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PLOS One logoLink to PLOS One
. 2024 Mar 28;19(3):e0298014. doi: 10.1371/journal.pone.0298014

Prognostic difference between surgery and external radiation in patients with stage I liver cancer based on competitive risk model and conditional survival rate

Rong Chen 1,*, Yanli An 2, Muhao Xu 2
Editor: Calogero Casà3
PMCID: PMC10977706  PMID: 38547200

Abstract

Purpose

This study aimed to assess the difference in prognosis of patients with early-stage liver cancer after surgery or external radiation.

Methods

Between 2010 and 2015, 2155 patients with AJCC 7th stage I liver cancer were enrolled in the SEER database. Among these, 1972 patients had undergone surgery and 183 had undergone external beam radiation. The main research endpoints were overall survival (OS) and disease-specific survival (DSS). The competitive risk model was used to calculate the risk ratio of liver cancer-specific deaths when there was a competitive risk. Propensity Score Matching (PSM) method using a 1:1 ratio was used to match confounders such as sex, age, and treatment method. Conditional survival was dynamically assessed for patient survival after surgery or external radiation.

Results

Multivariate analysis of the competitive risk model showed that age, disease diagnosis time, grade, and treatment [surgery and external beam radiation therapy (EBRT)] were independent prognostic factors for patients with hepatocellular carcinoma. Surgery had a higher survival improvement rate than that of EBRT. As the survival of patients with liver cancer increased, the survival curve of surgery declined more slowly than that of radiotherapy patients and stabilized around 3 years after surgery. The survival curve of radiotherapy patients significantly dropped within 4 years and then stabilized.

Conclusion

Surgery was better than EBRT for patients with stage I liver cancer. Close follow-up was required for 3 years after surgery or 4 years after external radiation. This study can help clinicians make better informed clinical decisions.

Introduction

Liver cancer is one of the most common malignant tumors in the world and has a high mortality rate [1]. Surgical resection is an important approach in patients with stage I liver cancer to achieve long-term survival. Since less than 30% of patients with early-stage liver cancer can tolerate radical surgery [2], researchers are actively exploring non-surgical interventions. The most commonly used treatment strategy for such patients is external beam radiation therapy (EBRT) [3].

A study based on the Surveillance, Epidemiology, and End Results (SEER) database, analyzed the 6th edition AJCC stage I hepatocellular carcinoma (HCC) patients who were diagnosed between 2004 and 2013. It is believed that for small tumors (≤ 3 cm), the efficacy of EBRT is comparable to that of surgical resection [4]. With the development of technology in recent years, the indications of EBRT for liver cancer have expanded from adjuvant therapy to high-dose radical radiation therapy [5]. This research employed COX analysis, ignored the risk of competition, and may have misestimated the risk of the event of interest. For this reason, a competitive risk prognosis model based on liver cancer was further constructed and evaluated to provide reference for the selection of treatment alternatives and predict prognosis of patients with liver cancer.

Conditional survival rate is the probability of surviving for (x) years and then surviving for (y) years. As the survival time increases, the patients’ risk of death dynamically changes [6]. Taking this into consideration, compared to the traditional cumulative survival rate, conditional survival rate can provide a more accurate and dynamic survival rate estimate. In addition, there are competing events of non-liver cancer associated deaths in the SEER database. If the competitive events exceed 10%, the use of the traditional COX proportional hazard model for overall survival (OS) analysis will overestimate the cumulative incidence of outcome events. In our study, a total of 523 people died in OS, of which 300 people died in DSS (Disease Specific Survival) (accounting for 57.36% of total deaths); thus, the proportion of deaths due to competitive events was 42.64% (100% - 57.36%).

Therefore, this study aimed to use the data of the 7th edition AJCC stage I liver cancer patients diagnosed between 2010 to 2015 from the SEER database, explore the prognostic value of two treatment modalities based on the competitive risk model. The propensity score matching (PSM) method was used to achieve the effect of “after the fact” randomization and conditional survival to analyze the conditional survival probability of the two treatment methods. To the best of our knowledge, there are no previous reports for the studied treatment modalities.

Methods

Data source

In this study, raw data are made available on SEER(https://seer.cancer.gov/) database of the United States National Cancer Institute. The data are public and do not involve the privacy of patients; therefore, review and approval by the ethics committee are not required. The SEER data are public and do not involve the privacy of patients, so the review and approval by the ethics committee are not required.

Patient selection

Patients with stage I HCC diagnosed between 2010 and 2015 according to the 7th edition of AJCC were included. Inclusion criteria are (1) no distant metastasis, (2) single lesion, and (3) patients undergoing surgery or EBRT. Exclusion criteria are (1) patients with a history of malignant tumors and (2) patients with a survival period of < 3 months.

Endpoints

The primary endpoint was disease specific survival (DSS), which is defined as the time from surgery or EBRT till HCC-associated death. Non-liver cancer-associated death was a competitive event.

Statistics

All statistical analyses were performed using R software (Version 4.0.5). Patient characteristics were compared by using Chi-square test for categorical data and Kruskal–Wallis test for continuous data. Survival analysis was performed using the Kaplan–Meier method for the estimation of the survival function. The log-rank test was used to compare the survival of patients according to the treatment modality (surgery versus EBRT). Cox regression analysis was used in OS and DSS single factor and multiple factor analysis. Cumulative incidence function was used to calculate the cumulative occurrence of liver cancer-specific deaths and non-specific deaths rates. Competitive risk models for single-factor and multi-factor analyses were used to calculate the risk ratio of liver cancer-specific death.

