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Structural Properties of an S-system Model of Mycobacterium tuberculosis Gene Regulation

Honeylou F. Farinas1,2, Eduardo R. Mendoza2,3,4,5, and Angelyn R. Lao2*

1Department of Mathematics, Mariano Marcos State University
Ilocos Norte 2906 Philippines
2Mathematics and Statistics Department, De La Salle University
Metro Manila 1004 Philippines
3Institute of Mathematical Sciences and Physics, University of the Philippines
Los Banos, Laguna 4031 Philippines
4Max Planck Institute of Biochemistry
Martinsried near Munich, Germany
5Faculty of Physics, Ludwig Maximilian University
Munich 80539 Germany

*Corresponding Author: This email address is being protected from spambots. You need JavaScript enabled to view it.

 

ABSTRACT

Magombedze and Mulder (2013) studied the gene regulatory system of Mycobacterium tuberculosis (Mtb) by partitioning this into three subsystems based on putative gene function and role in dormancy/latency development. Each subsystem, in the form of S-system, is represented by an embedded chemical reaction network (CRN), defined by a species subset and a reaction subset induced by the set of digraph vertices of the subsystem. For the embedded networks of S-system, we showed interesting structural properties and proved that all S-system CRNs (with at least two species) are discordant. Analyzing the subsystems as subnetworks, where arcs between vertices belonging to different subsystems are retained, we formed a digraph homomorphism from the corresponding subnetworks to the embedded networks. Lastly, we explored the modularity concept of CRN in the context of the digraph.

 

 

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