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- Carlotta Martelli, Andrea De Martino, Enzo Marinari, Matteo Marsili, Isaac Pérez Castillo
- Proceedings of the National Academy of Sciences…
- 2009

Understanding the organization of reaction fluxes in cellular metabolism from the stoichiometry and the topology of the underlying biochemical network is a central issue in systems biology. In this task, it is important to devise reasonable approximation schemes that rely on the stoichiometric data only, because full-scale kinetic approaches are… (More)

- C V Giuraniuc, J P L Hatchett, +4 authors C Vanderzande
- Physical review. E, Statistical, nonlinear, and…
- 2006

Weighted scale-free networks with topology-dependent interactions are studied. It is shown that the possible universality classes of critical behavior, which are known to depend on topology, can also be explored by tuning the form of the interactions at fixed topology. For a model of opinion formation, simple mean field and scaling arguments show that a… (More)

- Francesco Alessandro Massucci, Francesc Font-Clos, Andrea De Martino, Isaac Pérez Castillo
- Metabolites
- 2013

Quite generally, constraint-based metabolic flux analysis describes the space of viable flux configurations for a metabolic network as a high-dimensional polytope defined by the linear constraints that enforce the balancing of production and consumption fluxes for each chemical species in the system. In some cases, the complexity of the solution space can… (More)

- J P L Hatchett, I Pérez Castillo, A C C Coolen, N S Skantzos
- Physical review letters
- 2005

We study the dynamics of macroscopic observables such as the magnetization and the energy per degree of freedom in Ising spin models on random graphs of finite connectivity, with random bonds and/or heterogeneous degree distributions. To do so, we generalize existing versions of dynamical replica theory and cavity field techniques to systems with strongly… (More)

- Eytan Katzav, Isaac Pérez Castillo
- Physical review. E, Statistical, nonlinear, and…
- 2010

We consider the large deviations of the smallest eigenvalue of the Wishart-Laguerre Ensemble. Using the Coulomb gas picture we obtain rate functions for the large fluctuations to the left and the right of the hard edge. Our results are compared with known exact results for β=1 finding good agreement. We also consider the case of almost square matrices… (More)

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