Development and validation of prognostic nomogram based on log odds of positive lymph nodes for patients with gastric signet ring cell carcinoma.

OBJECTIVE: Our aims were to establish novel nomogram models, which directly targeted patients with signet ring cell carcinoma (SRC), for individualized prediction of overall survival (OS) rate and cancer-specific survival (CSS).
METHODS: We selected 1,365 SRC patients diagnosed from 2010 to 2015 from Surveillance, Epidemiology and End Results (SEER) database, and then randomly partitioned them into a training cohort and a validation cohort. Independent predicted indicators, which were identified by using univariate testing and multivariate analyses, were used to construct our prognostic nomogram models. Three methods, Harrell concordance index (C-index), receiver operating characteristics (ROC) curve and calibration curve, were used to assess the ability of discrimination and predictive accuracy. Integrated discrimination improvement (IDI), net reclassification improvement (NRI) and decision curve analysis (DCA) were used to assess clinical utility of our nomogram models.
RESULTS: Six independent predicted indicators, age, race, log odds of positive lymph nodes (LODDS), T stage, M stage and tumor size, were associated with OS rate. Nevertheless, only five independent predicted indicators were associated with CSS except race. The developed nomograms based on those independent predicted factors showed reliable discrimination. C-index of our nomogram for OS and CSS was 0.760 and 0.763, which were higher than American Joint Committee on Cancer (AJCC) 8th edition tumor-node-metastasis (TNM) staging system (0.734 and 0.741, respectively). C-index of validation cohort for OS was 0.757 and for CSS was 0.773. The calibration curves also performed good consistency. IDI, NRI and DCA showed the nomograms for both OS and CSS had a comparable clinical utility than the TNM staging system.
CONCLUSIONS: The novel nomogram models based on LODDS provided satisfying predictive ability of SRC both in OS and CSS than AJCC 8th edition TNM staging system alone.

Introduction

Gastric cancer (GC) is a severe threat to human health, ranking fifth for most commonly diagnosed cancers and third for cancer mortality worldwide. There were over one million newly-diagnosed cases and an estimated 783,000 deaths in 2018 (1). Incidence rates are significantly rising in East Asia, whereas a generally low incidence was observed in Northern America and North Europe (1). Although the morbidity of GC has declined in recent years, some western studies demonstrated the morbidity of signet ring cell (SRC) carcinoma was still high (2). According to the definition of World Health Organization (WHO), SRC was characterized as isolated or small groups of malignant non-cohesive cells (3). In other classifications, SRC was defined as an undifferentiated carcinoma by the Japanese Gastric Cancer Association and as a diffuse type by Lauren (4).

The prognosis of SRC is still controversial in the literature. Many studies indicated that SRC patients had a relatively better prognosis for early stage as compared to other histological types, but a worse prognosis in advanced stage (5-9). However, Kim et al. reported that SRC had no significant effect on prognosis (10). Given the conflicting conclusion of SRC, we considered that it is necessary for SRC patients to establish a more reliable, specific and precise clinical model predicting their actual clinical outcome rather than a common one for all GC patients.

The metastasis of regional lymph nodes is an essential indicator in predicting gastric cancer prognosis (11). Based on the absolute amount of lymph node metastasis, the American Joint Committee on Cancer (AJCC) tumor-node-metastasis (TNM) staging system is widely used in guiding clinical management and predicting patient survival. Nevertheless, this system is susceptible to stage migration, particularly when a small quantity of lymph nodes are dissected, which may lead clinical physicians to underestimate severity of the disease (12). Recent evidence indicates that positive lymph node ratio (LNR) and the log odds of positive lymph nodes (LODDS) could provide a more satisfactory predictive ability compared with AJCC N stage in assessing postoperative survival rate of gastric cancer patients (13-16).

Therefore, our study sought to build a SRC-specific nomogram model based on LODDS predicting overall survival (OS) rate and cancer-specific survival (CSS) by using the Surveillance, Epidemiology, and End Results (SEER) database.

Materials and methods

Ethics statements

All patient data extracted from the SEER database ( http://www.seer.cancer.gov), anonymized and publicly available, didn`t contain any identifier. For this reason, our study was approved by the Ethics Committee of Qingdao Municipal Hospital of Qingdao University (Shandong, China).

