Influence of Random Pinning on the Crystallization Process in Suspensions of Hard Spheres

We discuss crystal formation in supersaturated suspensions of monodisperse hard spheres with a concentration of hard spheres randomly pinned in space and time. The pinning procedure introduces an external length scale and an external time scale that restrict the accessible number of configureurations and ultimately the number of pathways leading to crystallization. We observe a significant drop in the nucleation rate density at a characteristic pinning concentration that can be directly related to the structure of the critical nucleus and the dynamics of its formation in the unpinned system.

PPPM (Predictive, Preventive and Personalized Medicine) as a New Model of the National and International Healthcare Services and Thus a Promising Strategy to Prevent a Disease: From Basics to Practice

Nowadays the system of public health is constructed in such a manner so that its main objective is the recovery of an already sick person, while prediction and prevention receive little attention. Meanwhile the development of these aspects of medicine can lead to the ability to control morbidity among the population, to identify chronic and genetic diseases in the early stages of development, and thus to prevent their further progression. This will reduce traditionally high costs of sick people treatment and the number of disabled population, and improve the quality and duration of life. The elaboration of new fields of science that are working on the study and interpretation of data obtained during laboratory and clinical research, creation of new methods for diagnosis, prognosis and treatment, provides an opportunity now to implement a new strategy, called PPPM, and gets promising results, which should lead to further development of an existing medicine.

Health Monitoring Based on Dynamic Flexibility Matrix: Theoretical Models versus <i>In-Situ</i>Tests

The paper focuses on damage detection of civil engineering structures and especially on concrete bridges. A method for structural health monitoring based on vibrational measurements is presented and discussed. Experimentally identified modal parameters (eigenfrequencies, mode shapes and modal masses) of bridge structures are used to calculate the inverse stiffness matrix, the so-called flexibility matrix. By monitoring of the stiffness matrix, damage can easily be detected, quantified and localized by tracking changes of its individual elements. However, based on dynamic field measurements, the acquisition of the flexibility matrix instead of the stiffness matrix is often the only choice and hence more relevant for practice. But the flexibility-based quantification and localisation of damage are often possible but more difficult, as it depends on the type of support and the location of the damage. These issues are discussed and synthetized, that is an originality of this paper and is believed useful for engineers in the damage detection of different bridge structures. First the theoretical background is briefly repeated prior to the illustration of the differences between stiffness and flexibility matrix on analytical and numerical examples. Then the flexibility-based detection is demonstrated on two true bridges with real-time measurement data and the results are promising.

Natural boundary of the random power series

We investigate convergence properties of random Taylor series whose coefficients are ψ-mixing random variables. In particular, we give sufficient conditions such that the circle of convergence of the series forms almost surely a natural boundary.