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RATIO OF METASTATIC LYMPH NODES VS. RESECTED LYMPH NODES (N-RATIO) HAS PROGNOSTIC IMPLICATIONS IN GASTRIC CANCER

RELAÇÃO DE LINFONODOS METASTÁTICOS VS. LINFONODOS RESSECADOS (N-RATIO) TEM IMPLICAÇÕES PROGNÓSTICAS NO CÂNCER GÁSTRICO

ABSTRACT

BACKGROUND:

Lymph node status is vital for gastric cancer (GC) prognosis, but the conventional pN stage may be limited by variations in lymphadenectomy and stage migration. The N-Ratio, which assesses the ratio of metastatic to resected lymph nodes, emerges as a promising prognostic tool.

AIMS:

To assess N-Ratios prognostic value in GC, particularly in patients with <25 resected lymph nodes.

METHODS:

Patients who underwent gastrectomy with curative intent for GC were retrospectively evaluated. The N-Ratio categories were determined using the ROC curve method, and the area under the curve (AUC) was used as a measure of performance in predicting recurrence/death.

RESULTS:

A total of 561 GC patients were included in the study, 57% had pN+ status, and 17.5% had <25 resected lymph nodes. N-Ratio, with a mean of 0.12, predicted survival with 74% accuracy (AUC=0.74; 95%CI 0.70–0.78, p<0.001). N-Ratio categories included: N-Ratio 0 (43%); N-Ratio 1 (12.3%); N-Ratio 2 (31.6%); and N-Ratio 3 (13.2%). Disease-free survival (DFS) varied among all N-Ratio groups, with N-Ratio 3 showing worse survival than pN3 cases (DFS=21.8 vs. 11 months, p=0.022, p<0.05). In cases with <25 resected lymph nodes, DFS was not significantly worse in N-Ratio 0 (68.8 vs. 81.9%, p=0.061, p>0.05) and N-Ratio 1 (66.2 vs. 50%, p=0.504, p>0.05) groups. The DFS of N-Ratio-0 cases with <25 lymph nodes was similar to N-Ratio 1 cases.

CONCLUSIONS:

N-Ratio influenced survival in GC patients, especially in advanced lymph node disease (N-Ratio 3). Considering that N-Ratio does not impact pN0 cases, individualized prognosis assessment is essential for patients with <25 resected lymph nodes.

HEADINGS:
Stomach Neoplasms; Adenocarcinoma; Neoplasm Metastasis; Neoplasm Staging

RESUMO

RACIONAL:

O status linfonodal é vital para o prognóstico do câncer gástrico (CG), mas o estágio pN convencional pode ser limitado por variações na linfadenectomia e migração do estágio. O N-Ratio, que avalia a proporção entre linfonodos metastáticos e linfonodos ressecados, surge como uma ferramenta prognóstica promissora.

OBJETIVOS:

Avaliar o valor prognóstico do N-Ratio no CG, particularmente em pacientes com <25 linfonodos ressecados.

MÉTODOS:

Foram analisados, retrospectivamente, pacientes submetidos à gastrectomia com intenção curativa para CG. As categorias do N-Ratio foram determinadas pelo método da curva ROC, e a área sob a curva (AUC) foi utilizada como medida de desempenho na previsão de recorrência/óbito.

RESULTADOS:

Foram incluídos no estudo 561 pacientes com CG, 57% tinham status pN+ e 17,5% tinham <25 linfonodos ressecados. O N-Ratio, com média de 0,12, previu a sobrevida com precisão de 74% (AUC=0,74; IC95% 0,70–0,78, p<0,001). As categorias N-Ratio incluíram: N-Ratio 0 (43%); N-Ratio 1 (12,3%); N-Ratio 2 (31,6%); e N-Ratio 3 (13,2%). A sobrevida livre de doença (SLD) variou entre todos os grupos N-Ratio, com o N-Ratio 3 apresentando pior sobrevida do que os casos pN3 (SLD=21,8 vs.11 meses, p=0,022, p<0,05). Nos casos com <25 linfonodos ressecados, a SLD não foi significativamente pior nos grupos N-Ratio 0 (68,8 vs. 81,9%, p=0,061, p>0,05) e N-Ratio 1 (66,2 vs. 50%, p=0,504, p>0,05). A SLD dos casos de N-Ratio 0 com <25 linfonodos foi semelhante aos casos de N-Ratio 1.

CONCLUSÕES:

O N-Ratio influenciou a sobrevida em pacientes com CG, especialmente na doença linfonodal avançada (N-Ratio 3). Considerando que a proporção N não afeta os casos pN0, a avaliação prognóstica individualizada é essencial para pacientes com <25 linfonodos ressecados.

DESCRITORES:
Neoplasias Gástricas; Adenocarcinoma; Metástase Neoplásica; Estadiamento de Neoplasias