Patient selection

In this research, clinical data were obtained from SEER database by SEER*Stat software (Version 8.3.8; www.seer.cancer.gov/seerstat; Surveillance Research Program, National Cancer Institute, USA). The current SEER database was consisted of 18 population-based cancer registries, covering up to 28% of the total American population. Patients with SRC gastric carcinoma (third edition of the International Classification Disease for Oncology, histology code: 8490/3) were included. Other inclusion criteria were shown as described below. Patients diagnosed in 2010−2015, with only one primary tumor lesion, complete TNM stage information, operation and complete survival data were enrolled into the study. Patients with missing information in grade, race, tumor size or SEER cause-specific death classification were excluded. To minimize confounding factors, those patients with less than 1 month survival period were excluded, which might die from perioperative complications rather than tumor progression (17,18). Finally, 1,365 patients were included and then assigned to the training cohort and the validation cohort, by using a random sampling method. The detailed screening process for SRC patients is shown in . We obtained approval to access the SEER of the National Cancer Institute in the United States using the reference number 12092-Nov2019.

Flow diagram of SRC patients from SEER database. SRC, signet ring cell; TNM, tumor-node-metastasis; SEER, surveillance, epidemiology and end results.

Prognostic variables

We collected variables of patients including age, grade, race, sex, tumor site, tumor size, AJCC TNM stage, the total amount of lymph nodes retrieved, the amount of metastatic lymph nodes, cause-specific death classification, survival time and survival status. All patients were restaged according to the AJCC criteria as described in AJCC 8th edition staging manual. LNR was defined as a ratio of the amount of metastatic lymph nodes to total amount of lymph nodes retrieved. The LODDS was formulated by loge ([0.5+ the amount of metastatic lymph nodes]/[0.5 + the amount of negative lymph nodes]) (13).

The first endpoint was OS which was calculated from the date of diagnosis to the date of death from any cause, the second endpoint was CSS which was calculated from the date of diagnosis to the date of death of cancer. The patients were divided into three groups according to their age, the young age group (<45 years), the middle age group (45−59 years), the old age group (≥60 years). The optimal cut-off value of LNR and tumor size was calculated by using X-tile software (Version 3.6.1, Yale University School of Medicine, USA) (19) (). Based on the optimal cut-off value, tumor size was divided into <3.5 cm, 3.5−6.8 cm and >6.8 cm groups. And LNR was divided into three subgroups, namely LNR1 (0−0.11), LNR2 (0.11−0.57) and LNR3 (0.57−1). The LODDS was divided into four categories: LODDS1 (LODDS≤−2.5), LODDS2 (−2.50.9) ( 13).

Graphs show optimal cut-off values of tumor size and LNR via X-tile analysis. Histograms (A,C) and Kaplan-Meier survival curves (B,D) were conducted according to optimal cutoff values. LNR, lymph node ratio.

Statistical analysis

Survival analysis was performed using Kaplan-Meier method and log-rank test while comparison of categorical variables was performed by using Chi-square test. Univariate and multivariate statistical tests were used to assess the prognostic value of variables and filter out some potential risk indicators of SRC patients. The comparison of discrimination and predictive performance among three lymph node systems, LODDS, LNR and N stage, was evaluated by the Harrell concordance index (C-Index) and Akaike information criterion (AIC). Lymph node staging system with minimization of AIC was the best-fit model. The area under the curve (AUC) of the receiver operating characteristic (ROC) curve was also used to evaluate the prognostic accuracy of three lymph node staging systems. The better lymph node staging scheme was used to construct nomogram. The discrimination of our nomogram model was quantified by C-index and AUC of ROC curve. Then the calibration was evaluated graphically by plotting the relationship between the predicted probabilities and actual probabilities for each outcome. Additionally, using integrated discrimination improvement (IDI) and net reclassification improvement (NRI), we assessed net benefit of our nomogram. And the clinical utility was evaluated by using decision curve analysis (DCA). All statistical analyses were conducted using R statistical software (Version 4.0.0; R Foundation for Statistical Computing, Vienna, Austria). Variables with P<0.05 were taken into consideration as significant. While, variables with P<0.2 in univariate testing were selected as candidate variables and were included in multivariate analysis.

