A Generalized LMI Formulation for Input-Output Analysis of Linear Systems of ODEs Coupled with PDEs

In this paper, we consider input-output properties of linear systems consisting of PDEs on a finite domain coupled with ODEs through the boundary conditions of the PDE. This framework can be used to represent e.g. a lumped mass fixed to a beam or a system with delay. This work generalizes the sufficiency proof of the KYP Lemma for ODEs to coupled ODE-PDE systems using a recently developed concept of fundamental state and the associated boundary-condition-free representation. The conditions of the generalized KYP are tested using the PQRS positive matrix parameterization of operators resulting in a finite-dimensional LMI, feasibility of which implies prima facie provable passivity or L2-gain of the system. No discretization or approximation is involved at any step and we use numerical examples to demonstrate that the bounds obtained are not conservative in any significant sense and that computational complexity is lower than existing methods involving finite-dimensional projection of PDEs

Development of A Unique Protocol for the Production of Doubled Haploids in Hot Pepper

Hot pepper ranks seventh among the most produced vegetables in the world. This crop is famous for its color and pungency. Hot pepper contains many important phytonutrients that enable it to fight against cancer. Conventional breeding in Hot Pepper is labor-consuming and a long-term process. This can be overcome by using novel approaches, such as, in vitro doubled haploid plant production. This method not only accelerate breeding programs but also facilitates recovery of recessive mutations.  There are many articles published on doubled haploid development in Capsicum annuum; it reports both anther culture and shed-microspore culture methods, but both these methods require either subculture of anthers or the addition of new media, which makes both protocols laborious. The present study aims to develop a single-step direct embryogenesis protocol to produce doubled haploids in Capsicum annuum. We analyzed effectiveness of microspore embryogenesis on ten Hot pepper genotypes with six media combinations including shed-microspore culture protocol (Supena et.al 2006) and two-step anther culture protocol (Dumas de vaulx et.al 1981 and Para-Vega et.al 2016). Among six, one media combination responded very well to single-step direct embryogenesis compared to other protocols with more than 20 % plant regeneration frequency. We observed an average embryogenesis of 7.53% and plant regeneration frequency of 3.81%. We achieved a survival index of 97.61% after acclimatization of plants in the polyhouse.  The results of these experiments show that, one-step direct embryogenesis can be achieved with unique combination of plant growth regulators

Diffusion Tensor Imaging as a novel technique in early detection of cervical spondylotic myelopathy

Introduction: Diffusion tensor imaging (DTI) is an advanced MR imaging technique which helps in early detection of cervical spondylotic myelopathy (CSM). Decompressive surgery performed during early stages of the disease was reported to be more successful when compared with later stages. Aim: To evaluate the usefulness of diffusion tensor imaging (DTI) in early stages of cervical spondylotic myelopathy (CSM) and to aid in better surgical outcome. Materials and methods: This prospective observational study included 25 patients with clinical diagnosis of cervical spondylotic myelopathy who underwent routine MRI of the cervical spine. Conventional MRI sequences along with diffusion tensor imaging (DTI) were performed. Quantitative fractional anisotropy (FA) and apparent diffusion coefficient (ADC) values were compared at stenotic and nonstenotic segments. Results: A statistically significant difference in mean FA and ADC values were seen at stenotic and nonstenotic segments. In the most stenotic segments, the mean FA value was 0.415 ± 0.203 and in the nonstenotic segment, the mean FA value was 0.717 ± 0.160, which was statistically significant (P < 0.001). The mean ADC value in the most stenotic segments was 1.777 ± 1.005 x 10-3 mm2/s and that of the nonstenotic segments was 1.010 ± 0.458 x 10-3 mm2/s. The difference in the mean ADC value was statistically significant (p <0.001). Conclusion: Use of diffusion tensor imaging (DTI) along with conventional MRI sequences enables early detection of the disease and helps in appropriate timing of surgery. Keywords: Diffusion tensor imaging (DTI), cervical spondylotic myelopathy (CSM), apparent diffusion coefficient (ADC), fractional anisotropy (FA)

Track clustering with a quantum annealer for primary vertex reconstruction at hadron colliders

Clustering of charged particle tracks along the beam axis is the first step in reconstructing the positions of hadronic interactions, also known as primary vertices, at hadron collider experiments. We use a 2036 qubit D-Wave quantum annealer to perform track clustering in a limited capacity on artificial events where the positions of primary vertices and tracks resemble those measured by the Compact Muon Solenoid experiment at the Large Hadron Collider. The algorithm, which is not a classical-quantum hybrid but relies entirely on quantum annealing, is tested on a variety of event topologies from 2 primary vertices and 10 tracks up to 5 primary vertices and 15 tracks. It is benchmarked against simulated annealing executed on a commercial CPU constrained to the same processor time per anneal as time in the physical annealer, and performance is found to be comparable for small numbers of vertices with an intriguing advantage noted for 2 vertices and 16 tracks

Development of a Unique Protocol for The Production of Doubled Haploids in Hot Pepper

