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J Appl Physiol 82: 908-912, 1997;
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Journal of Applied Physiology
Vol. 82, No. 3, pp. 908-912, March 1997
EXERCISE AND MUSCLE

Cardiac output estimated noninvasively from oxygen uptake during exercise

William W. Stringer, James E. Hansen, and K. Wasserman

Division of Respiratory and Critical Care Physiology and Medicine, Harbor-UCLA Medical Center, Torrance, California 90509

ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
ACKNOWLEDGEMENTS
FOOTNOTES
REFERENCES


ABSTRACT

Stringer, William W., James E. Hansen, and K. Wasserman. Cardiac output estimated noninvasively from oxygen uptake during exercise. J. Appl. Physiol. 82(3): 908-912, 1997.---Because gas-exchange measurements during cardiopulmonary exercise testing allow noninvasive measurement of oxygen uptake (VO2), which is equal to cardiac output (CO) × arteriovenous oxygen content difference [C(a-vDO2)], CO and stroke volume could theoretically be estimated if the C(a-vDO2) increased in a predictable fashion as a function of %maximum VO2 (VO2 max) during exercise. To investigate the behavior of C(a-vDO2) during progressively increasing ramp pattern cycle ergometry exercise, 5 healthy subjects performed 10 studies to exhaustion while arterial and mixed venous blood were sampled. Samples were analyzed for blood gases (pH, PCO2, PO2) and oxyhemoglobin and hemoglobin concentration with a CO-oximeter. The C(a-vDO2) (ml/100 ml) could be estimated with a linear regression [C(a-vDO2) = 5.72 + 0.105 × %VO2 max; r = 0.94]. The CO estimated from the C(a-vDO2) by using the above linear regression was well correlated with the CO determined by the direct Fick method (r = 0.96). The coefficient of variation of the estimated CO was small (7-9%) between the lactic acidosis threshold and peak VO2. The behavior of C(a-vDO2), as related to peak VO2, was similar regardless of cardiac function compared with similar measurements from studies in the literature performed in normal and congestive heart failure patients. In summary, CO and stroke volume can be estimated during progressive work rate exercise testing from measured VO2 (in normal subjects and patients with congestive heart failure), and the resultant linear regression equation provides a good estimate of C(a-vDO2).

ramp pattern cycle ergometer exercise; arterial oxygen content; mixed venous oxygen content; direct Fick cardiac output


INTRODUCTION

TO AVOID ARTERIAL and mixed venous blood sampling, a noninvasive method for estimating cardiac output (CO) during exercise has been sought for over 100 years. Prior noninvasive methods of estimating CO have relied on the rate of solution of inert gases or the estimation of CO2 contents of mixed venous and arterial blood by analyzing expired gases (indirect Fick method) (1, 3, 4). These methods require sophisticated equipment, considerable technical expertise, and subject cooperation during the required breath-holding maneuvers. These measurements are likely to be invalid during exercise in patients with heart and lung disease with varying degrees of ventilation-perfusion mismatching and lactic acidemia. The end-tidal concentration will not reflect the arterial concentration, and in the case of the indirect Fick method, the assumption of mixed venous pH cannot be used during heavy exercise.

Cardiac output or stroke volume (SV) can be expressed as CO = SV × heart rate (HR) and as CO = O2 uptake (VO2)/arteriovenous content difference [C(a-vDO2)]. Because both HR and VO2 can be easily measured during standard incremental cardiopulmonary exercise testing (12, 13), both CO and SV could be accurately quantitated if the simultaneous C(a-vDO2) could be estimated.

In two previously published studies (11, 14) involving both normal and heart failure subjects, C(a-vDO2) and CO were measured as a function of VO2. In both studies, the C(a-vDO2) increased linearly as a function of %peak VO2 (VO2 peak). Furthermore, in normal subjects as well as in patients with heart failure {ranging from patients with little or no impairment in aerobic capacity [maximum VO2 (VO2 max) > 20 ml · kg-1 · min-1] to severe impairment (VO2 max < 10 ml · kg-1 · min-1)}, the maximum C(a-vDO2) was ~13-14 ml/dl or an extraction ratio [C(a-vDO2)/arterial O2 content] of 75% at peak exercise.

