On Hirschman and log-Sobolev inequalities in mu-deformed Segal-Bargmann analysis

We consider a deformation of Segal-Bargmann space and its transform. We study L^p properties of this transform and obtain entropy-entropy inequalities (Hirschman) and entropy-energy inequalities (log-Sobolev) that generalize the corresponding known results in the undeformed theory.Comment: 42 pages, 3 figure

Optimization search effort over the control landscapes for open quantum systems with Kraus-map evolution

A quantum control landscape is defined as the expectation value of a target observable $\Theta$ as a function of the control variables. In this work control landscapes for open quantum systems governed by Kraus map evolution are analyzed. Kraus maps are used as the controls transforming an initial density matrix $\rho_{\rm i}$ into a final density matrix to maximize the expectation value of the observable $\Theta$. The absence of suboptimal local maxima for the relevant control landscapes is numerically illustrated. The dependence of the optimization search effort is analyzed in terms of the dimension of the system $N$, the initial state $\rho_{\rm i}$, and the target observable $\Theta$. It is found that if the number of nonzero eigenvalues in $\rho_{\rm i}$ remains constant, the search effort does not exhibit any significant dependence on $N$. If $\rho_{\rm i}$ has no zero eigenvalues, then the computational complexity and the required search effort rise with $N$. The dimension of the top manifold (i.e., the set of Kraus operators that maximizes the objective) is found to positively correlate with the optimization search efficiency. Under the assumption of full controllability, incoherent control modelled by Kraus maps is found to be more efficient in reaching the same value of the objective than coherent control modelled by unitary maps. Numerical simulations are also performed for control landscapes with linear constraints on the available Kraus maps, and suboptimal maxima are not revealed for these landscapes.Comment: 29 pages, 8 figure

Current trend in synthesis, Post-Synthetic modifications and biological applications of Nanometal-Organic frameworks (NMOFs)

Since the early reports of MOFs and their interesting properties, research involving these materials has grown wide in scope and applications. Various synthetic approaches have ensued in view of obtaining materials with optimised properties, the extensive scope of application spanning from energy, gas sorption, catalysis biological applications has meant exponentially evolved over the years. The far‐reaching synthetic and PSM approaches and porosity control possibilities have continued to serve as a motivation for research on these materials. With respect to the biological applications, MOFs have shown promise as good candidates in applications involving drug delivery, BioMOFs, sensing, imaging amongst others. Despite being a while away from successful entry into the market, observed results in sensing, drug delivery, and imaging put these materials on the spot light as candidates poised to usher in a revolution in biology. In this regard, this review article focuses current approaches in synthesis, post functionalization and biological applications of these materials with particular attention on drug delivery, imaging, sensing and BioMOFs

Multi-band fluorescence imaging and cell collection device for in vivo tumor characterization and growth assessment in xenograft mouse models

Mouse models are essential tools for understanding cancer growth and accelerating the development of therapeutic and diagnostic technologies. Xenografts, generated by implanting tumor cells directly into mice through injection, are frequently used to study cancer biology and therapeutics. In these models, assessment of tumor growth and development is necessary to support the study of disease progression and model validation. Unfortunately, such measurements often require sacrificing the animal to create organ explants or tissue cultures, resulting in increased animal use and hampering longitudinal measurements of individual tumors. A tool enabling in vivo tumor monitoring for xenograft models could improve the efficiency of these animal models and provide more robust growth measurements through true longitudinal measurement. One method of optical tumor assessment involves tagging biomolecules of interest with fluorescent species to enable detection with minimally invasive fluorescence imaging, implemented endoscopically or laparoscopically. However, utilizing fluorescence imaging in vivo in murine models poses challenges due to both tortuous anatomy and small gastrointestinal lumen caliber. This work reports a miniature fluorescence imaging probe equipped with a multiband filter and biopsy device to image and sample fluorescently-tagged, xenografted tumors as they develop in mouse models. We present the design and characterization of the device and report measurements of the modulation transfer function and ex vivo imaging performance, demonstrating its promise as a valuable research tool to advance cancer research in xenograft models, enabling the development of imaging biomarkers for cancer detection in a clinical setting without the need for exogenous contrast. © COPYRIGHT SPIE. Downloading of the abstract is permitted for personal use only.Immediate accessThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at [email protected]

Hyperexpandable, self-healing macromolecular crystals with integrated polymer networks

The formation of condensed matter typically involves a trade-off between structural order and flexibility. As the extent and directionality of interactions between atomic or molecular components increase, materials generally become more ordered but less compliant, and vice versa. Nevertheless, high levels of structural order and flexibility are not necessarily mutually exclusive; there are many biological (such as microtubules1,2, flagella 3 , viruses4,5) and synthetic assemblies (for example, dynamic molecular crystals6-9 and frameworks10-13) that can undergo considerable structural transformations without losing their crystalline order and that have remarkable mechanical properties8,14,15 that are useful in diverse applications, such as selective sorption 16 , separation 17 , sensing 18 and mechanoactuation 19 . However, the extent of structural changes and the elasticity of such flexible crystals are constrained by the necessity to maintain a continuous network of bonding interactions between the constituents of the lattice. Consequently, even the most dynamic porous materials tend to be brittle and isolated as microcrystalline powders 14 , whereas flexible organic or inorganic molecular crystals cannot expand without fracturing. Owing to their rigidity, crystalline materials rarely display self-healing behaviour 20 . Here we report that macromolecular ferritin crystals with integrated hydrogel polymers can isotropically expand to 180 per cent of their original dimensions and more than 500 per cent of their original volume while retaining periodic order and faceted Wulff morphologies. Even after the separation of neighbouring ferritin molecules by 50 ångströms upon lattice expansion, specific molecular contacts between them can be reformed upon lattice contraction, resulting in the recovery of atomic-level periodicity and the highest-resolution ferritin structure reported so far. Dynamic bonding interactions between the hydrogel network and the ferritin molecules endow the crystals with the ability to resist fragmentation and self-heal efficiently, whereas the chemical tailorability of the ferritin molecules enables the creation of chemically and mechanically differentiated domains within single crystals