3,350 research outputs found
Estimating the size of the solution space of metabolic networks
In this work we propose a novel algorithmic strategy that allows for an
efficient characterization of the whole set of stable fluxes compatible with
the metabolic constraints. The algorithm, based on the well-known Bethe
approximation, allows the computation in polynomial time of the volume of a non
full-dimensional convex polytope in high dimensions. The result of our
algorithm match closely the prediction of Monte Carlo based estimations of the
flux distributions of the Red Blood Cell metabolic network but in incomparably
shorter time. We also analyze the statistical properties of the average fluxes
of the reactions in the E-Coli metabolic network and finally to test the effect
of gene knock-outs on the size of the solution space of the E-Coli central
metabolism.Comment: 8 pages, 7 pdf figure
WENO schemes applied to the quasi-relativistic Vlasov--Maxwell model for laser-plasma interaction
In this paper we focus on WENO-based methods for the simulation of the 1D
Quasi-Relativistic Vlasov--Maxwell (QRVM) model used to describe how a laser
wave interacts with and heats a plasma by penetrating into it. We propose
several non-oscillatory methods based on either Runge--Kutta (explicit) or
Time-Splitting (implicit) time discretizations. We then show preliminary
numerical experiments
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