Duration of lead time in screening for lung cancer

Background Screening for lung cancer has used chest radiography (CR), low dose computed tomography (LDCT) and sputum cytology (SC). Estimates of the lead time (LT), i.e., the time interval from detection of lung cancer by screening to the development of symptoms, have been derived from longitudinal studies of populations at risk, tumor doubling time (DT), the ratio between its prevalence at the first round of screening and its annual incidence during follow-up, and by probability modeling derived from the results of screening trials. Objective To review and update the estimates of LT of lung cancer. Methods A non-systematic search of the literature for estimates of LT and screening trials. Search of the reference sections of the retrieved papers for additional relevant studies. Calculation of LTs derived from these studies. Results LT since detection by CR was 0.8–1.1 years if derived from longitudinal studies; 0.6–2.1 years if derived from prevalence / incidence ratios; 0.2 years if derived from the average tumor DT; and 0.2–1.0 if derived from probability modeling. LT since detection by LDCT was 1.1–3.5 if derived from prevalence / incidence ratios; 3.9 if derived from DT; and 0.9 if derived from probability modeling. LT since detection of squamous cell cancer by SC in persons with normal CR was 1.3–1.5 if derived from prevalence/incidence ratios; and 2.1 years if derived from the DT of squamous cell cancer. Conclusions Most estimates of the LT yield values of 0.2–1.5 years for detection by CR; of 0.9–3.5 years for detection by LDCT; and about 2 years or less for detection of squamous cell cancer by SC in persons with normal CR. The heterogeneity of the screening trials and methods of derivation may account for the variability of LT estimates.


Background
Screening for lung cancer assumes that the symptomatic illness is preceded by a period of pre-symptomatic disease that is detectable by chest radiography (CR), low dose computed tomography (LDCT) and sputum cytology (SC). The time interval between detection by screening and the onset of clinical manifestations is referred to as lead time (LT). Its duration has been inferred from longitudinal studies of populations at risk, randomized trials of screening for lung cancer, tumor doubling times (DT) and statistical analyzes of the results of screening trials.
Longitudinal studies have either followed prospectively populations at risk by SC [1], or reviewed retrospectively CRs that had been performed before the clinical diagnosis of lung cancer [2]. Estimates based on screening trials have inferred the duration of LT from the ratio between the prevalence of lung cancer at the first (baseline) screening round and the annual incidence of cancer during subsequent follow-up [3]. Inferences from tumor DT assume that a single cell of 10 µm develops into a tumor by a succession of divisions at a constant DT. Therefore, one may derive the duration of LT from the tumor DT and the difference in tumor size at its detection in asymptomatic persons and in symptomatic patients [4]. Statistical analyzes have applied probability estimates on the results of screening trials. The objective of this paper is to search the literature for estimates of the LT of lung cancer and update these estimates by those derived from published screening trials by SC, CR and LDCT.

Methods
Medline and Old Medline [5]

Longitudinal studies
Prospective serial SC examinations of uranium miners between 1957 and 1970 found sequential abnormalities that consisted of mild atypia followed by moderate atypia, marked atypia and carcinoma in situ [1]. On the average, 2.5 years after detection of carcinoma in situ cells in the sputum, the patients developed invasive carcinoma. 'Invasive carcinoma' was reported to have been diagnosed "cytologically, clinically or at autopsy" [1]; however, the proportion of invasive cancers, which were also radiographically or clinically evident, was not reported.
A 1964 retrospective study of patients with lung cancer, in whom CRs had been made before the definitive diagnosis, revealed an interval between the first CR signs and the first symptoms of 0.8-1 year [2]. Another retrospective study inferred the duration of the LT from the intervals between CR examinations of patients who adhered to the screening protocol (6 months), and the patients who did not (19.5 months). The 13.5 months (= 1.1 years) difference was viewed as an approximation of the interval between CR and clinical detection of lung cancer [6].

Prevalence/annual incidence ratios
Estimates of LTs derived from prevalence/annual incidence ratios in seven randomized trials of screening by CR ranged between 0.6 and 2.1 years (Table 1). Those derived from controlled randomized trials of screening by LDCT were between 1.1 and 3.5 years (Table 2). Table 3 summarizes LTs derived from randomized trials of screening after selection of cancers detected by SC alone in patients with normal CR. Although comprising only 25% to 40% of all lung cancers, squamous cell lung cancer is practically the only cell type detected by SC in individuals with normal CR. Squamous cell cancer commonly originates centrally and grows as a thin sheet replacing the mucosa, thus escaping radiographic detection while desquamating malignant cells into the sputum [26]. The prevalence / annual incidence ratios of squamous cell lung cancer detected by SC screening only, suggested a LT between cytological and clinical detection of squamous cell lung cancer of 1.2 to 1.8 years.

