Conference Agenda

This paper is concerned with the solution of a variational inequality for charge transport DNA model with vibrational and rotational coupling motion. For that we use the theory of semigroup according to [9] to rewrite in vector form the system obtained from the dynamics of the Peyrard-Bishop model for vibrational motion of DNA dynamics, which has been extended and analysed by [6], that is, Ut =AU +F(U) U(0) = U0 (1) This system given by (2) stand for an initial value problem, which we show that, under suitable assumptions of the operator A and on the nonlinearity F the system supports a single global weak solution satisfying the given initial condition, for that one, we consider the Sobolev spaces which will solve the Cauchy problem. The ideas of Elena D´ıaz [4] have really been followed, who considers the Peyrard-Bishop-Holstein model, which introduces a description of polaronic effects for the transport of electrical charge in DNA. Consequently, a Schr¨odringer equation is added for electrical transport, whose indicator is the amplitude probability for an electric charge located in the nth nucleotide. Likewise, in the vibrational part, the Peyrard-Bishop model has been maintained in its continuous form, which has as its starting point the discrete form in the reference of [6].

Cooperative learning is an educational methodology that promotes collaboration among students, which is essential for the development of skills in the academic environment. This study aims to determine the relationship between the calculation dimension of quantitative reasoning and cooperative learning in higher education students. The study was carried out using a quantitative approach, at the correlational level and with a non-experimental design. The sample was made up of 118 students on the mathematics course at a private university in Lima, Peru. The results revealed that 62.7% of the students accepted the active methodologies of cooperative learning, although 37.3% did not attribute their achievements to group work. In addition, it was observed that 45.8% of the students reached a sufficient level in the calculation dimension of quantitative reasoning, which indicates a significant improvement compared to previous years. The study confirmed a significant relationship between cooperative learning and the quantitative reasoning calculation dimension, with a correlation coefficient of 0.808. These findings highlight the importance of integrating cooperative learning into mathematics teaching to improve academic performance and develop critical skills in students.

This paper presents a systematic review on the space of bounded variation functions and critical points in problems related to the 1-Laplacian operator. Bounded variation is a fundamental concept in functional analysis and theory of differential equations, relevant to understanding the behavior of solutions in various variational problems. The 1-Laplacian operator, which arises in contexts such as image theory and shape analysis, poses unique challenges due to its nonlinearity and the singular properties of its solutions. That is why this research focuses on the role those various nations, researchers and institutions play in underlining international collaboration, establishing connections and partnerships with research centers around the world, which allows access to up-to-date knowledge on the subject, such as the exchange of ideas and the development of international scientific capabilities. This systematic review allows for a compact examination of the current state of the art in the analysis of bounded variation function space and critical points in problems related to the 1-Laplacian operator, through the analysis of 129 articles collected from the SCOPUS database and 125 from WoS, highlighting the leadership of countries such as China, Italy, and France, as major players, emphasizing their significant contributions to the advancement and research in this field. The study shows that international collaboration has been fundamental for scientists and institutions to build strategic alliances and global research centers. Major challenges have been identified, such as investment in talent training and development in this field due to the limited data found.

This study analyzes the representation of Coons surfaces using B-Spline, implementing algorithms in Python for their visualization and manipulation. B-Spline basis functions and the Oslo Algorithm are employed to enhance the precision, continuity, and adaptability of surfaces without altering their geometry. The conversion of Coons surfaces to B-Spline optimizes flexibility in Computer-Aided Geometric Design (CAGD). These surfaces are crucial as they allow for smooth surface interpolation from boundary curves, facilitating applications in structural simulation, digital animation, and industrial design. The results demonstrate that the B-Spline-based formulation improves control over surface interpolation without requiring additional structures. Furthermore, these geometric modeling techniques highlight Python as an accessible tool for research and education, as understanding these mathematical aspects enhances the representation of curves and surfaces in computational geometric modeling.

Higher education faces the challenge of improving students' quantitative reasoning skills, which are fundamental to their academic and professional success. This study aims to determine the relationship between the implementation of innovative teaching strategies and quantitative reasoning skills in business students at a private university in Lima. The study was carried out using a non-experimental design, with a quantitative approach, at a correlational and basic level. The sample consisted of 177 students selected using simple random probability sampling. The results revealed that there is a significant relationship between teaching strategies and quantitative reasoning, with a p-value supporting this assertion of 0.004. In addition, it was established that the implementation of teaching strategies has a significant impact on the dimensions of quantitative reasoning. These findings suggest that the implementation of innovative teaching strategies can be a key factor in improving quantitative skills in higher education, which highlights the need to integrate active methodologies into teaching.

The educational community at a higher level has direct influence with the use of public space and its use characteristics translated into recreational, contemplative or sports activities; The latter generates a high influence in determining the quality of life and health status of the student at the University of Guayaquil, which is currently a paused process; since the provision of public spaces exists, but the renewal of sports furniture, equipment and infrastructure is fragmented for two main reasons such as the lack of maintenance and comprehensive provision that promotes a perception of the sports space as sectoral, by only counting according to the perception of the student community as a space within the Faculty of Physical Culture. The lack of maintenance of sports infrastructure and strategic planning for the creation of new spaces and interconnection of current sports spaces, which prevents sports activities from being carried out normally. The objective of this scientific article is to design a planned territorial system of sports spaces applying characterizations of the geometric method based on the evaluation of the central place theory to develop a comprehensive planning scheme with buildable space and green areas. As a conclusion, it is obtained that the interconnection of sports spaces with green areas and public spaces improves the quality of the urban-architectural design through a strategic planned approach.