| Literature DB >> 35207235 |
Akito Miyazaki1, Keisuke Miki1, Ryoji Maekura2, Kazuyuki Tsujino1, Hisako Hashimoto1, Mari Miki3, Hiromi Yanagi4, Taro Koba1, Takuro Nii1, Takanori Matsuki1, Hiroshi Kida1.
Abstract
BACKGROUND: In cardiopulmonary exercise testing (CPET), oxygen uptake (V'O2) is calculated using the product of minute ventilation (V'E) and the difference between inspiratory and expiratory O2 concentrations (ΔFO2). However, little is known about the response of ΔFO2 to pulmonary rehabilitation (PR). The aim of the present study was (1) to investigate whether PR increases peak V'O2, based on whether ΔFO2 or V'E at peak exercise increase after PR, and (2) to investigate whether an improvement in ΔFO2 correlates with an improvement in ventilatory efficiency.Entities:
Keywords: dyspnea; exercise training; oxygen uptake; ventilation
Year: 2022 PMID: 35207235 PMCID: PMC8878603 DOI: 10.3390/jcm11040963
Source DB: PubMed Journal: J Clin Med ISSN: 2077-0383 Impact factor: 4.241
Patient baseline characteristics (n = 38).
| All Patients ( | |
|---|---|
| Age, years | 68.9 (9.1) |
| Sex, male/female | 37/1 |
| BMI, kg·m−2 | 20.1 (3.7) |
| GOLD stage, III/IV | 21/17 |
| Pulmonary function | |
| FEV1, L | 0.84 (0.29) |
| %FEV1, %predicted | 31.6 (10.3) |
| FEV1/FVC, % | 39.5 (9.2) |
| VC, L | 2.69 (0.62) |
| %VC, %predicted | 83.3 (16.9) |
| IC, L | 1.71 (0.46) |
| 6-MWD *, m | 262.8 (113.3) |
| Incremental CPET | |
| Peak | 13.3 (3.7) |
| Percent predicted peak | 57.8 (16.4) |
| SAMA | 17 |
| LAMA | 9 |
| SABA | 6 |
| LABA | 14 |
| ICS | 9 |
| LAMA·LABA/ICS·LABA/Triple therapy | 7/4/1 |
Data are presented as means (standard deviation) unless otherwise specified. BMI: body mass index; GOLD: Global Initiative for Chronic Obstructive Lung Disease; FEV1: forced expiratory volume in one second; FVC: forced vital capacity; VC: vital capacity; IC: inspiratory capacity; six-MWD: six-minute walk distance; CPET: cardiopulmonary exercise testing; V’O2: oxygen uptake; SAMA: short-acting muscarinic antagonist; LAMA: long-acting muscarinic antagonist; SABA: short-acting β2-agonist; LABA: long-acting β2-agonist; ICS: inhaled corticosteroid. * The data of 6-MWD were not obtained from two patients.
Changes in cardiopulmonary variables after pulmonary rehabilitation in the peak V’O2 increase and peak V’O2 non-increase groups (n = 38).
| Peak | Peak | ||||
|---|---|---|---|---|---|
| Pre-PR | Difference | Pre-PR | Difference | ||
| Pulmonary function | |||||
| FEV1, L | 0.77 (0.26) | +0.16 (0.19) * | 0.87 (0.30) | +0.02 (0.13) | 0.0514 |
| IC, L | 1.58 (0.42) | +0.16 (0.34) | 1.78 (0.47) | −0.10 (0.33) | 0.0735 |
| 6-MWD †, m | 292.3 (104.6) | +43.2 (53.6) ** | 243.2 (117.0) | +56.8 (65.8) *** | 0.6373 |
| Incremental CPET at peak exercise | |||||
