9 research outputs found
ΠΠΠΠΠ‘ΠΠΠΠ‘Π’Π¬ ΠΠ‘Π’ΠΠΠΠΠΠΠΠΠ ΠΠ€Π€ΠΠΠ’Π ΠΠ’ Π₯ΠΠ ΠΠΠ’ΠΠ ΠΠ‘Π’ΠΠ ΠΠΠ₯ΠΠΠΠ§ΠΠ‘ΠΠΠ₯ ΠΠΠΠ Π£ΠΠΠ ΠΠΠ‘Π’ΠΠ«Π₯ Π‘Π’Π Π£ΠΠ’Π£Π
Purpose of the study: to evaluate osteogenic rate of various characteristics of mechanical loading based on the authorsβΒ data as well as literature analysis.Literature analysis proved that clinical outcome of physical training can be achieved not only by increasing theΒ mechanical load but also by altering number of load iterations, rate of load acceleration, frequency of cyclic load, restΒ interval, distribution of load across the skeleton. Presented data provides a reasonable basis to apply alterations of allΒ above-mentioned load characteristics to obtain clinical effect and customize every single baseline exercise plan to gain aΒ maximum treatment and preventive effect in individuals with high risk of osteoporotic fractures.Π¦Π΅Π»Ρ: Π½Π° ΠΎΡΠ½ΠΎΠ²Π°Π½ΠΈΠΈ ΡΠΎΠ±ΡΡΠ²Π΅Π½Π½ΡΡ
Π΄Π°Π½Π½ΡΡ
ΠΈ Π°Π½Π°Π»ΠΈΠ·Π° Π»ΠΈΡΠ΅ΡΠ°ΡΡΡΡ ΠΎΡΠ΅Π½ΠΈΡΡ ΡΡΠ΅ΠΏΠ΅Π½Ρ ΠΎΡΡΠ΅ΠΎΠ³Π΅Π½Π½ΠΎΡΡΠΈ ΡΠ°Π·Π»ΠΈΡΠ½ΡΡ
Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊ ΠΌΠ΅Ρ
Π°Π½ΠΈΡΠ΅ΡΠΊΠΈΡ
Π½Π°Π³ΡΡΠ·ΠΎΠΊ.Β ΠΠ½Π°Π»ΠΈΠ· Π»ΠΈΡΠ΅ΡΠ°ΡΡΡΡ ΠΏΠΎ ΡΠ΅ΠΌΠ΅ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ ΠΏΠΎΠΊΠ°Π·ΡΠ²Π°Π΅Ρ, ΡΡΠΎ ΠΊΠ»ΠΈΠ½ΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠ° ΡΠΈΠ·ΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΡΠ΅Π½ΠΈΡΠΎΠ²ΠΎΠΊΒ ΠΌΠΎΠΆΠ½ΠΎ Π΄ΠΎΡΡΠΈΡΡ Π½Π΅ ΡΠΎΠ»ΡΠΊΠΎ ΠΏΡΡΠ΅ΠΌ ΡΠ²Π΅Π»ΠΈΡΠ΅Π½ΠΈΡ ΠΌΠ΅Ρ
Π°Π½ΠΈΡΠ΅ΡΠΊΠΈΡ
Π½Π°Π³ΡΡΠ·ΠΎΠΊ, Π½ΠΎ ΠΈ ΠΏΡΠΈ ΠΈΠ·ΠΌΠ΅Π½Π΅Π½ΠΈΠΈ ΠΊΠΎΠ»ΠΈΡΠ΅ΡΡΠ²Π° ΠΈΡ
ΠΏΠΎΠ²ΡΠΎΡΠ΅Π½ΠΈΠΉ, ΡΠΊΠΎΡΠΎΡΡΠΈ Π½Π°ΡΠ°ΡΡΠ°Π½ΠΈΡ Π½Π°Π³ΡΡΠ·ΠΊΠΈ, ΡΠ°ΡΡΠΎΡΡ ΡΠΈΠΊΠ»ΠΈΡΠ΅ΡΠΊΠΈΡ
Π½Π°Π³ΡΡΠ·ΠΎΠΊ, Π΄Π»ΠΈΡΠ΅Π»ΡΠ½ΠΎΡΡΠΈ ΠΈΠ½ΡΠ΅ΡΠ²Π°Π»Π° ΠΎΡΠ΄ΡΡ
