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access icon free Structural analysis of a Petri net model of oxidative stress in atherosclerosis

  • Author(s): Adam Kozak 1 ; Dorota Formanowicz 2 ; Piotr Formanowicz 1, 3
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  • Source: Volume 12, Issue 3, June 2018, p. 108 – 117
    DOI:  10.1049/iet-syb.2017.0015 , Print ISSN 1751-8849, Online ISSN 1751-8857
© The Institution of Engineering and Technology
Received 10/03/2017, Accepted 14/01/2018, Revised 23/12/2017, Published 18/01/2018

Atherosclerosis is a complex process of gathering sub-endothelial plaques decreasing lumen of the blood vessels. This disorder affects people of all ages, but its progression is asymptomatic for many years. It is regulated by many typical and atypical factors including the immune system response, a chronic kidney disease, a diet rich in lipids, a local inflammatory process and a local oxidative stress that is here one of the key factors. In this study, a Petri net model of atherosclerosis regulation is presented. This model includes also some information about stoichiometric relationships between its components and covers all mentioned factors. For the model, a structural analysis based on invariants was made and biological conclusions are presented. Since the model contains inhibitor arcs, a heuristic method for analysis of such cases is presented. This method can be used to extend the concept of feasible t-invariants.

Inspec keywords: blood vessels; Petri nets; oxidation; physiological models; diseases; biochemistry

Other keywords: structural analysis; atherosclerosis; t-invariants; immune system response; Petri net model; subendothelial plaques; chronic kidney disease; oxidative stress; blood vessels

Subjects: Biomedical engineering; Combinatorial mathematics; Systems theory applications in biology and medicine

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