Abstract
Mathematical models of living systems are often based on formal representations of the underlying reaction networks. Here, we present the basic concepts for the deterministic nonspatial treatment of such networks. We describe the most prominent approaches for steady-state and dynamic analysis using systems of ordinary differential equations.
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Bibliography
Craciun G, Tang Y, Feinberg M (2006) Understanding bistability in complex enzyme-driven reaction networks. Proc Natl Acad Sci USA 103(23):8697–8702
Higham DJ (2008) Modeling and simulating chemical reactions. SIAM Rev 50(2):347–368
LeDuc PR, Messner WC, Wikswo JP (2011) How do control-based approaches enter into biology? Annu Rev Biomed Eng 13:369–396
Sontag E (2005) Molecular systems biology and control. Eur J Control 11(4–5):396–435
Szallasi Z, Stelling J, Periwal V (eds) (2010) System modeling in cellular biology: from concepts to nuts and bolts. MIT, Cambridge
Tyson JJ, Chen KC, Novak B (2003) Sniffers, buzzers, toggles and blinkers: dynamics of regulatory and signaling pathways in the cell. Curr Opin Cell Biol 15(2):221–231
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© 2014 Springer-Verlag London
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Stelling, J., Kaltenbach, HM. (2014). Deterministic Description of Biochemical Networks. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5102-9_87-1
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DOI: https://doi.org/10.1007/978-1-4471-5102-9_87-1
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Publisher Name: Springer, London
Online ISBN: 978-1-4471-5102-9
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