Simulation of the co-deregulated pathways between acute lymphoblastic leukemia and rhabdomyosarcoma

Acute lymphoblastic leukemia (ALL) and rhabdomyosarcoma (RMS) are two distinct childhood malignancies, which nevertheless, bear co-deregulated genes, responsible for the control of proliferation and metabolism. Through systems biology approaches and mathematical modeling, one can study the deregulated signaling pathways and manage the complexity that results from dynamic, non-linear space-time interactions. Here, we investigated the co-deregulated genes between two cell lines of childhood ALL (CCRF-CEM) and RMS (TE-671), and simulated the signal transduction pathways that they share, focusing on genes participating in metabolic activities and energy conversion. We found that the simulated molecules exhibited a log-like pattern with oscillations, with respect to time, and they were correlated between them at all-time points. Plotting of the transformed polar coordinates of each molecule with respect to time, showed that each molecule manifested quasi-turbulent dynamics. The simulation of the molecules with respect to time revealed time-dependent trajectories manifesting a turbulence-like structure. The chromosomal-related expression also manifested quasi-turbulent patterns. We further modeled these graphs using helical structures producing regressions. Overall, we report a new methodology that could help us understand the mechanics of the common metabolism-related co-deregulated genes, between ALL and RBS. Our data reveal that they manifest specific expression patterns, which can be modelled using Systems Biology approaches and mathematical modelling tools. Such tactics could be considered a valuable tool towards the understanding of therapeutic targets in childhood neoplasms.