Journal article
A theoretic control approach in signal-controlled metabolic pathways
Mathematical biosciences and engineering : MBE, v 4(3), pp 471-488
01 Jul 2007
PMID: 17658936
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
Cells use a signal transduction mechanism to regulate certain metabolic pathways. In this paper, the regulatory mechanism is analyzed mathematically. For this analysis, a mathematical model for the pathways is first established using a system of differential equations. Then the linear stability, controllability, and observability of the system are investigated. We show that the linearized system is controllable and observable, and that the real parts of all eigenvalues of the linearized system are nonpositive using Routh's stability criterion. Controllability and observability are structural properties of a dynamical system. Thus our results may explain why the metabolic path ways can be controlled and regulated. Finally observer-based and proportional output feedback controllers are designed to regulate the end product to its de sired level. Applications to the regulation of blood glucose levels are discussed.
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Details
- Title
- A theoretic control approach in signal-controlled metabolic pathways
- Creators
- Ramesh Garimella - University of Central ArkansasUma GarimellaWeijiu Liu - University of Central Arkansas
- Publication Details
- Mathematical biosciences and engineering : MBE, v 4(3), pp 471-488
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000246552300005
- Scopus ID
- 2-s2.0-34547487448
- Other Identifier
- 991021861660104721
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- Web of Science research areas
- Mathematical & Computational Biology