Results

Clinicopathological characteristics of patients

For this research, 1,365 patients diagnosed with SRC between 2010 and 2015 were included and randomly partitioned into the training cohort (n=687; 50.3%) and the validation cohort (n=678; 49.7%). Detailed descriptive statistics are shown in . No statistical difference was found between the two groups. Most patients were white (n=886; 64.9%) and male (n=697; 51.1%). Over half of patients (52.4%) were at the old age group. Meanwhile, 522 patients (38.2%) were with a tumor size <3.5 cm. The main grade was III (94.3%) and 1,225 patients (89.7%) were in M0 stage. Moreover, 610 patients (44.7%) were in the LNR1 group and 471 patients (34.5%) were in the LODDS1 group. The gastric antrum (including pylorus) was the most common site for SRC (33.4%). The median follow-up time for all patients was 28 [interquartile range (IQR), 13−53] months. And in training cohort, the median follow-up time was 27 (IQR, 13−54) months and in validation cohort it was 29 (IQR, 13−53) months.

Prognostic factors of OS and CSS

By using univariate testing, nine parameters, age, race, T stage, M stage, N stage, LODDS, LNR, tumor size and tumor site were associated with OS and CSS (P<0.2,). In comparison with three lymph node systems, AIC of predicted OS rate for N stage, LNR and LODDS were 4,524.74, 4,512.35 and 4,498.97. And AIC of predicted CSS for N stage, LNR and LODDS were 4,155.07, 4,144.60 and 4,135.16.

For predicting OS rate, C-index of LODDS was 0.745, which was enhanced than LNR and N stage (0.737; 0.734, respectively). The AUCs of LODDS was much better than N stage in predicting 3-year OS rate (0.827 vs. 0.815, P=0.022), but found no marked difference in 1- and 5-year OS rate (0.744 vs. 0.729, P=0.063; 0.844 vs. 0.839, P=0.445, respectively). Compared LODDS with LNR, AUCs for 1-year OS rate had significant difference (0.744 vs. 0.728, P=0.007), but no significant difference was found in 3- and 5-year OS rate (0.827 vs. 0.820, P=0.088; 0.844 vs. 0.835, P=0.100, respectively). The AUCs of LNR and N stage for 1-, 3- and 5-year OS rate showed no statistical difference (P=0.891; P=0.378; P=0.479, respectively) ().

And for predicting CSS, the C-index of LODDS was 0.751, which was also enhanced compared with LNR and N stage (0.745; 0.741, respectively). The AUC for 3-year of LODDS was significantly better than N stage (0.832 vs. 0.820, P=0.035), but no marked difference was found in 1- and 5-year (0.749 vs. 0.738, P=0.180; 0.849 vs. 0.845, P=0.534). In addition, the AUCs for 1-, 3- and 5-year CSS between LODDS and LNR found no statistical difference (P=0.071; P=0.220; P=0.245, respectively). Meanwhile, the AUCs of LNR and N stage for 1-, 3- and 5-year had no statistical difference (0.738 vs. 0.738, P=0.927; 0.826 vs. 0.820, P=0.304; 0.842 vs. 0.845, P=0.694, respectively) (). To compare the C-index, AIC, and AUC of three methods (,), we eventually incorporated LODDS into the next multivariate analysis.

Age is a vital prognostic variable in clinical practice. Although age failed to reach statistical significance (P>0.2) in univariate testing, we decided to incorporate age into the multivariate analysis of CSS. Six parameters, age, race, LODDS, T stage, M stage and tumor size, were defined as independent prognostic factors of OS by multivariate Cox regression analysis (P<0.05,). While, only five parameters, age, LODDS, T stage, M stage and tumor size, were significantly correlated with CSS in multivariate analysis (P<0.05,).

