Defective 3-parameter Gompertz model with frailty term for estimating cure fraction in survival data

Hajizadeh, Nastaran; Baghestani, Ahmad Reza; Pourhoseingholi, Mohamad Amin; Maboudi, Ali Akbar Khadem

doi:10.1080/10543406.2022.2080689

Cited by 5 publications

(8 citation statements)

References 31 publications

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“…The survival function of Gompertz 3-parameter distribution is as follows[15]: Here, α and η are shape parameters and belong to real values, T is survival time.…”

Section: Methodsmentioning

confidence: 99%

“…The cure fraction or cure rate of the DGD model is calculated based on the following formula[15]: where p is the cure rate parameter.…”

Section: Methodsmentioning

confidence: 99%

“…The cure fraction or cure rate of the DGD model is calculated based on the following formula(Hajizadeh et al, 2023): …”

Section: Methodsmentioning

confidence: 99%

“…this issue is a reason for the difference between the common method of cox and the defective 3-parameter Gompertz model. It could be applied to kidney cancer data to gain a better understanding of its effectiveness [15]. This model is important because the majority of studies have focused on identifying SRGs and hazard disease-related gene combinations, while CSRGs have been largely ignored.…”

Section: Introductionmentioning

confidence: 99%

“…It’s proposed by Haji Zadeh and Baghestani (2022). It examines the impact of variables that resulted in risk-free subjects and cure rate (Hajizadeh et al, 2023). This model is important because of the majority of studies have focused on identifying SRGs and hazard disease-related gene combinations, while CSRGs have been largely ignored.…”

Section: Introductionmentioning

confidence: 99%

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Identification Cure Hub Genes of Chromophobe Cell Renal Carcinoma : A study based on Weighted Gene Co-expression Network Analysis (WGCNA) and the Cure Defective Models

Ahmadian,

Molavi,

Baghestani

et al. 2023

Preprint

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Renal cell carcinoma (RCC) is a common type of malignant tumor in the urinary system, with a high incidence rate and poor prognosis. It is frequently observed that a substantial proportion of patients who respond favorably to treatment appear to be free of symptoms in long-term follow-up and may be regarded as 'cured.' This study aimed to identify key genes and pathways associated with RCC using WGCNA and the 3-parameter defective Gompertz model as a cure model for identifying targeted therapeutic genes. Six key modules and genes related to cancer stage, pathology, metastasis, status, and overall survival were identified using WGCNA, and hub genes were identified using the PPI network. Two methods, Cox regression and the defective Gompertz model, were used to identify survival-related genes (SRGs) and cured survival-related genes (CSRGs) in RCC. Of the 14 hub genes identified, 10 were common between the defective 3-parameter Gompertz and Cox models. six genes (NCAPG, TTK, DLGAP5, TOP2A, BUB1B, and BUB1) of them exhibited the highest area under the curve (AUC) values. Additionally, the defective 3-parameter Gompertz model calculated the min and max expression values for the cure rate, and it was found that six genes (TTK, KIF20A, DLGAP5, BUB1, AURKB, and CDC45) exhibited a strong reduction in the cure rate at their maximum expression levels. The results suggest that targeting these genes may hold promise as potential therapeutic strategies for improving treatment outcomes in RCC patients. The identified hub genes also showed excellent prognostic value and potential use as diagnostic biomarkers. This study provides new insights into the molecular mechanisms underlying RCC and highlights the potential clinical significance of targeting specific genes and pathways using the defective 3-parameter Gompertz model.

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“…The survival function of Gompertz 3-parameter distribution is as follows[15]: Here, α and η are shape parameters and belong to real values, T is survival time.…”

Section: Methodsmentioning

confidence: 99%

“…The cure fraction or cure rate of the DGD model is calculated based on the following formula[15]: where p is the cure rate parameter.…”

Section: Methodsmentioning

confidence: 99%

“…The cure fraction or cure rate of the DGD model is calculated based on the following formula(Hajizadeh et al, 2023): …”

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%