A Comprehensive Analysis of the Effect of Histological Subtypes on the Survival Probability of Kidney Carcinoma Patients: A Hypertabastic Survival Analysis

The purpose of this study is two-fold. First, to find out whether the histological subtypes can serve as an independent prognostic factor for kidney carcinoma; and second, whether it’s role can be maintained when we control for confounders. Using National Cancer Institute data from 19752016, we have modeled the impact of histological subtypes on the survival probability of kidney carcinoma patients. A total of 134,150 individuals were examined from the Surveillance, Epidemiology, and End Results program (SEER). The study variables are age, race/ethnicity, gender, tumor grade, type of surgery, geographical location of patient and stage of disease. We have applied the Hypertabastic proportional hazards survival model to analyze the survival time of patients diagnosed with kidney carcinoma in order to explore the effect of histological subtypes on their survival probability. In particular, our intention was to assess the relationship between the histological subtypes and tumor stage, grade, and type of surgery. Our results indicate that histological subtypes can serve as both an independent prognostic factor as well as when controlled for confounders (P < 0.001). Other significant variables in the model were age, race, histology, region, stage, grade, and surgery type (all having P < 0.001).

cal subtypes on the survival probability of patients diagnosed with kidney carcinoma from 1975 to 2016. The clinical, socio-economic, and histological study variables are age, race/ ethnicity, sex, tumor grade, type of surgery, geographical location of patient and stage of disease. This retrospective study examined a total of 134,150 individuals from the Surveillance, Epidemiology, and End Results program (SEER) data base of whom 85,324 were males and 48,826 were females. We applied the multivariable Hypertabastic proportional hazards survival model [22][23][24][25][26] to analyze the survival time of patients diagnosed with kidney carcinoma in order to explore the histological differences in their survival probabilities and complex relationship between histological subtypes and each of the significant factors such as tumor grade, stage, and type of surgery. This parametric method is flexible and can accommodate different hazard shapes and enable the researcher to better understand the effect of histological subtypes on the survival time of kidney carcinoma patients. Study results will be used to train medical students in understanding the extent of histological subtypes as a prognostic factor for patients diagnosed with kidney carcinoma.

Results
A review of our data indicates that the overall mean age for our cohort was 61.51 years with a standard deviation of 12.59 years. The mean age for males was 61.29 years with a standard deviation of 12.23 years and median of 62 years. On the contrary, the mean age for females was 61.89 with standard deviation of 13.19 years and median of 63 years. Data reveals 57.8% of patients had adenocarcinoma with mixed subtype, 19.7% had papillary adenocarcinoma NS, 11.1% suffered from clear cell adenocarcinoma, 3.9% had renal cell adenocarcinoma, 2.5% were identified as having chromophobe RCC, 1.1% had sarcomatoid RCC, and only 0.7% were diagnosed with granular cell carcinoma. These seven histological subtypes include approximately 97% of the individuals in our study. The remaining 59 histological subtypes accounted for only 3% of the study's patients and their group is named "other histological types." Table 1 provides the name of all histological subtypes considered in this study together with their corresponding frequency and median survival time.
For all histological subtypes considered in our study, the percentage of males was higher than females (almost twice come large but tend to stay localized. There is no significant difference in the incidence rates of chromophobe RCC tumors between males and females, with the survival probability of this cancer being quite high [6,7]. Papillary RCC accounts for 10-15% of patients diagnosed with RCC. Clear cell is the most common form of RCC.
Individuals who have been diagnosed with papillary RCC have lower risk of death, when compared to clear cell RCC [8]. Sarcomatoid RCC tends to grow more quickly than other types of kidney cancer. This rapid growth, makes the treatment more difficult and increases the likelihood of becoming a metastatic cancer [9]. Kang, et al. analyzed the conditional survival probability of patients with distant RCC who were treated with tyrosine kinase inhibitor therapy and identified predictors of conditional survival [10]. Prognostic influence of histological subtypes and grading on the survival probability of RCC patients have long been studied in literature [11][12][13]. Genomic and survival data analyses were used to find the association between sirtuin family members and clear cell RCC [14]. Nguyen, et al. investigated the effect of histological subtypes on the survival of patients diagnosed with RCC, and found histological subtypes to be an important prognostic factor [15,16]. Hematology and histology play a vital role as predictive measures of RCC [17]. Teloken, et al. evaluated the effect of histological subtypes on patients diagnosed with localized RCC and concluded that clear cell RCC was a prognostic factor for patients who underwent surgery [18]. Kappa statistics were used to investigate the concordance between tumor histological subtypes at their original point of diagnosis and after slide revision [19]. A study by Cai, et al. investigated the effect of age on the survival probability of patients with localized RCC who underwent radical nephrectomy and found older age is associated with lower survival probability [20]. Carrasco, et al. studied the impact of histology on the survival of patients diagnosed with distant RCC who underwent cytoreductive nephrectomy [21], and Wagner, et al. compared the risk of death of clear cell RCC patients with those diagnosed with papillary RCC [8]. Both Carrasco and Wagner found the significance of histological subtypes in the treatment of RCC patients.