INTRODUCTION

Gastric cancer (GC) is one of the most common neoplasms worldwide, ranking fifth in incidence and fourth in mortality among all cancers99. Ferlay J, Soerjomataram I, Dikshit R, Eser S, Mathers C, Rebelo M, et al. Cancer incidence and mortality worldwide: sources, methods and major patterns in GLOBOCAN 2012. Int J Cancer. 2015;136(5):E359-86. https://doi.org/10.1002/ijc.29210
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Lymph node status is crucial for determining the prognosis of patients with GC, particularly in those with more advanced cancers, in whom metastasis may occur more frequently. In this regard, gastrectomy with D2 lymphadenectomy is the gold-standard treatment for patients with locally advanced GC22. Barchi LC, Ramos MFKP, Dias AR, Andreollo NA, Weston AC, Lourenço LG, et al. II Brazilian consensus on gastric cancer by the Brazilian Gastric Cancer Association. Arq Bras Cir Dig. 2020;33(2):e1514. https://doi.org/10.1590/0102-672020190001e1514
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In GC, lymphatic dissemination is more prevalent than hematogenous spread, which justifies lymphadenectomy during surgery55. Castro OAP, Malheiros CA, Rodrigues FCM, Ilias EJ, Kassab P. Fatores prognósticos nas gastrectomias com linfadenectomia D2 por adenocarcinoma gástrico. ABCD Arq Bras Cir Dig. 2009;22(3):158-64. https://doi.org/10.1590/S0102-67202009000300005
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. Lymphadenectomy can be D1, in which the lymph nodes closest to the stomach are resected, or D2, in which the resection is expanded through the vessels that supply the stomach2727. Songun I, Putter H, Kranenbarg EMK, Sasako M, van de Velde CJ. Surgical treatment of gastric cancer: 15-year follow-up results of the randomised nationwide Dutch D1D2 trial. Lancet Oncol. 2010;11(5):439-49. https://doi.org/10.1016/S1470-2045(10)70070-X
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. D2 lymphadenectomy is associated with better survival2525. Ramos MFKP, Pereira MA, Yagi OK, Dias AR, Charruf AZ, Oliveira RJ, et al. Surgical treatment of gastric cancer: a 10-year experience in a high-volume university hospital. Clinics (Sao Paulo). 2018;73(suppl 1):e543s. https://doi.org/10.6061/clinics/2018/e543s
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, although it is associated with higher rates of postoperative complications especially in older, high-risk patients with comorbidities1414. Japanese Gastric Cancer Association. Japanese gastric cancer treatment guidelines 2018 (5th edition). Gastric Cancer. 2021;24(1):1-21. https://doi.org/10.1007/s10120-020-01042-y
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Despite the reliability and simplicity of the TNM classification, it has some issues related to the correct number of lymph nodes (LNs) to be resected for an accurate staging. The Union for International Cancer Control/American Joint Committee on Cancer (UICC/AJCC) recommends that at least 15 LNs could be examined for correct staging, while the Japanese Gastric Cancer Association (JGCA) recommends that more than 25 lymph nodes is ideal for correct staging1111. Hundahl SA, Phillips JL, Menck HR. The National Cancer Data Base Report on poor survival of U.S. gastric carcinoma patients treated with gastrectomy: fifth edition American Joint Committee on Cancer staging, proximal disease, and the “different disease” hypothesis. Cancer. 2000;88(4):921-32. PMID: 10679663.,1212. Ichikura T, Ogawa T, Chochi K, Kawabata T, Sugasawa H, Mochizuki H. Minimum number of lymph nodes that should be examined for the International Union Against Cancer/American Joint Committee on Cancer TNM classification of gastric carcinoma. World J Surg. 2003;27(3):330-3. https://doi.org/10.1007/s00268-002-6730-9
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,1717. Kano K, Yamada T, Yamamoto K, Komori K, Watanabe H, Hara K, et al. Association between lymph node ratio and survival in patients with pathological stage II/III gastric cancer. Ann Surg Oncol. 2020;27(11):4235-47. https://doi.org/10.1245/s10434-020-08616-1
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. Some studies also suggest that this classification is involved in problems with stage migration, related to the Will Rogers Phenomenon33. Bodner BE. Will Rogers and gastric carcinoma. Arch Surg. 1988;123(8):1023-4. https://doi.org/10.1001/archsurg.1988.01400320109024
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,88. Feinstein AR, Sosin DM, Wells CK. The Will Rogers phenomenon. Stage migration and new diagnostic techniques as a source of misleading statistics for survival in cancer. N Engl J Med. 1985;312(25):1604-8. https://doi.org/10.1056/NEJM198506203122504
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, which can lead to some patients being incorrectly staged, as the patient’s stage may vary due to lymph node involvement44. Bunt AM, Hermans J, Smit VT, van de Velde CJ, Fleuren GJ, Bruijn JA. Surgical/pathologic-stage migration confounds comparisons of gastric cancer survival rates between Japan and Western countries. J Clin Oncol. 1995;13(1):19-25. https://doi.org/10.1200/JCO.1995.13.1.19
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,55. Castro OAP, Malheiros CA, Rodrigues FCM, Ilias EJ, Kassab P. Fatores prognósticos nas gastrectomias com linfadenectomia D2 por adenocarcinoma gástrico. ABCD Arq Bras Cir Dig. 2009;22(3):158-64. https://doi.org/10.1590/S0102-67202009000300005
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,2929. Xu DZ, Geng QR, Long ZJ, Zhan YQ, Li W, Zhou ZW, et al. Positive lymph node ratio is an independent prognostic factor in gastric cancer after d2 resection regardless of the examined number of lymph nodes. Ann Surg Oncol. 2009;16(2):319-26. https://doi.org/10.1245/s10434-008-0240-4
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In order to reduce stage migration, some investigators have proposed using the N-Ratio, namely the ratio between metastatic LNs and the total number of LNs examined, as a new prognostic indicator for GC, even in the case of limited LN dissection77. Dicken BJ, Bigam DL, Cass C, Mackey JR, Joy AA, Hamilton SM. Gastric adenocarcinoma: review and considerations for future directions. Ann Surg. 2005;241(1):27-39. https://doi.org/10.1097/01.sla.0000149300.28588.23
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,1818. Karpeh Jr MS, Brennan MF. Gastric carcinoma. Ann Surg Oncol. 1998;5(7):650-6. https://doi.org/10.1007/BF02303836
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,2121. Marchet A, Mocellin S, Ambrosi A, Morgagni P, Garcea D, Marrelli D, et al. The ratio between metastatic and examined lymph nodes (N ratio) is an independent prognostic factor in gastric cancer regardless of the type of lymphadenectomy: results from an Italian multicentric study in 1853 patients. Ann Surg. 2007;245(4):543-52. https://doi.org/10.1097/01.sla.0000250423.43436.e1
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,3131. Yamashita K, Hosoda K, Ema A, Watanabe M. Lymph node ratio as a novel and simple prognostic factor in advanced gastric cancer. Eur J Surg Oncol. 2016;42(9):1253-60. https://doi.org/10.1016/j.ejso.2016.03.001
https://doi.org/10.1016/j.ejso.2016.03.0...
.