| Dyspnea, Borg scale | 6.6 (2.5) | −1.1 (2.0) | 6.3 (2.6) | −1.3 (2.2) ** | 0.8299 |
| Work rate, watts | 39 (9) | +9 (8) ** | 39 (14) | +2 (10) | 0.0183 |
| 521.5 (152.6) | +33.6 (52.6) | 547.4 (80.0) | −31.4(51.5) * | 0.0045 | |
| R | 1.04 (0.08) | +0.03 (0.08) | 1.03 (0.11) | −0.01 (0.05) | 0.0863 |
| 29.3 (7.4) | +4.0 (7.3) ** | 29.8 (6.6) | −1.2 (2.5) * | 0.0008 | |
| 986 (182) | +133 (154) *** | 1025 (258) | +15 (153) | 0.0062 | |
| 31 (8) | −1 (6) | 30 (5) | −1 (6) | 0.9516 | |
| Ti/Ttot | 0.37 (0.04) | +0.01 (0.04) | 0. 36 (0.07) | +0.02 (0.05) | 0.7038 |
| 0.37 (0.08) | −0.02 (0.04) | 0.35 (0.06) | +0.02 (0.05) * | 0.0185 | |
| HR, beats·min−1 | 116 (18) | +6 (10) | 119 (20) | + 1 (16) | 0.1112 |
| O2 pulse, mL·beats−1 | 6.7 (1.2) | +0.4 (0.7) * | 6.0 (1.5) | −0.5 (0.5) **** | 0.0001 |
| SpO2, % | 90.4 (4.6) | 0 (2.5) | 89.5 (5.5) | −0.6 (3.2) | 0.4565 |
| PetCO2, mmHg | 37.8 (6.7) | +0.4 (3.2) | 37.3 (4.9) | −1.3 (3.5) | 0.1463 |
| ΔFO2, % | 2.79 (0.50) | +0.15 (0.33) | 2.91 (0.42) | −0.20 (0.30) ** | 0.0037 |
| 0.46 (0.20) | −0.01 (0.41) | 0.40 (0.25) | +0.01 (0.23) | 0.5701 | |
| 43.8 (7.8) | -1.1 (4.2) | 42.5 (7.6) | +2.6 (4.2) ** | 0.0168 | |
| 43.3 (8.0) | −1.4 (3.1) | 42.3 (7.6) | +2.4 (4.2) ** | 0.0062 | |
| 31.7 (7.2) | +1.3 (4.0) | 34.3 (10.2) | +3.3 (4.7) ** | 0.3884 | |
Data are presented as means (standard deviation). V’O2: oxygen uptake; inc.: increase; PR: pulmonary rehabilitation; FEV1: forced expiratory volume in one second; IC: inspiratory capacity; 6-MWD: six-minute walk distance; CPET: cardiopulmonary exercise testing; R: gas exchange ratio; V’E: minute ventilation; VT: tidal volume; fR: breathing frequency; Ti/Ttot: inspiratory duty cycle; VD/VT: physiological dead space/tidal volume ratio; HR: heart rate; SpO2: percutaneous oxygen saturation; PetCO2: partial pressure of end-tidal carbon dioxide; ΔFO2: difference between inspiratory and expiratory O2 concentrations; VD-intercept: VD calculated as V’E-axis intercept/fR-axis intercept, obtained from V’E vs. V’CO2 and fR vs. V’CO2 relationships (see the Methods section for details); V’CO2: carbon dioxide output; V’E/V’CO2-nadir: lowest value of the ratio between V’E and V’CO2 during exercise (see the Methods section for details); V’E–V’CO2-slope: the slope was determined by linear regression analysis of V’E to V’CO2 relationship (see the Methods for details). * p < 0.05, ** p < 0.01, *** p < 0.001, **** p < 0.0001: compared with pre-PR values (within-group difference). † The data of six-MWD from 2 patients were not obtained. ††: 27 patients (peak V’O2 inc. group, n = 11; peak V’O2 non-increase group, n = 16), whose anaerobic thresholds were obtained before and after pulmonary rehabilitation were analyzed.
Comparison between groups stratified according to the change in peak ΔFO2 or peak V’E (n = 38) after pulmonary rehabilitation.
