JAMC

Article http://dx.doi.org/10.26855/jamc.2018.01.001

Generation of Fractal Vessel Structure Functions by Using the Lindenmayer System

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Published: March 1,2018

Abstract

A real vessel structure has a complicated geometry that is difficult to define. In this study, we aim to model a vessel structure using the basic principles of the Lindenmayer system. The Lindenmayer system, also known as L-system presents an iterative formula to produce a set of rules for fractal structures requiring complicated and versatile rules. In this paper, we present how we have developed an agent based fractal vessel model using L-system. The geometry of fractal vessel structure is created by using the string rewriting technique. The alphabet symbol codes produced according to the rules of the L-system are visualized by using the turtle graphic algorithm. At the end of this study, we provide the simulation of turtle graphic algorithm in the Repast Simphony framework.

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How to cite this paper

Generation of Fractal Vessel Structure Functions by Using the Lindenmayer System 
Sevcan Emek1, Şebnem Bora1
1Ege University, Department of Computer Engineering, 35100, Bornova/Izmir, Turkey
Corresponding author: Sevcan Emek, Ege University, Department of Computer Engineering, 35100, Bornova/Izmir, Turkey 
Email: sevcan.emek@ege.edu.tr
How to cite this paper: Emek, S. & Bora, Ş. (2018) Generation of Fractal Vessel Structure Functions by Using the Lindenmayer System. Journal of Applied Mathematics and Computation, 2(1), 13-20.
http://dx.doi.org/10.26855/jamc.2018.01.001