Evaluation functions and composition operators on Banach spaces of holomorphic functions

Let $B(\Omega)$ be the Banach space of holomorphic functions on a bounded connected domain $\Omega$ in $\mathbb C^n$, which contains the ring of polynomials on $\Omega$. In this paper we investigate the properties of evaluation functions on $B(\Omega)$ to show that the evaluation functions span the dual spaces $(B(\Omega ))^{*}$ of $B(\Omega )$ when $B(\Omega )$ is reflexive. We give the necessary and sufficient conditions for the space $B(\Omega )$ to be reflexive via the evaluation functions. Moreover, under suitable assumptions on $\Omega$ and $B(\Omega)$, we establish a characterization of holomorphic self-map $\varphi:\Omega\to\Omega$ such that the composition operator $C_\varphi$ is a Fredholm operator on $B(\Omega)$ by using the symbols of composition operators to construct a linearly independent function sequence, which extends the recent result by Guangfu Cao, Li He and Kehe Zhu. Our proof does not depend on the boundary behaviour of the evaluation functions

The role of tumor induced immune tolerance by tumor associated macrophages in hepatocellular carcinoma

Hepatocellular carcinoma (HCC) is a lethal disease with limited treatment options. Immunotherapy is revolutionizing cancer care, but FDA approved immune checkpoint inhibitors still only function in a minority of patients. Elucidating the underlying mechanism is required to improve targeted immunotherapy. This study explores the role of tumor-associated macrophages (TAMs) on tumor growth and tumor-induced immune tolerance

Strategic modification of ligands for remarkable piezochromic luminescence (PCL) based on a neutral Ir(iii) phosphor

A new aggregation-induced emission (AIE)-active neutral Ir(III) complex has been rationally designed and synthesized by introducing carboxyl and F substituents into the ancillary and cyclometalating ligands, respectively, to construct different kinds of intermolecular interaction, leading to excellent piezochromic luminescence (PCL) properties. The emission colours are tunable by a grinding–fuming/heating process with good reversibility in the solid state. A combination of powder X-ray diffraction, differential scanning calorimetry, 1H NMR, X-ray photoelectron and Fourier-transform infrared spectroscopy unambiguously confirm that the mechanism of PCL involves disruption of the intermolecular π–π interactions and hydrogen bonding. The combined AIE and PCL properties have enabled an efficient re-writable data recording device to be fabricated using the Ir(III) complex as the active material

rac-(S)-2-(1H-Imidazol-1-yl)-3-methyl­butan-1-ol

In the crystal structure of the title compound, C8H14N2O, inter­molecular O—H⋯N hydrogen bonds link mol­ecules related by translation along the a axis into chains. Weak inter­molecular C—H⋯O hydrogen bonds and C—H⋯π inter­actions enhance the crystal packing stability

New ionic dinuclear Ir(III) Schiff base complexes with aggregation-induced phosphorescent emission (AIPE)

Two new ionic dinuclear Ir(III) Schiff base complexes which are straightforward to synthesise have luminescence quantum yields as high as 37% in neat films. These are the first examples of dinuclear ionic Ir(III) complexes that display aggregation-induced phosphorescent emission (AIPE)

Transcriptional and Translational Relationship in Environmental Stress: RNAseq and ITRAQ Proteomic Analysis Between Sexually Reproducing and Parthenogenetic Females in Moina micrura

Moina micrura is a kind of small-bodied water flea within the family Moinidae. Similar to Daphnia, M. micrura could also switch its reproduction mode from parthenogenetic female (PF) to sexual female (SF) to adapt to the external environment. To uncover the mechanisms of reproductive switching in M. micrura, we used both RNA-Seq and iTRAQ analyses to investigate the differentially expressed genes (DEGs) and their protein products between SF and PF in M. micrura. A total of 1665 DEGs (702 up-regulated, 963 down-regulated) and 600 differentially expressed proteins (DEPs) (102 up-regulated, 498 down-regulated) were detected in SF. Correlation analyses indicated that 31 genes were expressed significantly differentially at both transcriptomic and proteomic levels, including 15 up-regulated genes and 16 down-regulated genes in SF. Meanwhile, our data also showed that 528 DEPs have discordant expression at transcript level, implying post-transcriptional (including translational) regulation. These top up-regulated genes and their protein products in SF were mainly grouped into the globin-related family, vitellogenin-related family, cuticle-related family, Hsp-related family and methyltransferases-related family, which were all involved in the reproductive switching in Daphnia. In contrast, a cluster of orthologous groups revealed that up-regulated genes and their protein products in PF were strongly associated with the metabolic process, which may be responsible for rapid population proliferation in M. micrura

Multiplexed Monitoring of Neurochemicals via Electrografting- Enabled Site-Selective Functionalization of Aptamers on Field-Effect Transistors

Neurochemical corelease has received much attention in understanding brain activity and cognition. Despite many attempts, the multiplexed monitoring of coreleased neurochemicals with spatiotemporal precision and minimal crosstalk using existing methods remains challenging. Here, we report a soft neural probe for multiplexed neurochemical monitoring via the electrografting-assisted site-selective functionalization of aptamers on graphene field-effect transistors (G-FETs). The neural probes possess excellent flexibility, ultralight mass (28 mg), and a nearly cellular-scale dimension of 50 μm × 50 μm for each G-FET. As a demonstration, we show that G-FETs with electrochemically grafted molecular linkers (−COOH or −NH2) and specific aptamers can be used to monitor serotonin and dopamine with high sensitivity (limit of detection: 10 pM) and selectivity (dopamine sensor \u3e22-fold over norepinephrine; serotonin sensor \u3e17-fold over dopamine). In addition, we demonstrate the feasibility of the simultaneous monitoring of dopamine and serotonin in a single neural probe with minimal crosstalk and interferences in phosphate-buffered saline, artificial cerebrospinal fluid, and harvested mouse brain tissues. The stability studies show that multiplexed neural probes maintain the capability for simultaneously monitoring dopamine and serotonin with minimal crosstalk after incubating in rat cerebrospinal fluid for 96 h, although a reduced sensor response at high concentrations is observed. Ex vivo studies in harvested mice brains suggest potential applications in monitoring the evoked release of dopamine and serotonin. The developed multiplexed detection methodology can also be adapted for monitoring other neurochemicals, such as metabolites and neuropeptides, by simply replacing the aptamers functionalized on the G-FETs