Chore Cutting: Envy and Truth

We study the fair division of divisible bad resources with strategic agents who can manipulate their private information to get a better allocation. Within certain constraints, we are particularly interested in whether truthful envy-free mechanisms exist over piecewise-constant valuations. We demonstrate that no deterministic truthful envy-free mechanism can exist in the connected-piece scenario, and the same impossibility result occurs for hungry agents. We also show that no deterministic, truthful dictatorship mechanism can satisfy the envy-free criterion, and the same result remains true for non-wasteful constraints rather than dictatorship. We further address several related problems and directions.Comment: arXiv admin note: text overlap with arXiv:2104.07387 by other author

Correlation of biocapping agents with cytotoxic effects of silver nanoparticles on human tumor cells

10.1039/C3RA41346BRSC Advances314329-1433

Theranostic potential of gold nanoparticle-protein agglomerates

Owing to the ever-increasing applications, glittered with astonishing success of gold nanoparticles (Au NPs) in biomedical research as diagnostic and therapeutic agents, the study of Au NP-protein interaction seems critical for maximizing their theranostic efficiency, and thus demands comprehensive understanding. The mutual interaction of Au NPs and proteins at physiological conditions may result in the aggregation of protein, which can ultimately lead to the formation of Au NP–protein agglomerates. In the present article, we try to appreciate the plausible steps involved in the Au NP-induced aggregation of proteins and also the importance of the proteins’ three-dimensional structures in the process. The Au NP-protein agglomerates can potentially be exploited for efficient loading and subsequent release of various therapeutically important molecules, including anticancer drugs, with the unique opportunity of incorporating hydrophilic as well as hydrophobic drugs in the same nanocarrier system. Moreover, the Au NP–protein agglomerates can act as 'self-diagnostic' systems, allowing investigation of the conformational state of the associated protein(s) as well as the protein–protein or protein–Au NP interaction within the agglomerates. Furthermore, the potential of these Au NP–protein agglomerates as a novel platform for multifunctional theranostic application along with exciting future-possibilities is highlighted here

Induction of apoptosis in cancer cells at low silver nanoparticle concentrations using chitosan nanocarrier

We report the development of a chitosan nanocarrier (NC)-based delivery of silver nanoparticles (Ag NPs) to mammalian cells for induction of apoptosis at very low concentrations of the NPs. The cytotoxic efficacy of the Ag NP-nanocarrier (Ag-CS NC) system in human colon cancer cells (HT 29) was examined by morphological analyses and biochemical assays. Cell viability assay demonstrated that the concentration of Ag NPs required to reduce the viability of HT 29 cells by 50% was 0.33 μg mL⁻¹, much less than in previously reported data. The efficient induction of apoptosis by Ag-CS NCs was confirmed by flow cytometry. Additionally, the characteristic nuclear and morphological changes during apoptotic cell death were investigated by fluorescence and scanning electron microscopy (SEM), respectively. The involvement of mitochondrial pathway of cell death in the Ag-CS NCs induced apoptosis was evident from the depolarization of mitochondrial membrane potential (ΔΨ_m). Real time quantitative RT-PCR analysis demonstrated the up-regulation of caspase 3 expression which was further reflected in the formation of oligo-nucleosomal DNA "ladders" in Ag-CS NCs treated cells, indicating the important role of caspases in the present apoptotic process. The increased production of intracellular ROS due to Ag-CS NCs treatment indicated that the oxidative stress could augment the induction of apoptosis in HT 29 cells in addition to classical caspase signaling pathway. The use of significantly low concentration of Ag NPs impregnated in chitosan nanocarrier is a much superior approach in comparison to the use of free Ag NPs in cancer therapy

Green fluorescent protein for in situ synthesis of highly uniform Au nanoparticles and monitoring protein denaturation

Purified recombinant green fluorescent protein (GFP) expressed in E. coli was used for single-step synthesis of gold nanoparticles (Au NPs) with extraordinary size specificity in aqueous medium. The fluorescence of GFP offered a probe for concomitant changes in the protein during the course of synthesis, in addition to the monitoring of the time-dependent formation of Au NPs by the surface plasmon resonance. Reaction of AuCl−4 with the protein produced spherical Au NPs having diameters ranging from 5–70 nm. Remarkably, addition of 1.0×10−5 M AgNO3 in the medium produced uniform spherical Au NPs with particle diameter of 2.2±0.5 nm. Fluorescence spectroscopic measurements suggest that during synthesis of Au NPs in absence of AgNO3, partial denaturation of the protein occurred resulting in the lowering of fluorescence intensity. On the other hand, when the NPs were synthesized in the presence of AgNO3 complete denaturation of the protein with complete loss of fluorescence could be observed, which was further confirmed by native and sodium dodecyl sulfate (SDS) polyacrylamide gel electrophoresis (PAGE). However, use of AgNO3 only resulted neither in the formation of NPs nor had any significant effect on the fluorescence of GFP