Infinitely many solutions of a second-order pp-Laplacian problem with impulsive condition

summary:Using the critical point theory and the method of lower and upper solutions, we present a new approach to obtain the existence of solutions to a $p$-Laplacian impulsive problem. As applications, we get unbounded sequences of solutions and sequences of arbitrarily small positive solutions of the $p$-Laplacian impulsive problem

Data-driven learning of the generalized Langevin equation with state-dependent memory

We present a data-driven method to learn stochastic reduced models of complex systems that retain a state-dependent memory beyond the standard generalized Langevin equation (GLE) with a homogeneous kernel. The constructed model naturally encodes the heterogeneous energy dissipation by jointly learning a set of state features and the non-Markovian coupling among the features. Numerical results demonstrate the limitation of the standard GLE and the essential role of the broadly overlooked state-dependency nature in predicting molecule kinetics related to conformation relaxation and transition

A micro capacitive pressure sensor with two deformable electrodes : design, optimization and fabrication

Ph.DDOCTOR OF PHILOSOPH

Aqua­(2,9-dimethyl-1,10-phenanthroline-κ2 N,N′)bis­(2-hydroxy­benzoato-κO)manganese(II) 2,9-dimethyl-1,10-phenanthroline hemisolvate

In the asymmetric unit of the title complex, [Mn(C7H5O3)2(C14H12N2)(H2O)]·0.5C14H12N2, the MnII ion is coordinated by a bidentate 2,9-dimethyl-1,10-phenanthroline (dmphen) mol­ecule, one water mol­ecule and two monodentate 2-hydroxy­benzoate anions in a distorted trigonal-bipyramidal geometry. The OH group of the 2-hydroxy­benzoate anion is disordered over two positions with site-occupancy factors of 0.5. The asymmetric unit is completed with by an uncoordinated half-mol­ecule of dmphen, disordered about a crystallographic twofold axis. In the crystal structure, mol­ecules are linked into a two-dimensional framework by O—H⋯N, O—H⋯O and C—H⋯O hydrogen bonds. The packing of the structure is further stabilized by π–π stacking inter­actions involving dmphen mol­ecules, with centroid–centroid separations of 3.8027 (3) and 3.6319 (3) Å

EVOLVING CONCEPTS OF CHONDROGENIC DIFFERENTIATION: HISTORY, STATE-OF-THE-ART AND FUTURE PERSPECTIVES

As a cell source, multipotent mesenchymal stromal cells or mesenchymal stem cells (MSCs) are promising candidates for chondrogenic differentiation and subsequent cartilage regeneration. From previous literature, it is known that chondrogenic differentiation of MSCs inevitably leads to hypertrophy and subsequent endochondral ossification. In this review, we examine the history of currently established protocols of chondrogenic differentiation and elaborate on the roles of individual components of chondrogenic differentiation medium. We also summarise the effects of physical, chemical and biological factors involved, and propose potential strategies to differentiate MSCs into articular chondrocytes with homogenous mature phenotypes through spatial-temporal incorporation of cell differentiation and chondrogenesis