In the present study, the 1:1 PSM analysis (Caliper value setting: 0.1, method: nearest, R package: ‘MatchIt’ package) was performed by treatment. Matching factors included sex, age, disease stage, and other covariates. Conditional survival (CS) refers to the possibility of surviving for a certain number of years or months based on the survival for a certain period of time. It is a statistical method that reflects the dynamic characteristics of the prognosis after cancer diagnosis or treatment. A p-value < 0.05 was considered statistically significant and a two-sided test was performed.

Results

Baseline characteristics and survival analysis

Table 1 summarized the patients’ baseline demographic characteristics. A total of 2155 patients with HCC met the inclusion criteria. Among them, 1,972 (91.51%) patients underwent surgical treatment to primary tumor site, while only 183 (8.5%) patients underwent EBRT.

Table 1. Demographic characteristics of the patients.

Variables Total (n = 2155) EBRT (n = 183) Surgery (n = 1972) p
Survival months, Median (Q1, Q3) 32(19, 51) 21 (14, 33) 33 (20, 52.25) <0.001
OS, n (%) <0.001
0 1632 (76) 71 (39) 1561 (79)
1 523 (24) 112 (61) 411 (21)
DSS, n (%) <0.001
0 1855 (86) 113 (62) 1742 (88)
1 300 (14) 70 (38) 230 (12)
age, Median (Q1, Q3) 61 (56, 68) 64 (58, 72) 61 (56, 67) <0.001
Sex, n (%) 0.884
Female 581 (27) 48 (26) 533 (27)
Male 1574 (73) 135 (74) 1439 (73)
Race, n (%) <0.001
Black 251 (12) 17 (9) 234 (12)
Others 511 (24) 18 (10) 493 (25)
White 1393 (65) 148 (81) 1245 (63)
Marital, n (%) 0.039
Divorced/Separated 261 (12) 32 (17) 229 (12)
Married 1269 (59) 92 (50) 1177 (60)
Single/Unmarried 392 (18) 35 (19) 357 (18)
Widowed/Others 233 (11) 24 (13) 209 (11)
Diagnosis, n (%) 0.812
2012~2013 667 (31) 53 (29) 614 (31)
Time< = 2011 631 (29) 54 (30) 577 (29)
Time> = 2014 857 (40) 76 (42) 781 (40)
Chemotherapy, n (%) <0.001
NO 1610 (75) 90 (49) 1520 (77)
YES 545 (25) 93 (51) 452 (23)
Grade, n (%) <0.001
I 511 (24) 18 (10) 493 (25)
II 914 (42) 17 (9) 897 (45)
III~IV 272 (13) 11 (6) 261 (13)
Unknown 458 (21) 137 (75) 321 (16)
Age. cat, n (%) 0.022
~60 1004 (47) 70 (38) 934 (47)
60~ 1151 (53) 113 (62) 1038 (53)

The Kaplan–Meier plot was utilized to compare the OS and DSS. The DSS was the same for patients with or without chemotherapy, diagnosed at different times, or of different race and sex. As shown in Fig 1, patients <60 years, with grade I tumor, married or widowed, who underwent surgery, had longer OS and DSS than those >60 years, with a tumor grade III or IV, divorced or separated, who underwent EBRT. Patients who were diagnosed before 2011 had longer OS than those after 2014, but showed no difference in DSS. There were no differences in OS and DSS of patients with or without chemotherapy, irrespective of race and sex. Each variable fulfilled the PH (Proportion hypothesis) test (S1 and S2 Figs).

Fig 1. KM curve of DSS & OS.

Fig 1

In multivariate Cox analysis (Fig 2), age, tumor grade, and surgery persevered to be independently associated with better OS (hazards ratio [HR] = 1.328, 95% confidence interval [CI] [1.109, 1.59], p = 0.002), (HR = 1.987, 95% CI [1.482, 2.665], p < 0.001), (HR = 0.195, 95% CI [0.15, 0.255], p <0.001), respectively. These variables were also independently associated with better DSS (HR = 1.37, 95% CI [1.08, 1.739], p = 0.01), (HR = 2.453, 95% CI [1.671, 3.603], p <0.001), (HR = 0.166, 95% CI [0.117, 0.234], p <0.001), respectively, in matched population. The presence or absence of chemotherapy intake, time of diagnosis, marital status, race, and sex had no significant effect either on the OS or on the DSS.

Fig 2.

Fig 2

Multivariate Cox analysis of DSS (A) and OS (B).

Subgroup analysis and interaction test of COX proportional hazard model (Fig 3) shows that all patients can benefit from different treatments, and there is no difference between different groups, except for grade III and IV patients.

Fig 3.

Fig 3

Subgroup analysis and interaction test of DSS (A) and OS (B).

Competitive risk model

Cumulative risk curve in Fig 4 (‘Cmprsk’ package using R language) showed that the cumulative incidence was lower in the group <60 years (p <0.05) and underwent surgery than that in the group >60 years and underwent EBRT (p <0.001). There was no statistical difference of cumulative incidence in groups diagnosed at different times, of different race and sex, or with or without chemotherapy.

