Morse potential and its relationship with the Coulomb in a position-dependent mass background

We provide some explicit examples wherein the Schr\"odinger equation for the Morse potential remains exactly solvable in a position-dependent mass background. Furthermore, we show how in such a context, the map from the full line $(- \infty, \infty)$ to the half line $(0, \infty)$ may convert an exactly solvable Morse potential into an exactly solvable Coulomb one. This generalizes a well-known property of constant-mass problems.Comment: 9 pages, no figure; final published versio

Ultrahigh Penetration and Retention of Graphene Quantum Dot Mesoporous Silica Nanohybrids for Image Guided Tumor Regression

Funding: This work was supported by Department of Biotechnology, Government of India. J.C. acknowledges the European Research Council Starting Grant (ERC-StG-2019-848325). We thank the staff of animal house, NCCS, Pune for supporting us during animal studies. We also thank Mr. Sumit for the discussion and Dr. Mukesh K. Kumawat for providing GQDs.So far, near-infrared (NIR) light responsive nanostructures have been well-defined in cancer nanomedicine. However, poor penetration and retention in tumors are the limiting factors. Here, we report the ultrahigh penetration and retention of carbanosilica (graphene quantum dots, GQDs embedded mesoporous silica) in solid tumors. After NIR light exposure, quick (0.5 h) emission from the tumor area is observed that is further retained up to a week (tested up to 10 days) with a single dose administration of nanohybrids. Emissive and photothermally active GQDs and porous silica shell (about 31% drug loading) make carbanosilica a promising nanotheranostic agent exhibiting 68.75% tumor shrinking compared to without NIR light exposure (34.48%). Generated heat (∼52 °C) alters the permeability of tumor enhancing the accumulation of nanotheranostics into the tumor environment. Successive tumor imaging ensures the prolonged follow-up of image guided tumor regression due to synergistic therapeutic effect of nanohybrids.publishersversionpublishe

Liposomal nanotheranostics for multimode targeted in vivo bioimaging and near‐infrared light mediated cancer therapy

Developing a nanotheranostic agent with better image resolution and high accumulation into solid tumor microenvironment is a challenging task. Herein, we established a light mediated phototriggered strategy for enhanced tumor accumulation of nanohybrids. A multifunctional liposome based nanotheranostics loaded with gold nanoparticles (AuNPs) and emissive graphene quantum dots (GQDs) were engineered named as NFGL. Further, doxorubicin hydrochloride was encapsulated in NFGL to exhibit phototriggered chemotherapy and functionalized with folic acid targeting ligands. Encapsulated agents showed imaging bimodality for in vivo tumor diagnosis due to their high contrast and emissive nature. Targeted NFGL nanohybrids demonstrated near infrared light (NIR, 750 nm) mediated tumor reduction because of generated heat and Reactive Oxygen Species (ROS). Moreover, NFGL nanohybrids exhibited remarkable ROS scavenging ability as compared to GQDs loaded liposomes validated by antitumor study. Hence, this approach and engineered system could open new direction for targeted imaging and cancer therapy.publishersversionpublishe

A general scheme for the effective-mass Schrodinger equation and the generation of the associated potentials

A systematic procedure to study one-dimensional Schr\"odinger equation with a position-dependent effective mass (PDEM) in the kinetic energy operator is explored. The conventional free-particle problem reveals a new and interesting situation in that, in the presence of a mass background, formation of bound states is signalled. We also discuss coordinate-transformed, constant-mass Schr\"odinger equation, its matching with the PDEM form and the consequent decoupling of the ambiguity parameters. This provides a unified approach to many exact results known in the literature, as well as to a lot of new ones.Comment: 16 pages + 1 figure; minor changes + new "free-particle" problem; version published in Mod. Phys. Lett.

