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Updated: Jun 29, 2025

A Bioluminescent and Fluorescent Orthotopic Syngeneic Murine Model of Androgen-dependent and Castration-resistant Prostate Cancer
Published on: March 6, 2018
Gompertz models with periodical treatment and applications to prostate cancer
Leonardo Schultz1, Antonio Gondim1, Shigui Ruan1
1Department of Mathematics, University of Miami, 1365 Memorial Drive, Coral Gables, FL 33146, USA.
Abstract:
In this paper, Gompertz type models are proposed to understand the temporal tumor volume behavior of prostate cancer when a periodical treatment is provided. Existence, uniqueness, and stability of periodic solutions are established. The models are used to fit the data and to forecast the tumor growth behavior based on prostate cancer treatments using capsaicin and docetaxel anticancer drugs. Numerical simulations show that the combination of capsaicin and docetaxel is the most efficient treatment of prostate cancer.
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