Models of Growth Heterogeneous Cancer Cells with Chains Markoviens and Estimation of Their Fractal Dimension
Although little work in biometrics uses fractal geometry, we will discuss here biometrics cancer tissue examined under a microscope or simulated. The main purpose of our work is the simulation of the heterogeneous growth of cancerous tumors and the analysis of the appearance of their textures. The problem is to quantify the irregularity of their edges, which help enormously oncologists to give diagnoses to evaluate the treatment issued to their patients.
We propose new algorithms, which generates growth models with the ability to produce a border irregularity similar to that of cancerous tumors and value their fractal dimension.
The established models have two types of parameters: Algorithms describing the structure, and Scalar to quantify aspects modeled
Keywords: Simulation, cancerous tumour growth, Markov fields, fractal dimension.
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ABOUT THE AUTHORS
Abdelhamid Zerroug
Departement of Mathematics, University of Biskra.
Labib Sadek Terrissa
Computer Science Department, University of Biskra (Algeria)
Abdelhamid Zerroug
Departement of Mathematics, University of Biskra.
Labib Sadek Terrissa
Computer Science Department, University of Biskra (Algeria)
