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Liu, J.G. (2019) Analysis and Computation of Some Tumor Growth Models with Nutrient: From Cell Density Models to Free Boundary Dynamics. Discrete & Continuous Dynamical Systems B, 24, 3011-3035.
https://doi.org/10.3934/dcdsb.2018297

has been cited by the following article:

• TITLE: Parameter Sensitivity and Qualitative Analysis of Dynamics of Ovarian Tumor Growth Model with Treatment Strategy

  AUTHORS: Md. Shah Alam, Md. Kamrujjaman, Md. Shafiqul Islam

  KEYWORDS: Parameter Sensitivity, Latin Hypercube Sampling, Partial Rank Correlation Coefficient, Scatter Plot, Monotonicity, Stability Analysis

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.6, June 1, 2020

  ABSTRACT: In this paper, we are interested to find the most sensitive parameter, local and global stability of ovarian tumor growth model. For sensitivity analysis, we use Latin Hypercube Sampling (LHS) method to generate sample points and Partial Rank Correlation Coefficient (PRCC) method, uses those sample points to find out which parameters are important for the model. Based on our findings, we suggest some treatment strategies. We investigate the sensitivity of the parameters for tumor volume, y, cell nutrient density, Q and maximum tumor size, ymax. We also use Scatter Plot method using LHS samples to show the consistency of the results obtained by using PRCC. Moreover, we discuss the qualitative analysis of ovarian tumor growth model investigating the local and global stability.