Fig 4. Cumulative risk curve & multivariate analysis of competitive risk model.

Fig 4

The variables of the competitive risk model were further studied by multivariate analysis (Fig 5). In summary, age >60 years vs. <60 years (HR = 1.241, 95% CI [1.002,1.537], p = 0.048), diagnosis time during or after 2014 vs. between 2012 and 2013 (HR = 0.719, 95% CI [0.533,0.97], p = 0.031), grade III and IV vs. grade I (HR = 2.168, 95% CI [1.544,3.045], p < 0.001), and surgery vs. EBRT (HR = 0.206, 95% CI [0.149,0.284], p <0.001) respectively, presented as independent factors of HCC patients.

Fig 5. Multivariate analysis of competitive risk model.

Fig 5

Subgroup analysis and interaction test of competitive risk model in Fig 6 shows that all patients can benefit from different treatments, and there is no difference between different groups, except for grade III and IV patients.

Fig 6. Subgroup analysis and interaction test of competitive risk model.

Fig 6

Propensity score matching

The PSM method was subsequently used to balance the baseline characteristics of the two groups of patients who underwent surgery and EBRT. After 1:1 PSM was used, all variables were well-balanced between the two groups of patients (Table 2). Density (before/after) and Hist (before/after) was used to test the balance of baseline data before and after PSM (S3 Fig).

Table 2. Baseline data table before and after PSM matching.

Unmatched
level Overall EBRT Surgery p test SMD
n 2155 183 1972
Age. cat, n (%) ~60 1004 (46.6) 70 (38.3) 934 (47.4) 0.022 0.185
60~ 1151 (53.4) 113 (61.7) 1038 (52.6)
Sex, n (%) Female 581 (27.0) 48 (26.2) 533 (27.0) 0.884 0.018
Male 1574 (73.0) 135 (73.8) 1439 (73.0)
Race, n (%) Black 251 (11.6) 17 (9.3) 234 (11.9) <0.001 0.437
Others 511 (23.7) 18 (9.8) 593 (25.0)
White 1393 (64.6) 148 (80.9) 1245 (63.1)
Marital, n (%) Divorced/Separated 261 (12.1) 32 (17.5) 229 (11.6) 0.039 0.215
Married 1269 (58.9) 92 (50.3) 1177 (59.7)
Single/Unmarried 392 (18.2) 35 (19.1) 357 (18.1)
Widowed/Others 233 (10.8) 24 (13.1) 209 (10.6)
Diagnosis, n (%) 2012~2013 667 (31.0) 53 (29.0) 614 (31.1) 0.812 0.05
Time< = 2011 631 (29.3) 54 (29.5) 577 (29.3)
Time> = 2014 857 (39.8) 76 (41.5) 781 (39.6)
Chemotherapy, n (%) NO 1610 (74.7) 90 (49.2) 1520 (77.1) <0.001 0.604
YES 545 (25.3) 93 (50.8) 452 (22.9)
Grade, n (%) I 511 (23.7) 18 (9.8) 493 (25.0) <0.001 1.482
II 914 (42.4) 17 (9.3) 897 (45.5)
III~IV 272 (12.6) 11 (6.0) 261 (13.2)
Unknown 458 (21.3) 137 (74.9) 321 (16.3)
Matched
Level Overall EBRT Surgery p test SMD
n 362 181 181
Age. cat, n (%) ~60 159 (43.9) 70 (38.3) 89 (49.2) 0.057 0.213
60~ 203 (56.1) 111 (61.3) 92 (50.8)
Sex, n (%) Female 119 (32.9) 47 (26.0) 72 (39.8) 0.007 0.297
Male 243 (67.1) 134 (74.0) 109 (60.2)
Race, n (%) Black 45 (12.4) 17 (9.4) 28 (15.5) 0.011 0.318
Others 50 (13.8) 18 (9.9) 32 (17.7)
White 267 (73.8) 146 (80.7) 121 (66.9)
Marital, n (%) Divorced/Separated 69 (19.1) 31 (17.1) 38 (21.0) 0.126 0.253
Married 171 (47.2) 92 (50.8) 79 (43.6)
Single/Unmarried 84 (23.2) 35 (19.3) 49 (27.1)
Widowed/Others 38 (10.5) 23 (12.7) 15 (8.3)
Diagnosis, n (%) 2012~2013 110 (30.4) 53 (29.3) 57 (31.5) 0.88 0.051
Time< = 2011 105 (29.0) 54 (29.8) 51 (28.2)
Time> = 2014 147 (40.6) 74 (40.9) 73 (40.3)
Chemotherapy, n (%) NO 167 (46.1) 90 (49.7) 77 (42.5) 0.206 0.144
YES 195 (53.9) 91 (50.3) 104 (57.5)
Grade, n (%) I 31 (8.6) 18 (9.9) 13 (7.2) 0.625 0.14
II 40 (11.0) 17 (9.4) 23 (12.7)
III~IV 21 (5.8) 11 (6.1) 10 (5.5)
Unknown 270 (74.6) 135 (74.6) 135 (74.6)

In the competing risk model, for both univariate and multivariate analysis, we found that surgery had a higher rate of survival improvement than EBRT (HR = 0.224, 95% CI, [0.139, 0.36], p <0.001) (Fig 7). However, age, sex, race, marital status, time of diagnosis, chemotherapy intake, and tumor grade were not risk factors for patient survival (all p >0.05).