We therefore hypothesized that if C(a-vDO2) as a function of exercise intensity (%VO2 max) increased in a predictable fashion, it would be possible to estimate CO noninvasively throughout exercise. To test this hypothesis, we measured C(a-vDO2) during progressive ramp pattern cycle ergometer exercise while continuously measuring VO2 and generated a regression of C(a-vDO2) as a function of %VO2 max. From these estimates, we calculated CO and compared these estimates with CO determinations by the direct Fick method.


METHODS

Subjects. After informed consent was obtained, five healthy nonsmoking male subjects performed a preliminary noninvasive increasing work rate exercise test on an electromagnetically braked cycle ergometer (type 18070, Gould-Godart, Bilthoven, The Netherlands). Exercise capacity was quantified by determining their maximum work rate, lactic acidosis threshold (LAT) by the V-slope method (2, 10), and VO2 max, defined as the VO2 averaged over the last 30 s of exercise.

Catheter placement. On the morning of testing, the subjects reported to the cardiac catheterization laboratory, and the right groin was shaved, cleaned, and anesthetized with lidocaine. Under sterile conditions, an 8-cm 10-Fr sheath (Cordis, Miami, FL) was inserted percutaneously into the right femoral vein 2 cm below the inguinal ligament by using the Seldinger technique (8). The sheath was secured with a single suture, and the catheter tip was positioned ~4 cm above the inguinal ligament. A flow-directed pulmonary arterial catheter (Arrow International, Reading, PA) was then introduced via the femoral vein sheath and positioned in the main pulmonary artery under direct fluoroscopic guidance. After catheter placement, the subject returned to the exercise physiology laboratory where a left brachial arterial catheter was placed percutaneously under local anesthesia. All catheters were attached to an infusion apparatus (ContinuFlo, Baxter Health Care, Deerfield, IL) that provided a slow continuous flow (15 ml/h) of heparinized normal saline (1,000 U heparin/l) as well as periodic bolus flushing of the catheter.

Exercise protocols. Two progressive exercise tests to exhaustion were performed in each of the five subjects, with work rate increased at 25-40 W/min, depending on fitness. At least 1 h of rest separated the two exercise bouts.

Respired gas analysis. The subjects respired through a mouthpiece during each exercise period. Expired air was directed to a Fleisch no. 3 pneumotachograph via a breathing valve (100 ml dead space). Respired PO2, PCO2, and N2 partial pressure at the mouthpiece were continuously measured by mass spectrometry (MGA-1100, Perkin Elmer, Pomona, CA). Minute ventilation (BTPS) and VO2 and CO2 output (VCO2) (both STPD) were calculated as whole breath averages for each 30-s exercise period, as previously reported (9). The LAT was determined from a plot of millimoles VCO2 vs. millimoles VO2 (V-slope plot) as described by Beaver et al. (2).

Blood samples. Blood was sampled simultaneously from the pulmonary artery and brachial artery during rest, unloaded cycling, and at each minute of increasing work rate exercise.

Blood analysis. The blood samples were agitated and immediately chilled in an ice slurry. Blood-gas analysis was performed with an Instrumentation Laboratories 1306 blood- gas machine for pH, PCO2, PO2, and on a 482 CO-oximeter for total hemoglobin (Hb) and oxyhemoglobin saturation (Lexington, MA).

Data analysis and statistics. Data from the first and second tests from each subject were treated separately. The following standard equations were utilized in the data analysis
CO = <A><AC>V</AC><AC>˙</AC></A><SC>o</SC><SUB>2</SUB>/C(a-vD<SUB>O<SUB>2</SUB></SUB> )  (direct Fick method) (1)
SV = CO/HR (2)
O<SUB>2</SUB> pulse = <A><AC>V</AC><AC>˙</AC></A><SC>o</SC><SUB>2</SUB>/HR (3)
O<SUB>2</SUB> content = 1.34 &z.ccirf; [Hb] &z.ccirf; O<SUB>2</SUB> saturation (4)
C(a-vD<SUB>O<SUB>2</SUB></SUB>) = arterial O<SUB>2</SUB> content 
− mixed venous O<SUB>2</SUB> content (5)
Extraction ratio = [C(a-vD<SUB>O<SUB>2</SUB></SUB> )/arterial O<SUB>2</SUB> content] (6)
where [Hb] is Hb concentration.