| Peak ΔFO2 Inc. Group ( | Peak ΔFO2 Non-Inc. Group ( | ||
|---|---|---|---|
| Age, years | 71.4 (8.5) | 66.8 (9.2) | 0.1301 |
| Sex, male/female | 16/1 | 21/0 | 0.2600 |
| BMI, kg·m−2 | 19.7 (3.1) | 20.5 (4.2) | 0.6918 |
| GOLD stage, III/IV | 9/8 | 12/9 | 0.7956 |
| Pulmonary function | |||
| FEV1, L | 0.78 (0.27) | 0.88 (0.30) | 0.3250 |
| %FEV1, %predicted | 30.6 (10.2) | 32.4 (10.5) | 0.6281 |
| FEV1/FVC, % | 41.0 (7.0) | 38.3 (10.6) | 0.3041 |
| VC, L | 2.57 (0.62) | 2.77 (0.62) | 0.2838 |
| %VC, %predicted | 81.8 (17.3) | 84.5 (16.8) | 0.6073 |
| IC, L | 1.57 (0.41) | 1.81 (0.48) | 0.1487 |
| Incremental CPET | |||
| peak | 13.0 (4.1) | 13.6 (3.3) | 0.6073 |
| LAMA·LABA/ICS·LABA/Triple | 2/3/0 | 5/1/1 | 0.3836 |
|
|
|
| |
| Age, years | 67.5 (10.0) | 70.4 (8.0) | 0.3960 |
| Sex, male/female | 19/1 | 18/0 | 0.3363 |
| BMI, kg·m−2 | 20.6 (4.7) | 19.7 (2.4) | 0.6295 |
| GOLD stage, III/IV | 12/8 | 9/9 | 0.5359 |
| Pulmonary function | |||
| FEV1, L | 0.88 (0.30) | 0.78 (0.27) | 0.2856 |
| %FEV1, %predicted | 33.1 (10.2) | 30.0 (10.4) | 0.4047 |
| FEV1/FVC, % | 40.6 (9.4) | 38.2 (9.0) | 0.5296 |
| VC, L | 2.79 (0.66) | 2.55 (0.56) | 0.2193 |
| %VC, % | 86.5 (17.5) | 79.7 (15.8) | 0.1561 |
| IC, L | 1.74 (0.51) | 1.68 (0.42) | 0.6808 |
| Incremental CPET | |||
| peak | 13.1 (3.6) | 13.6 (3.9) | 0.7366 |
| LAMA·LABA/ICS·LABA/Triple | 1/3/1 | 6/1/0 | 0.0855 |
Data are presented as means (standard deviation) unless otherwise specified. ΔFO2: difference between inspiratory and expiratory O2 concentrations; V’E: minute ventilation; inc.: increase; BMI: body mass index; GOLD: Global Initiative for Chronic Obstructive Lung Disease; FEV1: forced expiratory volume in one second; FVC: forced vital capacity; VC: vital capacity; IC: inspiratory capacity; CPET: cardiopulmonary exercise testing; V’O2: oxygen uptake; LAMA: long-acting muscarinic antagonist; LABA: long-acting β2-agonist; ICS: inhaled corticosteroid.
Changes in the results of exercise testing after pulmonary rehabilitation in the peak ΔFO2 increase and non-increase groups.
| Peak ΔFO2 Inc. Group ( | Peak ΔFO2 Non-Inc. Group ( | ||||
|---|---|---|---|---|---|
| Pre-PR | Difference | Pre-PR | Difference | ||
| 6-MWD ‡, m | 265.1 (128.4) | +52.2 (70.7) | 260.7 (100.7) | +50.6 (51.8) | 0.4779 |
| Incremental CPET at peak exercise | |||||
| Dyspnea, Borg scale | 6.3 (2.9) | −0.8 (2.4) | 6.5 (2.3) | −1.6 (1.8) *** | 0.2457 |
| 13.0 (4.1) | +0.7 (1.7) | 13.6 (3.3) | −0.6 (2.2) | 0.0136 | |
| Exercise time, sec | 416 (154) | +58 (72) ** | 418 (160) | +51 (113) | 0.8717 |
| Work rate, watts | 39 (12) | +6 (7) ** | 40 (13) | +4 (12) | 0.5296 |
| 502.3 (111.8) | +50.3 (38.7) *** | 564.5 (110.3) | −49.1 (30.0) **** | <0.0001 | |
| R | 1.02 (0.10) | +0.02 (0.06) | 1.03 (0.10) | +0.00 (0.08) | 0.3104 |
| 29.2 (8.0) | −0.1 (2.7) | 29.9 (5.9) | +1.4 (6.8) | 0.7134 | |
| 986 (206) | +110 (153) ** | 1031 (253) | +16 (159) | 0.0167 | |
