Leonid V. Kalachev

TL;DR: In this article, the boundary function method has been applied in the theory of semiconductor devices, and a mathematical model of combustion process in the case of autocatalytic reaction has been proposed.

TL;DR: The two-process model of sleep regulation belongs to a broader class of models formulated in terms of coupled non-homogeneous first-order ordinary differential equations, which have a dynamic repertoire capturing waking neurobehavioral functions across a wide range of wake/sleep schedules, and is suggested that the adenosinergic neuromodulator/receptor system may provide the underlying neurobiology.

TL;DR: The updated model predicts that the homeostatic equilibrium for sleep/wake regulation--and thus sensitivity to sleep loss--depends not only on the duration but also on the circadian timing of prior sleep, which has important implications for predicting operator alertness during work schedules involving circadian misalignment such as night shift work.

TL;DR: Findings justify the design of eluting stents with continuous coatings with enhanced diffusional resistance and the engineering of drugs with enhanced affinity to the vascular matrix for avoiding potential toxic peak effects of high concentrations of the free (unbound) drug.

TL;DR: Here, in the case of algae growth modeling, it is shown how a systematic model reduction can be done and the simplified model is analyzed from both theoretical and statistical points of view.