Well-posedness for degenerate third order equations with delay and applications to inverse problems

[EN] In this paper, we study well-posedness for the following third-order in time equation with delay <disp-formula idoperators defined on a Banach space X with domains D(A) and D(B) such that t)is the state function taking values in X and u(t): (-, 0] X defined as u(t)() = u(t+) for < 0 belongs to an appropriate phase space where F and G are bounded linear operators. Using operator-valued Fourier multiplier techniques we provide optimal conditions for well-posedness of equation (0.1) in periodic Lebesgue-Bochner spaces Lp(T,X), periodic Besov spaces Bp,qs(T,X) and periodic Triebel-Lizorkin spaces Fp,qs(T,X). A novel application to an inverse problem is given.The first, second and third authors have been supported by MEC, grant MTM2016-75963-P. The second author has been supported by AICO/2016/30. The fourth author has been supported by MEC, grant MTM2015-65825-P.Conejero, JA.; Lizama, C.; Murillo-Arcila, M.; Seoane Sepúlveda, JB. (2019). 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Exosome-Mediated Crosstalk between Keratinocytes and Macrophages in Cutaneous Wound Healing

Bidirectional cell–cell communication involving exosome-borne cargo such as miRNA has emerged as a critical mechanism for wound healing. Unlike other shedding vesicles, exosomes selectively package miRNA by SUMOylation of heterogeneous nuclear ribonucleoproteinA2B1 (hnRNPA2B1). In this work, we elucidate the significance of exosome in keratinocyte–macrophage crosstalk following injury. Keratinocyte-derived exosomes were genetically labeled with GFP-reporter (Exoκ-GFP) using tissue nanotransfection (TNT), and they were isolated from dorsal murine skin and wound-edge tissue by affinity selection using magnetic beads. Surface N-glycans of Exoκ-GFP were also characterized. Unlike skin exosome, wound-edge Exoκ-GFP demonstrated characteristic N-glycan ions with abundance of low-base-pair RNA and was selectively engulfed by wound macrophages (ωmϕ) in granulation tissue. In vitro addition of wound-edge Exoκ-GFP to proinflammatory ωmϕ resulted in conversion to a proresolution phenotype. To selectively inhibit miRNA packaging within Exoκ-GFPin vivo, pH-responsive keratinocyte-targeted siRNA-hnRNPA2B1 functionalized lipid nanoparticles (TLNPκ) were designed with 94.3% encapsulation efficiency. Application of TLNPκ/si-hnRNPA2B1 to the murine dorsal wound-edge significantly inhibited expression of hnRNPA2B1 by 80% in epidermis compared to the TLNPκ/si-control group. Although no significant difference in wound closure or re-epithelialization was observed, the TLNPκ/si-hnRNPA2B1 treated group showed a significant increase in ωmϕ displaying proinflammatory markers in the granulation tissue at day 10 post-wounding compared to the TLNPκ/si-control group. Furthermore, TLNPκ/si-hnRNPA2B1 treated mice showed impaired barrier function with diminished expression of epithelial junctional proteins, lending credence to the notion that unresolved inflammation results in leaky skin. This work provides insight wherein Exoκ-GFP is recognized as a major contributor that regulates macrophage trafficking and epithelial barrier properties postinjury

Numerical Simulation of Ventilation in Underground Mines - A Review

Cost component for ventilating a mine is increasing day by day. With depletion of shallower deposits, depth of mine and hence its ventilation cost is increasing. This necessitates more aggressive effort to optimally use ventilation energy by reducing wastage and excesses, and requires ventilation reorganizational planning an integral part of mine planning system. Ventilation simulation software are required to solve complicated mine ventilation networks in order to obtain solution for most economic ventilation lay out, optimum specification of fan, position and dimension of shaft and other openings, Natural Ventilation Pressure (NVP) and effect of seasonal variation. A number of such software has different features and capabilities and selection of ventilation simulation software for addressing specific problems of a mine sometimes becomes a tricky issue. This paper gives an overview of various ventilation simulation softwares available and a comparison of important features and capabilities of most used software which may become a useful decision tool

Contaminant Dilution Based Ventilation Study for Narwapahar Mine

There is a continuous changes in the Indian mining industry in terms of mechanization and manpower. The number of diesel powered equipments is increasing and the manpower is decreasing day by day. But, the Indian regulation related to ventilation, based mainly on manpower and production. The air quantity based on manpower and production is unable to meet ventilation requirement for dilution various contaminants particularly diesel particulate matter (DPM) in mechanized mines largely using diesel equipments. This paper examines the air quantity requirement of Narwapahar mine based on different regulations and international practices and studies the dilution behavior of dust, noxious gases and DPM. Ventsim Visual software has been used for the simulation of air quantity and contaminant