| 1040 (204) | +155 (195) * | 1029 (231) | +76 (194) | 0.1798 | |
| 30 (5) | −3 (4) ** | 31 (7) | 0 (7) | 0.0049 | |
| Ti/Ttot | 0.37 (0.05) | 0 (0.04) | 0.36 (0.07) | +0.02 (0.05) | 0.4788 |
| 0.38 (0.06) | −0.01(0.04) | 0.34 (0.07) | +0.02 (0.05) * | 0.0534 | |
| HR, beats·min−1 | 113 (20) | +6 (9) * | 122 (18) | 0 (17) | 0.2210 |
| O2 pulse, mL·beats−1 | 5.8 (1.5) | −0.1 (0.6) | 5.9 (1.4) | −0.3 (0.8) * | 0.2218 |
| SpO2, % | 89.6 (5.4) | −0.9 (2.5) | 90.0 (5.0) | +0.0 (3.3) | 0.3656 |
| PetCO2, mmHg | 37.8 (5.8) | +1.4 (3.0) | 37.2 (5.5) | −2.4 (2.8) *** | 0.0007 |
| 44.4 (7.1) | −2.4 (2.8) ** | 418 (8.0) | +4.2 (3.4) **** | <0.0001 | |
| 6.6 (2.6) | −0.5 (1.6) | 6.0 (3.4) | −0.8 (2.7) | 0.9298 | |
| 0.44 (0.26) | +0.10 (0.36) | 0.41 (0.20) | −0.07 (0.24) | 0.4738 | |
| 44.0 (7.4) | −2.1 (2.6) ** | 41.6 (7.9) | +3.5 (3.5) **** | <0.0001 | |
| 32.5 (6.7) | +0.8 (3.9) | 34.0 (10.9) | +4.1 (4.5) *** | 0.0413 | |
| Time slope, sec·mL−1·min | 1.04 (0.29) † | +0.02 (0.33) | 0.91 (0.30) | +0.20 (0.20) *** | 0.0302 |
| The causes to stop during CPET | Pre-PR | Post-PR | Pre-PR | Post-PR | Not evaluated |
| Dyspnea/leg fatigue | 10/7 | 9/8 | 15/6 | 11/10 * | Not evaluated |
Data are presented as means (standard deviation). Peak ΔFO2: difference between inspiratory and expiratory O2 concentrations at peak exercise; inc.: increase; PR: pulmonary rehabilitation; six-MWD: six-minute walk distance; CPET: cardiopulmonary exercise testing; V’O2: oxygen uptake; R: gas exchange ratio; V’E: minute ventilation; VT: tidal volume; fR: breathing frequency; Ti/Ttot: inspiratory duty cycle; VD/VT: physiological dead space/tidal volume ratio; HR: heart rate; O2 pulse: V’O2/HR; SpO2: percutaneous oxygen saturation; PetCO2: partial pressure of end-tidal carbon dioxide; V’CO2: carbon dioxide output; VD-intercept: VD calculated as V’E-axis intercept/fR-axis intercept, obtained from V’E vs. V’CO2 and fR vs. V’CO2 relationships (see the Methods section for details); V’E/V’CO2-nadir: lowest value of the ratio between V’E and V’CO2 during exercise (see the Methods section for details); V’E–V’CO2-slope: the slope was determined by linear regression analysis of V’E to V’CO2 obtained during exercise (see the Methods section for details); Time slope: ratio of exercise time until exhaustion to ΔV’O2 (peak minus resting V’O2) during CPET (see the Methods section for details). * p < 0.05, ** p < 0.01, *** p < 0.001, **** p < 0.0001: compared with pre-PR values (within-group difference). † p < 0.05: compared with pre-PR values between the two groups. ‡ The data of 6-MWD were not obtained from two patients. ††: 27 patients (peak ΔFO2 inc. group, n = 12; peak ΔFO2 non-increase group, n = 15), whose anaerobic thresholds were obtained before and after pulmonary rehabilitation were analyzed.
Changes in the results of exercise testing after pulmonary rehabilitation in the peak V’E increase and non-increase groups.
