Regulation of future RNA and protein numbers is a key process by which cells continuously
best fit the environment. In bacteria, RNA and proteins exist in small numbers and their …

The problem of phase synchronization for a population of genetic oscillators (circadian
clocks, synthetic oscillators, etc.) is considered in this paper, taking into account a cell …

Usage of a Hamiltonian perturbation theory for a nonconservative system is counterintuitive
and, in general, a technical impossibility by definition. However, the time-independent dual …

In order to study the behaviour of discrete dynamical systems under adiabatic cyclic
variations of their parameters, we consider discrete versions of adiabatically-rotated rotators …

This PhD thesis is dedicated to modeling, analysis and control of oscillations, notably
biological rhythms. The thesis is divided into two parts. Part I deals with a real-life application …

Cell division introduces discontinuities in the dynamics of genetic oscillators (circadian
clocks, synthetic oscillators, etc.) causing phase drift. This paper considers the problem of …

Keeping in mind the relationship between the basal metabolic rate and the change in weight
in the aging process, we propose to generate a model of the same. As a result of data …