Although some researchers have reported that N-Ratio is an independent prognostic factor, to date there is no N-Ratio system considered standard for use1313. Inoue K, Nakane Y, Iiyama H, Sato M, Kanbara T, Nakai K, et al. The superiority of ratio-based lymph node staging in gastric carcinoma. Ann Surg Oncol. 2002;9(1):27-34. https://doi.org/10.1245/aso.2002.9.1.27
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,1515. Jiang Q, Zeng X, Zhang C, Yang M, Fan J, Mao G, et al. Lymph node ratio is a prospective prognostic indicator for locally advanced gastric cancer patients after neoadjuvant chemotherapy. World J Surg Oncol. 2022;20(1):261. https://doi.org/10.1186/s12957-022-02725-9
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,2020. Marchet A, Mocellin S, Ambrosi A, de Manzoni G, Di Leo A, Marrelli D, et al. The prognostic value of N-ratio in patients with gastric cancer: validation in a large, multicenter series. Eur J Surg Oncol. 2008;34(2):159-65. https://doi.org/10.1016/j.ejso.2007.04.018
https://doi.org/10.1016/j.ejso.2007.04.0...
,2121. Marchet A, Mocellin S, Ambrosi A, Morgagni P, Garcea D, Marrelli D, et al. The ratio between metastatic and examined lymph nodes (N ratio) is an independent prognostic factor in gastric cancer regardless of the type of lymphadenectomy: results from an Italian multicentric study in 1853 patients. Ann Surg. 2007;245(4):543-52. https://doi.org/10.1097/01.sla.0000250423.43436.e1
https://doi.org/10.1097/01.sla.000025042...
,3030. Yamashita H, Deng J, Liang H, Seto Y. Re-evaluating the prognostic validity of the negative to positive lymph node ratio in node-positive gastric cancer patients. Surgery. 2017;161(6):1588-96. https://doi.org/10.1016/j.surg.2016.12.018
https://doi.org/10.1016/j.surg.2016.12.0...
. Different N-Ratio systems with different cutoff values had been proposed2020. Marchet A, Mocellin S, Ambrosi A, de Manzoni G, Di Leo A, Marrelli D, et al. The prognostic value of N-ratio in patients with gastric cancer: validation in a large, multicenter series. Eur J Surg Oncol. 2008;34(2):159-65. https://doi.org/10.1016/j.ejso.2007.04.018
https://doi.org/10.1016/j.ejso.2007.04.0...
,2929. Xu DZ, Geng QR, Long ZJ, Zhan YQ, Li W, Zhou ZW, et al. Positive lymph node ratio is an independent prognostic factor in gastric cancer after d2 resection regardless of the examined number of lymph nodes. Ann Surg Oncol. 2009;16(2):319-26. https://doi.org/10.1245/s10434-008-0240-4
https://doi.org/10.1245/s10434-008-0240-...
,3131. Yamashita K, Hosoda K, Ema A, Watanabe M. Lymph node ratio as a novel and simple prognostic factor in advanced gastric cancer. Eur J Surg Oncol. 2016;42(9):1253-60. https://doi.org/10.1016/j.ejso.2016.03.001
https://doi.org/10.1016/j.ejso.2016.03.0...
, and there are controversies as to whether its applicability would be restricted to cases with LN yield, patients after neoadjuvant chemotherapy (CMT), or remnant gastric cancer2121. Marchet A, Mocellin S, Ambrosi A, Morgagni P, Garcea D, Marrelli D, et al. The ratio between metastatic and examined lymph nodes (N ratio) is an independent prognostic factor in gastric cancer regardless of the type of lymphadenectomy: results from an Italian multicentric study in 1853 patients. Ann Surg. 2007;245(4):543-52. https://doi.org/10.1097/01.sla.0000250423.43436.e1
https://doi.org/10.1097/01.sla.000025042...
,2424. Ramos MFKP, Pereira MCM, Oliveira YS, Pereira MA, Barchi LC, Dias AR, et al. Surgical results of remnant gastric cancer treatment. Rev Col Bras Cir. 2020;47:e20202703. https://doi.org/10.1590/0100-6991e-20202703
https://doi.org/10.1590/0100-6991e-20202...
,2525. Ramos MFKP, Pereira MA, Yagi OK, Dias AR, Charruf AZ, Oliveira RJ, et al. Surgical treatment of gastric cancer: a 10-year experience in a high-volume university hospital. Clinics (Sao Paulo). 2018;73(suppl 1):e543s. https://doi.org/10.6061/clinics/2018/e543s
https://doi.org/10.6061/clinics/2018/e54...
.

Thus, the aim of this study was to investigate the prognostic value of N-Ratio in patients with GC after curative surgical treatment. We also evaluated the influence on survival in patients with fewer than 25 resected LNs.

METHODS

Patients with GC who underwent surgical procedures at our Institution between 2009 and 2020 were evaluated from our prospectively collected database.

Patients were selected for the study according to the following eligibility criteria:

  1. Histological diagnosis of gastric adenocarcinoma;

  2. Total or subtotal gastrectomy, with D1 or D2 lymphadenectomy;

  3. At least two years of follow-up; and

  4. Surgery with curative intent. Patients with remnant gastric cancer, 90-day mortality, presence of synchronous or metachronous neoplasia, and palliative or emergency surgeries were excluded. 

All patients underwent gastrectomy with lymphadenectomy according to the guidelines of the JGCA44. Bunt AM, Hermans J, Smit VT, van de Velde CJ, Fleuren GJ, Bruijn JA. Surgical/pathologic-stage migration confounds comparisons of gastric cancer survival rates between Japan and Western countries. J Clin Oncol. 1995;13(1):19-25. https://doi.org/10.1200/JCO.1995.13.1.19
https://doi.org/10.1200/JCO.1995.13.1.19...
. The eighth edition of the TNM classification was used for staging. 

The surgical specimens were evaluated by histopathological criteria according to the College of American Pathologists protocol (CAP — Cancer Protocols and Checklists), as already performed in our routine.

The clinical data evaluated included sex, age, Body Mass Index (BMI), hemoglobin levels, albumin levels, neutrophil-to-lymphocyte ratio (NLR), American Society of Anesthesiologists (ASA) classification, Charlson Comorbidity Index (CCI), type of gastrectomy, extension of lymphadenectomy, and CMT. 

The follow-up was performed after surgery every three months in the first year and every six months in subsequent years. This study was approved by the hospital’s Ethics and Research Committee and is registered at Plataforma Brasil (a national and unified database of records and research involving human beings) (CAEE: 54787422.3.0000.0068). 

N-Ratio classification

The N-Ratio was calculated for each patient according to the following formula: N-Ratio=number of positive lymph nodes/number of resected lymph nodes.

The area under the receiver operating characteristic (ROC) curve (AUC) was used to evaluate the metric performance of the N-Ratio in predicting recurrence or death. The optimal cutoff value was determined by maximizing Youden’s index (sensitivity + specificity - 1) to distinguish N-Ratio 1 and N-Ratio 2. To define the N-Ratio category 3, the cutoff value was obtained in which the specificity reached 70%. The predictive capacity of the N-Ratio categories was tested by Kaplan-Meier survival method analysis. 

