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Solução da equação diferencial da Gompertz na análise de crescimento de tumores malignos da próstata

2016; Volume: 2; Issue: 1 Linguagem: Inglês

10.25286/repa.v2i1.512

2525-4251

Gentil Alves Filho, Newton Adrião De Aguiar Neto, Cleomácio Miguel da Silva,

Rural Development and Agriculture

Objectives: This paper presents the solution of the Gompertz equation with emphasis on the growth of malignant prostate tumors using mathematical tricks and literary research to determine the model coefficients that best fit to the characteristics of this type of tumor.Methodology: was developed solution Gompertz equation and analyzed the dependence that with each parameter within the film, aiming to check which of these best influence the characteristics of tumor growth of prostate.Thus, from literary research, it determined each component of the equation, reaching the simplified model of prostate tumor growth.Results: from the found mod-el, we found that prostate cancer has a slow development during its initial development period, about 10 years, virtually unnoticed by the diagnostic, but after that time, its development is fast and therefore aggressive, thus increasing the chances of metastasis and complications in healthy carrier of the disease.Conclusion: With this work, we concluded that there is a need to develop new techniques for the diagnosis of prostate cancer, for as this is a disease that kills more men around the world, there is a great importance of preventing a state this advanced disease.