A Hybrid Model of a Genetic Regulatory Network in Mammalian Sclera
Qin Shu (Department of Aerospace, Mechanical Engineering,, University of Arizona, USA), Diana Catalina Ardila (Department of Aerospace, and Mechanical Engineering, University of Arizona, USA), Ricardo G. Sanfelice, (Department of Aerospace, Mechanical Engineering
TL;DR
This paper presents a hybrid model of a genetic regulatory network in the mammalian sclera, aiming to understand the mechanisms behind myopia-related scleral thinning through oscillatory behavior of key enzymes.
Contribution
It introduces a descriptive hybrid model with hysteresis for the regulatory network involving MMP-2, MT1-MMP, and TIMP-2, highlighting the importance of oscillations in scleral remodeling.
Findings
Model exhibits oscillatory behavior.
Numerical analysis reveals types of equilibria.
Insights into scleral tissue regulation.
Abstract
Myopia in human and animals is caused by the axial elongation of the eye and is closely linked to the thinning of the sclera which supports the eye tissue. This thinning has been correlated with the overproduction of matrix metalloproteinase (MMP-2), an enzyme that degrades the collagen structure of the sclera. In this short paper, we propose a descriptive model of a regulatory network with hysteresis, which seems necessary for creating oscillatory behavior in the hybrid model between MMP-2, MT1-MMP and TIMP-2. Numerical results provide insight on the type of equilibria present in the system.
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