کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4949369 1440049 2017 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Estimating a non-homogeneous Gompertz process with jumps as model of tumor dynamics
ترجمه فارسی عنوان
برآورد یک فرآیند غمگنی گومپرتز با جهش به عنوان مدل دینامیک تومور
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نظریه محاسباتی و ریاضیات
چکیده انگلیسی


- A non-homogeneous Gompertz process with jumps is built as model of tumor dynamics.
- In real applications the instants of therapeutical application can be known or not.
- The estimation of the model is developed in both cases.
- A strategy for obtaining optimal instants of therapeutical application is developed.

A non-homogeneous stochastic model based on a Gompertz-type diffusion process with jumps is proposed to describe the evolution of a solid tumor subject to an intermittent therapeutic program. Each therapeutic application, represented by a jump in the process, instantly reduces the tumor size to a fixed value and, simultaneously, increases the growth rate of the model to represent the toxicity of the therapy. This effect is described by introducing a time-dependent function in the drift of the process. The resulting model is a combination of several non-homogeneous diffusion processes characterized by different drifts, whose transition probability density function and main characteristics are studied. The study of the model is performed by distinguishing whether the therapeutic instances are fixed in advance or guided by a strategy based on the mean of the first-passage-time through a control threshold. Simulation studies are carried out for different choices of the parameters and time-dependent functions involved.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computational Statistics & Data Analysis - Volume 107, March 2017, Pages 18-31
نویسندگان
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