The author establishes a large deviation for k-dimensional Brownian motion B in stronger topology, by which the functional modulus of continuity for B in Holder norm can be obtained.
Historically,vision research in China was one of a few distinct research programs within the Chinese Academy of Sciences(CAS).With improved funding opportunities and research environment in neuroscience,vision researc...Historically,vision research in China was one of a few distinct research programs within the Chinese Academy of Sciences(CAS).With improved funding opportunities and research environment in neuroscience,vision research at several research institutes within the academy has made significant progress not only in the quantity of publications,but also in the quality of the work.Based on our own expertise,this review is mainly focused on the findings that have advanced the understanding of visual processing in the central visual pathway,visual perceptual learning,visual development and eye diseases.展开更多
Active Achilles tendon kinesitherapy facilitates the functional recovery of a ruptured Achilles tendon However, protein expression during the healing process remains a controversial issue. New Zealand rabbits, aged 14...Active Achilles tendon kinesitherapy facilitates the functional recovery of a ruptured Achilles tendon However, protein expression during the healing process remains a controversial issue. New Zealand rabbits, aged 14 weeks, underwent tenotomy followed immediately byAchilles tendon microsurgery to repair the Achilles tendon rupture. The tendon was then immobilized or subjected to postoperative early motion treatment （kinesitherapy）. Mass spectrography results showed that after 14 days of motion treatment, 18 protein spots were differentially expressed, among which, 12 were up-regulated, consisting of gelsolin isoform b and neurite growth-related protein collapsing response mediator protein 2. Western blot analysis showed that gelsolin isoform b was up-regulated at days 7-21 of motion treatment. These findings suggest that active Achilles tendon kinesitherapy promotes the neurite regeneration of a ruptured Achilles tendon and gelsolin isoform b can be used as a biomarker for Achilles tendon healing after kinesitherapy.展开更多
The path independence of additive functionals for stochastic differential equations (SDEs) driven by the G-Brownian motion is characterized by the nonlinear partial differential equations. The main result generalizes ...The path independence of additive functionals for stochastic differential equations (SDEs) driven by the G-Brownian motion is characterized by the nonlinear partial differential equations. The main result generalizes the existing ones for SDEs driven by the standard Brownian motion.展开更多
Stochastic differential equation (SDE) is an ordinary differential equation with a stochastic process that can model the unpredictable real-life behavior of any continuous systems. It is the combination of differentia...Stochastic differential equation (SDE) is an ordinary differential equation with a stochastic process that can model the unpredictable real-life behavior of any continuous systems. It is the combination of differential equations, probability theory, and stochastic processes. Stochastic differential equations arise in modeling a variety of random dynamic phenomena in physical, biological and social process. The SDE theory is traditionally used in physical science and financial mathematics. Recently, more researchers have been conducted in the application of SDE theory to various areas of engineering. This dissertation is mainly concerned with the existence of mild solutions for impulsive neutral stochastic differential equations with nonlocal conditions in Hilbert spaces. The results are obtained by using fractional powers of operator in the semigroup theory and Sadovskii fixed point theorem.展开更多
Based on the crystal structure of the vitamin B12 transporter protein of Escherichia coli(BtuCD) a system consisting of the BtuCD transmembrane domain(BtuC) and the palmitoyloleoyl phosphatidylcholine(POPC) lipid bila...Based on the crystal structure of the vitamin B12 transporter protein of Escherichia coli(BtuCD) a system consisting of the BtuCD transmembrane domain(BtuC) and the palmitoyloleoyl phosphatidylcholine(POPC) lipid bilayer was constructed in silica,and a more-than-57-nanosecond molecular dynamics(MD) simulation was performed on it to reveal the intrinsic functional motions of BtuC.The results showed that a stable protein-lipid bilayer was obtained and the POPC lipid bilayer was able to adjust its thickness to match the embedded BtuC which underwent relatively complicated motions.These results may help to understand the mechanism of transmembrane substrate transport at the atomic level.展开更多
文摘The author establishes a large deviation for k-dimensional Brownian motion B in stronger topology, by which the functional modulus of continuity for B in Holder norm can be obtained.
文摘Historically,vision research in China was one of a few distinct research programs within the Chinese Academy of Sciences(CAS).With improved funding opportunities and research environment in neuroscience,vision research at several research institutes within the academy has made significant progress not only in the quantity of publications,but also in the quality of the work.Based on our own expertise,this review is mainly focused on the findings that have advanced the understanding of visual processing in the central visual pathway,visual perceptual learning,visual development and eye diseases.
基金supported by the National Natural Science Foundation of China,No.30760256
文摘Active Achilles tendon kinesitherapy facilitates the functional recovery of a ruptured Achilles tendon However, protein expression during the healing process remains a controversial issue. New Zealand rabbits, aged 14 weeks, underwent tenotomy followed immediately byAchilles tendon microsurgery to repair the Achilles tendon rupture. The tendon was then immobilized or subjected to postoperative early motion treatment （kinesitherapy）. Mass spectrography results showed that after 14 days of motion treatment, 18 protein spots were differentially expressed, among which, 12 were up-regulated, consisting of gelsolin isoform b and neurite growth-related protein collapsing response mediator protein 2. Western blot analysis showed that gelsolin isoform b was up-regulated at days 7-21 of motion treatment. These findings suggest that active Achilles tendon kinesitherapy promotes the neurite regeneration of a ruptured Achilles tendon and gelsolin isoform b can be used as a biomarker for Achilles tendon healing after kinesitherapy.
文摘The path independence of additive functionals for stochastic differential equations (SDEs) driven by the G-Brownian motion is characterized by the nonlinear partial differential equations. The main result generalizes the existing ones for SDEs driven by the standard Brownian motion.
文摘Stochastic differential equation (SDE) is an ordinary differential equation with a stochastic process that can model the unpredictable real-life behavior of any continuous systems. It is the combination of differential equations, probability theory, and stochastic processes. Stochastic differential equations arise in modeling a variety of random dynamic phenomena in physical, biological and social process. The SDE theory is traditionally used in physical science and financial mathematics. Recently, more researchers have been conducted in the application of SDE theory to various areas of engineering. This dissertation is mainly concerned with the existence of mild solutions for impulsive neutral stochastic differential equations with nonlocal conditions in Hilbert spaces. The results are obtained by using fractional powers of operator in the semigroup theory and Sadovskii fixed point theorem.
基金supported by the National Natural Science Foundation of China (Grant Nos 20773006 and 30670497)the Beijing Natural Science Foun-dation (Grant Nos 7082006 and 5072002)the Specialized Research Fund for the Doctoral Program of Higher Education (Grant No 200800050003)
文摘Based on the crystal structure of the vitamin B12 transporter protein of Escherichia coli(BtuCD) a system consisting of the BtuCD transmembrane domain(BtuC) and the palmitoyloleoyl phosphatidylcholine(POPC) lipid bilayer was constructed in silica,and a more-than-57-nanosecond molecular dynamics(MD) simulation was performed on it to reveal the intrinsic functional motions of BtuC.The results showed that a stable protein-lipid bilayer was obtained and the POPC lipid bilayer was able to adjust its thickness to match the embedded BtuC which underwent relatively complicated motions.These results may help to understand the mechanism of transmembrane substrate transport at the atomic level.
