The optimization and shock waves in evolution dynamics (2009)
Saakian, David B., Fontanari, Jose F.
We consider the optimal dynamics in the infinite population evolution models with general symmetric fitness landscape. The search of optimal evolution trajectories are complicated due to sharp...
The intermediate evolution phase in case of truncated selection (2009)
Saakian, David B., Biebricher, Christof K., Hu, Chin-Kun
Using methods of statistical physics, we present rigorous theoretical calculations of Eigen's quasispecies theory with the truncated fitness landscape which dramatically limits the available sequence...
Exactly solvable dynamics of the Eigen and the Crow-Kimura models (2009)
Saakian, David B., Rozanova, Olga, Akmetzhanov, Andrei
We introduce a new way to study molecular evolution within well-established Hamilton-Jacobi formalism, showing that for a broad class of fitness landscapes it is possible to derive dynamics...
Saakian, David B., Fontanari, José F.
The parallel mutation-selection evolutionary dynamics, in which mutation and replication are independent events, is solved exactly in the case that the Malthusian fitnesses associated to the genomes...
Mapping the economy to the some statistical physics models we get strong indications that, in contrary to the pure stock market, the stock market with derivatives could not self-regulate.
The free energy of the Random Energy Model at the transition point between ferromagnetic and spin glass phases is calculated. At this point, equivalent to the decoding error threshold in optimal...
Exact solution of the Eigen model with general fitness functions and degradation rates
Saakian, David B., Hu, Chin-Kun
We present an exact solution of Eigen’s quasispecies model with a general degradation rate and fitness functions, including a square root decrease of fitness with increasing Hamming distance from...
Exact solution of the Eigen model with general fitness functions and degradation rates
Saakian, David B., Hu, Chin-Kun
We present an exact solution of Eigen’s quasispecies model with a general degradation rate and fitness functions, including a square root decrease of fitness with increasing Hamming distance from...
Mapping the economy to the some statistical physics models we get strong indications that, in contrary to the pure stock market, the stock market with derivatives could not self-regulate.