Inequalities and stability of stochastic Hopfield neural networks with discrete and distributed delays
NEUROCOMPUTING
Authors: Ruan, Dehao; Huang, Zhehao; Guo, Xiaoxia
Abstract
In this paper, the pth moment exponential stability and almost surely exponential stability of stochastic Hopfield neural networks with discrete and distributed delays are investigated. Some previous works are improved and extended. Our approach is based on constructing a class of integral inequalities and differ-ential inequalities, as well as stochastic analysis techniques. Our results neither require to construct a complicated Lyapunov function nor the differentiability of the delay function. In addition, two examples with their simulations are given to illustrate the effectiveness of the main results. (C) 2020 Elsevier B.V. All rights reserved.
Effects of intermittent treatment with parathyroid hormone (PTH) on osteoblastic differentiation and mineralization of mouse induced pluripotent stem cells in a 3D culture model
JOURNAL OF PERIODONTAL RESEARCH
Authors: Sato, Masahiro; Aoki, Hideto; Nakamura, Takashi; Onodera, Shoko; Yamaguchi, Akira; Saito, Atsushi; Azuma, Toshifumi
Abstract
Background/Objectives PTH plays an important role in bone remodeling, and different actions have been reported depending on its administration method. iPSCs are promising as a cell source for regeneration of periodontal tissue due to their ability of proliferation and pluripotency. However, the effects of PTH on iPSCs remain mostly unknown. The purpose of this study was to investigate in vitro effects of parathyroid hormone (PTH) on osteoblastic differentiation of induced pluripotent stem cells (iPSCs) in a 3D culture model. Materials and Methods Following embryoid body (EB) induction from mouse iPSCs (miPSCs), dissociated cells (miPS-EB-derived cells) were seeded onto atelocollagen sponge (ACS) in osteoblast differentiation medium (OBM). Cell-ACS constructs were divided into three groups: continuous treatment with human recombinant PTH (1-34) (PTH-C), intermittent PTH treatment (PTH-I) or OBM control. To confirm the expression of PTH receptor-1(PTH1R), the expression ofPth1rand cAMP production over time were assessed. Real-time PCR was used to assess the expression of genes encoding osterix (Sp7), runt-related transcription factor 2 (Runx2), collagen type 1 (Col1a1), and osteocalcin (Bglap) at different time points. Mineralization was assessed by von Kossa staining. Histochemical staining was used to analyze alkaline phosphatase (ALP) activity, and immunolocalization of SP7 and BGLAP was analyzed by confocal laser scanning microscopy (CLSM). Results On days 7 and 14, expression of thePth1rin miPS-EB-derived cells was increased in all groups. Production of cAMP, the second messenger of the PTH1R, tended to increase in the PTH-I group compared with PTH-C group on day 14. Expression ofCol1a1in the PTH-I group on day 14 was significantly higher than other groups. There was a time-dependent increase in the expression ofSp7in all groups. On day 14, the expression level ofSp7in the PTH-I group was significantly higher than other groups. In von Kossa staining, the PTH-I group showed higher level of staining compared with other groups on day 14, whereas the level was slightly attenuated in the PTH-C group. In histochemical staining, ALP-positive cells were significantly increased in the PTH-I group compared with other groups on day 14. In CLSM analysis, the numbers of SP7- and BGLAP-positive cells showed a gradual increase over time, and on day 14, a significantly greater SP7 expression was observed in the PTH-I group than other groups. Conclusion These results suggested that the intermittent PTH treatment promotes osteoblastic differentiation and mineralization of miPSCs in the ACS scaffold.