Tumor doubling time
The commonly used model of tumor growth kinetics assumes an exponential expansion from a single cell at a constant DT that may be estimated by the increase in tumor size on serial CRs [4]. With each doubling of volume, the tumor increases its diameter by approximately 1.26 (the cube root of 2). The average diameter of lung cancer at clinical diagnosis is 33 mm (after 35 doublings) [4]; that at detection by LDCT in asymptomatic persons is 16 mm (after 32 doublings); and that at detection by CR is 30 mm (after 34.5 doublings) [27]. The size of radiologically occult lung cancer detected by SC, was estimated by applying the equation of Schwartz [28]: (a = Axial length in mm and b = Approximate average maximal depth in mm). on the data reported by Woolner et al. [29] in 68 patients with occult lung cancer, and calculated the average volume of their tumors as 135 cmm. For a round tumor of the same volume, this implies a diameter of about 6 mm (after 27.5 doublings). According to this model, one may derive the duration of LT by multiplying the DT of the tumor by the number of doublings needed to reach the average diameter at clinical detection: 7.5 after detection by SC in persons with normal CR; 3 after detection by LDCT; and 0.5 after detection by CR.
The DTs of lung cancer were retrieved from the 2008 review of the literature by Detterbeck and Gibson [27]. They found that clinically detected lung cancers had an average DT of 136 days; lung cancers detected by screening by CR had average DT of 150 days; and lung cancers detected by screening by LDCT had average DT of 480 days. The longer DTs of screen detected cancers is consistent with length bias: screening is more likely to detect selectively slow growing cancers. For squamous Tumor volume = π/6 * ab 2   Therefore, LT of lung cancer would be about 3.9 years after detection by LDCT (three doublings, DT 480 days), 0.2 years after detection by CR (half a doubling, DT 150 days) and 2.1 years after detection by SC in persons with normal CR (7.5 doublings, DT 104 days).

Probability modeling derived from the results of screening trials
A number of statistical methods have been proposed to derive LT from randomized screening trials for cancer by focusing on screen detected cases and by ignoring interval cases (with LT = 0) [30]. In 2018, Liu et al. [30] used Bayesian posterior samples of key parameters of the NLST-LDCT data to carry out simulations of LT by age and duration of screening intervals. They found that the probability of no-early detection (interval cases) increased with longer screening intervals. Thus, a male heavy smoker had 12% chance of no-early detection with annual screening, and 36% chance with bi-annual screening. The mean LT decreased from 0.9 (standard error-0.7) years with annual screening, to 0.6 (standard error-0.7) years with bi-annual screening.

Discussion
Derived LTs have fluctuated between 0.2 and 2.1 years since detection by CR 0.9 to 3.9 years since detection by LDCT; and 1.3 and 2.1 years since detection by SC in persons with normal chest x-ray (squamous cell cancer).
The modes of LT and its range of probability density curves derived by probability modeling that includes interval cases were 0.24 (0-2.0) years since detection by CR [31], and 0.9 (0-3.0) years since detection by LDCT [30]. Table 4 summarizes the main findings of this survey.
The main limitations of this study are the methodological differences and possible erroneous assumptions of the approaches to the estimation of LT. First, estimates of LT derived from screening trials may have been biased by the heterogeneity in their study populations (see footnotes of Tables 1 and 2). Some trials included men only, while others included men and women; some trials included smokers only, while others included current, former or never smokers. Some trials conducted a single round of follow up examinations, in addition to the baseline round, while other performed several annual examinations. There was also a marked heterogeneity of the histology of the detected lung cancers (data not shown), and histologically different cancers have different LTs.
Second, selection bias may have affected the findings by Saccomanno et al. [1]. As noted by the authors, the restriction of their report to patients who developed invasive carcinoma during the period of observation, may have selected those with a shorter interval between carcinoma in situ to invasive carcinoma. Therefore, the observed 2.5-year interval may have underestimated the time interval between carcinoma in situ and invasive squamous cell cancer.
Third, the estimates of LTs may have been biased by erroneous assumptions when lung cancer becomes radiologically detectable. These assumptions are probably valid for extra-bronchial coin lesions, but not for endobronchial squamous cell cancers that become radiographically evident at a much larger size. Therefore, although LDCT is considered to be the most accurate mass screening modality, it is uncertain whether addition of SC can improve the sensitivity of screening by detecting squamous cell lung cancer before LDCT. It is also questionable whether the equation by Schwartz for extra-bronchial lesions [28] may be applied for occult lung cancer.
A fourth limitation of this study is the uncertainty regarding tumor growth kinetics. On the one hand, a 2018 study that evaluated growth patterns of untreated lung cancer confirmed that the exponential model explains the development of both sub-solid and solid lung cancers [32]. On the other hand, the proliferation curves of almost all animal tumors may be better described by a Gomperzian function [33] that predicts progressively longer DTs as the tumor gets larger, and thereby, a shorter period of preclinical growth than the exponential model, and longer survival after diagnosis.
Both models assume that, if untreated, all cases detected by screening would eventually surface clinically. This assumption is supported by the finding that two thirds of the lung cancer patients detected by SC only [34], and all clinical Stage I lung cancers detected by CR [35] died from lung cancer within 10 years. On the other hand, the estimated average DT of 480 days of cancers detected by screening by LCDT [27] predicts a median survival for lung cancer patients of more than 10 years, rather than the less than a year observed in patents with clinical lung cancer. Therefore, it is possible that LDCT detects mainly slow-growing cancers or tumors, which may not progress to advanced disease [36].
Future research may first, consist of systematic reviews of the literature for screening trials for lung cancer. However, it seems that their heterogeneity with regard to study populations, control populations, and time intervals between screening preclude meta-analysis. Second, SC cytology may be considered again as a screening test, in addition to LDCT. Finally, an effort should be made to resolve the inconsistency between the observed survival of patients with lung cancer detected by LDCT and their calculated LT on the basis of their doubling time.