Hot pepper ranks seventh among the most produced vegetables in the world. This crop is famous for its color and pungency. Hot pepper contains many important phytonutrients that enable it to fight against cancer. Conventional breeding in Hot Pepper is labor-consuming and a long-term process. This can be overcome by using novel approaches, such as, in vitro doubled haploid plant production. This method not only accelerate breeding programs but also facilitates recovery of recessive mutations.  There are many articles published on doubled haploid development in Capsicum annuum; it reports both anther culture and shed-microspore culture methods, but both these methods require either subculture of anthers or the addition of new media, which makes both protocols laborious. The present study aims to develop a single-step direct embryogenesis protocol to produce doubled haploids in Capsicum annuum. We analyzed effectiveness of microspore embryogenesis on ten Hot pepper genotypes with six media combinations including shed-microspore culture protocol (Supena et.al 2006) and two-step anther culture protocol (Dumas de vaulx et.al 1981 and Para-Vega et.al 2016). Among six, one media combination responded very well to single-step direct embryogenesis compared to other protocols with more than 20 % plant regeneration frequency. We observed an average embryogenesis of 7.53% and plant regeneration frequency of 3.81%. We achieved a survival index of 97.61% after acclimatization of plants in the polyhouse.  The results of these experiments show that, one-step direct embryogenesis can be achieved with unique combination of plant growth regulators

Energy Efficient Routing Protocol for MANET Based on Vague Set Measurement Technique

AbstractMANET is a collection of mobile nodes that are moving dynamically due to infrastructure-less property. The topology of MANET changes very frequently. Every mobile node is powered by a battery with insufficient capacity and due to this reason sometime nodes are failing to transmit a data packet from source to destination. In this paper, we propose an energy efficient routing protocol for MANET using vague set measurement technique. The basic idea of this proposed protocol is to select an energy efficient route based on vague set measurement technique. Vague set measurement technique mainly used interval-based membership where each parameter such as energy and distance is used as an element of vague set. Therefore, this approach helps to determine the energy efficient route. Based on different survey, this is the first research attempt to energy efficient routing using vague set. Based on the simulation of the proposed protocol using NS2 and comparative study with other existing protocol, it is observed that proposed routing protocol contributes to the performance expansion in terms of energy efficiency

Mean-Field Study of Normal Metal-Quantum Dot-Superconductor System in the Presence of External Magnetic Field

In this paper, we have analyzed the spectral and transport properties of a weakly correlated single-level quantum dot hybridized with one normal conducting and another Bardeen-Cooper-Schrieffer (BCS) superconducting lead (N-QD-S system) in the presence of an external magnetic field. We have employed Green's function equation of motion (EOM) approach within a self-consistent Hartree-Fock (HF) mean-field approximation to analyze the Hamiltonian. We studied the effect of on-dot Coulomb correlation and an external magnetic field on the sub-gap Andreev levels of a quantum dot, strongly coupled to a conventional s-wave superconductor as a function of impurity parameters. We have shown that for a finite magnetic field, the Andreev bound states (ABSs) split into a spin-up and spin-down contribution (i.e. Zeeman splitting) and cross the Fermi energy level, resulting in a quantum phase transition, which is an indication of a change in the fermion parity of the ground state. Further, within the non-linear regime, we discuss the total electrical conductance for various values of Zeeman energy and on-dot Coulomb interactions. We have compared our results with the existing experimental and theoretical results.Comment: 7 pages, 5 figure

Extension of the Partial Integral Equation Representation to GPDE Input-Output Systems

Partial Integral Equations (PIEs) are an alternative way to model systems governed by Partial Differential Equations (PDEs). PIEs have certain advantages over PDEs in that they are defined by integral (not differential) operators and do not include boundary conditions or continuity constraints on the solution -- a convenience when computing system properties, designing controllers, or performing simulation. In prior work, PIE representations were proposed for a limited class of $2^{nd}$-order PDEs in a single spatial variable. In this paper, we extend the PIE representation to a more general class of PDE systems including, e.g., higher-order spatial derivatives ($N^{th}$-order), PDEs with inputs and outputs, PDEs coupled with ODEs, PDEs with distributed input and boundary effects, and boundary conditions which combine boundary values with inputs and integrals of the state. These extensions are presented in a unified way by first proposing a unified parameterization of PDE systems, which we refer to as a Generalized PDE (GPDE). Given a PDE system in GPDE form, we next propose formulae that takes the GPDE parameters and constructs the Partial Integral (PI) operators that are used to define a PIE system. This formula includes a unitary (and hence invertible) map that converts solutions of the PIE to solutions of the GPDE. This unitary map is then used to show that the original GPDE and PIE have equivalent system properties, including well-posedness and stability. These representations, conversions, and mappings are illustrated through several diverse examples, including beams, mixing problems, entropy modeling, wave equations, etc. Finally, we illustrate the significance of the PIE representation by solving analysis, simulation, and control problems for several representative PDE systems

A Tutorial and Future Research for Building a Blockchain-Based Secure Communication Scheme for Internet of Intelligent Things

The Internet of Intelligent Things (IoIT) communication environment can be utilized in various types of applications (for example, intelligent battlefields, smart healthcare systems, the industrial internet, home automation, and many more). Communications that happen in such environments can have different types of security and privacy issues, which can be resolved through the utilization of blockchain. In this paper, we propose a tutorial that aims in desiging a generalized blockchain-based secure authentication key management scheme for the IoIT environment. Moreover, some issues with using blockchain for a communication environment are discussed as future research directions. The details of different types of blockchain are also provided. Some of the widely-accepted consensus algorithms are then discussed. Next, we discuss different types of applications in blockchain-based IoIT communication environments. The details of the associated system models are provided, such as, the network and attack models for the blockchain-based IoIT communication environment, which are helpful in designing a security protocol for such an environment. A practical demonstration of the proposed generalized scheme is provided in order to measure the impact of the scheme on the performance of the essential parameters. Finally, some of the future research challenges in the blockchain-based IoIT communication environment are highlighted, which will also be helpful to the researchers