Construction and validation of prognostic prediction nomogram

Those prognostic variables, which were identified independent with each other in multivariate analysis, were used to construct the prognostic prediction nomogram models. Our OS and CSS nomograms are shown in For predicting OS rate, the C-index of nomogram in the training cohort was 0.760 [95% confidence interval (95% CI), 0.735−0.785] and in the validation cohort it was 0.757 (95% CI, 0.732−0.782), which showed higher statistic power than AJCC TNM staging [0.734 (95% CI, 0.709−0.760), P<0.001; 0.741 (95% CI, 0.716−0.766), P=0.004]. And for CSS prediction, the C-index of nomogram in the training cohort and the validation cohort was 0.763 (95% CI, 0.738−0.789) and 0.773 (95% CI, 0.748−0.798), which was higher than that of AJCC TNM staging [0.741 (95% CI, 0.716−0.767), P<0.001; 0.757 (95% CI, 0.732−0.782), P=0.006, respectively]. These results revealed that our nomogram demonstrated a better discrimination and ability of prognostic predictive over the 8th edition AJCC TNM staging. The similarities between the actual observation and predicted survival rates of nomogram were validated by plotting a calibration curve of training cohort and validation cohort of OS and CSS (). Furthermore, the predictive performance of novel nomogram models was calculated by AUC of ROC curve (). In the training cohort, the AUC values were 0.768, 0.841 and 0.861 for 1-, 3- and 5-year OS rates, which revealed higher statistic power than AJCC TNM staging (0.729, P<0.001; 0.815, P=0.002; 0.839, P=0.024, respectively). And AUC values for 1-, 3- and 5-year CSS rates were 0.771, 0.845 and 0.863 (,), which were higher than AJCC TNM staging (0.738, P=0.003; 0.820, P=0.001; 0.845, P=0.056, respectively). In the validation cohort, the AUC values were 0.780, 0.844 and 0.870 for 1-, 3- and 5-year OS rates, which observed no significant difference with AJCC TNM staging (0.762, P=0.058; 0.831, P=0.078; 0.856, P=0.111, respectively). For the CSS prediction, the AUC values were 0.788, 0.860 and 0.890, which showed a slight preponderance over AJCC TNM staging (0.776, P=0.193; 0.846, P=0.039; 0.877, P=0.095, respectively) (,).

Nomogram for predicting OS rate (A) and CSS rate (B) of patients with SRC. LODDS, log odds of positive lymph nodes; OS, overall survival; CSS, cancer-specific survival; SRC, signet ring cell.

Calibration plots of OS (A,C) and CSS (B,D) in training cohort and in validation cohort. OS, overall survival; CSS, cancer-specific survival.

ROCs curve for nomograms. ROC curve of OS nomogram (A,C) and CSS nomogram (B,D) in training cohort and in validation cohort. ROC, receiver operating characteristic; OS, overall survival; CSS, cancer-specific survival; AUC, area under the curve.

Clinical value of nomogram

In the decision curve analysis, the novel nomograms showed more net benefit across the range of decision threshold probabilities than the AJCC 8th edition TNM stage (). Above all, patients can benefit more from the nomograms in predicting individual survival outcomes. In the IDI analyses, our new nomograms based on LODDS have a superior performance than TNM staging system. IDI of OS nomogram at one year, three years, and five years was as follow: 0.061 (P<0.001), 0.052 (P<0.001) and 0.033 (P=0.012), respectively. While, for CSS nomogram, IDI at one year, three years, and five years was as follow: 0.051 (P<0.001), 0.049 (P=0.002) and 0.026 (P=0.042), respectively. The NRI values for 1-, 3-, and 5-year OS were 0.127 (95% CI, 0.033−0.290), 0.123 (95% CI, 0.010−0.185), and −0.005 (95% CI, −0.068−0.287), respectively. And for CSS, the NRI values were 0.111 (95% CI, −0.021−0.215), 0.076 (95% CI, −0.017−0.190) and 0.023 (95% CI, −0.077−0.219), respectively.

Decision curve analyses of nomogram and AJCC 8th edition TNM staging system for 1-year (A), 3-year (B), and 5-year (C) OS and 1-year (D), 3-year (E), and 5-year (F) CSS. X-axis represents threshold probabilities, and Y-axis measures net benefit. The horizontal line along X-axis assumes that overall death occurred in no patients, whereas solid gray line assumes that all patients will have overall death at a specific threshold probability. Red dashed line represents nomogram. Black dashed line represents TNM staging system. AJCC, American Joint Committee on Cancer; TNM, tumor-node-metastasis; OS, overall survival; CSS, cancer-specific survival.

