Study population
COVID–19 was confirmed by either 1) genetic sequencing showed highly homogenous sequence with the known novel coronavirus; or 2) novel coronavirus nucleic acid was positive as confirmed by real time (RT)-PCT in respiratory or blood specimen [7,15]. All patients with respiratory distress with one of the following criteria were eligible: respiratory rate > 30/min, or oxygen saturation ≤ 93%, or PaO2/FiO2 ratio ≤ 300 mmHg. We screened medical records on admission and identified patients with pulse oximetry < 92% on room air and requires oxygen therapy (OT). Exclusion criteria included: 1) patients with chronic obstructive pulmonary disease with baseline pulse oximetry < 92%; 2) pregnant women; 3) subjects younger than 18 years old; 4) patients with do-not-resuscitate order; and 5) patients with comorbidities such as severe burn, recent major stroke with paralysis, terminally ill malignancy, immuodeficiency and dialysis-dependent renal failure.
Clinical variables
Demographics such as age and sex were recorded. Comorbidities of respiratory system, cardiovascular system and smoking history were extracted from the medical records. All laboratory variables were recorded in a longitudinal manner. These included serum lactate, arterial partial oxygen pressure (PaO2), arterial partial pressure of carbon dioxide (PaCO2), base excess (BE), pH, C-reactive protein (CRP), Lymphocyte count, and fraction of inspired oxygenation (FiO2) were extracted.
Respiratory support included OT, NIV, HFNC, IMV and ECMO. The transition time from one type to another was recorded to create a number of time intervals at which a subject was on a specific type of respiratory support. Laboratory variables were then matched to each time interval by their respective measurement time. This created a dataset of counting process that included the start time and end time for an interval.
Clinical outcomes included vital status at hospital discharge, length of stay in the hospital were recorded.
Calculation of cumulative oxygen deficit (COD)
For patients with IMV, COD was calculated before the use of IMV. Figure 1 is a sample patient used to illustrate the calculation of COD:
where xi is the value of PaO2 measured in mmHg, and ti is the time at which xi is measured. The reference PaO2 was 80 mmHg because the oxygen saturation will not continue to rise above this reference value [16]. Thus, the COD accounted for both magnitude and duration of hypoxemia before IMV. We hypothesized that the longer a patient was on hypoxemia before IMV, the worse of the survival outcome. On the other hand, the outcome would be not so bad if hypoxemia was immediately corrected with IMV even if the magnitude of hypoxemia is large.
Statistical analysis
Demographic and laboratory data were compared between patients with and without IMV. Normal data were expressed as mean and standard deviation and were compared between groups with t test. Skewed (non-normal) data were expressed as median and interquartile range (IQR) and were compared with rank-sum test. Categorial variables were expressed as the number and percentage and were compared using Chi-square or Fisher’s exact test if appropriate [17].
Alluvium plot was employed to visualize how patients transitioned from different types of respiratory support. In patients with IMV, we created multivariable Cox regression model to explore the independent predictors of survival outcome. The COD was categorized into four categories at cutoff values of 0, 30 and 50 mmHg∙day. A COD value of 30 mmHg∙day is equivalent to 60 mmHg for 1.5 days, and a negative value indicates no oxygen deficit. Other variables such as time from admission to IMV, PaO2, PaCO2, Lactate, lymphocyte count, CRP and BE were adjusted for in the model. The predictive performance of COD was compared with PaO2 before intubation and the time from admission to intubation. We reported time-dependent AUC for the discriminations from day 7 to 28 after hospital admission [18].
Time-dependent propensity score matching was used to account for the differences between patients with and without IMV during hospitalization. We divided the maximum follow-up time into 4 strata from 1 to 4. Propensity score was calculated as the probability of receiving IMV at a certain time stratum. The probability was the cumulative hazard estimated from a Cox model regressing the use of IMV on predictors. The matching process started at stratum 1 all the way to stratum 4. A control patient who had been matched would be deleted from latter matching. The control group was defined as those who had no yet received IMV on and before a stratum. Thus, a patient who received IMV in stratum 4 could be a control and be matched to an IMV patient in stratum 1. Time-dependent propensity score matching was employed to account for immortal time bias that a patient who lived longer can have more chances to receive IMV [19–21].
All statistical analyses were performed using RStudio (Version 1.1.463). Two-tailed p value less than 0.05 was considered as significant.