Group mean values for mixed venous and arterial PO2, O2 Hb saturation, O2 content, and C(a-vDO2) were analyzed by repeated-measures analysis of variance. C(a-vDO2) was correlated with %VO2 max by the use of linear regression analysis. A P < 0.05 was considered significant. All values are expressed as means ± SE, unless otherwise specified.


RESULTS

The subject's physical characteristics and aerobic parameters were age 25 ± 6 (SD) yr, height 179 ± 4 cm, weight 72 ± 5 kg, resting arterial Hb 15.4 ± 0.21 g/dl, maximum work rate 296 ± 50 W, VO2 max 3.77 ± 0.61 l/min, and LAT 1.84 ± 0.36 l/min (49% of VO2 max; see Table 1).

Table 1. VO2 measured by gas exchange at LAT and maximum exercise and C(a-vDO2) and extraction ratios at rest, LAT, and maximum exercise


Subject No.  VO2
C(a-vDO2)
LAT C(a-vDO2)
Extraction Ratio
LAT Max Rest LAT Max %VO2 max Rest LAT Max

1
  A 2.10 4.37 5.33 11.70 17.47 52% 0.25 0.54 0.76
  B 2.25 4.17 6.00 11.75 16.00 52% 0.27 0.51 0.73
2
  A 1.55 2.80 6.57 11.80 16.19 43% 0.30 0.54 0.70
  B 1.30 2.80 9.32 10.95 14.64 50% 0.46 0.59 0.67
3
  A 2.38 4.45 5.38 11.80 18.23 52% 0.26 0.55 0.85
  B 2.08 4.40 5.32 12.10 17.61 51% 0.28 0.53 0.85
4
  A 1.55 3.65 3.35 9.60 15.69 38% 0.16 0.46 0.67
  B 1.53 3.64 4.84 10.40 14.86 42% 0.24 0.49 0.66
5
  A 1.85 3.65 7.91 12.20 15.70 47% 0.38 0.57 0.74
  B 1.80 3.75 7.35 10.50 15.93 48% 0.39 0.54 0.78
Mean ± SD 1.84 ± 0.36  3.77 ± 0.61  6.14 ± 1.71  11.28 ± 0.87  16.23 ± 1.18  48% ± 5% 0.30 ± 0.09  0.53 ± 0.04  0.74 ± 0.07

Values are for 10 studies. Max, maximum exercise; VO2, O2 uptake; C(a-vDO2), arteriovenous O2 content difference; LAT, lactate acidosis threshold; VO2 max, maximum VO2. A, test 1; B, test 2.

In Fig. 1, the group mean direct Fick CO, HR, VO2, VCO2, lactate, SV, O2 content, and O2 pulse responses are displayed as a function of %VO2 max during exercise for the 10 exercise studies in the 5 study subjects (means ± SE). In Fig. 1A, the group mean CO (each minute during exercise) increases to ~80% of the maximal value at the LAT VO2 (which is 48% of VO2 max, on average) and then increases more gradually for the remainder of exercise. HR (Fig. 1B), in contrast, continues to increase at the same rate throughout exercise. This results in a peak in SV at approximately the LAT (Fig. 1D), with a subsequent small but statistically significant fall as exercise progresses (final value differs from LAT value, P < 0.05). The absolute values of VO2 and VCO2 are plotted against %VO2 max (Fig. 1C). VCO2 exceeds VO2 after the LAT (respiratory exchange ratio >1.0) as would be expected. Figure 1E presents the arterial and mixed venous O2 content and C(a-vDO2) during exercise. Arterial O2 content increases slightly due to the increase in [Hb] (~1 g/dl) and to a lesser degree to an increase in arterial PO2 above the LAT. Mixed venous O2 content progressively decreases during exercise, resulting in a continuous increase in C(a-vDO2). Importantly, the increase in C(a-vDO2) as a function of %VO2 max appears to be linear, increasing 51% to the LAT (49% of VO2 max) and 49% between the LAT and VO2 max. Finally, O2 pulse (Fig. 1F) increases throughout exercise, with the majority of this increase occurring before the LAT (~66%). All of the increase in O2 pulse above ~48% of VO2 max is attributable to the increase in C(a-vDO2).


