A General Stochastic Model for Tumor Growth: Simulating Cardiac Tumor (Myxoma) Development

Tumors, whether cancerous or benign, are among the most prominent problems of our time, and creating mathematical models to study, understand, and predict their behavior is extremely important.In this article, we created a general stochastic model to study the development of tumor size and diameter.The significance of our model is that it can study tumor growth in general it takes into consideration the number of capillaries that are inside the tumors and the quantity of blood that enters the tumor as well as the efficiency of the nutrients.We applied this model to simulate the development of a tumor called Myxoma, which is a tumor that grows in the heart.In the simulation of the growth of the Myxoma tumor volume over time in days, we found that tumor volume may reach 7.56 cm 3 which is consistent with experimental studies which confirm that the tumor volume grows between 3.053 and 7.238 cm 3 .As for the tumor diameter we have found that the change in diameter of tumor Myxoma ranges between 2 and 2.5 cm in a period of 360 days, and this is almost consistent with the real data where the size of the tumor diameter in the first year ranges between 1.8 and 2.4 cm.