9 papers
Sex as information processing: optimality and evolution
Anton S Zadorin, Olivier Rivoire
The long-term growth rate of populations in varying environments quantifies the evolutionary value of processing the information that biological individuals inherit from their ance…
A fast iterative algorithm for near-diagonal eigenvalue problems
Maseim Kenmoe, Ronald Kriemann, Matteo Smerlak +1
We introduce a novel eigenvalue algorithm for near-diagonal matrices inspired by Rayleigh-Schrödinger perturbation theory and termed Iterative Perturbative Theory (IPT). Contrary t…
Dynamical perturbation theory for eigenvalue problems
Maseim Kenmoe, Matteo Smerlak, Anton Zadorin
Many problems in physics, chemistry and other fields are perturbative in nature, i.e. differ only slightly from related problems with known solutions. Prominent among these is the…
Exact travelling solution for a reaction-diffusion system with a piecewise constant production supported by a codimension-1 subspace
Anton S. Zadorin
A generalisation of reaction diffusion systems and their travelling solutions to cases when the productive part of the reaction happens only on a surface in space or on a line on p…
Allostery and conformational changes upon binding as generic features of proteins: a high-dimension geometrical approach
Anton S. Zadorin
A growing number of experimental evidence shows that it is general for a ligand binding protein to have a potential for allosteric regulation and for further evolution. In addition…
Quantifying the performance of high-throughput directed evolution protocols
Adèle Dramé-Maigné, Anton Zadorin, Iaroslava Golovkova +1
Most protocols for the high-throughput directed evolution of enzymes rely on random encapsulation to link phenotype and genotype. In order to optimize these approaches, or compare…