A Hybrid Model of a Genetic Regulatory Network in Mammalian Sclera

Qin Shu
(Department of Aerospace and 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 and Mechanical Engineering, University of Arizona, USA)
Jonathan P. Vande Geest
(Department of Aerospace and Mechanical Engineering, University of Arizona, USA)

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.

In Thao Dang and Carla Piazza: Proceedings Second International Workshop on Hybrid Systems and Biology (HSB 2013), Taormina, Italy, 2nd September 2013, Electronic Proceedings in Theoretical Computer Science 125, pp. 99–105.
Published: 27th August 2013.

ArXived at: http://dx.doi.org/10.4204/EPTCS.125.8 bibtex PDF
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