Dynamics of Ewing's sarcoma initiation and progression: Mathematical and statistical studies on stochastic multistage bone cancer model

Abstract

wing’s sarcoma(ES) is a rare children bone cancer, which is also known as sarcoma keratin positive. It belongs to a tumor family that consistently related to chromosomal translocation and functional fusion of the EWS gene. Most of its pathognomonic translocation has been found to include the ews gene on chromosome 22 and an ets-type gene(most commonly fli1 gene) on chromosome 11.We used mathematical approach to study and describe the process of Ewing’s sarcoma initiation and progression. To model the carcinogenesis process of ES, we assumed that ES is initiated from the small number of mutated MSC in the tissue compartments of bone marrow with a homogeneous MSC population in the given time. We also incorporated the latest biological research discovery that only a small number of MSCs are at risk of the chromosomal translocation of ews gene, which is responsible for homeostatic regulation of MSCs. Using Kolmogorov forward equations, the ES formation dynamics are simulated by a low-dimensional stochastic process. We expect to assess the impact of variation in bone growth among individuals on ES risk using this model.