Statistical analysis

Data were described using the mean (with SD, standard deviation) and median (with IQR, interquartile range) quantitative variables, and frequency for qualitative variables. 

The differences between the groups were analyzed using the chi-square test for nominal variables and t-test, ANOVA, or Kruskal-Wallis test for continuous variables.

Survival was estimated by the Kaplan-Meier method, and the log-rank test was used to identify statistical differences between groups. Disease-free survival (DFS) was calculated from the date of surgery until the date of recurrence or death from any cause. Alive patients were censored at the date of the last follow-up. The Cox proportional hazards model was used to identify risk factors related to survival. Significant variables in the univariate analysis were included in the multivariate model to verify those independently associated with survival outcomes. The results were reported as hazard ratios (HRs) with 95% confidence intervals (CI). 

All analyses were performed using SPSS version 20.0 (SPSS, Chicago, IL, USA). Results were considered statistically significant when p<0.05.

RESULTS

A total of 561 patients who met the eligibility criteria were included in the study. The clinicopathological and surgical data for these patients are summarized in Table 1.

Table 1
Clinicopathologic and surgical characteristics of 561 patients with gastric cancer.

The mean age of the patients was 61.9 years (range 22.7–94.5 years), with 322 men (57.4%) and 239 women (42.6%).

The median number of resected LNs was 41.2 (range 4–115), and 57% of the patients had lymph nodal metastasis. In addition, 17.5% of patients had fewer than 25 resected LNs. Most cases were staged as pTNM III (44.7%), and 56.7% of patients received preoperative or adjuvant chemotherapy (91 and 273 cases, respectively).

The N-Ratio was calculated for each patient, and the median value was 0.12. The accuracy of N-Ratio in predicting DFS was evaluated using a ROC curve, and the AUC was used to determine its accuracy, as presented in Figure 1. The N-Ratio had an accuracy of 74% (AUC=0.741, 95%CI 0.698–0.783, p=0.022). Based on sensitivity and specificity values, the patients were classified into the following N-Ratio groups using the cutoff values: N-Ratio 0: 0%; N-Ratio 1: 0–5%; N-Ratio 2: 6–33%; N-Ratio 3: >34%. The established cutoff values and the distribution of patients in the N-Ratio categories are presented in Table 2.

Figure 1
Receiver operating characteristic curve and the area under the curve (AUC) for N-Ratio.
Table 2
Cutoff values and distribution of 561 patients in N-Ratio groups.

Clinicopathological characteristics in relation to the N-Ratio groups are presented in Table 3. The frequency of total gastrectomy and D1 lymphadenectomy was higher in the N-Ratio 3 group. Furthermore, larger tumor size, diffuse histological type, poorly differentiated histology, and advanced pT and pTNM stage were also more common in the N-Ratio 3 category. Lower frequency of lymphatic, venous, and perineural invasion were observed in the N-Ratio 0 category. 

Table 3
Clinicopathological characteristics of gastric cancer of 561 patients according to the N-Ratio categories.

The groups also differed regarding the mean number of resected lymph nodes, with the highest frequency of cases with fewer than 25 LNs in the N-Ratio 3 group (25.7% of cases). The N-Ratio 1 category presented the highest frequency of cases, with at least 25 resected LNs (94.2% of cases).

Survival analysis

The median follow-up for the entire cohort was 47.1 months (mean = 48.2). During the follow-up, 160 (28.5%) patients had disease recurrence, and 204 (36.4%) died. The estimated 5-year DFS rate for the entire cohort was 57.4%. 

The curves of all N-Ratio categories differed from each other (Figure 2). N-Ratio-0 patients had better survival compared to N-Ratio 1 (p=0.005); while N-Ratio-1 cases had better survival compared to patients classified as N-Ratio 2 (p=0.007). In turn, N-Ratio-3 GC had poorer survival compared to the N-Ratio 2 group (p<0.001).

Figure 2
Survival curves of 561 patients according to the N-Ratio categories and comparison of the N-Ratio groups with the pN stage.

When compared to the classic staging pN stage, there was no statistical difference between the DFS of N-Ratio 1 and pN1 group (p=0.650), and between N-Ratio 2 and pN2 group (35.8 vs 35.7 months, respectively; p=0.998). Nevertheless, the DFS in the N-Ratio 3 category was worse compared to pN3 group (p=0.022). The median survival of the N-Ratio 3 and pN3 was 11.1 and 21.8 months, respectively. 

Survival according to the number of resected lymph nodes: <25 and ≥25 LNs groups

Survival data for the N-Ratio and pN categories stratified by the number of LNs are shown in Table 4. There was no significant difference between categories when comparing cases with <25 LNs and those with ≥25 LNs. However, a tendency toward better survival was observed in N-Ratio-0/pN0 patients with ≥25 resected LNs compared to <25-LNs cases (Figure 3).

Table 4
Disease-free survival of 561 patients based on N-Ratio classification and N stage according to the number of resected lymph nodes.
Figure 3
Survival curves of 561 patients comparing N-Ratio 0 <25 LNs vs ≥25 LNs.

Survival data for cases with <25 and ≥25 LNs, comparing the N-Ratio and pN categories with each other, are presented in Table 1.

In the group with <25 LNs, N-Ratio 1 presented higher DFS median compared to pN1 (56.1 vs 20.7 months, p=0.593), while the estimated 5-year DFS was worse in N-Ratio 3 compared to pN3 (22.2 vs 28.6 months, p=0.849). In the group with ≥25 LNs, the comparison of the estimated 5-year DFS of N-Ratio 3 and pN3 showed significant statistic values (11.0 vs. 30.0, p=0.021, p<0.05) (Table 5).

Table 5
Disease-free survival rates of 561 patients according to the number of resected lymph nodes for N-Ratio and pN stages.

In the analysis of risk factors associated with DFS (Table 2), American Society of Anesthesiology (ASA) III/IV, total gastrectomy, pT3/T4 stage, and advanced N-Ratio category were independent factors associated with worse survival. Stepwise regression analysis included all the statistically significant prognostic factors by univariate analysis (Table 6).

Table 6
Univariate and multivariate analysis for disease-free survival of 561 gastric cancer patients.

DISCUSSION

The present study was developed with the objective of evaluating the prognostic meaning of the N-Ratio classification in patients with GC treated with curative intent. N-Ratio can in fact be used as an alternative prognostic tool to better stage patients with GC. In addition, the prognostic value of N-Ratio based on the numbers of resected LNs (<25 or ≥25) was also evaluated.