Π° ΠΌΠ΅ΠΆΠ΄Ρ Π½ΠΈΠΌΠΈ,Β ΡΠ°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΡ Π½Π°Π³ΡΡΠ·ΠΎΠΊ Π² ΠΏΡΠΎΡΡΡΠ°Π½ΡΡΠ²Π΅ ΡΠΊΠ΅Π»Π΅ΡΠ°. ΠΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Π½ΡΠ΅ Π² ΡΠ°Π±ΠΎΡΠ΅ Π΄Π°Π½Π½ΡΠ΅ ΠΏΠΎΠ·Π²ΠΎΠ»ΡΡΡ ΠΎΠ±ΠΎΡΠ½ΠΎΠ²Π°Π½Π½ΠΎ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°ΡΡ ΠΈΠ·ΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ ΠΊΠ°ΠΆΠ΄ΠΎΠΉ ΠΈΠ· ΠΏΠ΅ΡΠ΅ΡΠΈΡΠ»Π΅Π½Π½ΡΡ
Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊ Π΄Π»Ρ ΠΏΠΎΠ»ΡΡΠ΅Π½ΠΈΡ ΠΊΠ»ΠΈΠ½ΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΡΡΠ΅ΠΊΡΠ° ΠΈ ΡΠΎΡΠΌΠΈΡΠΎΠ²Π°ΡΡ Π½Π° ΠΈΠ½Π΄ΠΈΠ²ΠΈΠ΄ΡΠ°Π»ΡΠ½ΠΎΠΉ ΠΎΡΠ½ΠΎΠ²Π΅ ΠΌΠΈΠ½ΠΈΠΌΠ°Π»ΡΠ½ΠΎ Π½Π΅ΠΎΠ±Ρ
ΠΎΠ΄ΠΈΠΌΡΠΉ ΡΠ΅ΠΆΠΈΠΌ ΡΡΠ΅Π½ΠΈΡΠΎΠ²ΠΎΠΊ, ΠΎΠ±Π΅ΡΠΏΠ΅ΡΠΈΠ²Π°ΡΡΠΈΠΉ ΠΌΠ°ΠΊΡΠΈΠΌΠ°Π»ΡΠ½ΡΠΉΒ Π»Π΅ΡΠ΅Π±Π½ΠΎ-ΠΏΡΠΎΡΠΈΠ»Π°ΠΊΡΠΈΡΠ΅ΡΠΊΠΈΠΉ ΡΡΡΠ΅ΠΊΡ Ρ Π»ΠΈΡ Ρ Π²ΡΡΠΎΠΊΠΈΠΌ ΡΠΈΡΠΊΠΎΠΌ ΠΎΡΡΠ΅ΠΎΠΏΠΎΡΠΎΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΏΠ΅ΡΠ΅Π»ΠΎΠΌΠΎΠ²
Perturbation-induced radiation by the Ablowitz-Ladik soliton
An efficient formalism is elaborated to analytically describe dynamics of the
Ablowitz-Ladik soliton in the presence of perturbations. This formalism is
based on using the Riemann-Hilbert problem and provides the means of
calculating evolution of the discrete soliton parameters, as well as shape
distortion and perturbation-induced radiation effects. As an example, soliton
characteristics are calculated for linear damping and quintic perturbations.Comment: 13 pages, 4 figures, Phys. Rev. E (in press
ΠΠ»ΠΈΡΠ½ΠΈΠ΅ Π²ΠΎΠ΄Ρ, ΡΠ°Π·Π»ΠΈΡΠ½ΡΡ Π²ΠΊΠ»ΡΡΠ΅Π½ΠΈΠΉ ΠΈ Π·Π°ΠΌΠ΅ΡΠ΅Π½ΠΈΠΉ Π½Π° ΡΠΈΠ·ΠΈΠΊΠΎ-Ρ ΠΈΠΌΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΡΠ²ΠΎΠΉΡΡΠ²Π° Π±ΠΈΠΎΠ°ΠΏΠ°ΡΠΈΡΠ° ΠΈ ΠΌΠ΅Ρ Π°Π½ΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΡΠ²ΠΎΠΉΡΡΠ²Π° ΠΌΠΈΠ½Π΅ΡΠ°Π»ΠΈΠ·ΠΎΠ²Π°Π½Π½ΡΡ ΡΠΊΠ°Π½Π΅ΠΉ