Fig. 1. Group data in normal subjects during ramp exercise. Values are means ± SD; n = 10 studies. Cardiac output (CO), heart rate (HR; beats/min), O2 uptake (VO2), CO2 output (VCO2), lactate, stroke volume (SV), O2 content, and O2 pulse (O2-P) responses are shown as functions of %maximum VO2 (VO2 max) during ramp pattern cycle ergometer exercise. LAT, lactic acidosis threshold; Art, arterial; MV, mixed venous; A-V Diff, arteriovenous difference.
[View Larger Version of this Image (34K GIF file)]

The individual values of C(a-vDO2) (in ml/100 ml) as a function of %VO2 max (10 studies in 5 subjects) are displayed in Fig. 2. The linear regression applied to the data reveals that the slope is ~0.10 ml · 100 ml-1 · %VO2 max-1, and the intercept is 5.7 ml/100 ml. The even distribution (or scatter) of C(a-vDO2) over the entire range of %VO2 max values is evident as well as the close approximation by a linear regression.


Fig. 2. Arteriovenous O2 content differnce [C(a-vDO2)] as a function of %VO2 max. Data were determined from systemic arterial and pulmonary arterial blood that was simultaneously sampled each minute during 10 progressively increasing work rate exercise tests in 5 subjects.
[View Larger Version of this Image (20K GIF file)]

In Fig. 3, the group mean C(a-vDO2) values are plotted as a function of measured CO (±SE) with VO2 isopleths generated from the equation VO2 = CO × C(a-vDO2) overlaid on the data. Graphing of CO as a function of C (a-vDO2) results in a rectangular hyperbole for each VO2. This display demonstrates three points: 1) the importance of concurrent increases in both CO and C(a-vDO2) to obtain the highest VO2 during exercise; 2) as the LAT is exceeded, CO increase plays a lesser role and C(a-vDO2) plays a greater role in the increase in VO2 (as illustrated in Fig. 1, A and E); and 3) C(a-vDO2) becomes less important in estimating CO as the maximal C(a-vDO2) is approached because the slope of the hyperbola becomes proportionately more shallow.


Fig. 3. CO as a function of C(a-vDO2) with superimposed VO2 isopleths. Group mean is ±SE. Isopleths are those calculated from following equation: VO2 = CO × C(a-vDO2) for various VO2 values. Vertical hatched bars are means ± SD taken from Table 1. VO2 peak, peak VO2.
[View Larger Version of this Image (40K GIF file)]

In Fig. 4, the COs estimated from VO2 and C(a-vDO2) from the equation established from the data in Fig. 2 are plotted against the directly measured COs (calculated by the Fick principle for O2). Each point is determined from the data set of simultaneously measured arterial and mixed venous O2 content and VO2. Estimated CO = measured VO2/[5.721 + (0.1047 × %VO2 max)]. As can be seen, the directly measured and estimated COs are highly correlated, and the slope and intercept do not differ statistically from one and zero, respectively. In Fig.4B, the absolute deviation of the estimated CO and the measured (Fick) COs are displayed. In Fig. 4C, the %deviation from the measured value across the range of COs is displayed. The deviation from the directly measured values was almost always 15% or less across the entire range of COs (5-28 l/min). This is comparable to the variability of estimating CO by any of the methods currently available (6, 7).


Fig. 4. Estimated CO (Fig. 2 equation) as a function of measured CO (direct Fick method). CO was estimated from VO2 and C(a-vDO2) by using the equation [C(a-vDO2) = 5.721 + (0.1047 × %VO2 max); Fig. 4A]. Absolute (Fig. 4B) and relative deviations (Fig. 4C) plotted against measured COs (calculated by Fick principle for O2).
[View Larger Version of this Image (25K GIF file)]

Table 1 displays the mean VO2 values measured by gas exchange at LAT and maximum exercise and the C(a-vDO2) and the extraction ratios at rest, LAT, and maximum exercise. There is considerably less variation in C(a-vDO2) and the extraction ratio at LAT and at VO2 max [coefficient of variation (CV) = SD/mean congruent 7-9%] than at rest (CV = 20-30%).

