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math.DS2024
Planar chemical reaction systems with algebraic and non-algebraic limit cycles
Gheorghe Craciun, Radek Erban
The Hilbert number is defined as the maximum number of limit cycles of a planar autonomous system of ordinary differential equations (ODEs) with right-hand sides containing…
q-bio.QM2024
Multi-grid reaction-diffusion master equation: applications to morphogen gradient modelling
Radek Erban, Stefanie Winkelmann
The multi-grid reaction-diffusion master equation (mgRDME) provides a generalization of stochastic compartment-based reaction-diffusion modelling described by the standard reaction…