Basing on scientific publications and original research the authors specified the effect of incorporation and adsorption of different ions and water molecules on physical, chemical and mechanical properties of bioapatite and determined new directions for investigations of intercrystallite interactions in nanoscale. Inner structure of the apatite crystallites more adaptable to chemical substitutions in comparison with other minerals controls their important characteristics such as a size, solubility, hardness, fragility, formability and thermal stability. The water molecules incorporated in crystallites and adsorbed on their surfaces stabilize them. In case the distances between crystallites become shorter than 10 nm the water molecules adsorbed on their surface play dominant role in bonding between the crystallites. This bond determines the main mechanical properties of bones. We bring forward a suggestion that theoretical model developed on the basis of near edge X-ray spectroscopic studies of bones using the contemporary high brilliant sources of X-ray radiation (synchrotrons and X-ray free electrons lasers) will allow to receive new quantitative data on local electronic and atomic structure (coordination numbers, ionic charges, interatomic distances interatomic and intercrystallite forces) of nanoelements in osseous tissue. The investigation results must bring to construction of new morphologically correct model providing deeper understanding of processes occurring in mineral matrix and mechanical properties of bones.ΠΠ° ΠΎΡΠ½ΠΎΠ²Π΅ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠΎΠ² ΡΠΎΠ±ΡΡΠ²Π΅Π½Π½ΡΡ
ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠΉ ΠΈ Π΄Π°Π½Π½ΡΡ
Π»ΠΈΡΠ΅ΡΠ°ΡΡΡΡ ΠΎΡ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΠ·ΠΎΠ²Π°Π½Ρ Π²Π»ΠΈΡΠ½ΠΈΠ΅ Π½Π° ΡΠΈΠ·ΠΈΠΊΠΎ-Ρ
ΠΈΠΌΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΈ ΠΌΠ΅Ρ
Π°Π½ΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΡΠ²ΠΎΠΉΡΡΠ²Π° Π±ΠΈΠΎΠ°ΠΏΠ°ΡΠΈΡΠ°, ΠΈΠ½ΠΊΠΎΡΠΏΠΎΡΠ°ΡΠΈΠΈ Π² Π΅Π³ΠΎ ΡΡΡΡΠΊΡΡΡΡ ΠΈ Π°Π±ΡΠΎΡΠ±ΡΠΈΠΈ Π½Π° Π΅Π³ΠΎ ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠΈ ΡΠ°Π·Π»ΠΈΡΠ½ΠΎΠ³ΠΎ ΡΠΎΠ΄Π° ΠΈΠΎΠ½ΠΎΠ² ΠΈ Π²ΠΎΠ΄Ρ, Π° ΡΠ°ΠΊΠΆΠ΅ ΠΎΠΏΡΠ΅Π΄Π΅Π»Π΅Π½Ρ Π΄Π°Π»ΡΠ½Π΅ΠΉΡΠΈΠ΅ ΠΏΡΡΠΈ ΠΈΠ·ΡΡΠ΅Π½ΠΈΡ ΠΌΠ΅Ρ
Π°Π½ΠΈΠ·ΠΌΠΎΠ² ΠΌΠ΅ΠΆΠΊΡΠΈΡΡΡΠ°Π»Π»ΠΈΡΠ½ΡΡ
Π²Π·Π°ΠΈΠΌΠΎΠ΄Π΅ΠΉΡΡΠ²ΠΈΠΉ Π² Π½Π°Π½ΠΎΠΌΠ°ΡΡΡΠ°Π±Π΅. ΠΠ½ΡΡΡΠ΅Π½Π½ΡΡ ΡΡΡΡΠΊΡΡΡΠ° ΠΊΡΠΈΡΡΠ°Π»Π»ΠΈΡΠΎΠ² Π°ΠΏΠ°ΡΠΈΡΠ° Π±ΠΎΠ»Π΅Π΅ Π³ΠΈΠ±ΠΊΠ°Ρ, ΡΠ΅ΠΌ Ρ Π±ΠΎΠ»ΡΡΠΈΠ½ΡΡΠ²Π° Π΄ΡΡΠ³ΠΈΡ
ΠΌΠΈΠ½Π΅ΡΠ°Π»ΠΎΠ², ΠΈ ΠΎΡΠ½ΠΎΡΠΈΡΠ΅Π»ΡΠ½ΠΎ Π»Π΅Π³ΠΊΠΎ ΠΏΡΠΈΡΠΏΠΎΡΠ°Π±Π»ΠΈΠ²Π°Π΅ΡΡΡ ΠΊ Ρ
ΠΈΠΌΠΈΡΠ΅ΡΠΊΠΈΠΌ Π·Π°ΠΌΠ΅ΡΠ΅Π½ΠΈΡΠΌ, ΠΊΠΎΡΠΎΡΡΠ΅ ΠΈ ΠΎΠΏΡΠ΅Π΄Π΅Π»ΡΡΡ Π΅Π³ΠΎ Π±ΠΈΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈ Π·Π½Π°ΡΠΈΠΌΡΠ΅ Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊΠΈ, ΡΠ°ΠΊΠΈΠ΅ ΠΊΠ°ΠΊ ΡΠ°Π·ΠΌΠ΅Ρ, ΡΠ°ΡΡΠ²ΠΎΡΠΈΠΌΠΎΡΡΡ, ΡΠ²Π΅ΡΠ΄ΠΎΡΡΡ, Ρ
ΡΡΠΏΠΊΠΎΡΡΡ, Π΄Π΅ΡΠΎΡΠΌΠΈΡΡΠ΅ΠΌΠΎΡΡΡ ΠΈ ΡΠ΅ΠΏΠ»ΠΎΠ²Π°Ρ ΡΡΠ°Π±ΠΈΠ»ΡΠ½ΠΎΡΡΡ. Π ΡΡΠΈΡ
ΡΡΠ»ΠΎΠ²ΠΈΡΡ
ΠΌΠΎΠ»Π΅ΠΊΡΠ»Ρ Π²ΠΎΠ΄Ρ, Π²ΠΊΠ»ΡΡΠ΅Π½Π½ΡΠ΅ Π² ΡΡΡΡΠΊΡΡΡΡ ΠΊΡΠΈΡΡΠ°Π»Π»ΠΈΡΠ° ΠΈ Π°Π΄ΡΠΎΡΠ±ΠΈΡΠΎΠ²Π°Π½Π½ΡΠ΅ Π½Π° Π΅Π³ΠΎ ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠΈ, ΡΠ²Π»ΡΡΡΡΡ ΡΡΠ°Π±ΠΈΠ»ΠΈΠ·ΠΈΡΡΡΡΠΈΠΌ ΡΠ°ΠΊΡΠΎΡΠΎΠΌ. ΠΡΠΈ ΡΠ±Π»ΠΈΠΆΠ΅Π½ΠΈΠΈ ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠ΅ΠΉ ΠΊΡΠΈΡΡΠ°Π»Π»ΠΈΡΠΎΠ² Π½Π° ΡΠ°ΡΡΡΠΎΡΠ½ΠΈ