| Literature DB >> 31579678 |
Tanmay S Panchabhai1, Eduardo Mireles Cabodevila2, Erik P Pioro3, Xiaofeng Wang4, Xiaozhen Han4, Loutfi S Aboussouan2,3.
Abstract
BACKGROUND: The course of lung function decline in amyotrophic lateral sclerosis (ALS) and the effect of noninvasive positive-pressure ventilation (NIPPV) on that decline are uncertain. We sought to model lung function decline, determine when NIPPV is initiated along that course, and assess its impact on the course of decline.Entities:
Year: 2019 PMID: 31579678 PMCID: PMC6759589 DOI: 10.1183/23120541.00044-2019
Source DB: PubMed Journal: ERJ Open Res ISSN: 2312-0541
FIGURE 1Plot of the pattern of decline of per cent predicted forced vital capacity in patients with amyotrophic lateral sclerosis (ALS), determined from first onset of disease (time 0) in selected patients (those with a larger number of spirometric observations). The figure includes a smoothing function showing that the pattern of decline in those patients demonstrates various combinations of an early plateau, a subsequent rapid decline and a late plateau of lung function, depending on when the spirometric observations were obtained in the course of the disease. The vertical bars represent death (in c) death occurred 124 months after onset; g) 125 months; k) 145 months).
FIGURE 2Data plot of per cent predicted forced vital capacity with nonparametric regression curve and time course centred at initiation of noninvasive positive-pressure ventilation (time 0). The fit of the course of lung function decline was done with penalised thin-plate regression. The solid curve is the estimated mean function and the dashed curves are the 95% confidence bands.
FIGURE 3A bi-asymptotic four-parameter logistic model representing the course of per cent predicted forced vital capacity (FVCP) decline in patients with amyotrophic lateral sclerosis. The four parameters (b1, b2, b3, b4) allow mathematical modelling of the bi-asymptotic pattern of decline in FVCP represented in figures 1 and 2. The time course is centred at initiation of noninvasive positive-pressure ventilation (NIPPV; time 0). The parameters, b1 and b2, represent lung function and b3 and b4 represent time; b1 is the baseline lung function before onset of its decline (represented for demonstration purposes as an FVCP of 100%); b2 is the magnitude of decline to the lower asymptote (represented here as −70% for a final FVCP of 30%); b3 is the time at the midpoint between the two asymptotes (represented here at 6 months prior to NIPPV), also marking the inflection point (shown as a shaded circle on the curve); and b4 is a timescale factor (represented here as 4 months) that reflects the rapidity of decline, such that the span of decline of FVCP between time points b3+b4 and b3−b4 (8 months around the inflection point) is 46% of b2. A smaller b4 therefore reflects a faster lung function decline. Together, b3 and b4 identify key time points. In this hypothetical figure, the per cent decline relative to the total expected range of decline (b2) is 27% at time point b3−b4 (10 months prior to initiation of NIPPV in this representation), 50% at time point b3 (6 months prior to initiation of NIPPV in this representation), 73% at b3+b4 (2 months prior to initiation of NIPPV) and ≥85% at initiation of NIPPV. The corresponding values for the actual data are shown in table 3 and represented in figure 4.
Per cent total decline in forced vital capacity per cent predicted (FVCP) relative to the total range, and slope of decline at various key time points
| 0 | 74.0 | 0 | 0 | 0 | |
| 27 | 65.0 | −2.11 | −2.64 | −1.85 | |
| 50 | 57.3 | −2.69 | −3.35 | −2.35 | |
| 73 | 49.6 | −2.11 | −2.64 | −1.85 | |
| ≥85 | 45.9 | −1.43 | −1.50 | −1.17 | |
| 100 | 40.6 | 0 | 0 | 0 |
b3: time (months) to the midpoint between the two asymptotes, also representing the inflection point of the FVCP time-course curve; b4: a timescale factor (months) that reflects the rapidity of decline of forced vital capacity, such that a smaller b4 reflects a more rapid decline.