Fig 7. Multi-factor forest diagram of competitive risk model after PSM.

Fig 7

After PSM, subgroup analysis and interaction test of competitive risk model (Fig 8) showed that patients of different ages, sexes, races, marital status, time of diagnosis, and whether receiving chemotherapy or not can all benefit from surgery and EBRT. The treatment benefit was higher in those who were < 60 years old, white, widowed/other, females, diagnosed during or after 2014, and underwent chemotherapy compared with that in other groups.

Fig 8. Subgroup analysis and interaction test of competitive risk model after PSM.

Fig 8

Fig 9A shows the given conditional survival of OS and DSS for patients who underwent surgery. For OS, the survival probability to live 0–6 years was 100%, 94%, 87%, 81%, 81%, 74%, and 71%, respectively. For DSS, the survival probability to live 0–6 years was 100%, 96%, 93%, 87%, 87%, 83%, and 80%, respectively. Fig 9B shows the given conditional survival of OS and DSS for patients who underwent EBRT. For OS, the survival probability to live 0–6 years was 100%, 78%, 56%, 34%, 28%, 28%, and 21%, respectively. For DSS, the survival probability to live 0–6 years was 100%, 84%, 69%, 52%, 49%, 49%, and 42%, respectively.

Fig 9.

Fig 9

Conditional survival of DSS and OS for patients underwent surgery (A) and EBRT (B).

Discussion

The main treatment approach for early-stage liver cancer patients is liver cancer resection. Patients with early, small-sized liver tumor who either reject or cannot be operated on can be treated with local external radiation [7]. Liver tumors are the second most sensitive tumors to radiotherapy, with moderate to high radiosensitivity, after tumor tissues that have extremely high radiosensitivity to bone marrow and lymphatic tissues [8]. EBRT mainly includes stereotactic body radiotherapy (SBRT), three-dimensional conformal radiotherapy (3DCRT), intensity modulated radiotherapy (IMRT), and volume modulated arc radiotherapy (VMAT). Protons and carbon ions are also used to treat patients with liver cancer, but are more expensive [9]. SBRT is the most successful approach for the treatment of small-sized liver cancer, with a main focus on early HCC [10]. For lesions of all sizes, SBRT showed a relatively high 1-year OS and a low incidence of acute grade 3+ complications in HCC [11]. The significance of SBRT in HCC treatment has always been proven, regardless of the size of the study population in well-designed phase II trials, being either a relatively small retrospective cohort or a large series [12]. Currently, radiation therapy has become an indispensable part of the comprehensive treatment of liver cancer [13]. In the guidelines of some countries such as South Korea [14], radiotherapy is listed as the priority treatment for patients with early, middle, and late stage HCC. However, it is used as a treatment alternative when other standard treatments in some guidelines, such as NCCN (National Committee on Computer Network), are not feasible [15]. Our results (78% 1-year OS after external beam radiation) are close to the 1-year overall survival rate of 73.6–81.1% reported in previous studies for the treatment of early-stage liver cancer. This indicates that EBRT has a good therapeutic effect on early-stage liver cancer [16]. Therefore, the aim of this study was to further evaluate the prognosis of patients with early-stage liver cancer undergoing either surgery or external radiation, to guide clinical decision-making.

The competitive risk model established in this study suggests that age, disease, time of diagnosis, tumor tissue grade, and treatment are all independent factors for the prognosis of liver cancer patients. This study also reported that patients < 60 years old, with delayed diagnosis, low histological grade, and who had undergone surgical treatment showed good prognosis. Surgery showed a higher survival rate than EBRT (HR = 0.224, 95% CI [0.139–0.36], p <0.001). After PSM, subgroup analysis and interaction test found that all patients can benefit from surgery and external radiation. The benefit of chemotherapy in female, white, widowed/other, <60 years old patients, and those with a diagnosis time during or after 2014 is greater than that of other groups.

Our study reports that surgery shows a higher survival rate among HCC patients than EBRT. After PSM, subgroup analysis and interaction test found that all HCC patients can benefit from surgery and external radiation. The group of white, widowed/other, female, < 60 years old patients, with a diagnosis time during or after 2014, and receiving chemotherapy showed a greater benefit than that of other groups.

Through the conditional survival rate, we found that as the survival time of liver cancer patients increased, the survival curve showed a slower decline in surgery than that of radiotherapy patients, and stabilized after about 3 years. The survival curve of radiotherapy patients dropped significantly within 4 years, and then stabilized thereafter.

The propensity ratio scoring method is one of the commonly used methods to control confounding factors in real-world research. Its basic principle is to express the influence of multiple confounding factors in a comprehensive propensity score to correct the imbalance of data between groups [17]. Previous studies have shown that significant risk factors for HCC recurrence mainly include HCC lesion size (especially >3 cm), etiology, serum albumin levels, and serum alpha-fetoprotein levels [18]. Factors affecting survival include patient’s age and Child Pugh staging. The patient’s age has also been considered to be related to the incidence of the disease and post-treatment complications [19]. Our study was a retrospective large-sample study, and used PSM to enhance credibility and reduce potential confounding factors and selection bias between the case group and the control group. Our study findings conformed with those of the previous studies, where PSM, subgroup analysis and interaction test of competitive risk model showed that the treatment benefit was higher in the group < 60 years old, female, widowed/others, white patients who underwent chemotherapy and were diagnosed during or after 2014.

