157 citations · 2.9k across the 96 of their papers we have counts for
5 papers · 1 filter
Evolution of adaptation mechanisms: adaptation energy, stress, and oscillating death
A. N. Gorban, T. A. Tyukina, E. V. Smirnova +1
In 1938, H. Selye proposed the notion of adaptation energy and published "Experimental evidence supporting the conception of adaptation energy". Adaptation of an animal to differen…
Fast Sampling of Evolving Systems with Periodic Trajectories
I. Yu. Tyukin, A. N. Gorban, T. A. Tyukina +2
We propose a novel method for fast and scalable evaluation of periodic solutions of systems of ordinary differential equations for a given set of parameter values and initial condi…
Approximation with Random Bases: Pro et Contra
Alexander N. Gorban, Ivan Yu. Tyukin, Danil V. Prokhorov +1
In this work we discuss the problem of selecting suitable approximators from families of parameterized elementary functions that are known to be dense in a Hilbert space of functio…
Generalized Mass Action Law and Thermodynamics of Nonlinear Markov Processes
A. N. Gorban, V. N. Kolokoltsov
The nonlinear Markov processes are the measure-valued dynamical systems which preserve positivity. They can be represented as the law of large numbers limits of general Markov mode…
Long and short range multi-locus QTL interactions in a complex trait of yeast
Evgeny M. Mirkes, Thomas Walsh, Edward J. Louis +1
We analyse interactions of Quantitative Trait Loci (QTL) in heat selected yeast by comparing them to an unselected pool of random individuals. Here we re-examine data on individual…