Slopes are derived from the first derivative of vital capacity with time of the following equation: FVCP = b1 + b2/(1+e((−t)/)) such that .
FIGURE 4Plot of the course of per cent predicted forced vital capacity decline in amyotrophic lateral sclerosis after resolution of individual parameters using a nonlinear mixed-model regression analysis. Includes overall patients and patients stratified by adherence to noninvasive positive-pressure ventilation. The time course is centred at initiation of noninvasive positive-pressure ventilation (time 0).
Parameter estimates for the course of decline of per cent predicted forced vital capacity from onset of disease (Model 1)
| Initial vital capacity | 100.3 (3.8) | 92.8, 107.9 | |
| Decline from initial vital capacity | −74.1 (4.6) | −83.2, −65.0 | |
| Midpoint between initial and final vital capacity (from disease onset) | 17.2 (1.5) | 14.3, 20.2 | |
| Timescale factor representing rapidity of decline | 13.3 (1.1) | 11.2, 15.4 | |
| Final vital capacity | 26.2 (2.1) | 22.1, 30.4 | |
#: p<0.001 for all parameter estimates, indicating that all four parameters contributed significantly to the per cent predicted forced vital capacity.
Parameter estimates for the course of decline of per cent predicted forced vital capacity from time of initiation of noninvasive ventilation (Model 2)
| 74.0 (1.2) | 71.1, 76.4 | 72.2 (1.5) | 69.3, 75.1 | 76.1 (1.6) | 72.8, 79.3 | 0.081 | |
| −33.4 (1.7) | −36.7, −30.1 | −30.3 (1.9) | −34.1, −26.5 | −35.8 (2.5) | −40.8, 30.7 | 0.091 | |
| −5.2 (0.5) | −6.2, −4.3 | −4.3 (0.5) | −5.3, 3.3 | −6.7 (0.9) | −8.4, −5.0 | 0.017 | |
| 3.1 (0.4) | 2.4, 3.9 | 2.3 (0.4) | 1.4, 3.1 | 3.8 (0.6) | 2.6, 5.0 | 0.036 | |
| 40.6 (2.1) | 34.7, 43.0 | 41.9 (1.1) | 39.7, 44.1 | 38.5 (2.1) | 34.4, 42.7 | 0.16 | |
b1: per cent predicted vital capacity before onset of decline of lung function; b2: magnitude of decline in predicted forced vital capacity to the lower asymptote, represented in the model as a negative number such that b1+b2 is the final per cent predicted vital capacity; b3: time (months) from initiation of noninvasive ventilation to the midpoint between the two asymptotes, also representing the inflection point of the forced vital capacity time-course curve (a negative number as the inflection occurred before initiation of noninvasive ventilation); b4: a timescale factor (months) that reflects the rapidity of decline of forced vital capacity, such that a smaller b4 reflects a more rapid decline.
#: difference between adherent and nonadherent patients; significance set at p<0.05.
¶: p<0.001 for all parameter estimates, indicating that all four parameters contributed significantly to the per cent predicted forced vital capacity.
Parameter estimates for the course of decline of per cent predicted maximum inspiratory pressure
| 58.1 (3.7) | 50.9, 65.3 | <0.001 | |
| −27.8 (4.5) | −36.6, −19.1 | <0.001 | |
| −7.8 (1.6) | −10.8, −4.7 | <0.001 | |
| 3.7 (1.2) | 1.3, 6.1 | 0.0027 |
b1: per cent predicted maximum inspiratory pressure before onset of decline of lung function; b2: magnitude of decline in predicted maximum inspiratory pressure to the lower asymptote, represented in the model as a negative number; b3: time (months) relative to initiation of noninvasive ventilation to the midpoint between the two asymptotes, also representing the inflection point of the per cent predicted maximum inspiratory pressure; b4: a timescale factor (months) that reflects the rapidity of decline of per cent predicted maximum inspiratory pressure.