Figure 5 shows the data of Weber and Janicki (14), Sullivan et al. (11), and the present study for the values of CO and C(a-vDO2) plotted on a graph showing the VO2 isopleths. The Sullivan et al. study contained normal study subjects as well as patients with CHF; the Weber and Janicki (14) study contained only CHF patients with a range of disease severity. The reduction in measured VO2 (and the subsequent decreased ability to perform external work) during exercise in the patients with cardiac disease was primarily related to a reduced ability to increase CO rather than a reduced ability to increase C(a-vDO2). Regardless of the level of maximally measured VO2 [normal subjects (>54 ml · kg-1 · min-1) to CHF patients (<10 ml · kg-1 · min-1)], the maximal C(a-vDO2) at end exercise were all 12.5-16.5 ml/100 ml. [Note the Hb values used to calculate the C(a-vDO2) were not detailed in either study, and anemia in the patients would result in a reduced maximal C(a-vDO2)]. If the C(a-vDO2) of the studies by Weber and Janicki (14) and Sullivan et al. (11) (both CHF patients and normal subjects) are plotted with the present study as a function of %VO2 max (Fig. 6), a similar regression, intercept, and slope comparable to Fig. 2 are obtained, despite a wide variation in cardiac function.


Fig. 5. CO in normal and congestive heart failure patients (CHF). Data are shown from Sullivan [ Sullivan et al. (11)] and Weber [Weber and Janicki (14)] studies and from present study for values of CO and measured C(a-vDO2) plotted on a graph showing VO2 isopleths. Normals, normal subjects.
[View Larger Version of this Image (45K GIF file)]


Fig. 6. Regression of C(a-vDO2) values. If C(a-vDO2) from studies of Weber and Janicki (14) and Sullivan et al. (11) (both congestive heart failure and normal subjects) are plotted with present study as a function of %VO2 max, a similar regression with a similar intercept and slope to those in Fig. 2 is obtained, despite a wide variation in cardiac function.
[View Larger Version of this Image (25K GIF file)]


DISCUSSION

The recognition by Fick (5) that virtually all of the heart's output passed through the lungs and, therefore, that the law of conservation of mass could be applied to measure CO from measured VO2 and the O2 content differences across the lung sets the foundation for the present study. A totally noninvasive determination of CO and SV during exercise would be very useful in normal subjects as well as in patients with various degrees of cardiac insufficiency. Both CO and SV could be estimated from VO2 and HR if the behavior of C(a-vDO2) were known. Because C(a-vDO2) behaves in a consistent pattern in response to upright cycle exercise in the present study (and in other reports) (11, 14), we believe that CO can be estimated from VO2 alone at the LAT and VO2 max on the basis of the predictability and reduced variability of C(a-vDO2) at these points.

We found that in normal subjects, the majority of the CO increase occurred before the LAT (Fig. 1A), although VO2 continued to increase throughout exercise (Fig. 1C). C(a-vDO2) increased in a relatively linear fashion throughout exercise (Figs. 1E and 2). Additionally, the predicted CO with the use of the linear regression equation from Fig. 2 resulted in small, nonsystematic deviations from the actual CO measurements (Fig. 4). If VO2 max were not reached during exercise, the CO could be estimated from a C(a-vDO2) of 11.3 ml/100 ml (see Fig. 5) at the LAT because this level of exercise is reached in normal subjects and in most patients with cardiovascular and lung diseases during exercise testing. Finally, we found the highest SV is reached at the LAT (Fig. 1D) in normal subjects; SV is unlikely to rise much farther with increasing exercise intensity either in patients or in normal subjects. In a comparison of the results from the present study to prior studies in which CO and C(a-vDO2) were determined in normal subjects and in patients with CHF (1114), the C(a-vDO2) values were quite similar when compared at VO2 peak (Fig. 6), despite a very large range of CO responses.

Therefore, in a consideration of the interrelationships among CO, C(a-vDO2), and VO2, as plotted in Figs. 3 and 5, and the relatively narrow ranges of C(a-vDO2) at the LAT and VO2 peak, three major points become apparent. 1) In normal subjects, both CO and C(a-vDO2) increase severalfold from rest to VO2 peak. 2) In patients with cardiovascular disease resulting in a reduced VO2 peak, the CO can be validly estimated because it is much more dependent on the VO2 peak reached than the absolute level of C(a-vDO2) estimated [note the shallow slope of the isopleths as maximal C(a-vDO2) is approached]. 3) In CHF patients and normal subjects, CO (and peak SV) can be well estimated from the VO2 at the subject's LAT. Although patients with primary lung disease would be expected to manifest a similarly low VO2 peak (see above), the present results must be evaluated and validated in this particular subject group.

