Existence of Formal Conservation Laws of a Variable-Coefficient Korteweg-de Vries Equation from Fluid Dynamics and Plasma Physics via Symbolic Computation

Employing the method which can be used to demonstrate the infinite conservation laws for the standard Kortewegde Vries （KdV） equation, we prove that the variable-coeFficient KdV equation under the Painlevé test condition also possesses the formal conservation laws.

A Custom Manipulator for Dental Implantation Through Model-Based Design

This paper presents a Model-Based Design(MBD)approach for the design and control of a customized manipulator intended for drilling and position-ing of dental implants accurately with minimal human intervention.While performing an intra-oral surgery for a prolonged duration within a limited oral cavity,the tremor of dentist's hand is inevitable.As a result,wielding the drilling tool and inserting the dental implants safely in accurate position and orientation is highly challenging even for experienced dentists.Therefore,we introduce a customized manipulator that is designed ergonomically by taking in to account the dental chair specifications and anthropomorphic data such that it can be readily mounted onto the existing dental chair.The manipulator can be used to drill holes for dental inserts and position them with improved accuracy and safety.Further-more,a thorough multi-body motion analysis of the manipulator was carried out by creating a virtual prototype of the manipulator and simulating its controlled movements in various scenarios.The overall design was prepared and validated in simulation using Solid works,MATLAB and Simulink through Model Based Design(MBD)approach.The motion simulation results indicate that the manipulator could be built as a prototype readily.

AN APPROACH TO MATHEMATICAL MODELING OF PIPING SYSTEM WITH FLUID-STRUCTURE INTERACTION

The present paper studies the dynamic pehaviour of a complex piping system containing internal fluid flow.A generalized complex modal decomposition method is proposed for modeling the piping structure.A characteristic impedance transfer matrix of piping flow with a frequency-dependent friction is employed for describing the model of fluid flow,which is coupled to the structural model by means of an approach similar to that used in the structural modal synthesis.The coupled model is practicable for the detecting,monitoring,controlling or predicting of piping vibrations,and for the studying of fluid dynamic characteristics under the influence of structural vibration,also for the diagnosticating of the piping system.

Systematic approach to select lactic acid bacteria from spontaneously fermented milk able to fight Listeria monocytogenes and Staphylococcus aureus

The aim of this study was to present a systematic approach to select lactic acid bacteria strains to be added in food products and with antimicrobial properties against Listeria monocytogenes and Staphylococcus aureus.A total of 73 lactic acid bacteria was selected and tested for their antimicrobial activity against the target pathogens.A subgroup of 44 isolates was selected applying the Principal Component Analysis and tested for co-aggregation and inhibition of biofilm forming ability against the two target pathogens.Based on the latter properties and Heat Map Analysis,10 strains were submitted to whole genome sequencing to achieve the species identification and explore the presence of genes coding virulence factors and for bacteriocin.The application of the systematic approach presented in this study resulted in the final selection of one Lactobacillus paracasei and four Lactobacillus fermentum strains promising as strains to be added in food products.