A Differential Game Described by a Hyperbolic System

An antagonistic differential game of hyperbolic type with a separable linear vector pay-off function is considered. The main result is the description of all ε-Slater saddle points consisting of program strategies, program ε-Slater maximins and minimaxes for each ε ∈ R^N > for this game. To this purpose, the considered differential game is reduced to find the optimal program strategies of two multicriterial problems of hyperbolic type. The application of approximation enables us to relate these problems to a problem of optimal program control, described by a system of ordinary differential equations, with a scalar pay-off function. It is found that the result of this problem is not changed, if the players use positional or program strategies. For the considered differential game, it is interesting that the ε-Slater saddle points are not equivalent and there exist two ε-Slater saddle points for which the values of all components of the vector pay-off function at one of them are greater than the respective components of the other ε-saddle point.

Turning math attractive to computer science students: an application-to-model approach

This paper describes an innovative approach to develop the understanding about the relevance of mathematics to computer science. The mathematical subjects are introduced through an application-to-model scheme that lead computer science students to a better understanding of why they have to learn math and learn it effectively. Our approach consists of a single one semester course, taught at the first semester of the program, where the students are initially exposed to some typical computer applications. When they recognize the applications' complexity, the instructor gives the mathematical models supporting such applications, even before a formal introduction to the model in a math course. We applied this approach at Unesp (Brazil) and the results include a large reduction in the rate of students that abandon the college and better students in the final years of our program.

Secondary metabolites in Gerbera hybrida

Plants produce a diversity of secondary metabolites, i.e., low-molecular-weight compounds that have primarily ecological functions in plants. The flavonoid pathway is one of the most studied biosynthetic pathways in plants. In order to understand biosynthetic pathways fully, it is necessary to isolate and purify the enzymes of the pathways to study individual steps and to study the regulatory genes of the pathways. Chalcone synthases are key enzymes in the formation of several groups of flavonoids, including anthocyanins. In this study, a new chalcone synthase enzyme (GCHS4), which may be one of the main contributors to flower colour, was characterised from the ornamental plant Gerbera hybrida. In addition, four chalcone synthase-like genes and enzymes (GCHS17, GCHS17b, GCHS26 and GCHS26b) were studied. Spatial expression of the polyketide synthase gene family in gerbera was also analysed with quantitative RT-PCR from 12 tissues, including several developmental stages and flower types. A previously identified MYB transcription factor from gerbera, GMYB10, which regulates the anthocyanin pathway, was transferred to gerbera and the phenotypes were analysed. Total anthocyanin content and anthocyanidin profiles of control and transgenic samples were compared spectrophotometrically and with HPLC. The overexpression of GMYB10 alone was able to change anthocyanin pigmentation: cyanidin pigmentation was induced and pelargonidin pigmentation was increased. The gerbera 9K cDNA microarray was used to compare the gene expression profiles of transgenic tissues against the corresponding control tissues to reveal putative target genes for GMYB10. GMYB10 overexpression affected the expression of both early and late biosynthetic genes in anthocyanin-accumulating transgenic tissues, including the newly isolated gene GCHS4. Two new MYB domain factors, named as GMYB11 and GMYB12, were also upregulated. Gene transfer is not only a powerful tool for basic research, but also for plant breeding. However, crop improvement by genetic modification (GM) remains controversial, at least in Europe. Many of the concerns relating to both human health and to ecological impacts relate to changes in the secondary metabolites of GM crops. In the second part of this study, qualitative and quantitative differences in cytotoxicity and metabolic fingerprints between 225 genetically modified Gerbera hybrida lines and 42 non-GM Gerbera varieties were compared. There was no evidence for any major qualitative and quantitative changes between the GM lines and non-GM varieties. The developed cell viability assays offer also a model scheme for cell-based cytotoxicity screening of a large variety of GM plants in standardized conditions.

Aplicação da modelagem no estudo da teoria cinética dos gases

In this term paper is studied the use of models and analogies and it's influences in the study of chemistry, for learning and understanding of concepts related to the kinetic theory of gases. It was developed an activity with students of high school second year, enrolled in a State school, in the city of Bauru-SP. It was built and developed a model using the mechanical vertical model scheme, based on the proposal of Professor Luiz Ferraz Netto, for the teaching of the kinetic theory of gases. It was applied a questionary to evaluate the effect of the model in the classroom, and the analysis of data was done in descriptive qualitative way. It was verified that the methodology favored the development of conceptual understanding, demonstrating significant results on the theme of learning

A gray-box neural network-based model identification and fault estimation scheme for nonlinear dynamic systems

A novel gray-box neural network model (GBNNM), including multi-layer perception (MLP) neural network (NN) and integrators, is proposed for a model identification and fault estimation (MIFE) scheme. With the GBNNM, both the nonlinearity and dynamics of a class of nonlinear dynamic systems can be approximated. Unlike previous NN-based model identification methods, the GBNNM directly inherits system dynamics and separately models system nonlinearities. This model corresponds well with the object system and is easy to build. The GBNNM is embedded online as a normal model reference to obtain the quantitative residual between the object system output and the GBNNM output. This residual can accurately indicate the fault offset value, so it is suitable for differing fault severities. To further estimate the fault parameters (FPs), an improved extended state observer (ESO) using the same NNs (IESONN) from the GBNNM is proposed to avoid requiring the knowledge of ESO nonlinearity. Then, the proposed MIFE scheme is applied for reaction wheels (RW) in a satellite attitude control system (SACS). The scheme using the GBNNM is compared with other NNs in the same fault scenario, and several partial loss of effect (LOE) faults with different severities are considered to validate the effectiveness of the FP estimation and its superiority.

A high performance scheme for EEG compression using a multichannel model

The amount of data contained in electroencephalogram (EEG) recordings is quite massive and this places constraints on bandwidth and storage. The requirement of online transmission of data needs a scheme that allows higher performance with lower computation. Single channel algorithms, when applied on multichannel EEG data fail to meet this requirement. While there have been many methods proposed for multichannel ECG compression, not much work appears to have been done in the area of multichannel EEG. compression. In this paper, we present an EEG compression algorithm based on a multichannel model, which gives higher performance compared to other algorithms. Simulations have been performed on both normal and pathological EEG data and it is observed that a high compression ratio with very large SNR is obtained in both cases. The reconstructed signals are found to match the original signals very closely, thus confirming that diagnostic information is being preserved during transmission.

ASYMPTOTIC PRESERVING SCHEME FOR A KINETIC MODEL DESCRIBING IN COMPRESSIBLE FLUIDS

The kinetic theory of fluid turbulence modeling developed by Degond and Lemou in 7] is considered for further study, analysis and simulation. Starting with the Boltzmann like equation representation for turbulence modeling, a relaxation type collision term is introduced for isotropic turbulence. In order to describe some important turbulence phenomenology, the relaxation time incorporates a dependency on the turbulent microscopic energy and this makes difficult the construction of efficient numerical methods. To investigate this problem, we focus here on a multi-dimensional prototype model and first propose an appropriate change of frame that makes the numerical study simpler. Then, a numerical strategy to tackle the stiff relaxation source term is introduced in the spirit of Asymptotic Preserving Schemes. Numerical tests are performed in a one-dimensional framework on the basis of the developed strategy to confirm its efficiency.