We conclude that CO can be accurately estimated from VO2 during exercise in normal subjects and patients with heart failure by measuring the LAT or VO2 peak. From these data and HR, SV can be calculated. This can provide a simple and low-cost assessment of cardiac function (CO and SV) in response to exercise that is independent of disturbed lung physiology and acid-base changes during exercise.


ACKNOWLEDGEMENTS

The authors thank Jay Reeck for contributions to the analysis and presentation of this manuscript.


FOOTNOTES

Address for reprint requests: W. W. Stringer, Div. of Respiratory and Critical Care, Physiology and Medicine, Los Angeles County Harbor-UCLA Medical Center, Harbor Mail Box 405, 1000 West Carson St., Torrance, CA 90509-2910.

Received 22 July 1996; accepted in final form 24 October 1996.


REFERENCES

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3. Collier, C. R. Determination of mixed venous CO2 tensions by rebreathing. J. Appl. Physiol. 9: 25-29, 1956. [Abstract/Free Full Text]
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D.P. Nicholls, C. O'Dochartaigh, and M.S. Riley
Circulatory power--a new perspective on an old friend
Eur. Heart J., August 2, 2002; 23(16): 1242 - 1245.
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J. Appl. Physiol.Home page
S. Godfrey, H. Kazemi, D. Systrom, K. Wasserman, X.-G. Sun, J. E. Hansen, H. Ting, and W. W. Stringer
Carbon Dioxide Pressure-Concentration Relationship in Arterial and Mixed Venous Blood
J Appl Physiol, November 1, 2001; 91(5): 2412 - 2414.
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ChestHome page
R. Bigi, A. Desideri, R. Rambaldi, L. Cortigiani, C. Sponzilli, and C. Fiorentini
Angiographic and Prognostic Correlates of Cardiac Output by Cardiopulmonary Exercise Testing in Patients With Anterior Myocardial Infarction
Chest, September 1, 2001; 120(3): 825 - 833.
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CirculationHome page
X.-G. Sun, J. E. Hansen, R. J. Oudiz, and K. Wasserman
Exercise Pathophysiology in Patients With Primary Pulmonary Hypertension
Circulation, July 24, 2001; 104(4): 429 - 435.
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J. Physiol.Home page
F Ozyener, H B Rossiter, S A Ward, and B J Whipp
Influence of exercise intensity on the on- and off-transient kinetics of pulmonary oxygen uptake in humans
J. Physiol., June 15, 2001; 533(3): 891 - 902.
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J. Appl. Physiol.Home page
S. E. Bearden and R. J. Moffatt
{V}O2 and heart rate kinetics in cycling: transitions from an elevated baseline
J Appl Physiol, June 1, 2001; 90(6): 2081 - 2087.
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J. Appl. Physiol.Home page
X.-G. Sun, J. E. Hansen, W. W. Stringer, H. Ting, and K. Wasserman
Carbon dioxide pressure-concentration relationship in arterial and mixed venous blood during exercise
J Appl Physiol, May 1, 2001; 90(5): 1798 - 1810.
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ChestHome page
X.-G. Sun, J. E. Hansen, H. Ting, M.-L. Chuang, W. W. Stringer, D. Adame, and K. Wasserman
Comparison of Exercise Cardiac Output by the Fick Principle Using Oxygen and Carbon Dioxide
Chest, September 1, 2000; 118(3): 631 - 640.
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J Am Coll CardiolHome page
K. Wasserman and R. Oudiz
Overdosing with prostacyclin in primary pulmonary hypertension
J. Am. Coll. Cardiol., June 1, 2000; 35(7): 1995 - 1996.
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J. Appl. Physiol.Home page
M.-L. Chuang, H. Ting, T. Otsuka, X.-G. Sun, F. Y. L. Chiu, W. L. Beaver, J. E. Hansen, D. A. Lewis, and K. Wasserman
Aerobically generated CO2 stored during early exercise
J Appl Physiol, September 1, 1999; 87(3): 1048 - 1058.
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HeartHome page
G P Armstrong, S G Carlier, K Fukamachi, J D Thomas, and T H Marwick
Estimation of cardiac reserve by peak power: validation and initial application of a simplified index
Heart, September 1, 1999; 82(3): 357 - 364.
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