| Peak | Peak | ||||
|---|---|---|---|---|---|
| Pre-PR | Difference | Pre-PR | Difference | ||
| 6-MWD †, m | 268.9 (102.8) | +43.7 (55.1) | 256.4 (126.4) | +59.5 (67.0) | 0.5860 |
| Incremental CPET at peak exercise | |||||
| Dyspnea, Borg scale | 7.3 (2.0) | −1.8 (2.1) *** | 5.5 (2.8) | −0.6 (2.0) | 0.0778 |
| 13.1 (3.6) | +0.8 (2.3) | 13.6 (3.9) | −0.9 (1.4) ** | 0.0109 | |
| Exercise time, sec | 422 (147) | +77 (110) ** | 411 (167) | +29 (72) * | 0.1077 |
| Work rate, watts | 41 (11) | +6 (11) | 38 (14) | +4 (8) | 0.8725 |
| 536.0 (124.6) | −1.7 (64.1) | 538.0 (102.7) | −9.0 (58.1) | 0.6429 | |
| R | 1.04 (0.10) | +0.02 (0.07) | 1.02 (0.11) | −0.01 (0.06) | 0.3404 |
| 1043 (251) | +79 (160) * | 976 (209) | +35 (165) | 0.1932 | |
| 1058 (224) | +102 (167) * | 1003 (212) | +118 (231) | 0.9683 | |
| 30 (7) | +1 (5) | 30 (6) | −3 (6) * | 0.0415 | |
| Ti/Ttot | 0.36 (0.05) | +0.01 (0.04) | 0. 36 (0.07) | +0.02 (0.05) | 0.6593 |
| 0.36 (0.08) | +0.00 (0.05) | 0.36 (0.05) | +0.00 (0.05) | 0.9415 | |
| HR, beats·min−1 | 122 (17) | +6 (12) | 114 (21) | −1 (16) | 0.4035 |
| O2 pulse, mL·beats−1 | 5.6 (1.2) | +0.1 (0.7) | 6.1 (1.6) | −0.5 (0.6) ** | 0.0108 |
| SpO2, % | 90.3 (4.7) | +0.1 (2.8) | 89.3 (5.6) | −0.9 (3.1) | 0.1723 |
| PetCO2, mmHg | 37.5 (6.3) | −1.0 (2.8) | 37.4 (4.7) | −0.4 (4.1) | 0.5200 |
| ΔFO2, % | 2.85 (0.50) | −0.10 (0.34) | 2.89 (0.41) | −0.03 (0.37) | 0.4558 |
| 43.2 (8.3) | +1.8 (4.9) | 42.8 (7.1) | +0.6 (4.2) | 0.2792 | |
| 6.7 (2.7) | −0.2 (2.0) | 5.9 (3.3) | −1.2 (2.4) * | 0.1883 | |
| 0.44 (0.20) | −0.01 (0.37) | 0.41(0.27) | 0.03 (0.22) | 0.6674 | |
| 42.9 (8.3) | +1.2 (4.4) | 42.4 (7.1) | +0.8 (4.1) | 0.5685 | |
| 32.8 (8.5) | +2.6 (4.6) * | 33.9 (10.2) | +2.7 (4.5) * | 1.0000 | |
| Time slope, sec·mL−1·min | 0.96 (0.28) | +0.07 (0.30) | 0.98 (0.34) | +0.19 (0.25) ** | 0.3310 |
| The causes to stop during CPET | Pre-PR | Post-PR | Pre-PR | Post-PR | Not done |
| Dyspnea/leg fatigue | 14/6 | 11/9 | 11/7 | 9/9 | Not done |
Data are presented as means (standard deviation). Peak V’E: minute ventilation at peak exercise; inc.: increase; PR: pulmonary rehabilitation; six-MWD: six-minute walking distance; CPET: cardiopulmonary exercise testing; V’O2: oxygen uptake; R: gas exchange ratio; VT: tidal volume; fR: breathing frequency; Ti/Ttot: inspiratory duty cycle; VD/VT: physiological dead space/tidal volume ratio; HR: heart rate; O2 pulse: V’O2/HR; SpO2: percutaneous oxygen saturation; PetCO2: partial pressure of end-tidal carbon dioxide; ΔFO2: difference between inspiratory and expiratory O2 concentrations; V’CO2: carbon dioxide output; VD-intercept: VD calculated as V’E-axis intercept/fR-axis intercept, obtained from V’E vs. V’CO2 and fR vs. V’CO2 relationships (see the Methods section for details); V’E/V’CO2 nadir: the lowest value of the ratio between V’E and V’CO2 during exercise (see the Methods section for details); V’E–V’CO2 slope: the slope was determined by linear regression analysis of V’E to V’CO2 obtained during exercise (see the Methods section for details); Time slope: ratio of exercise time until exhaustion to ΔV’O2 (peak minus resting V’O2) during CPET (see the Methods section for details). * p < 0.05, ** p < 0.01, *** p < 0.001: compared with pre-PR values (within-group difference). † The data of 6-MWD were not obtained from two patients. ††: 27 patients (peak V’E inc. group, n = 15; peak V’E non-increase group, n = 12), whose anaerobic thresholds were obtained before and after pulmonary rehabilitation were analyzed.
