Mathematical Modeling using Pure Fractions and Monte Carlo Simulation to Control Thalassemia Disease Transition

Thalassemia is one of the most widely spread genetic disease, especially in the Middle East. The study aims to create a mathematical model for the control of the transition of genetically inherited thalassemia disease. New form of representing the numbers in the unit - interval [0, 1] which is called pure fractions and the theory and properties of pure fractions were examined and applied. To generalize the effectiveness of this innovative model to predict the number of generations needed to eliminate Thalassemia or other similar genetic diseases, Monte-Carlo Simulation via MATLAB was used. Results indicated such genetic diseases could be controlled and can be eliminated with proper family policies.