Discussion

In this study, we extracted data of SRC patients from the public SEER database to construct and validate prognostic nomogram model including LODDS for predicting OS rate and CSS. Six prognostic variables, age, race, LODDS, T stage, M stage and tumor size were included in OS nomogram. While CSS nomogram included age, LODDS, T stage, M stage and tumor size. The discrimination of our nomogram was superior to over the AJCC 8th edition TNM staging system alone both in OS and CSS. The calibrations of nomogram showed considerable performance, which were verified both internally and externally. Our nomograms based on LODDS have a more accurate and convenient prognostic evaluation. IDI and NRI values revealed positive improvements in predicting 1-year and 3-year survival probability, although there was no strong improvement in predicting 5-year survival probability between the two models. Furthermore, DCA proved that our novel nomogram models obtained more clinical net benefit than the AJCC staging system across a range of threshold probability. These results showed our nomograms would be helpful to develop appropriate therapeutic strategies for more efficient treatment of SRC patients.

The reason why this study focused on SRC nomagram is that the prognosis of SRC remains controversial. The survival of SRC patients was relatively better than other histological types in early stage, which was mainly reported in Asian countries (4,9,20,21). Probably because the tumor of SRC is more frequently observed with superficial spreading and depressed lesions and shows a lower rate of lymph node metastasis (10,22). However, a French study did not demonstrate drastic difference (23). With regard to advanced gastric cancer, many researches from Asia reported that SRC was associated with poor OS rate (9,10,24). Meanwhile, Jiang et al. observed no significant difference of prognosis between SRC patients and other histological types in advanced gastric cancer (25). According to a large cohort research from the United States, SRC was not a prognostic indicator after the adjustment for the tumor stage (26). Overall, developing a unique nomogram that directly targets SRC patients, rather than general gastric cancer patients, could have a greater clinical value. The novel nomogram models have a high potential in individualized treatments and disease management.

For better applicability by other institutions or regions, it is crucial to reduce the influence of difference in pathological examination and surgical methods on prognosis. Thus, we only selected those patients diagnosed with SRC after 2010. Previous studies have revealed that examining more than fifteen lymph nodes could improve the accuracy of predicting prognosis in gastric cancer (27). And a large multicenter study from China demonstrated retrieval of more than 30 lymph nodes could be helpful for clinicians to more accurately evaluate the prognosis (28). Also, due to the effect of stage migration, the increased survival rate was shown in many studies as the quantity of examined lymph nodes increased (29,30). The AJCC staging system recommended that at least sixteen lymph nodes were assessed for more accurate staging, with low risk for stage migration and better survival (31). In this study, nearly 40% of patients failed to reach sixteen or more lymph nodes examination, the median amount of lymph node dissections was 18 (IQR, 12−27). This result represented that part of patients failed to receive adequate lymph node dissection. Inadequate lymph node dissection will inevitably affect evaluation of actual amount of lymph node metastases, and then affect the reliability of N stage, which also means that AJCC 8th version was still insufficient in clinical practice.

To reduce the effect of stage migration, we adopted LNR and LODDS which were proposed to predict the prognosis more effectively and improve the description of lymph node status. The number of studies had revealed that the LODDS staging system may better stratify patient survival than the AJCC lymph node staging system (13-16,32), which was validated in this research. Additionally, we compared the predictive power of LNR, LODDS and N stage in 8th edition of the AJCC. The results showed that LODDS was found as a more satisfying prognostic indicator for predicting OS and CSS by comparing C-index, AUC and AIC of three lymph nodes staging systems (,). By using the multivariate analysis, our research identified LODDS was an independent prognostic determinant of affecting prognosis of SRC patients. In addition, LODDS was a superior node staging scheme than AJCC N stage and LNR in theory. Furthermore, not only the absolute quantity of positive lymph nodes but also the amount of negative lymph nodes was taken into consideration on LODDS. So it has a better discriminatory power especially in patients with no lymph node involvement or with all lymph node involvement (13-15). All above, LODDS has a broad application prospect in clinical practice.

Some other independent prognostic indicators from routine clinical practice were consisted in our nomograms. Age has been confirmed as a vital prognostic variable in previous studies (33). In this research, our results confirmed that age was a significantly independent poor prognostic factors through multivariate analysis. The middle age group was at greater risk over the young age group in OS rate. Moreover, the old age group had the highest risk both in OS and CSS. As is shown in our research, the old age group had a significantly different prognosis with the young age group. Thus, the influence of age should not however be underestimated and it plays an important role in clinical treatment decision making.