We found that the categories determined by N-Ratio are related to independent factors associated with survival, which can lead to a better distinction between patients with a more extent lymph nodal stage and a more deteriorated prognosis. In addition, we could see a possibility to better stage N-Ratio-0 patients when stratified in groups with <25 resected LNs and ≥25 resected LNs. 

N-Ratio has been indicated as an effective prognostic tool in several Western and Japanese series due to its capacity to better discriminate subsets of patients with similar prognosis and the ability to reduce the risk of stage migration1313. Inoue K, Nakane Y, Iiyama H, Sato M, Kanbara T, Nakai K, et al. The superiority of ratio-based lymph node staging in gastric carcinoma. Ann Surg Oncol. 2002;9(1):27-34. https://doi.org/10.1245/aso.2002.9.1.27
https://doi.org/10.1245/aso.2002.9.1.27...
,1515. Jiang Q, Zeng X, Zhang C, Yang M, Fan J, Mao G, et al. Lymph node ratio is a prospective prognostic indicator for locally advanced gastric cancer patients after neoadjuvant chemotherapy. World J Surg Oncol. 2022;20(1):261. https://doi.org/10.1186/s12957-022-02725-9
https://doi.org/10.1186/s12957-022-02725...
,1717. Kano K, Yamada T, Yamamoto K, Komori K, Watanabe H, Hara K, et al. Association between lymph node ratio and survival in patients with pathological stage II/III gastric cancer. Ann Surg Oncol. 2020;27(11):4235-47. https://doi.org/10.1245/s10434-020-08616-1
https://doi.org/10.1245/s10434-020-08616...
,1919. Kodera Y, Yamamura Y, Shimizu Y, Torii A, Hirai T, Yasui K, et al. Lymph node status assessment for gastric carcinoma: is the number of metastatic lymph nodes really practical as a parameter for N categories in the TNM classification? Tumor node metastasis. J Surg Oncol. 1998;69(1):15-20. https://doi.org/10.1002/(sici)1096-9098(199809)69:1≤15::aid-jso4≥3.0.co;2-n
https://doi.org/10.1002/(sici)1096-9098(...

20. Marchet A, Mocellin S, Ambrosi A, de Manzoni G, Di Leo A, Marrelli D, et al. The prognostic value of N-ratio in patients with gastric cancer: validation in a large, multicenter series. Eur J Surg Oncol. 2008;34(2):159-65. https://doi.org/10.1016/j.ejso.2007.04.018
https://doi.org/10.1016/j.ejso.2007.04.0...
-2121. Marchet A, Mocellin S, Ambrosi A, Morgagni P, Garcea D, Marrelli D, et al. The ratio between metastatic and examined lymph nodes (N ratio) is an independent prognostic factor in gastric cancer regardless of the type of lymphadenectomy: results from an Italian multicentric study in 1853 patients. Ann Surg. 2007;245(4):543-52. https://doi.org/10.1097/01.sla.0000250423.43436.e1
https://doi.org/10.1097/01.sla.000025042...
,2929. Xu DZ, Geng QR, Long ZJ, Zhan YQ, Li W, Zhou ZW, et al. Positive lymph node ratio is an independent prognostic factor in gastric cancer after d2 resection regardless of the examined number of lymph nodes. Ann Surg Oncol. 2009;16(2):319-26. https://doi.org/10.1245/s10434-008-0240-4
https://doi.org/10.1245/s10434-008-0240-...
-31. 

