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4 papers
General multi-scale estimates for Lyapunov data of Perron-Frobenius matrices. The case of diluted autocatalytic chemical reaction networks
Jeremie Unterberger
Autocatalytic chemical reaction networks are dynamical systems whose linearization around zero, dX/dt = AX, is represented by a Perron-Frobenius matrix A with positive Lyapunov exp…
Autocatalytic cores in the diluted regime:classification and properties
Praneet Nandan, Philippe Nghe, Jeremie Unterberger
Autocatalysis underlies the ability of chemical and biochemical systems to replicate. Autocatalysis was recently defined stoichiometrically for reaction networks; five types of min…
Optimal multi-time-scale estimates for diluted autocatalytic chemical networks. (1) Introduction and -dominant case
Jeremie Unterberger
Autocatalytic chemical networks are dynamical systems whose linearization around zero has a positive Lyapunov exponent; this exponent gives the growth rate of the system in the dil…
An introduction to random rule-based chemical networks
Jeremie Unterberger
Large chemical networks appear in various branches of chemistry and biology, in particular, cellular metabolism and prebiotic chemistry. Detailed simulations of such networks are d…