A Mathematical Model for Role of Gemcitabine and Carboplatin in Intensively Pretreated Patients with Metastatic Breast Cancer Using Bivariate Sinh-Normal Distribution Model

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Year:
2015
Type of Publication:
Article
Keywords:
Gemcitabine, Carboplatin, Metastatic Breast Cancer, Sinh-Normal Distribution, Bivariate Birnbaum Saunders Distribution
Authors:
S. Jaya kumar; G. Ramya Arockiamary; A. Manickam
Journal:
IJISM
Volume:
3
Number:
2
Pages:
62-66
Month:
March
ISSN:
2347-9051
Abstract:
In this paper we introduce bivariate sinh-normal distribution, which has seven parameters. Due to presence of seven parameters it is a very flexible distribution .Different properties of this new distribution has been established. We consider a bivariate model which can be obtained by transforming the sinh-normal distribution and it is a generalization of the bivariate Birnbaum-Saunders distribu-tion. Several properties of the bivariate Birnbaum-Saunders distribution can be obtained as special cases of the proposed generalized bivariate Birnbaum-Saunders distribution. Patients with metastatic breast cancer (MBC) are increasingly exposed to anthracyclines and taxanes either during treatment of primary breast cancer or during initial therapy of metastatic disease. The combination of gemcita-bine plus carboplatin is a generally well-tolerated and effective regimen that provided sustained disease control in intensively pretreated breast cancer patients. Specifically after previous exposure to anthracyclines and/or the taxanes, this regimen can be considered as an active treatment option which offers a favorable balance between efficacy and tolerability. Combination of chemotherapy with gemcitabine and carboplatin is an effective and generally well tolerated treatment option for intensively pretreated patients with MBC. Due to a considerable incidence of severe thrombocytopenia it would be reasonable to consider starting gemcitabine at the lower dose level of 800 mg/m2. Our Mathematical result shows gemcitabine and carboplatin drug combinations are well tolerated treatment option. The medical curve and Mathematical curve for disease control is higher than the probability density functions which are monotonic functions

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