This work focuses on the second type of generalized Feigenbaum's equation {φ(f(x))=f(f(φ(x))),f(0)=1,0≤f(x)≤1,x∈{0,1},where φ(x) is C∞-increasing function on [0, 1] and satisfies that φ(0) =...This work focuses on the second type of generalized Feigenbaum's equation {φ(f(x))=f(f(φ(x))),f(0)=1,0≤f(x)≤1,x∈{0,1},where φ(x) is C∞-increasing function on [0, 1] and satisfies that φ(0) = 0,0 〈 φ′(x) 〈 1 (x ∈ [0, 1]). Using constructive method, we discuss the existence of C∞-single-valley solutions whose derivatives are not equal to 0 on origin of the above equation.展开更多
Our previous study used regional homogeneity analysis and found that activity in some brain areas of patients with ischemic stroke changed significantly. In the current study, we examined structural changes in these b...Our previous study used regional homogeneity analysis and found that activity in some brain areas of patients with ischemic stroke changed significantly. In the current study, we examined structural changes in these brain regions by taking structural magnetic resonance imaging scans of 11 ischemic stroke patients and 15 healthy participants, and analyzing the data using voxel-based morphometry. Compared with healthy participants, patients exhibited higher gray matter density in the left inferior occipital gyrus and right anterior white matter tract. In contrast, gray matter density in the right cerebellum, left precentral gyrus, right middle frontal gyrus, and left middle temporal gyrus was less in ischemic stroke patients. The changes of gray matter density in the middle frontal gyrus were negatively associated with the clin- ical rating scales of the Fugl-Meyer Motor Assessment (r = -0.609, P = 0.047) and the left middle temporal gyrus was negatively correlated with the clinical rating scales of the nervous functional deficiency scale (r = -0.737, P = 0.010). Our findings call objectively identify the functional abnormality in some brain regions of ischemic stroke patients.展开更多
为了探索奥克托今(HMX)固含量、体系温度、HMX粒度、HMX颗粒级配及功能助剂等对2,4‐二硝基苯甲醚(DNAN)/HMX悬浮液流变性的影响规律,采用数字粘度仪,研究了不同物料状态下DNAN/HMX悬浮体系的表观粘度。结果表明:当HMX固含量为3%时,悬...为了探索奥克托今(HMX)固含量、体系温度、HMX粒度、HMX颗粒级配及功能助剂等对2,4‐二硝基苯甲醚(DNAN)/HMX悬浮液流变性的影响规律,采用数字粘度仪,研究了不同物料状态下DNAN/HMX悬浮体系的表观粘度。结果表明:当HMX固含量为3%时,悬浮液呈现牛顿流体特性;HMX固含量为12%~30%时,该悬浮液表观粘度可用Ostwald‐de Waele模型进行描述,非牛顿指数n值从0.842降低到0.374。95~116℃时,温度对表观粘度的影响可以用Arrhenius方程描述,活化能Ea从25.97 k J?mol^(-1)增加到30.17 k J?mol^(-1)。表观粘度随着粒度的增大而降低,当粒度为999.5μm与粒度为132.6μm的颗粒级配比为2∶1时,表观粘度达到最小值,且固含量可达80%。功能助剂N‐甲基‐4‐硝基苯胺(MNA)、三‐(β氯乙基)磷酸酯(CEF)降低了悬浮液的表观粘度,而脱水山梨醇单硬脂酸酯聚氧乙烯醚(吐温60)、微晶蜡‐80(MV80)、乙酸丁酸纤维素(CAB)、热塑性聚氨酯‐5702(TPU5702)提高了悬浮液的表观粘度。展开更多
Developing a reliable system to efficiently and safely deliver peptide drugs into tumor tissues still remains a great challenge since the instability of peptide drugs and low ability to traverse the cell membrane. Her...Developing a reliable system to efficiently and safely deliver peptide drugs into tumor tissues still remains a great challenge since the instability of peptide drugs and low ability to traverse the cell membrane. Herein, we constructed a multifunctional nanoplatform based on porous europium/gadolinium (Eu/Gd)-doped NaLa(MoO4)2 nanoparticles (NLM NPs) to deliver antitumor peptide of B-cell lymphoma/leukemia-2-like protein 11 (BIM) for cancer therapy. The porous NLM NPs exhibited inherent photoluminescent, magnetic and X-ray absorbable properties, which enable them for triple-modal bioimaging, including fluorescence, magnetic resonance imaging (MRI) and computed tomography (CT). This triple-modal bioimaging can contribute to monitoring NLM NPs biodistribution and guiding therapy in vitro and in vivo. Furthermore, the NLM NPs showed negligible cytotoxicity in vitro and tissue toxicity in vivo. Importantly, NLM NPs could load the antitumor peptide of BIM and efficiently improve the resistance of peptide drugs to proteolysis. The BIM peptide was efficiently delivered into the tumor cells by NLM NPs, which can inhibit the growth and promote the apoptosis of cancer cells in vitro, significantly inhibit the tumor growth in vivo. Notably, NLM-BIM theranostic nanoplatform exhibits low systemic toxicity and fewer side effects in vivo. The NLM NPs can serve as a promising multifunctional peptide delivery nanoplatform for multi-modal bioimaging and cancer therapy.展开更多
基金Supported by National Natural Science Foundation of China,Tian Yuan Foundation(Grant No.11326129)the Fundamental Research Funds for the Central Universities(Grant No.14CX02152A)
文摘This work focuses on the second type of generalized Feigenbaum's equation {φ(f(x))=f(f(φ(x))),f(0)=1,0≤f(x)≤1,x∈{0,1},where φ(x) is C∞-increasing function on [0, 1] and satisfies that φ(0) = 0,0 〈 φ′(x) 〈 1 (x ∈ [0, 1]). Using constructive method, we discuss the existence of C∞-single-valley solutions whose derivatives are not equal to 0 on origin of the above equation.
