Growth-Induced Instability in Metabolic Networks

Journal Article · Fri Mar 30 00:00:00 EDT 2007 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.98.138105· OSTI ID:20951198

Goyal, Sidhartha ^[1]; Wingreen, Ned S ^[2]

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1. Department of Physics, Princeton University, Princeton, New Jersey 08544 (United States)
2. Department of Molecular Biology, Princeton University, Princeton, New Jersey 08544 (United States)

Product-feedback inhibition is a ubiquitous regulatory scheme for maintaining homeostasis in living cells. Individual metabolic pathways with product-feedback inhibition are stable as long as one pathway step is rate limiting. However, pathways are often coupled both by the use of a common substrate and by stoichiometric utilization of their products for cell growth. We show that such a coupled network with product-feedback inhibition may exhibit limit-cycle oscillations which arise via a Hopf bifurcation. Our results highlight novel evolutionary constraints on the architecture of metabolism.

• OSTI ID: 20951198
• Journal Information: Physical Review Letters, Vol. 98, Issue 13; Other Information: DOI: 10.1103/PhysRevLett.98.138105; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANIMAL GROWTH
BIFURCATION
BIOLOGICAL PATHWAYS
FEEDBACK
HOMEOSTASIS
INSTABILITY
LIMIT CYCLE
METABOLISM
OSCILLATIONS
STOICHIOMETRY
SUBSTRATES