Our findings indicate that tumor size is also of great value in predicting prognosis. On the basis of our results, patients in group of tumor size of 3.5−6.8 cm was at a higher risk than those in group of tumor size <3.5 cm both in OS rate and CSS. Moreover, group of tumor size >6.8 cm indicated a significantly worse prognosis. Previously, Zhouet al. reported that SRC patients with tumor size ≥4.9 cm usually had a poor prognosis (34). Large-size group was more prone to invasive growth, metastasis of lymph node, and distant metastasis characterized by peritoneal dissemination compared with small-size group, all of which were associated with a worse prognosis (34-36). Notably, our research observed patients with tumor size >6.8 cm were significantly associated with poor prognosis, which was identified as an independent prognostic factor. The effects of tumor size on SRC and its intrinsic features largely remain unexplored. It could be insufficient to clarify its clinical value and prognosis by using simple cut-off points of tumor size =5 cm.

Thus, on the basis of the SEER database, we established nomograms based on the LODDS system to predict OS rate and CSS of SRC patients. Our nomograms displayed higher accuracy and comparatively better prognostic discrimination than the AJCC 8th edition TNM staging. The validation cohort demonstrated a satisfying ability of prognosis of the nomograms.

Although our nomograms have good accuracy and discrimination, several limitations also deserve to be mentioned. Though SEER is a huge population-based database, vascular infiltration, perineural invasion and surgical details (the extent of lymphadenectomy, D1, D2 or D2+) are not available. Meanwhile validation of our nomogram was only performed in SEER database. Verification of other large sample size and multi-center studies was required to assess the accuracy of this model. Future well-designed studies could improve the nomogram by incorporating these factors based on their predictive power.

Conclusions

Our results identified LODDS was an independent prognostic indicator for SRC patients. A large population-based study from SEER was used to build a novel prognostic nomogram predicting OS rate and CSS of SRC patients after surgical resection. Our nomograms based on LODDS have a more accurate and convenient prognostic evaluation than the AJCC 8th edition staging system alone. And it can help clinicians formulate suitable individual treatments and conduct personalized prognostic evaluation.

Acknowledgements

None.

Footnote

Conflicts of Interest: The authors have no conflicts of interest to declare.

1

Demographic and clinicopathological characteristics of patients

Variables	n (%)			P
	All patients	Training cohort	Validation cohort
NOS, not otherwise specified; LNR, lymph node rate; LODDS, log odds of positive lymph nodes.
Total	1,365 (100)	687 (50.3)	678 (49.7)
Sex				0.169
Female	668 (48.9)	323 (47.0)	345 (50.9)
Male	697 (51.1)	364 (53.0)	333 (49.1)
Age (year)				0.395
<45	192 (14.1)	88 (12.8)	104 (15.3)
45−59	458 (33.6)	232 (33.8)	226 (33.3)
≥60	715 (52.4)	367 (53.4)	348 (51.3)
Race				0.943
Black	165 (12.1)	81 (11.8)	84 (12.4)
Other	314 (23.0)	159 (23.1)	155 (22.9)
White	886 (64.9)	447 (65.1)	439 (64.7)
Grade				0.076
I	1 (0.1)	1 (0.1)	0 (0)
II	36 (2.6)	21 (3.1)	15 (2.2)
III	1,287 (94.3)	638 (92.9)	649 (95.7)
IV	41 (3.0)	27 (3.9)	14 (2.1)
Size (cm)				0.195
<3.5	522 (38.2)	247 (36.0)	275 (40.6)
3.5−6.8	492 (36.0)	260 (37.8)	232 (34.2)
>6.8	351 (25.7)	180 (26.2)	171 (25.2)
Stage				0.292
I	317 (23.2)	149 (21.7)	168 (24.8)
II	321 (23.5)	155 (22.6)	166 (24.5)
III	587 (43.0)	307 (44.7)	280 (41.3)
IV	140 (10.3)	76 (11.1)	64 (9.4)
T stage				0.224
T1	269 (19.7)	129 (18.8)	140 (20.6)
T2	155 (11.4)	80 (11.6)	75 (11.1)
T3	449 (32.9)	226 (32.9)	223 (32.9)
T4a	395 (28.9)	212 (30.9)	183 (27.0)
T4b	97 (7.1)	40 (5.8)	57 (8.4)
N stage				0.069
N0	472 (34.6)	216 (31.4)	256 (37.8)
N1	208 (15.2)	112 (16.3)	96 (14.2)
N2	233 (17.1)	115 (16.7)	118 (17.4)
N3a	284 (20.8)	159 (23.1)	125 (18.4)
N3b	168 (12.3)	85 (12.4)	83 (12.2)
M stage				0.369
M0	1,225 (89.7)	611 (88.9)	614 (90.6)
M1	140 (10.3)	76 (11.1)	64 (9.4)
Site				0.498
C16.0-cardia, NOS	178 (13.0)	90 (13.1)	88 (13.0)
C16.1-fundus of stomach	36 (2.6)	17 (2.5)	19 (2.8)
C16.2-body of stomach	160 (11.7)	84 (12.2)	76 (11.2)
Gastric antrum (including pylorus)	456 (33.4)	219 (31.9)	237 (35.0)
C16.5-lesser curvature of stomach, NOS	189 (13.8)	105 (15.3)	84 (12.4)
C16.6-greater curvature of stomach, NOS	76 (5.6)	43 (6.3)	33 (4.9)
Stomach, NOS	270 (19.8)	129 (18.8)	141 (20.8)
LNR				0.400
LNR1	610 (44.7)	295 (42.9)	315 (46.5)
LNR2	436 (31.9)	224 (32.6)	212 (31.3)
LNR3	319 (23.4)	168 (24.5)	151 (22.3)
LODDS				0.447
LODDS1	471 (34.5)	223 (32.5)	248 (36.6)
LODDS2	318 (23.3)	163 (23.7)	155 (22.9)
LODDS3	364 (26.7)	191 (27.8)	173 (25.5)
LODDS4	212 (15.5)	110 (16.0)	102 (15.0)