Some researchers only analyzed fragments of the population, as the study conducted by Jiang et al.1515. Jiang Q, Zeng X, Zhang C, Yang M, Fan J, Mao G, et al. Lymph node ratio is a prospective prognostic indicator for locally advanced gastric cancer patients after neoadjuvant chemotherapy. World J Surg Oncol. 2022;20(1):261. https://doi.org/10.1186/s12957-022-02725-9
https://doi.org/10.1186/s12957-022-02725...
, who excluded patients with metastasis; for instance, Xu et al.2929. Xu DZ, Geng QR, Long ZJ, Zhan YQ, Li W, Zhou ZW, et al. Positive lymph node ratio is an independent prognostic factor in gastric cancer after d2 resection regardless of the examined number of lymph nodes. Ann Surg Oncol. 2009;16(2):319-26. https://doi.org/10.1245/s10434-008-0240-4
https://doi.org/10.1245/s10434-008-0240-...
and Bando et al.11. Bando E, Yonemura Y, Taniguchi K, Fushida S, Fujimura T, Miwa K. Outcome of ratio of lymph node metastasis in gastric carcinoma. Ann Surg Oncol. 2002;9(8):775-84. https://doi.org/10.1007/BF02574500
https://doi.org/10.1007/BF02574500...
only considered D2 cases. Conversely, several other researchers1313. Inoue K, Nakane Y, Iiyama H, Sato M, Kanbara T, Nakai K, et al. The superiority of ratio-based lymph node staging in gastric carcinoma. Ann Surg Oncol. 2002;9(1):27-34. https://doi.org/10.1245/aso.2002.9.1.27
https://doi.org/10.1245/aso.2002.9.1.27...
,1717. Kano K, Yamada T, Yamamoto K, Komori K, Watanabe H, Hara K, et al. Association between lymph node ratio and survival in patients with pathological stage II/III gastric cancer. Ann Surg Oncol. 2020;27(11):4235-47. https://doi.org/10.1245/s10434-020-08616-1
https://doi.org/10.1245/s10434-020-08616...
,2020. Marchet A, Mocellin S, Ambrosi A, de Manzoni G, Di Leo A, Marrelli D, et al. The prognostic value of N-ratio in patients with gastric cancer: validation in a large, multicenter series. Eur J Surg Oncol. 2008;34(2):159-65. https://doi.org/10.1016/j.ejso.2007.04.018
https://doi.org/10.1016/j.ejso.2007.04.0...
,2222. Mullaney PJ, Wadley MS, Hyde C, Wyatt J, Lawrence G, Hallissey MT, et al. Appraisal of compliance with the UICC/AJCC staging system in the staging of gastric cancer. Union Internacional Contra la Cancrum/American Joint Committee on Cancer. Br J Surg. 2002;89(11):1405-8. https://doi.org/10.1046/j.1365-2168.2002.02262.x
https://doi.org/10.1046/j.1365-2168.2002...
,3030. Yamashita H, Deng J, Liang H, Seto Y. Re-evaluating the prognostic validity of the negative to positive lymph node ratio in node-positive gastric cancer patients. Surgery. 2017;161(6):1588-96. https://doi.org/10.1016/j.surg.2016.12.018
https://doi.org/10.1016/j.surg.2016.12.0...
,3131. Yamashita K, Hosoda K, Ema A, Watanabe M. Lymph node ratio as a novel and simple prognostic factor in advanced gastric cancer. Eur J Surg Oncol. 2016;42(9):1253-60. https://doi.org/10.1016/j.ejso.2016.03.001
https://doi.org/10.1016/j.ejso.2016.03.0...
, including us, evaluated patients who underwent gastrectomies with curative intent associated with D1 and D2 lymphadenectomy. Furthermore, we could analyze in our study an average of 41.2 resected LNs, which is a noteworthy parameter considering that previous research reported values ranging from 10 to 51 LNs11. Bando E, Yonemura Y, Taniguchi K, Fushida S, Fujimura T, Miwa K. Outcome of ratio of lymph node metastasis in gastric carcinoma. Ann Surg Oncol. 2002;9(8):775-84. https://doi.org/10.1007/BF02574500
https://doi.org/10.1007/BF02574500...
,77. Dicken BJ, Bigam DL, Cass C, Mackey JR, Joy AA, Hamilton SM. Gastric adenocarcinoma: review and considerations for future directions. Ann Surg. 2005;241(1):27-39. https://doi.org/10.1097/01.sla.0000149300.28588.23
https://doi.org/10.1097/01.sla.000014930...
,1313. Inoue K, Nakane Y, Iiyama H, Sato M, Kanbara T, Nakai K, et al. The superiority of ratio-based lymph node staging in gastric carcinoma. Ann Surg Oncol. 2002;9(1):27-34. https://doi.org/10.1245/aso.2002.9.1.27
https://doi.org/10.1245/aso.2002.9.1.27...
,1515. Jiang Q, Zeng X, Zhang C, Yang M, Fan J, Mao G, et al. Lymph node ratio is a prospective prognostic indicator for locally advanced gastric cancer patients after neoadjuvant chemotherapy. World J Surg Oncol. 2022;20(1):261. https://doi.org/10.1186/s12957-022-02725-9
https://doi.org/10.1186/s12957-022-02725...
,1717. Kano K, Yamada T, Yamamoto K, Komori K, Watanabe H, Hara K, et al. Association between lymph node ratio and survival in patients with pathological stage II/III gastric cancer. Ann Surg Oncol. 2020;27(11):4235-47. https://doi.org/10.1245/s10434-020-08616-1
https://doi.org/10.1245/s10434-020-08616...
,2020. Marchet A, Mocellin S, Ambrosi A, de Manzoni G, Di Leo A, Marrelli D, et al. The prognostic value of N-ratio in patients with gastric cancer: validation in a large, multicenter series. Eur J Surg Oncol. 2008;34(2):159-65. https://doi.org/10.1016/j.ejso.2007.04.018
https://doi.org/10.1016/j.ejso.2007.04.0...
,2222. Mullaney PJ, Wadley MS, Hyde C, Wyatt J, Lawrence G, Hallissey MT, et al. Appraisal of compliance with the UICC/AJCC staging system in the staging of gastric cancer. Union Internacional Contra la Cancrum/American Joint Committee on Cancer. Br J Surg. 2002;89(11):1405-8. https://doi.org/10.1046/j.1365-2168.2002.02262.x
https://doi.org/10.1046/j.1365-2168.2002...
,3030. Yamashita H, Deng J, Liang H, Seto Y. Re-evaluating the prognostic validity of the negative to positive lymph node ratio in node-positive gastric cancer patients. Surgery. 2017;161(6):1588-96. https://doi.org/10.1016/j.surg.2016.12.018
https://doi.org/10.1016/j.surg.2016.12.0...
,3131. Yamashita K, Hosoda K, Ema A, Watanabe M. Lymph node ratio as a novel and simple prognostic factor in advanced gastric cancer. Eur J Surg Oncol. 2016;42(9):1253-60. https://doi.org/10.1016/j.ejso.2016.03.001
https://doi.org/10.1016/j.ejso.2016.03.0...
.

Concerning GC, different N-Ratio cutoffs have been proposed. In an 1,853 multicentric study, Marchet et al.2020. Marchet A, Mocellin S, Ambrosi A, de Manzoni G, Di Leo A, Marrelli D, et al. The prognostic value of N-ratio in patients with gastric cancer: validation in a large, multicenter series. Eur J Surg Oncol. 2008;34(2):159-65. https://doi.org/10.1016/j.ejso.2007.04.018
https://doi.org/10.1016/j.ejso.2007.04.0...
,2121. Marchet A, Mocellin S, Ambrosi A, Morgagni P, Garcea D, Marrelli D, et al. The ratio between metastatic and examined lymph nodes (N ratio) is an independent prognostic factor in gastric cancer regardless of the type of lymphadenectomy: results from an Italian multicentric study in 1853 patients. Ann Surg. 2007;245(4):543-52. https://doi.org/10.1097/01.sla.0000250423.43436.e1
https://doi.org/10.1097/01.sla.000025042...
adopted the following N-Ratio cutoffs: 0%, 1 to 9%, 10 to 25%, and >25%, which was obtained based on log-rank test and the Martingale residual analysis. The same cutoffs of Marchet et al.2121. Marchet A, Mocellin S, Ambrosi A, Morgagni P, Garcea D, Marrelli D, et al. The ratio between metastatic and examined lymph nodes (N ratio) is an independent prognostic factor in gastric cancer regardless of the type of lymphadenectomy: results from an Italian multicentric study in 1853 patients. Ann Surg. 2007;245(4):543-52. https://doi.org/10.1097/01.sla.0000250423.43436.e1
https://doi.org/10.1097/01.sla.000025042...
were used in Xu et al.2929. Xu DZ, Geng QR, Long ZJ, Zhan YQ, Li W, Zhou ZW, et al. Positive lymph node ratio is an independent prognostic factor in gastric cancer after d2 resection regardless of the examined number of lymph nodes. Ann Surg Oncol. 2009;16(2):319-26. https://doi.org/10.1245/s10434-008-0240-4
https://doi.org/10.1245/s10434-008-0240-...
analysis, with 906 GC patients. Alternatively, in a study on 351 patients, Yamashita et al.3131. Yamashita K, Hosoda K, Ema A, Watanabe M. Lymph node ratio as a novel and simple prognostic factor in advanced gastric cancer. Eur J Surg Oncol. 2016;42(9):1253-60. https://doi.org/10.1016/j.ejso.2016.03.001
https://doi.org/10.1016/j.ejso.2016.03.0...
selected four different N-Ratio cutoff values: 0%, 0 to 20%, 21 to 30%, and >30%, and the cutoff point survival analysis was the method used to determine these cutoffs. Based on the ROC curve and the AUC, we could evaluate the metric performance of the N-Ratio in predicting recurrence or death. Finally, we could propose the following cutoff values: 0%, 1 to 5%, 6 to 33%, and >34%. As we can observe, these values differ from those usually found in current literature and, therefore, can be seen as an alternative to future research. 