Methods
In our study, we have analyzed the impact of histologi-

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Freq Median Survival (Month)

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Code  had clear cell adenocarcinoma and were Asian respectively. Figure 1 illustrates the racial distribution of eight histological subtypes for males and females.

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The stage of tumor helps in understanding the seriousness of kidney carcinoma. It improves estimation of prognosis and will eventually assist health care providers in their plan of treatment in order to increase the survival of their patients. Our data reveals that 74% of patients had localized, 17.3% had regional, and 8.7% had distant tumor stage. As indicated in Table 2, within all tumor stages, the majority of patients were diagnosed with clear cell adenocarcinoma. Within localized tumor stage, the lowest percentage of patients were diagnosed with sarcomatoid RCC; and within regional tu-as high in males as in females in most cases  The lowest percentage among these three racial groups was granular cell carcinoma. Although the percentage of patients diagnosed with clear cell adenocarcinoma for all racial groups was highest when compared with all histological subtypes, the percentages of Whites, Asian/Pacific Islanders, and Hispanics were approximately 1.6, 1.9, and 1.9 times higher than that of African Americans, respectively. Among all racial groups, African Americans had the lowest percentage of clear cell adenocarcinoma. Although African Americans only accounted for 11.2 percent of our data, they were vastly overrepresented in those diagnosed with papillary adenocarcinoma as well as those with adenocarcinoma with mixed subtypes.
The regional distribution of patients residing in the Pacific Coast, East, Northern Plains, and Southwest was 45.5%, 39.4%, 10.8%, and 4.4% respectively. The percentage of patients diagnosed with clear cell adenocarcinoma across all regions was at least 50%; whereby the lowest percentage across all regions belonged to patients who were diagnosed mor stage, the lowest percentage belonged to granular cell carcinoma. Chromophobe RCC and granular cell carcinoma had the lowest percentages of patients within distant tumor stage. With the exception of sarcomatoid RCC, the number of patients diagnosed with localized tumor stage was the highest among all histological subtypes. Among sarcomatoid RCC patients, the percentage diagnosed with distant tumor stage was the highest.
The racial composition of our patients' data is comprised of 13.3% Hispanic, 5% Asian/Pacific Islanders, 11.2% African American, and 70.5% White. Among African Americans, the percentage of patients diagnosed with clear cell adenocarcinoma was highest, followed by papillary adenocarcinoma NOS, and renal cell adenocarcinoma; however, granular cell carcinoma had the lowest percentage, as seen in Table 3. Among Whites, Asian/Pacific Islanders, and Hispanics, the percentage of patients diagnosed with clear cell adenocarcinoma was highest, followed by renal cell adenocarcinoma.   Table 5.
The distribution of surgery types were as follows: 4% had no surgery, 1% had cryosurgery 13 (local tumor destruction, NOS), 0.6% had thermal ablation, 1% had cryosurgery 23 (any combination of local tumor excision, polypectomy, or excisional therapy, NOS), 27.5% had partial nephrectomy or with granular cell carcinoma. As shown in Table 4, the majority of patients diagnosed with renal cell adenocarcinoma were from the East region. Within granular cell carcinoma patients, 27.3% were from the East region, whereas 57% were from the Pacific Coast region. East had the highest percentage of renal cell adenocarcinoma, papillary adenocarcinoma NOS, and other histological subtypes, whereas Pacific Coast had the highest percentage for the remaining subtypes.
The distribution of tumor grade was as follows: 50.6% moderately differentiated, 28.2% poorly differentiated, 13.5% well differentiated, and 7.6% undifferentiated. Among all tumor grades, clear cell adenocarcinoma had the highest percentage of patients, followed by renal cell adenocarcinoma. For all tumor grades except undifferentiated, papillary adenocarcinoma had the third highest percentage of patients. For undifferentiated tumor grade, the highest percentage belonged to clear cell adenocarcinoma followed by renal cell carcinoma and sarcomatoid RCC, respectively. For   Table 6.
