ischemic left ventricular failure in dogs. Clin Physiol. 1982;2:225–239[Medline]

8. Craig WE, Murgo JP, Pasipoularides A. Evaluation of time course of left ventricular isovolumic relaxation in humans. Grossman W, Lorell BH. Diastolic Relaxation of the Heart. Boston: Martinus Nijhoff; 1988. p. 125–132

9. Glantz SA, Slinker BK. Primer of Applied Regression and Analysis of Variance. New York, NY: McGraw-Hill; 1990.

10. Courtois M, Kovacs SJ Jr., Ludbrook PA. Transmitral pressure–flow velocity relation: importance of regional pressure gradients in the left ventricle during diastole. Circulation. 1988;78:661–671[Abstract/Free Full Text]

11. Nikolic SD, Feneley MP, Pajaro OE, Rankin JS, Yellin EL. Origin of regional pressure gradients in the left ventricle during early diastole. Am J Physiol. 1995;268:H550–557

12. Yellin EL. Concepts related to the study of diastolic function: a personal commentary. Cardiol. 1999;33:223–236

13. Rankin JS, Arentzen CE, McHale PA, Ling D, Anderson RW. Viscoelastic properties of the diastolic left ventricle in the conscious dog. Circ Res. 1977;41:37–45[Free Full Text]

14. Rødevand O, Bjørnerheim R, Edvardsen T, Ihlen H. Diastolic flow pattern in the normal left ventricle. J Am Soc Echocardiogr. 1999;12:500–507[CrossRef][Medline]

15. Yellin EL, Peskin CS, Yoran C, et al. Mechanism of mitral valve motion during diastole. Am J Physiol. 1981;241:H389–400

16. Kim WY, Walker PG, Pedersen EM, et al. Left ventricular blood flow patterns in normal subjects: a quantitative analysis by three-dimensional magnetic resonance velocity mapping. J Am Coll Cardiol. 1995;26:224–238[Abstract]

17. Steen T, Steen S. Filling of a model left ventricle studied by color M-mode Doppler. Cardiovasc Res. 1994;28:1821–1827[Abstract/Free Full Text]




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