2

Univariate and multivariate analysis of OS in training cohort (N=687)

Variables	No.	Univariate analysis		Multivariate analysis
		P		HR (95% CI)	P
OS, overall survival; NOS, not otherwise specified; LNR, lymph node rate; LODDS, log odds of positive lymph nodes; HR, hazard ratio; 95% CI, 95% confidence interval.
Sex
Female	323	Reference		−	−
Male	364	0.928		−	−
Age (year)
<45	88	Reference		Reference
45−59	232	0.845		1.248 (0.884−1.763)	0.208
≥60	367	0.123		1.895 (1.352−2.657)	<0.001
Race
Other	159	Reference		Reference
Black	81	0.028		1.452 (1.016−2.074)	0.041
White	447	0.190		1.114 (0.862−1.440)	0.409
Grade
I	1	Reference		−	−
II	21	0.989		−	−
III	638	0.990		−	−
IV	27	0.989		−	−
Size (cm)
<3.5	247	Reference		Reference
3.5−6.8	260	<0.001		1.128 (0.847−1.502)	0.408
>6.8	180	<0.001		1.705 (1.245−2.334)	<0.001
Stage
I	149	Reference		−	−
II	155	<0.001		−	−
III	307	<0.001		−	−
IV	76	<0.001		−	−
T stage
T1	129	Reference		Reference
T2	80	0.030		1.395 (0.784−2.481)	0.257
T3	226	<0.001		2.743 (1.711−4.396)	<0.001
T4a	212	<0.001		4.225 (2.632−6.783)	<0.001
T4b	40	<0.001		5.066 (2.823−9.092)	<0.001
N stage
N0	216	Reference		−	−
N1	112	<0.001		−	−
N2	115	<0.001		−	−
N3a	159	<0.001		−	−
N3b	85	<0.001		−	−
M stage
M0	611	Reference		Reference
M1	76	<0.001		2.041 (1.521−2.740)	<0.001
Site
C16.0-Cardia, NOS	90	Reference		Reference
C16.1-Fundus of stomach	17	0.083		0.578 (0.243−1.377)	0.216
C16.2-Body of stomach	84	0.616		0.988 (0.647−1.508)	0.955
Gastric antrum (including pylorus)	219	0.688		1.000 (0.707−1.413)	0.998
C16.5-lesser curvature of stomach, NOS	105	0.731		0.968 (0.649−1.446)	0.875
C16.6-greater curvature of stomach, NOS	43	0.430		0.896 (0.528−1.520)	0.683
Stomach, NOS	129	0.002		1.186 (0.819−1.719)	0.366
LNR
LNR1	295	Reference		−	−
LNR2	224	<0.001		−	−
LNR3	168	<0.001
LODDS
LODDS1	223	Reference		Reference	<0.001
LODDS2	163	<0.001		1.963 (1.410−2.732)	<0.001
LODDS3	191	<0.001		2.186 (1.582−3.020)	<0.001
LODDS4	110	<0.001		3.194 (2.240−4.554)	<0.001

