A comparison and catalog of intrinsic tumor growth models.
نویسندگان
چکیده
Determining the mathematical dynamics and associated parameter values that should be used to accurately reflect tumor growth continues to be of interest to mathematical modelers, experimentalists and practitioners. However, while there are several competing canonical tumor growth models that are often implemented, how to determine which of the models should be used for which tumor types remains an open question. In this work, we determine the best fit growth dynamics and associated parameter ranges for ten different tumor types by fitting growth functions to at least five sets of published experimental growth data per type of tumor. These time-series tumor growth data are used to determine which of the five most common tumor growth models (exponential, power law, logistic, Gompertz, or von Bertalanffy) provides the best fit for each type of tumor.
منابع مشابه
Treatment of Murine Tumor Models of Breast Adenocarcinoma by Continuous Dual-Frequency Ultrasound
Introduction: Acoustic transient cavitation is the primary mechanism of sonochemical reaction and has potential use for tumor treatment. In this study, the in vivo anti-tumor effect of simultaneous dual-frequency ultrasound at low-level intensity (ISATA < 6 W/cm2) was investigated in a spontaneous murine model of breast adenocarcinoma in Balb/c mice. Materials and Methods: Forty tumor bearing m...
متن کاملA stochastic mathematical model of avascular tumor growth patterns and its treatment by means of noises
Due to the rate increase in cancer incidence, many researchers in different fields have been conducting studies on cancer-related phenomena. Most studies are conducted to focus on cellular and molecular aspects of cancerous diseases and treatment strategies. Physicists have been using mathematical modeling and simulation to explain the growth pattern of tumors. Although most published studies i...
متن کاملPRICING STOCKS BY USING FUZZY DIVIDEND DISCOUNT MODELS
Although the classical dividend discount model (DDM) is a wellknown and widely used model in evaluating the intrinsic price of common stock, the practical pattern of dividends, required rate of return or growth rate of dividend do not generally coincide with any of the model’s assumptions. It is just the opportunity to develop a fuzzy logic system that takes these vague parameters into account....
متن کاملTwo Dimensional Mathematical Model of Tumor Angiogenesis: Coupling of Avascular Growth and Vascularization
Introduction As a tumor grows, the demand for oxygen and nutrients increases and it grows further if acquires the ability to induce angiogenesis. In this study, we aimed to present a two-dimensional continuous mathematical model for avascular tumor growth, coupled with a discrete model of angiogenesis. Materials and Methods In the avascular growth model, tumor is considered as a single mass, wh...
متن کاملComparison of Some Nonlinear Functions for Describing Broiler Growth Curves of Cobb500 Strain
This study was conducted to compare some nonlinear functions to describe the broiler growth curve of the Cobb500 strain. A flock of fifty one-day-old chicks were randomly selected from a henhouse of 2500 chicks. Our goal was to establish a growth curve using weighting data using mathematical solutions of time-dependent differential functions. In total, six equations were subjected to a statisti...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Bulletin of mathematical biology
دوره 76 8 شماره
صفحات -
تاریخ انتشار 2014