Published in Physics of Atomic Nuclei
The paper presents the results of both microscopical and semi-empirical calculations of single-particle characteristics, nuclear binding, and one-nucleon separation energies of nuclei, as well as their root-mean-square radii, energy levels and transition rates in the long chain of Sn isotopes. We consider nuclei from the extremely neutron-deficient...
Published in The European Physical Journal A
In this paper, we solve the eigenvalues and eigenvectors problem with the Bohr collective Hamiltonian for triaxial nuclei. The β-part of the collective potential is taken to be equal to the Hulthén potential while the γ-part is defined by a new generalized potential obtained from a ring-shaped one. Analytical expressions for spectra and wave functi...
Published in The European Physical Journal Special Topics
The article by Sarich and Schütte takes a broad view of the use of Markov state models, with biomolecules as the intended application, and proposes novel approaches based on mathematical insights.
Published in The European Physical Journal Special Topics
We discuss the relationships between large deviations in stochastic systems, and “effective interactions” that induce particular rare events. We focus on the nature of these effective interactions in physical systems with many interacting degrees of freedom, which we illustrate by reviewing several recent studies. We describe the connections betwee...
Published in The European Physical Journal Special Topics
We present a comprehensive theory for analysis and understanding of transition events between an initial set A and a target set B for general ergodic finite-state space Markov chains or jump processes, including random walks on networks as they occur, e.g., in Markov State Modelling in molecular dynamics. The theory allows us to decompose the proba...
Published in PharmacoEconomics
BackgroundIncidence of attention deficit hyperactivity disorder (ADHD) in children and adolescents has been increasing. The disorder results in high societal costs. Policymakers increasingly use health economic evaluations to inform decisions on competing treatments of ADHD. Yet, health economic evaluations of first-choice medication of ADHD in chi...
Published in Physics of Atomic Nuclei
In the framework of the two-group configuration model we obtain formulas for the reduced transition rates for beta and gamma transitions in even-even, odd-odd, even-odd, and odd-even nuclei. We explored dependencies of the transition rates on the occupancies of the involved subshells, as well as on the spin values of the initial and final states. T...
Published in PharmacoEconomics
IntroductionStructural uncertainty relates to differences in model structure and parameterization. For many published health economic analyses in oncology, substantial differences in model structure exist, leading to differences in analysis outcomes and potentially impacting decision-making processes. The objectives of this analysis were (1) to ide...
Published in Automation and Remote Control
Specific features in mathematical modeling of the parameterized TCP Reno protocol based on Markov chains are discussed. Explicit formulas for transition rates are derived.
Published in Applied Mathematics & Optimization
In this paper we consider symmetric games where a large number of players can be in any one of d states. We derive a limiting mean field model and characterize its main properties. This mean field limit is a system of coupled ordinary differential equations with initial-terminal data. For this mean field problem we prove a trend to equilibrium theo...