3

Univariate and multivariate analysis of CSS in training cohort (N=687)

Variables	No.	Univariate analysis		Multivariate analysis
		P		HR (95% CI)	P
CSS, cancer-specific survival; NOS, not otherwise specified; LNR, lymph node rate; LODDS, log odds of positive lymph nodes; HR, hazard ratio; 95% CI, 95% confidence interval.
Sex
Female	323	Reference		−	−
Male	364	0.675		−	−
Age (year)
<45	88	Reference		Reference
45−59	232	0.926		1.174 (0.825−1.670)	0.373
≥60	367	0.329		1.709 (1.210−2.414)	0.002
Race
Other	159	Reference		Reference
Black	81	0.068		1.372 (0.942−1.996)	0.099
White	447	0.250		1.101 (0.844−1.438)	0.478
Grade
I	1	Reference		−	−
II	21	0.990		−	−
III	638	0.990		−	−
IV	27	0.990		−	−
Size (cm)
<3.5	247	Reference		Reference
3.5−6.8	260	<0.001		1.155 (0.854−1.564)	0.350
>6.8	180	<0.001		1.730 (1.248−2.416)	0.001
Stage
I	149	Reference		−	−
II	155	<0.001		−	−
III	307	<0.001		−	−
IV	76	<0.001		−	−
T stage
T1	129	Reference		Reference
T2	80	0.016		1.568 (0.843−2.918)	0.156
T3	226	<0.001		3.011 (1.794−5.054)	<0.001
T4a	212	<0.001		4.609 (2.743−7.744)	<0.001
T4b	40	<0.001		5.364 (2.861−10.057)	<0.001
N stage
N0	216	Reference		−	−
N1	112	<0.001		−	−
N2	115	<0.001		−	−
N3a	159	<0.001		−	−
N3b	85	<0.001		−	−
M stage
M0	611	Reference		Reference
M1	76	<0.001		2.050 (1.514−2.775)	<0.001
Site
C16.0-Cardia, NOS	90	Reference		Reference
C16.1-Fundus of stomach	17	0.012		0.637 (0.267−1.521)	0.310
C16.2-Body of stomach	84	0.581		0.978 (0.632−1.515)	0.921
Gastric antrum (including pylorus)	219	0.886		0.950 (0.663−1.362)	0.781
C16.5-lesser curvature of stomach, NOS	105	0.475		0.877 (0.576−1.336)	0.541
C16.6-greater curvature of stomach, NOS	43	0.392		0.870 (0.501−1.512)	0.622
Stomach, NOS	129	0.002		1.163 (0.793−1.705)	0.440
LNR
LNR1	295	Reference		−	−
LNR2	224	<0.001		−	−
LNR3	168	<0.001
LODDS
LODDS1	223	Reference		Reference	<0.001
LODDS2	163	<0.001		1.999 (1.407−2.839)	<0.001
LODDS3	191	<0.001		2.274 (1.617−3.199)	<0.001
LODDS4	110	<0.001		3.292 (2.265−4.785)	<0.001

4

Prognostic efficiency of different lymph node staging systems of OS in training cohort

System	C-index	AIC	AUC
			1-year survival	3-year survival	5-year survival
OS, overall survival; C-index, concordance index; AIC, Akaike information criterion; AUC, area under the curve; LNR, lymph node ratio; LODDS, log odds of positive lymph nodes.
N stage	0.734	4,524.74	0.729	0.815	0.839
LNR System	0.737	4,512.35	0.728	0.820	0.835
LODDS System	0.745	4,498.97	0.744	0.827	0.844

5

Prognostic efficiency of different lymph node staging systems of CSS in training cohort

System	C-index	AIC	AUC
			1-year survival	3-year survival	5-year survival
CSS, cancer-specific survival; C-index, concordance index; AIC, Akaike information criterion; AUC, area under the curve; LNR, lymph node ratio; LODDS, log odds of positive lymph nodes.
N stage	0.741	4,155.07	0.738	0.820	0.845
LNR system	0.745	4,144.60	0.738	0.826	0.842
LODDS system	0.751	4,135.16	0.749	0.832	0.849