In this work a block parameter estimation method for linear periodically time-varying systems is discussed. The whole work consists of two parts: theoretical and practical. The theoretical part is based on the description of the model, its creation and structure. Furthermore, Markov estimation or an estimation of the least squares generalized method and the description of the generalized model are described in this work. The practical part is devoted to carrying out of the experiments and their description. The experiments of modeling have been performed using MATLAB program. In addition, the functions matrica, period were created and used to do the estimations. The results of the experiments are illustrated in charts and diagrams. Finally, the conclusions about the efficiency of the block parameter estimation method are done.

It has previously been stated that K+-ions in a plant cell have a counter-balancing role in which the efflux of K+-ions from the thylakoid lumen charge-balance the light-induced proton pumping that is known to occur across the thylakoid membrane, and this in turn stabilizes photosynthetic activity. In the present study, two different types of plants of the same ecotype (Col-0) of Arabidopsis thaliana have been studied: a wild-type and a T-DNA exon-mutant (tpk5-e) that has lost the expression of the protein known as Tandem-pore K+- channel (AtTPK5). The plants were grown in a hydroponic system under normal light conditions with 70% humidity. Homozygous (HM) tpk5-e mutant plants were screened using PCR and gene specific primers. Further, the photosynthetic activity was measured in 4 hour light-adapted plants and the photosynthetic activity of the tpk5-e mutant proved not to be significantly different in comparison to the wild-type when measuring the electron transport rate (ETR). Furthermore, the O2-evolution was also measured in 4 hour light-adapted plants and the tpk5-e mutant's O2-evolution proved to be significantly lower in the tpk5-e mutant in comparison to the wild-type under high light conditions. The plant fitness of the wild-type and tpk5-e mutant was also different judging from phenotypic traits such as chlorophyll expression. However, the measured chlorophyll amount of pigments chlorophyll a and b proved not to be significantly different in the tpk5-e mutant in comparison to the wild-type.

The main theme of the study is exploring and understanding the impact of an innovative continuing professional development model for integrating ICT into classroom pedagogy. The focus is on the relationship between teachers’ beliefs, knowledge and pedagogic practice in the process of developing and adopting new knowledge and skills to cope with 21st century education. The study explores the 'future schools' primary teachers’ education, in-service training, status, beliefs, knowledge, and skills of using ICT in practice in the Kuwait context. The finding from the exploratory study shows that teachers’ lack of Technological, Pedagogical and Content knowledge TPACK and that this impacts on their capacity to improve their pedagogic practice. The study applied a social-constructivist approach to understand the process of change in the nine participants' teachers' beliefs, knowledge through an innovative continuing professional development model, and stimulating teachers to develop a reflective practice skills focusing on improving pedagogic practice and using ICT. A case study approach was used as the methodology of the study to develop an understanding of the process of change in the nine participant teachers' reflection on and experienced of the effects of adopting alternative pedagogic practice and integrating ICT. The numerous small findings from the quantitative and qualitative methods applied to the six months of continuing professional development involving nine primary teachers come under four main themes: 1) In-service teachers' beliefs and knowledge development, 2) Classroom pedagogy for autonomy with ICT integration, 3) Constraints affecting future schools’ teachers' integration of ICT, and 4) The key principles of an RP-BCPD model for teachers CPD in Kuwait. The understandings from the findings of the study show that the quality of the CPD for improving teachers' pedagogic practice is affected by the socio-cultural context of the 'future schools'. The study shows that the nine participant teachers can develop effective alternative pedagogic practice and successfully integrate ICT, when they are empowered to reflect, inquire into their practice, and learn from each other and from cross-cultural best practice. The unique finding of the study indicated that the nine participant teachers experiences some difficulties with engaging in the change process because of classroom cultural context such as: teachers' TPACK knowledge and competences, curriculum overload, and classroom size. Finally, the finding shows that providing the participant teachers with reflective practice as the base of CPD programme within schools context linked learning theory to improve pedagogic practice.

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Modern methods of speech synthesis are not suitable for restoration of song signals due to lack of vitality and intonation in the resulted sounds. The aim of presented work is to synthesize melismas met in Lithuanian folk songs, by applying Artificial Neural Networks. An analytical survey of rather a widespread literature is presented. First classification and comprehensive discussion of melismas are given. The theory of dynamic systems which will make the basis for studying melismas is presented and finally the relationship for modeling a melisma with nonlinear and dynamic systems is outlined. Investigation of the most widely used Linear Prediction Coding method and possibilities of its improvement. The modification of original Linear Prediction method based on dynamic LPC frame positioning is proposed. On its basis, the new melisma synthesis technique is presented. Developed flexible generalized melisma model, based on two Artificial Neural Networks – a Multilayer Perceptron and Adaline – as well as on two network training algorithms – Levenberg- Marquardt and the Least Squares error minimization – is presented. Moreover, original mathematical models of Fortis, Gruppett, Mordent and Trill are created, fit for synthesizing melismas, and their minimal sizes are proposed. The last chapter concerns experimental investigation, using over 500 melisma records, and corroborates application of the new mathematical models to melisma synthesis of one performer.

Modern methods of speech synthesis are not suitable for restoration of song signals due to lack of vitality and intonation in the resulted sounds. The aim of presented work is to synthesize melismas met in Lithuanian folk songs, by applying Artificial Neural Networks. An analytical survey of rather a widespread literature is presented. First classification and comprehensive discussion of melismas are given. The theory of dynamic systems which will make the basis for studying melismas is presented and finally the relationship for modeling a melisma with nonlinear and dynamic systems is outlined. Investigation of the most widely used Linear Prediction Coding method and possibilities of its improvement. The modification of original Linear Prediction method based on dynamic LPC frame positioning is proposed. On its basis, the new melisma synthesis technique is presented. Developed flexible generalized melisma model, based on two Artificial Neural Networks – a Multilayer Perceptron and Adaline – as well as on two network training algorithms – Levenberg- Marquardt and the Least Squares error minimization – is presented. Moreover, original mathematical models of Fortis, Gruppett, Mordent and Trill are created, fit for synthesizing melismas, and their minimal sizes are proposed. The last chapter concerns experimental investigation, using over 500 melisma records, and corroborates application of the new mathematical models to melisma synthesis of one performer.