177 citations · 206 across the 9 of their papers we have counts for
9 papers
A statistical interpretation of biologically inspired growth models
A. Samoletov, B. Vasiev
Biological entities are inherently dynamic. As such, various ecological disciplines use mathematical models to describe temporal evolution. Typically, growth curves are modelled as…
Temperature expressions and ergodicity of the Nosé-Hoover deterministic schemes
A. Samoletov, B. Vasiev
Thermostats are dynamic equations used to model thermodynamic variables in molecular dynamics. The applicability of thermostats is based on the ergodic hypothesis. The most commonl…
Dynamic principle for ensemble control tools
A. Samoletov, B. Vasiev
Dynamical equations describing physical systems at statistical equilibrium are commonly extended by mathematical tools called "thermostats". These tools are designed for sampling e…
Notes on configurational thermostat schemes
A. A. Samoletov, C. P. Dettmann, M. A. J. Chaplain
We have linked together two contributions in the development of configurational thermostats, the BT thermostat and the SDC scheme. We have shown that recently proposed configuratio…
On the noise modelling in a nerve fiber
A. A. Samoletov, B. N. Vasiev
We present a novel mathematical approach to model noise in dynamical systems. We do so by considering dynamics of a chain of diffusively coupled Nagumo cells affected by noise. We…
Thermostats for "slow" configurational modes
A. A. Samoletov, C. P. Dettmann, M. A. J. Chaplain
Thermostats are dynamical equations used to model thermodynamic variables such as temperature and pressure in molecular simulations. For computationally intensive problems such as…