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Comparative Study
. 2007 Oct 26:4:40.
doi: 10.1186/1742-4682-4-40.

Hypertabastic survival model

Mohammad A Tabatabai  1 , Zoran Bursac, David K Williams, Karan P Singh
Affiliations
Comparative Study

Hypertabastic survival model

Mohammad A Tabatabai et al. Theor Biol Med Model. .

Abstract

A new two-parameter probability distribution called hypertabastic is introduced to model the survival or time-to-event data. A simulation study was carried out to evaluate the performance of the hypertabastic distribution in comparison with popular distributions. We then demonstrate the application of the hypertabastic survival model by applying it to data from two motivating studies. The first one demonstrates the proportional hazards version of the model by applying it to a data set from multiple myeloma study. The second one demonstrates an accelerated failure time version of the model by applying it to data from a randomized study of glioma patients who underwent radiotherapy treatment with and without radiosensitizer misonidazole. Based on the results from the simulation study and two applications, the proposed model shows to be a flexible and promising alternative to practitioners in this field.

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Figures

Figure 1
Figure 1
a) Hypertabastic hazard curve for 0 <β ≤ 0.25; b) Hypertabastic hazard curve for 0.25 <β < 1; c) Hypertabastic hazard curve for β = 1; d) Hypertabastic hazard curve for 1 ≤ β < 2; e) Hypertabastic hazard curve for β = 2; f) Hypertabastic hazard curve for β > 2.
Figure 2
Figure 2
Kaplan-Meier survival curve for multiple myeloma.
Figure 3
Figure 3
a) Hypertabastic hazard curve for multiple myeloma; b) Hypertabastic survival curve for multiple myeloma; c) Hypertabastic velocity of hazard curve for multiple myeloma.
Figure 4
Figure 4
a) Hypertabastic 3D survival curve with variables time and Log (BUN) for multiple myeloma data; b) Hypertabastic 3D survival curve with variables time and HGB for multiple myeloma data.
Figure 5
Figure 5
Kaplan-Meier survival curves for glioma brain cancer.
Figure 6
Figure 6
a) Hypertabastic hazard curves for glioma brain cancer; b) Hypertabastic survival curves for glioma brain cancer; c) Hypertabastic velocity of hazard curves for glioma brain cancer.
Figure 7
Figure 7
a) Hypertabastic 3D survival curve with variables time and age for group using radiotherapy with radiosentisizer misonidazole for glioma brain cancer; b) Hypertabastic 3D survival curve with variables time and age for group using radiotherapy without radiosentisizer misonidazole for glioma brain cancer.
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References

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