Retrospective analyses of patients who underwent gastrectomies, such as those by Marchet et al.2020. Marchet A, Mocellin S, Ambrosi A, de Manzoni G, Di Leo A, Marrelli D, et al. The prognostic value of N-ratio in patients with gastric cancer: validation in a large, multicenter series. Eur J Surg Oncol. 2008;34(2):159-65. https://doi.org/10.1016/j.ejso.2007.04.018
https://doi.org/10.1016/j.ejso.2007.04.0...
,2121. Marchet A, Mocellin S, Ambrosi A, Morgagni P, Garcea D, Marrelli D, et al. The ratio between metastatic and examined lymph nodes (N ratio) is an independent prognostic factor in gastric cancer regardless of the type of lymphadenectomy: results from an Italian multicentric study in 1853 patients. Ann Surg. 2007;245(4):543-52. https://doi.org/10.1097/01.sla.0000250423.43436.e1
https://doi.org/10.1097/01.sla.000025042...
and Xu et al.2929. Xu DZ, Geng QR, Long ZJ, Zhan YQ, Li W, Zhou ZW, et al. Positive lymph node ratio is an independent prognostic factor in gastric cancer after d2 resection regardless of the examined number of lymph nodes. Ann Surg Oncol. 2009;16(2):319-26. https://doi.org/10.1245/s10434-008-0240-4
https://doi.org/10.1245/s10434-008-0240-...
, have shown that the N-Ratio can be used as an independent prognostic factor in all cases, including those with few resected LNs (<15 LNs), when comparing survival to TNM staging. However, authors of other research, such as the one conducted by Mullaney et al.2222. Mullaney PJ, Wadley MS, Hyde C, Wyatt J, Lawrence G, Hallissey MT, et al. Appraisal of compliance with the UICC/AJCC staging system in the staging of gastric cancer. Union Internacional Contra la Cancrum/American Joint Committee on Cancer. Br J Surg. 2002;89(11):1405-8. https://doi.org/10.1046/j.1365-2168.2002.02262.x
https://doi.org/10.1046/j.1365-2168.2002...
, have suggested that the accuracy of N-Ratio in staging may be compromised when fewer than 15 LNs are removed during resection. This highlights the dilemma and emphasizes the need for future research to consider the amount of LNs to be resected carefully. In comparison with this other analysis, in this study we divided patients in those with <25 LNs and ≥25 LNs, as recommended by JGCA, seeking to find relevance and measure the applicability of N-Ratio even in less extensive LNs resections.

Indeed, this debate around the application of the N-ratio in relation to the average of recovered LNs is particularly important, as the TNM system does not consider lymph nodes that may have the potential to become cancerous, leading to inaccurate staging in cases with fewer resected structures. 

Our findings underline this ability of N-Ratio to better stage patients with GC, mainly for those with a worse prognosis, when compared to the stage provided for pN, as we could see the results of median DFS of N-Ratio 3 vs. pN3 (DFS=11.1 vs. 21.8 months, p=0.022, p<0.05). 

Taking this into consideration, this series not only corroborates the superiority of N-Ratio above the pN staging system as an alternative prognostic tool to better stage patients with GC, but also has a greater capacity to benefit patients with a more deteriorated prognosis, allowing a better treatment management1616. Jiao XG, Deng JY, Zhang RP, Wu LL, Wang L, Liu HG, et al. Prognostic value of number of examined lymph nodes in patients with node-negative gastric cancer. World J Gastroenterol. 2014;20(13):3640-8. https://doi.org/10.3748/wjg.v20.i13.3640
https://doi.org/10.3748/wjg.v20.i13.3640...
.

Interestingly, even with the difference between N-Ratio 3 and pN3, we observed no differences in survival between N-Ratio 1 vs pN1 and N-Ratio 2 and pN2 groups. This suggests that the N-Ratio was able to reclassify patients who would be understaged by the pN classification.

It should be noted that when submitted to statistical analysis, all the DFS curves of N-Ratio were different from each other (p<0.05), which reinforces the cutoffs previously proposed, ensuring statistical difference between all the N-Ratio groups evaluated. Besides, most of the research compared in this study also presented statistical difference between the survival curves1313. Inoue K, Nakane Y, Iiyama H, Sato M, Kanbara T, Nakai K, et al. The superiority of ratio-based lymph node staging in gastric carcinoma. Ann Surg Oncol. 2002;9(1):27-34. https://doi.org/10.1245/aso.2002.9.1.27
https://doi.org/10.1245/aso.2002.9.1.27...
,1616. Jiao XG, Deng JY, Zhang RP, Wu LL, Wang L, Liu HG, et al. Prognostic value of number of examined lymph nodes in patients with node-negative gastric cancer. World J Gastroenterol. 2014;20(13):3640-8. https://doi.org/10.3748/wjg.v20.i13.3640
https://doi.org/10.3748/wjg.v20.i13.3640...
,1717. Kano K, Yamada T, Yamamoto K, Komori K, Watanabe H, Hara K, et al. Association between lymph node ratio and survival in patients with pathological stage II/III gastric cancer. Ann Surg Oncol. 2020;27(11):4235-47. https://doi.org/10.1245/s10434-020-08616-1
https://doi.org/10.1245/s10434-020-08616...
,2020. Marchet A, Mocellin S, Ambrosi A, de Manzoni G, Di Leo A, Marrelli D, et al. The prognostic value of N-ratio in patients with gastric cancer: validation in a large, multicenter series. Eur J Surg Oncol. 2008;34(2):159-65. https://doi.org/10.1016/j.ejso.2007.04.018
https://doi.org/10.1016/j.ejso.2007.04.0...
,3030. Yamashita H, Deng J, Liang H, Seto Y. Re-evaluating the prognostic validity of the negative to positive lymph node ratio in node-positive gastric cancer patients. Surgery. 2017;161(6):1588-96. https://doi.org/10.1016/j.surg.2016.12.018
https://doi.org/10.1016/j.surg.2016.12.0...
,3131. Yamashita K, Hosoda K, Ema A, Watanabe M. Lymph node ratio as a novel and simple prognostic factor in advanced gastric cancer. Eur J Surg Oncol. 2016;42(9):1253-60. https://doi.org/10.1016/j.ejso.2016.03.001
https://doi.org/10.1016/j.ejso.2016.03.0...
.