基金financially supported by the National Program on Key Basic Research Project of China(973 Program)No.2012CB518501the National Natural Science Foundation of China,No.81072864
文摘Our previous study used regional homogeneity analysis and found that activity in some brain areas of patients with ischemic stroke changed significantly. In the current study, we examined structural changes in these brain regions by taking structural magnetic resonance imaging scans of 11 ischemic stroke patients and 15 healthy participants, and analyzing the data using voxel-based morphometry. Compared with healthy participants, patients exhibited higher gray matter density in the left inferior occipital gyrus and right anterior white matter tract. In contrast, gray matter density in the right cerebellum, left precentral gyrus, right middle frontal gyrus, and left middle temporal gyrus was less in ischemic stroke patients. The changes of gray matter density in the middle frontal gyrus were negatively associated with the clin- ical rating scales of the Fugl-Meyer Motor Assessment (r = -0.609, P = 0.047) and the left middle temporal gyrus was negatively correlated with the clinical rating scales of the nervous functional deficiency scale (r = -0.737, P = 0.010). Our findings call objectively identify the functional abnormality in some brain regions of ischemic stroke patients.
文摘为了探索奥克托今(HMX)固含量、体系温度、HMX粒度、HMX颗粒级配及功能助剂等对2,4‐二硝基苯甲醚(DNAN)/HMX悬浮液流变性的影响规律,采用数字粘度仪,研究了不同物料状态下DNAN/HMX悬浮体系的表观粘度。结果表明:当HMX固含量为3%时,悬浮液呈现牛顿流体特性;HMX固含量为12%~30%时,该悬浮液表观粘度可用Ostwald‐de Waele模型进行描述,非牛顿指数n值从0.842降低到0.374。95~116℃时,温度对表观粘度的影响可以用Arrhenius方程描述,活化能Ea从25.97 k J?mol^(-1)增加到30.17 k J?mol^(-1)。表观粘度随着粒度的增大而降低,当粒度为999.5μm与粒度为132.6μm的颗粒级配比为2∶1时,表观粘度达到最小值,且固含量可达80%。功能助剂N‐甲基‐4‐硝基苯胺(MNA)、三‐(β氯乙基)磷酸酯(CEF)降低了悬浮液的表观粘度,而脱水山梨醇单硬脂酸酯聚氧乙烯醚(吐温60)、微晶蜡‐80(MV80)、乙酸丁酸纤维素(CAB)、热塑性聚氨酯‐5702(TPU5702)提高了悬浮液的表观粘度。
基金National Key R&D Program of China (No. 2017YFA0208000)the China National Funds for Excellent Young Scientists (No. 21522106)+3 种基金Key Laboratory of Shaanxi Province for Craniofacial Precision Medicine ResearchCollege of Stomatology, Xian Jiaotong University (No. 2018LHM-KFKT004)National Natural Science Foundation of China (Nos. 51502237, 51872224, and U1501245)We also appreciate Dr. Dong Su from the Center for Functional Nanomaterials at Brookhaven National Laboratory for his kind help in Electron Microscopy (EM) work.
文摘Developing a reliable system to efficiently and safely deliver peptide drugs into tumor tissues still remains a great challenge since the instability of peptide drugs and low ability to traverse the cell membrane. Herein, we constructed a multifunctional nanoplatform based on porous europium/gadolinium (Eu/Gd)-doped NaLa(MoO4)2 nanoparticles (NLM NPs) to deliver antitumor peptide of B-cell lymphoma/leukemia-2-like protein 11 (BIM) for cancer therapy. The porous NLM NPs exhibited inherent photoluminescent, magnetic and X-ray absorbable properties, which enable them for triple-modal bioimaging, including fluorescence, magnetic resonance imaging (MRI) and computed tomography (CT). This triple-modal bioimaging can contribute to monitoring NLM NPs biodistribution and guiding therapy in vitro and in vivo. Furthermore, the NLM NPs showed negligible cytotoxicity in vitro and tissue toxicity in vivo. Importantly, NLM NPs could load the antitumor peptide of BIM and efficiently improve the resistance of peptide drugs to proteolysis. The BIM peptide was efficiently delivered into the tumor cells by NLM NPs, which can inhibit the growth and promote the apoptosis of cancer cells in vitro, significantly inhibit the tumor growth in vivo. Notably, NLM-BIM theranostic nanoplatform exhibits low systemic toxicity and fewer side effects in vivo. The NLM NPs can serve as a promising multifunctional peptide delivery nanoplatform for multi-modal bioimaging and cancer therapy.