Figure 1Exercise variables before and after pulmonary rehabilitation between the peak ΔFO2 increase and non-increase groups. Data are presented as means (standard error). All patients were divided into two groups based on whether or not ΔFO2 at peak exercise had increased after pulmonary rehabilitation. Peak ΔFO2: difference between inspiratory and expiratory O2 concentrations at peak exercise; inc.: increase; fR: breathing frequency; VT: tidal volume; V’E: minute ventilation; V’CO2: carbon dioxide output; SpO2: percutaneous oxygen saturation; PetCO2: partial pressure of end-tidal carbon dioxide. * p < 0.05, ** p < 0.01, *** p < 0.001, **** p < 0.0001: mean differences between pre-and post-pulmonary rehabilitation values at each exercise phase were compared between peak ΔFO2 increase and non-increase groups. Open symbols: before pulmonary rehabilitation. Closed symbols: after pulmonary rehabilitation. Squares represent VT–ventilation inflection points.
Figure 2Exercise variables before and after pulmonary rehabilitation between the peak V’E increase and non-increase groups. Data are presented as means (standard error). All patients were divided into two groups based on whether or not V’E at peak exercise had increased after pulmonary rehabilitation. V’E: minute ventilation; inc.: increase; fR: breathing frequency; VT: tidal volume; V’CO2: carbon dioxide output; SpO2: percutaneous oxygen saturation; PetCO2: partial pressure of end-tidal carbon dioxide. * p < 0.05: mean differences between pre-and post-pulmonary rehabilitation values at each exercise phase were compared between peak V’E increase and non-increase groups. Open symbols: before pulmonary rehabilitation. Closed symbols: after pulmonary rehabilitation. Squares represent VT–ventilation inflection points.
Correlations between the change in the ΔFO2 at peak exercise resulting from pulmonary rehabilitation and other parameters (n = 38).
| r | ||
|---|---|---|
| Dyspnea at peak exercise diff., Borg scale | 0.1361 | 0.4153 |
| Peak | 0.4884 | 0.0019 |
| 0.6711 | 0.0001 | |
| −0.0988 | 0.5552 | |
| 0.2655 | 0.1072 | |
| −0.3894 | 0.0157 | |
| −0.2428 | 0.1419 | |
| O2 pulse at peak exercise diff., mL·beats−1 | 0.2547 | 0.1228 |
| −0.7057 | <0.0001 | |
| −0.4578 | 0.0039 | |
| Time slope diff., s·mL−1·min | −0.4518 | 0.0044 |
ΔFO2: difference between inspiratory and expiratory O2 concentrations; Diff.: value after pulmonary rehabilitation minus the value before pulmonary rehabilitation; V’O2: oxygen uptake; V’E: minute ventilation; VT: tidal volume; fR: breathing frequency; VD/VT: physiological dead space/tidal volume ratio; O2 pulse: V’O2/heart rate; V’CO2: carbon dioxide output; V’E/V’CO2-nadir: lowest value of the ratio between minute ventilation and carbon dioxide output during exercise (see the Methods section for details); V’E–V’CO2-slope: the slope was determined by linear regression analysis of minute ventilation to carbon dioxide output obtained during exercise (see the Methods section for details); Time slope: ratio of exercise time until exhaustion to obtained ΔV’O2 (peak minus resting V’O2) during cardiopulmonary exercise testing (see the Methods section for details).
Figure 3Correlations related to exercise tolerance and ventilatory efficiency. Difference: between before and after pulmonary rehabilitation; ΔFO2: difference between inspired and expired O2 concentration; V’E: minute ventilation; V’E/V’CO2-nadir: lowest value of the ratio between minute ventilation and carbon dioxide output during exercise (see the Methods section for details); V’E–V’CO2-slope: the slope was determined by linear regression analysis of minute ventilation to carbon dioxide output observed during exercise (see the Methods section for details); V’O2: oxygen uptake. Black arrows mean the up and down differences obtained from pulmonary rehabilitation.