An isothermal biochemical in vitro amplification system with two trans-coop
eratively coupled amplifying DNA molecules was investigated as a simple rea
ction-diffusion system. In a model of the recently developed experimental s
ystem, no reaction mechanism higher than second-order occurs, Numerical sim
ulations in two spatial dimensions show a variety of complex spatiotemporal
patterns which arise in response to finite amplitude perturbations. In a c
ertain domain of the kinetic parameters, the system shows self-replicating
spots. These spots are supposed to stabilize the cooperative amplification
in evolving systems against emerging parasites. The results are of high rel
evance for experimental studies of evolutionary effects of the system in op
en two-dimensional reaction-diffusion reactors. For experimental spatially
resolved evolution studies one- and two-dimensional microstructured flow re
actors were designed, which enable the continuous influx of reactants, homo
geneous flow through the active reaction layer and the removal of reaction
products. First experimental results show homogeneous as well as inhomogene
ous amplification of the biochemical system in microstructured reactors. (C
) 1999 Elsevier Science Ltd. All rights reserved.