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Morten Kloster

Publications and source records attributed to Morten Kloster.

3 recordsLinked to original sources

Analysis of evolution through competitive selection.

Recent studies of in vitro evolution of DNA via protein binding indicate that the evolution behavior is qualitatively different in different parameter regimes. I here present a general theory that is valid for a wide range of parameters, and which reproduces and extends previous results. Specifically, the mean-field theory of a general translation-invariant model can be reduced to the basic diffusion equation with a dynamic boundary condition. The simple analytical form yields both quantitatively accurate predictions and valuable insight into the principles involved.

Biological Evolution↗

Pattern formation within Escherichia coli: diffusion, membrane attachment, and self-interaction of MinD molecules.

In E. coli, accurate cell division depends upon the oscillation of Min proteins from pole to pole. We provide a model for the polar localization of MinD based only on diffusion, a delay for nucleotide exchange, and different rates of attachment to the bare membrane and the occupied membrane. We derive analytically the probability density, and correspondingly the length scale, for MinD attachment zones. Our simple analytical model illustrates the processes giving rise to the observed localization of cellular MinD zones.

Adenosine Triphosphatases↗

Simulation and analysis of in vitro DNA evolution.

We study theoretically the in vitro evolution of a DNA sequence by binding to a transcription factor. Using a simple model of protein-DNA binding and available binding constants for the Mnt protein, we perform large-scale, realistic simulations of evolution starting from a single DNA sequence. Varying the evolution parameters reveals three different regimes characterized by distinct evolutionary behaviors, and for each regime we find analytical estimates which agree well with simulation results. We also study how the details of the DNA-protein interaction affect the evolution.

DNA↗