By comparing the results of the traditional survival analysis COX model and the competitive risk model, a previous study [20]showed that the use of the COX model could not provide an accurate estimate of the impact value, because it only considered the results of a single factor, and thus might overestimate or underestimate the impact of the independent risk factors. If the proportion of competition events was >10%, using traditional methods could cause serious bias. On the other hand, a proportion of competition events <10% may have false positives or false negatives [21]. For survival analysis, competitive risk model can divide the end points of survival data into multiple categories and eliminate the impact of competitive events on prognosis research [22]; thus it is considered a more effective survival analysis model. Previous studies mostly used traditional survival analysis methods, ignoring the existence of competing events, and hence, the risk of death from cancer may be overestimated [23]. This study was a multi-center, large sample study of patients with stage I liver cancer based on the SEER database. The study included a total of 2155 cases and had a strong statistical power, which compensated for the shortcomings of the small sample size studies of general clinical research, and had high clinical reference value. In this study, 523 people died in the OS analysis, of which 300 people died in the DSS analysis, accounting for 57.36% of total deaths. Therefore, the proportion of deaths due to other competitive events was 42.64%, which was suitable for analysis using a competitive risk model to incorporate multiple factors, as shown in this study. The cumulative risk curve showed that there were significant differences between the two groups at different ages and with different treatments. However, there was no significant difference between the groups with respect to receiving chemotherapy, having different time of diagnosis, or belonging to different races and sexes, which further supported the superiority of our usage of the competitive risk model.

Generally, the survival rate post liver cancer resection is evaluated based on the date of surgery. However, this traditional survival curve may not provide an accurate prediction of long-term survival, mainly because the recurrence and mortality rates are generally the highest in the first few years after surgery. Survival rate is dynamic and is directly related to the duration of time between the beginning of the treatment course and the time of evaluation [24]. Estimates of survival time vary over time, thus conditional survival evaluation is a more meaningful way to evaluate long-term prognosis. It is calculated based on the patient’s survival time and is more relevant to the actual clinical practice because it can measure the patient’s survival risk over a certain period. Conditional probability analysis is increasingly used to analyze the long-term effects of tumor characteristics [25]and is particularly suitable for comparing the difference between immediate and late-stage survival benefits after treatment [26].

In this study, we evaluated DSS and OS in early-stage liver patients after surgery or external irradiation based on a large, multi-center database. The results showed that after 3 years of surgery or 4 years of external radiation, the decline in patients’ DSS and OS tends to be more stable as the survival time increases, which means that generally long-term cancer patients have better prognosis than newly diagnosed patients. This was similar to other studies [27], which showed that the impact of tumor-related factors on the long-term survival of liver cancer patients was diminished starting from the third year post surgery. This also showed that patients with early-stage liver cancer had the most survival-related events such as recurrence and metastasis within 3 years post-surgery or 4 years post external radiation. Close follow-up and re-examination are needed for timely treatment to reduce mortality. Previous studies [26] had shown that approximately 7% of patients undergoing surgical treatment for HCC with mild gross vascular infiltration were expected to be cured, and conditional survival probability analysis could also be used to guide the follow-up of such patients after surgery [15]. These findings were different from our study because their research object was liver cancer patients with mild gross vascular infiltration who showed a worse prognosis than that of stage I liver cancer patients. In addition, the number of cases in their study was limited to only a few hundred.

The current HCC NCCN guidelines recommend that all liver cancer patients should be followed up every 3–6 months for the first 2 years after surgery, but there is no optimal postoperative/post-radiotherapy follow-up strategy for patients with early-stage liver cancer. Conditional survival evaluation can provide more valuable information for the determination of subsequent strategies. On the other hand, DSS survival rate showed a slower decrease than OS after surgery and external radiation, indicating that other factors that affect the survival of liver cancer patients 3 years after surgery or 4 years after external radiation have become more important. Therefore, this study not only compares the difference in survival of patients with early-stage liver cancer after surgery and external radiation and the relationship between clinicopathological characteristics and prognosis, but also conducts for the first time a dynamic analysis of the survival of patients with early-stage liver cancer.

One of the limitations of this study is that most of the data collected by the SEER database were clinical indicators, excluding laboratory examinations, imaging examinations and others, thus the accuracy of the clinical TNM staging of patients without surgery needed to be improved. Second, there were some missing clinical indicators in the SEER database. Third, this study only conducted internal verification of the prognostic model, and we hoped to conduct further external verification to evaluate the applicability of the predictive model in the population in a more comprehensive manner. All of these shortcomings might affect the accuracy of the prognostic prediction model constructed in this study. In the future, more clinical studies are needed for further verification of the results.