Age, race, histology, stage, region, grade, and surgery type were found to be statistically significant (P < 0.001). Gender was not a significant factor (P = 0.306). African Americans had significantly lower survival probabilities followed by Hispanics, Asian/Pacific Islanders and Whites. There was no statistically significant difference between survival probability of Asian/Pacific Islanders and Whites (P = 0.208). African Americans had the highest percentage among all racial groups in the following histological types: Papillary adenocarcinoma (27.2%), renal cell adenocarcinoma (21.4%), chromophobe RCC (4.7%), adenocarcinoma with mixed subtypes (4.6%), and other carcinomas (4.2%). In addition, African Americans had the highest percentage of no surgery (4.7%), complete nephrectomy (8.8%), nephrectomy/ureterectomy (1%), poorly differentiated (30.1%) cancer type, and localized (81.1%) tumor stage within race. Asian/Pacific Islanders had the highest distant (10.2%) tumor stage, while Hispanics had the highest regional (18.4%) tumor stage. The 5-year overall percentage of patients who survived was 93.8%. Figure 2 shows the survival probability curves as a function of survival time and the 3D survival probabilities as a function of survival time and age for eight histological subtypes. Sarcomatoid RCC had the worst prognosis, when compared with other subtypes. The chromophobe RCC patients had the best probability of survival. The hazard ratio of sarcomatoid RCC relative to chromophobe RCC was 4.342, as indicated in Figure 2.
Similarly, Figure 3 illustrates the survival probabilities and hazard ratios for tumor stage. Distant stage had the worst probability of survival, followed by regional. The best survival probability was for the localized tumor stage. The slope of the survival curve for patients diagnosed with distant stage is much higher when compared with localized and regional stages. Patients with distant tumor stage had a 14.04-fold higher rate of death when compared to patients with localized tumor stage. The hazard ratio of undifferentiated to well differentiated tumor grade was 3.244. Figure 5 reveals that patients treated with partial nephrectomy or partial ureterectomy had the highest survival probability, followed by cryosurgery 13, thermal ablation, cryosurgery 23, complete nephrectomy, other types     Survival curves and hazard ratios for racial groups are shown in Figure 7. The lowest survival probability belonged to African Americans, followed by Hispanics, Asian/Pacific Islanders, and Whites. We found a significant difference between the survival probability of African Americans when compared with Whites and Asian/Pacific Islanders. There was no significant difference between the survival probabilities of Whites and Asian/Pacific Islanders. Also, there was no difference between the survival probability of African Americans and Hispanics. The rate of death for African Americans was of surgery, radical nephrectomy, nephrectomy/ureterectomy, any nephrectomy, and no surgery. By far, patients that did not undergo surgery had the worst survival probability. The speed of decline in survival probability for those patients who refused surgery was highest, when compared with those who had any type of surgery at every time point. For every 100 deaths associated with patients who underwent partial nephrectomy or ureterectomy, there will be 885 deaths associated with patients who did not undergo any type of surgery.
In spite of region being an overall significant factor (P < 0.001), a further examination of Figure 6 reveals that there was no significant difference in survival probability in East and Southwest. In addition, there was no significant difference be-    Similarly, Table 8 shows the 5-and 10-year survival probabilities for a typical male living in the East region diagnosed with localized stage, well differentiated grade, and underwent partial nephrectomy or partial ureterectomy surgery; and the survival probabilities were above 93% across all histological subtypes and racial groups. In addition, the survival probabilities for females under the same conditions as males seen in Table 7 and Table 8 had similar results and were excluded from this paper. Table 9 describes the survival probabilities of male patients living in the East region diagnosed with localized stage, poorly differentiated grade, and underwent radical nephrectomy. Although not shown here, similar results were found for females.