We divided the N-Ratio groups of our cohort into those with fewer than 25 LNs, or ≥25 resected LNs, as recommended by JGCA1414. Japanese Gastric Cancer Association. Japanese gastric cancer treatment guidelines 2018 (5th edition). Gastric Cancer. 2021;24(1):1-21. https://doi.org/10.1007/s10120-020-01042-y
https://doi.org/10.1007/s10120-020-01042...
. 17.5% of the patients presented fewer than 25 resected LNs, and while N-Ratio 1 had the greater number of resected lymph nodes (94.2% of patients ≥25 LNs), N-Ratio 3 presented the worst rate (74.3% of patients >25 LNs). This low amount of resected LNs is certainly linked to the more deteriorated prognosis of patients in the N-Ratio 3 group. 

Noteworthily, we found significance difference in DFS in N-Ratio 0 when stratified by number of LNs (<25 vs. ≥25 LNs). Moreover, the N-Ratio 0 <25 LNs showed a survival comparable to the N-Ratio 1 (50.3 vs. 46.5 months, respectively), suggesting an indisputable worse prognosis of the group with fewer resected LNs. This observation may be relevant because the indication of adjuvant chemotherapy is based on the TNM stage. Thus, patients pN0 with fewer resected lymph nodes may be suitable to adjuvant chemotherapy.

Most importantly, these values imply that the N-Ratio 0 group was likely understaged and the patients classified as such may instead turn out to be N-Ratio 1 or N-Ratio 2. This raises concerns regarding the adequacy of LNs dissection in the N-Ratio 0 group, considering that, in cases in which there are no positive LNs, patients are automatically assigned to this group. Furthermore, given the limited number of LNs examined, the likelihood of underdiagnosis is significantly increased1010. Hong S, Pereira MA, Dias AR, Ribeiro Junior U, D’Albuquerque LAC, Ramos MFKP. Failure to rescue after gastrectomy: a new indicator of surgical quality. Arq Bras Cir Dig. 2023;36:e1774. https://doi.org/10.1590/0102-672020230056e1774
https://doi.org/10.1590/0102-67202023005...
.

As for the group with ≥25 LNs, in Table 5 we demonstrate that only the comparison between N-Ratio 3 and pN3 was statistically significant (11.0 vs. 30.0, p=0.021, p<0.05). Taking this into consideration, we can presume that the lack of statistical significance in the other comparisons may be attributed to the smaller sample size, as compared to N-Ratio 3 and pN3, and the superior prognostic ability of N-Ratio in predicting poorer outcomes.

It should be noted that at the Cancer Institute of the State of São Paulo, the center where all patients in this study were operated on, it is routine to perform extended lymphadenectomy, and it is hypothesized that the statistical values of N-Ratio would be even more significant for centers that operate with smaller lymph node resections.

The present study has some limitations. This is a retrospective research, in which we evaluated patients based on the experience of a single center. One of the main limitations is the lack of standardization in the cutoffs of the N-Ratio, which have been different in most studies in the literature, as well as the number of LNs that should be resected to obtain a viable and prognostic stage2121. Marchet A, Mocellin S, Ambrosi A, Morgagni P, Garcea D, Marrelli D, et al. The ratio between metastatic and examined lymph nodes (N ratio) is an independent prognostic factor in gastric cancer regardless of the type of lymphadenectomy: results from an Italian multicentric study in 1853 patients. Ann Surg. 2007;245(4):543-52. https://doi.org/10.1097/01.sla.0000250423.43436.e1
https://doi.org/10.1097/01.sla.000025042...
. In the present study, we determined the N-Ratio categories based on the cutoff values determined by ROC curve. Furthermore, although some researchers state that the prognostic impact of the N-Ratio is restricted to patients with inadequate lymph node dissection, in this study it was not possible to assess the influence of the N-Ratio on cases with fewer than 15 LNs. In this case, although evaluating patients with fewer than 25 LNs, the number of patients was limited for some analyses. In fact, the mean number of lymph nodes in our study was 41.2, and D2 lymphadenectomy was performed in 85.6% of cases — which is higher than most studies. This may explain why we did not find significant differences between all N-Ratio categories when stratified by the number of LNs (25 LNs).

Possibly, if applied only in D1 cases, or in a larger cohort of patients with <25 LNs, some differences may be evidenced — which would possibly be those who would most benefit from prognostic determination by applying the N-Ratio.

CONCLUSIONS

N-Ratio was an independent factor associated with survival in GC patients, being able to stratify especially those with more advanced lymph node disease (N-Ratio 3). As the N-Ratio does not weigh pN0 cases, an individualized prognosis index should be considered in those with a lymph node yield of less than 25.

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  • Financial source:

    FAPESP (São Paulo Research Foundation) scientific initiation scholarship.

Central Message

  • Lymph node status is crucial for determining the prognosis of patients with GC, particularly in those with more advanced cancers, in whom metastasis may occur more frequently. In this regard, gastrectomy with D2 lymphadenectomy is the gold-standard treatment for patients with locally advanced gastric cancer (GC). Some investigators have proposed using the N-Ratio, namely the ratio between metastatic lymph nodes (LNs) and the total number of LNs examined, as a new prognostic indicator for GC, even in the case of limited LN dissection.

Perspectives

  • N-Ratio was an independent factor associated with survival in GC patients, being able to stratify especially those with more advanced lymph node disease (N-Ratio 3). As the N-Ratio does not weigh pN0 cases, an individualized prognosis index should be considered in those with a lymph node yield of less than 25.

Edited by

Editorial Support:

National Council for Scientific and Technological Development (CNPq).

Publication Dates

  • Publication in this collection
    23 Sept 2024
  • Date of issue
    2024

History

  • Received
    19 Feb 2024
  • Accepted
    20 June 2024
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