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.