In summary, this study is the first to analyze and study the prognosis model of early-stage liver cancer patients established in the SEER database based on the competitive risk model and conditional survival analysis, which introduces new ideas and methods for the study of predictive models. It can more comprehensively and accurately predict the prognosis of patients with early-stage liver cancer, provide important parameters for the prevention of tumor recurrence, and provide personalized treatment plans and prognostic judgments.

Supporting information

S1 Checklist. STROBE statement—checklist of items that should be included in reports of observational studies.

(DOC)

pone.0298014.s001.doc (180.5KB, doc)
S1 Fig. PH test of each variable for DSS.

(JPG)

pone.0298014.s002.jpg (1.4MB, jpg)
S2 Fig. PH test of each variable for OS.

(JPG)

pone.0298014.s003.jpg (1.6MB, jpg)
S3 Fig. Balance test before and after PSM.

(JPG)

pone.0298014.s004.jpg (882.2KB, jpg)

Acknowledgments

We are grateful for the support of Jiangsu Provincial Health Commission key project (K2023005). We also thank the Jiangsu Provincial Medical Youth Talent (QNRC2016816), the Project of Jiangsu Provincial Health and Family Planning Commission (H2018090).

Data Availability

All relevant data are within the manuscript and its Supporting Information files.

Funding Statement

National Natural Science Foundation of China (81827805), National Key R&D Program of China (2018YFA0704100, 2018YFA0704104). The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.

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Decision Letter 0

Calogero Casà

17 Apr 2023

PONE-D-23-01992Prognostic Difference Between Surgery and External Radiation in Patients with Stage I Liver Cancer Based on Competitive Risk Model and Conditional Survival RatePLOS ONE

Dear Dr. Chen,

Thank you for submitting your manuscript to PLOS ONE. After careful consideration, we feel that it has merit but does not fully meet PLOS ONE’s publication criteria as it currently stands. Therefore, we invite you to submit a revised version of the manuscript that addresses the points raised during the review process.

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Calogero Casà

Academic Editor

PLOS ONE

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[Note: HTML markup is below. Please do not edit.]

Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

1. Is the manuscript technically sound, and do the data support the conclusions?

The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented.

Reviewer #1: Yes

Reviewer #2: Partly

**********

2. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #1: Yes

Reviewer #2: Yes

**********

3. Have the authors made all data underlying the findings in their manuscript fully available?

The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #1: Yes

Reviewer #2: No

**********

4. Is the manuscript presented in an intelligible fashion and written in standard English?

PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here.

Reviewer #1: Yes

Reviewer #2: Yes

**********

5. Review Comments to the Author

Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)

Reviewer #1: it might be helpful for the clinician to specify which radiotherapy treatment schedules to propose for patients with early stage hepatocarcinoma. This is useful to guide the surgeon and radiation oncologist on which treatment schedules and techniques have achieved better results.

Reviewer #2: The authors performed an analysis of a large number of patients with liver cancer from SEER dataset assessing the role of surgery and radiotherapy in this subset.

The theme is of interest, but the analysis should consider some hints that could relate to actual treatment options.

Major revisions:

I suggest removing the marital status in the description of results.

The authors should add information about the surgical approach; regarding EBRT they should refer to the total dose and the delivery technique (3DCRT or VMAT or SBRT or Particle therapy). Regarding these variables, they should consider their impact and give some hints in the discussion section.

When considering the different time interval for surgery and the related different outcomes, the authors should provide considerations about it (different techniques?).

Also, some language tips:

- Line 69: replace “fatality” with “mortality”.

- Line 69: remove “management”.

- Line 72: replace “management” with “treatment”.

- Line 92: please provide definition of “DSS”.

**********

6. PLOS authors have the option to publish the peer review history of their article (what does this mean?). If published, this will include your full peer review and any attached files.

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Reviewer #1: No

Reviewer #2: No

**********

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PLoS One. 2024 Mar 28;19(3):e0298014. doi: 10.1371/journal.pone.0298014.r002

Author response to Decision Letter 0


15 Sep 2023

1. Please ensure that your manuscript meets PLOS ONE's style requirements, including those for file naming. The PLOS ONE style templates can be found at

https://journals.plos.org/plosone/s/file?id=wjVg/PLOSOne_formatting_sample_main_body.pdf and

https://journals.plos.org/plosone/s/file?id=ba62/PLOSOne_formatting_sample_title_authors_affiliations.pdf

Reply:Thanks for the editor's suggestion, we have checked that our manuscript meet the requirements of PLOS ONE.

2. Thank you for stating the following financial disclosure:

“National Natural Science Foundation of China (81827805), National Key R&D Program of China (2018YFA0704100, 2018YFA0704104)”

Please state what role the funders took in the study.  If the funders had no role, please state: "The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript."

If this statement is not correct you must amend it as needed.

Please include this amended Role of Funder statement in your cover letter; we will change the online submission form on your behalf.

Reply:Thanks for the editor's suggestion. We have added instructions to the Fund section as requested.

3. In your Data Availability statement, you have not specified where the minimal data set underlying the results described in your manuscript can be found. PLOS defines a study's minimal data set as the underlying data used to reach the conclusions drawn in the manuscript and any additional data required to replicate the reported study findings in their entirety. All PLOS journals require that the minimal data set be made fully available. For more information about our data policy, please see http://journals.plos.org/plosone/s/data-availability.

