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, Mathematical Modeling of Complex Biological Systems-A Kinetic Theory Approach. Birkhäuser, 2006. 9. A. Chauviere and I. Brazzoli, On the discrete kinetic theory for active particles. mathematical tools, Mathematical and Computer Modelling, vol. 43, no. 7-8, pp. 933-944, 2006. 10. N. Bellomo, C. Bianca, and M. Mongiovì, On the modeling of nonlinear interactions in large complex systems, Applied Mathematics Letters, vol. 23, no. 11, pp. 1372-1377, 2010. 11. I. Brazzoli, E. D. Angelis, and P. E. Jabin, A mathematical model of immune competition related to cancer dynamics

, A kinetic model for horizontal transfer and bacterial antibiotic resistance, International Journal of Biomathematics, vol. 10, no. 04, p. 1750051, 2017. 8. M. Delitala, P. Pucci, and M. Salvatori, From methods of the mathematical kinetic theory for active particles to modeling virus mutations, Mathematical Models and Methods in Applied Sciences, vol. 21, no. supp01, pp. 843-870, 2011. 9. M. Dolfin, L. Leonida, and N. Outada, Modeling human behavior in economics and social science, Physics of Life Reviews, 2017. 10. M. L. Bertotti and M. Delitala, From discrete

Which Polypeptides Are Characteristic for Photosystem II? Analysis of Active Photosystem II Particles from the Blue-Green Alga Anacystis nidulans * Friederike Koenig and Leo P. Vernon Brigham Young University, Research Division, Provo, Utah, USA Z. Naturforsch. 36 c, 295-304 (1981); received January 7, 1981 Dedicated to Prof. Dr. W. Menke on the Occasion of His 70th Birthday Photosystem II, Active Particles, Polypeptides, Thylakoid Membrane, Anacystis A thylakoid membrane preparation isolated from the blue-green alga Anacystis nidulans was freed from

. Basel: Birkhaauser, 2017. 12. N. Bellomo, P. Degond, and E. Tadmor, eds., Active Particles Volume 1 - Advances in Theory, Models, and Applications. Basel: Birkhaauser, 2017. 13. A. D. Wentzell, A course in the theory of stochastic processes. McGraw-Hill International, 1981. 14. D. Hanahan and R. A. Weinberg, Hallmarks of cancer: The next generation, Cell, vol. 44, pp. 646{674, 2011. 15. A. Lasota and J. A. Yorke, Exact dynamical systems and the frobenius-perron operator, Trans. Amer. Math. Soc., vol. 273, pp. 375{384, 1982. 16. R. Rudnicki, Models of population

aggregation. At t = 8.65 ns, a completely stable stream is formed. The simulation stream agrees well with the physical fact. The variations of electron density, O-atom and O-ion density are also presented. The variation trend of O-ions is similar to that of the electron density. At the time when the streamer is formed, the average particle density of O-ions reaches up to ∼1018 m−3. The number of active particles reaches that for starting the chemical reactions. Keywords: plasma ignition, gas discharge, stream, elec- tron density, numerical simulation PACS® (2010

if tJ.-* (t) ¢:. S, then the birth of particles obeys the law of the process <2ii10• Along with active, breeding particles, in the processes (lAO and (lA 1 a random amount of final particles emerges, which do not participate in the process evolution but accumulate and constitute some final amount TJn after the process extinction, where n is the initial number of active particles. It is known that in a critical branching process, under some conditions, the distribution of the random variable TJn!n2 as n --7 oo converges to the stable distribution law with

nanosecond discharges as active particles generator for plasma-as- sisted combustion and ignition has been investigated. The study of nanosecond barrier dis- charge influence on a flame propagation and flame blow-off velocity has been carried out. With energy input negligible in comparison with the burner’s chemical power, a double flame blow-off velocity increase has been obtained. A signicant shift of the ignition delay time in comparison with the autoignition has been registered for all mixtures. Detonation initiating by high-voltage gas discharge has been demonstrated


The paper presents research focused on the efficiency improvement of inorganic flexible thin-film solar cells, using energy converting layers. The light capture enhancement was achieved through the introduction of layers based on rare-earth elements, as top coatings on the amorphous silicon photovoltaic structures. Such luminescent layers are converting high-energy photons into low-energy ones, which are more efficient in photovoltaic conversion of the investigated solar cells. Towards this goal, powders consisting rare-earth elements were applied as active particles in polymer layer. For practical experiments, the screen-printing method, as a cheap, reliable and industrially-ready technology was used for layers deposition. For the experiments two compositions were selected: Sr4Al14O25: Eu,Dy (BGL-300M) and SrAl2O4: Eu,Dy (G-300M). These materials are characterized by excellent thermal and optical stability and interesting luminescent properties (they absorb ultraviolet and emit in the visible range). For the verification of investigated materials and methods, various compositions of powders and proportions were tested and analyzed.


The majority of the Mio-Pleistocene monogenetic volcanoes in Western Hungary had, at least in their initial eruptive phase, phreatomagmatic eruptions that produced pyroclastic deposits rich in volcanic glass shards. Electron microprobe studies on fresh samples of volcanic glass from the pyroclastic deposits revealed a primarily tephritic composition. A shape analysis of the volcanic glass shards indicated that the fine-ash fractions of the phreatomagmatic material fragmented in a brittle fashion. In general, the glass shards are blocky in shape, low in vesicularity, and have a low-to-moderate microlite content. The glass-shape analysis was supplemented by fractal dimension calculations of the glassy pyroclasts. The fractal dimensions of the glass shards range from 1.06802 to 1.50088, with an average value of 1.237072876, based on fractal dimension tests of 157 individual glass shards. The average and mean fractal-dimension values are similar to the theoretical Koch-flake (snowflake) value of 1.262, suggesting that the majority of the glass shards are bulky with complex boundaries. Light-microscopy and backscattered-electron-microscopy images confirm that the glass shards are typically bulky with fractured and complex particle outlines and low vesicularity; features that are observed in glass shards generated in either a laboratory setting or naturally through the interaction of hot melt and external water. Textural features identified in fine- and coarse-ash particles suggest that they were formed by brittle fragmentation both at the hot melt-water interface (forming active particles) as well as in the vicinity of the interaction interface. Brittle fragmentation may have occurred when hot melt rapidly penetrated abundant water-rich zones causing the melt to cool rapidly and rupture explosively.

electrodes expand/contract due to the Li-ion insertion/de-insertion that occurs within the active Li-insertion particles. Here a s imple elasticity problem, which considers the volumetric expansion of Li-active particles embedded in a glass matrix, is formulated and solved for the internal stress development taking place inside the electrode. The paper may be viewed as a first attempt to introduce the mechanics communi ty to a new, interesting area of stress analysis and fracture research pertaining to a class of nanocomposi tes used in high- energy storage materials