Replicator renaissance

Replicator Networks with Intermediates

The behaviour of a class of autocatalytic systems with intermediates has been studied. A general chemical model has been derived, and the corresponding kinetic differential equations have been studied by both analytical and numerical methods. Two special cases were investigated in more detail: a competitive model, closely related to the second order Schlögl model, and a mutualistic model, deriv...

Replicator Dynamics in Protocells

Replicator equations have been studied for three decades as a generic dynamical system modelling replication processes. Here we show how they arise naturally in models of self-replicating polymers and discuss some of their basic properties. We then concentrate on a minimal dynamic model of a protocell by coupling replicating polymers with a growing membrane.

Stochastic Replicator Dynamics

This article studies the replicator dynamics in the presence of shocks. I show that under these dynamics, strategies that do not survive the iterated deletion of strictly dominated strategies are eliminated in the long run, even in the presence of nonvanishing perturbations. I also give an example that shows that the stochastic dynamics in this article have equilibrium selection properties that...

Capillary-action replicator.

Molecular Replicator Dynamics

Template-dependent replication at the molecular level is the basis of reproduction in nature. A detailed understanding of the peculiarities of the chemical reaction kinetics associated with replication processes is therefore an indispensible prerequisite for any understanding of evolution at the molecular level. Networks of interacting self-replicating species can give rise to a wealth of diffe...