Upon re-submitting your revised manuscript, please upload your study’s minimal underlying data set as either Supporting Information files or to a stable, public repository and include the relevant URLs, DOIs, or accession numbers within your revised cover letter. For a list of acceptable repositories, please see http://journals.plos.org/plosone/s/data-availability#loc-recommended-repositories. Any potentially identifying patient information must be fully anonymized.

Important: If there are ethical or legal restrictions to sharing your data publicly, please explain these restrictions in detail. Please see our guidelines for more information on what we consider unacceptable restrictions to publicly sharing data: http://journals.plos.org/plosone/s/data-availability#loc-unacceptable-data-access-restrictions. Note that it is not acceptable for the authors to be the sole named individuals responsible for ensuring data access.

We will update your Data Availability statement to reflect the information you provide in your cover letter.

Reply:Thanks to the editor's suggestion, we have added a description of data acquisition in the corresponding section as“Raw data are made available on SEER(https://seer.cancer.gov/) database”.

4. We note that you have stated that you will provide repository information for your data at acceptance. Should your manuscript be accepted for publication, we will hold it until you provide the relevant accession numbers or DOIs necessary to access your data. If you wish to make changes to your Data Availability statement, please describe these changes in your cover letter and we will update your Data Availability statement to reflect the information you provide.

Reply:Thanks to the editor's suggestion, Raw data are made available on SEER (https://seer.cancer.gov/) database.

5. PLOS requires an ORCID iD for the corresponding author in Editorial Manager on papers submitted after December 6th, 2016. Please ensure that you have an ORCID iD and that it is validated in Editorial Manager. To do this, go to ‘Update my Information’ (in the upper left-hand corner of the main menu), and click on the Fetch/Validate link next to the ORCID field. This will take you to the ORCID site and allow you to create a new iD or authenticate a pre-existing iD in Editorial Manager. Please see the following video for instructions on linking an ORCID iD to your Editorial Manager account: https://www.youtube.com/watch?v=_xcclfuvtxQ

Reply:Thanks to the editor's suggestion, I have provided the ORCID iD.

6. Your ethics statement should only appear in the Methods section of your manuscript. If your ethics statement is written in any section besides the Methods, please delete it from any other section.

Reply:Thanks to the editor's suggestion, I have made corresponding modifications.

[Note: HTML markup is below. Please do not edit.]

Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

1. Is the manuscript technically sound, and do the data support the conclusions?

The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented.

Reviewer #1: Yes

Reviewer #2: Partly

2. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #1: Yes

Reviewer #2: Yes

3. Have the authors made all data underlying the findings in their manuscript fully available?

The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #1: Yes

Reviewer #2: No

4. Is the manuscript presented in an intelligible fashion and written in standard English?

PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here.

Reviewer #1: Yes

Reviewer #2: Yes

5. Review Comments to the Author

Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)

Reviewer #1: it might be helpful for the clinician to specify which radiotherapy treatment schedules to propose for patients with early stage hepatocarcinoma. This is useful to guide the surgeon and radiation oncologist on which treatment schedules and techniques have achieved better results.

Reviewer #2: The authors performed an analysis of a large number of patients with liver cancer from SEER dataset assessing the role of surgery and radiotherapy in this subset.

The theme is of interest, but the analysis should consider some hints that could relate to actual treatment options.

Major revisions:

I suggest removing the marital status in the description of results.

Reply:Thanks for the reviewer's suggestion. Previous studies have found that marital status may have an impact on the incidence of liver cancer (PMID: 34774036, PMID: 33428602), so we included marital status in the analysis. At the same time, we also carried out a new analysis after removing the variable of marital status. In the multi-factor regression analysis, the main results and conclusions of this study were not affected without correcting marital status, that is Surgery was better than EBRT for patients with stage I liver cancer (as shown in the figure below). This not only proves the robustness of our conclusions, but also provides a basis for including marital status in our analysis.

The authors should add information about the surgical approach; regarding EBRT they should refer to the total dose and the delivery technique (3DCRT or VMAT or SBRT or Particle therapy). Regarding these variables, they should consider their impact and give some hints in the discussion section.

When considering the different time interval for surgery and the related different outcomes, the authors should provide considerations about it (different techniques?).

Reply:Thanks for the reviewer's suggestion. Based on the SEER database, this study found whether surgery and EBRT were disease-specific death factors in Patients with Stage I Liver Cancer through competitive risk model and correction of bias caused by competitive events, and found that the survival rate of surgery was higher than that of EBRT. Unfortunately, SEER did not record the specific information of surgery entry path, time and EBRT dose. Therefore, for patients who also received treatment, the impact of treatment interval and specific treatment methods on patient prognosis has not been studied. However, these variables are worth studying, so we have discussed them in the discussion section. Meanwhile, we are also conducting a prospective cohort study, which cannot be completed in a short time due to follow-up and other work in the cohort study. We are working hard to promote the above work and hope to carry out a series of research results in the future.

Also, some language tips:

- Line 69: replace “fatality” with “mortality”.

- Line 69: remove “management”.

- Line 72: replace “management” with “treatment”.

- Line 92: please provide definition of “DSS”.

Reply:Thanks for the reviewer's suggestion. I have made modifications according to the above requirements.

