Rza Bashirov

Here we describe the mode of action of multiple sets of cell cycle regulator proteins via petri net-based modeling and simulation. Our model includes transcription factors, and tumor suppressor genes i.e., CDK4/6, cyclin D, E2F1, RB, and p16INK4a in particular. We illustrate in a petri net fashion how these genes are transcribed, translated, and degraded, for a completion of the life span of a cell. By means of natural degradation or by way of utilizing assorted proteins such as Ubiquitin, we elucidate the fate of the battery of regulatory proteins that facilitate the outcome of cell cycle.

In this work, we propose an innovative approach to investigate the admissibility of permutations to multistage interconnection networks—a challenging problem of switching
theory. The proposed approach is centered upon modeling of multistage interconnection networks with colored Petri nets and use of Petri net analysis tools such as the unfolding
technique and the invariants method. To assess the feasibility of the proposed approach we demonstrate that the complete unfoldings obtained in this work are polynomial in the problem size and employ an acyclic structure. The approach takes advantage of easy to use, yet extremely efficient, software tools.