Discussion
Our analysis of the 134,150 patients who were diagnosed with kidney carcinoma in the United States revealed that histological subtypes play an important role both when used as the sole predictor in the survival model, as well as when con-15% higher relative to Whites, as indicated in Figure 1.
A comparison of median survival times of all categories of model variables, revealed that patients who did not undergo any type of surgery had the lowest median survival time, as indicated by Figure 8. The next lowest median survival time belonged to patients who had sarcomatoid RCC followed closely by individuals who had distant tumor stage. By far, patients who were diagnosed with granular cell carcinoma had the highest median survival time. The 5-and 10-year survival probabilities are depicted for a typical male living in the East region diagnosed with distant stage, undifferentiated grade, and underwent partial nephrectomy or partial ureterectomy surgery, embodied in Table 7.
Male patients diagnosed with sarcomatoid RCC, as indicated in Table 7     when compared with all histological subtypes, the percentages of Whites, Asian/Pacific Islanders, and Hispanics were approximately 1.6, 1.9, and 1.9 times higher than that of African Americans, respectively.
Sarcomatoid RCC patients had a very low survival probability when compared to chromophobe RCC patients. For every 100 deaths due to chromophobe RCC, there will be 434 deaths for sarcomatoid RCC at each time point. Most studies have concentrate on few histological subtypes [15,21,28]. Those afflicted with sarcomatoid RCC had the lowest median survival time of any other category other than those who had no surgery. Data showed patients with this histological subtype tended to be associated with regional and distant stages, suggesting that patients are diagnosed late or difficult to diagnose [29]. Clear cell adenocarcinoma is by far the leading cancer type in our study, accounting for over half of all patients. The authors suggest more research should be done on these subtypes due to their severity and large frequency.
Overall, the Hypertabastic proportional hazard survival model revealed that age, race, histology, stage, region, grade, and type of surgery were significant factors in predicting the survival probability of patients diagnosed with kidney carcinoma. Our results indicated that Whites had the highest probability of surviving death due to kidney carcinoma, followed by Asian/Pacific Islanders and Hispanics. African Americans had the lowest overall survival probabilities. Among histological subtypes, chromophobe renal cell adenocarcinoma had the highest survival probability followed by clear cell adenocarcinoma. The lowest survival probability was associated with sarcomatoid RCC. Females had a slightly higher survival rate when compared to males across race, although the difference was not statistically significant.
This study obtained appropriate variables from a database consistently maintaining current and reliable big data. Furthermore, the results will help to further research in needed areas. The Hypertabastic survival model used here has flexibility in shaping hazard curves when compared to classical models [23,26]. One of the limitations in this study is that patients in the SEER database tend to be urban and belong to a lower socioeconomic status [30]. The authors believe that this paper will assist health care providers in making wise decisions in the future treatment of kidney carcinoma patients by examining the histological subtype and its association with tumor stage, grade, and type of surgery.