Attachment

Submitted filename: Response to Reviewers.doc

pone.0298014.s005.doc (1.6MB, doc)

Decision Letter 1

Calogero Casà

17 Jan 2024

Prognostic Difference Between Surgery and External Radiation in Patients with Stage I Liver Cancer Based on Competitive Risk Model and Conditional Survival Rate

PONE-D-23-01992R1

Dear Dr. Chen,

Good morning. We’re pleased to inform you that your manuscript has been judged scientifically suitable for publication and will be formally accepted for publication once it meets all outstanding technical requirements.

Within one week, you’ll receive an e-mail detailing the required amendments. When these have been addressed, you’ll receive a formal acceptance letter and your manuscript will be scheduled for publication.

An invoice for payment will follow shortly after the formal acceptance. To ensure an efficient process, please log into Editorial Manager at http://www.editorialmanager.com/pone/, click the 'Update My Information' link at the top of the page, and double check that your user information is up-to-date. If you have any billing related questions, please contact our Author Billing department directly at authorbilling@plos.org.

If your institution or institutions have a press office, please notify them about your upcoming paper to help maximize its impact. If they’ll be preparing press materials, please inform our press team as soon as possible -- no later than 48 hours after receiving the formal acceptance. Your manuscript will remain under strict press embargo until 2 pm Eastern Time on the date of publication. For more information, please contact onepress@plos.org.

Kind regards,

Calogero Casà

Academic Editor

PLOS ONE

Additional Editor Comments (optional):

all comments were considered and the text was appropriately modified

Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

1. If the authors have adequately addressed your comments raised in a previous round of review and you feel that this manuscript is now acceptable for publication, you may indicate that here to bypass the “Comments to the Author” section, enter your conflict of interest statement in the “Confidential to Editor” section, and submit your "Accept" recommendation.

Reviewer #2: All comments have been addressed

Reviewer #3: (No Response)

**********

2. Is the manuscript technically sound, and do the data support the conclusions?

The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented.

Reviewer #2: Yes

Reviewer #3: Yes

**********

3. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #2: N/A

Reviewer #3: N/A

**********

4. Have the authors made all data underlying the findings in their manuscript fully available?

The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #2: No

Reviewer #3: Yes

**********

5. Is the manuscript presented in an intelligible fashion and written in standard English?

PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here.

Reviewer #2: Yes

Reviewer #3: Yes

**********

6. Review Comments to the Author

Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)

Reviewer #2: The authors have provided the requested revision to the manuscript. The paper is suitable for acceptance.

Reviewer #3: the only possible issue relates to the comparison of a very different number of patients in terms of size, 1972 for surgery and and 183 for EBRT; therefore, the comparison may not be totally reliable

**********

7. PLOS authors have the option to publish the peer review history of their article (what does this mean?). If published, this will include your full peer review and any attached files.

If you choose “no”, your identity will remain anonymous but your review may still be made public.

Do you want your identity to be public for this peer review? For information about this choice, including consent withdrawal, please see our Privacy Policy.

Reviewer #2: No

Reviewer #3: No

**********

Acceptance letter

Calogero Casà

19 Mar 2024

PONE-D-23-01992R1

PLOS ONE

Dear Dr. Chen,

I'm pleased to inform you that your manuscript has been deemed suitable for publication in PLOS ONE. Congratulations! Your manuscript is now being handed over to our production team.

At this stage, our production department will prepare your paper for publication. This includes ensuring the following:

* All references, tables, and figures are properly cited

* All relevant supporting information is included in the manuscript submission,

* There are no issues that prevent the paper from being properly typeset

If revisions are needed, the production department will contact you directly to resolve them. If no revisions are needed, you will receive an email when the publication date has been set. At this time, we do not offer pre-publication proofs to authors during production of the accepted work. Please keep in mind that we are working through a large volume of accepted articles, so please give us a few weeks to review your paper and let you know the next and final steps.

Lastly, if your institution or institutions have a press office, please let them know about your upcoming paper now to help maximize its impact. If they'll be preparing press materials, please inform our press team within the next 48 hours. Your manuscript will remain under strict press embargo until 2 pm Eastern Time on the date of publication. For more information, please contact onepress@plos.org.

If we can help with anything else, please email us at customercare@plos.org.

Thank you for submitting your work to PLOS ONE and supporting open access.

Kind regards,

PLOS ONE Editorial Office Staff

on behalf of

Dr. Calogero Casà

Academic Editor

PLOS ONE

Associated Data

    This section collects any data citations, data availability statements, or supplementary materials included in this article.

    Supplementary Materials

    S1 Checklist. STROBE statement—checklist of items that should be included in reports of observational studies.

    (DOC)

    pone.0298014.s001.doc (180.5KB, doc)
    S1 Fig. PH test of each variable for DSS.

    (JPG)

    pone.0298014.s002.jpg (1.4MB, jpg)
    S2 Fig. PH test of each variable for OS.

    (JPG)

    pone.0298014.s003.jpg (1.6MB, jpg)
    S3 Fig. Balance test before and after PSM.

    (JPG)

    pone.0298014.s004.jpg (882.2KB, jpg)
    Attachment

    Submitted filename: Response to Reviewers.doc

    pone.0298014.s005.doc (1.6MB, doc)

    Data Availability Statement

    All relevant data are within the manuscript and its Supporting Information files.


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