These proceedings collect the academic and scientific contributions presented at the X International Conference Days of Mathematical Modeling in Sciences (X ICDMMS), which continues the legacy of the “Days of Applied Mathematics” (ICDAM) previously held at Universidad Simón Bolívar, San José de Cúcuta, Colombia. The X ICDMMS took place in Talca, Chile, on October 2–25, 2024. The primary objective of this conference is to promote the exchange of concrete experiences in applying mathematical knowledge to address complex problems across diverse scientific contexts. In line with this mission, the event has brought together a vibrant academic and scientific community, including postgraduate students, professors, and researchers from across Latin America, who have not only presented their research but have also had the opportunity to publish their work (since the fourth edition) in the Journal of Physics: Conference Series, the journal associated with the conference. This event is an initiative led by three academic research groups with a presence in Chile and Colombia: the Mathematical Modeling Group of Maule (GM3), the Scientific Modeling and Business Innovation Group of Universidad Simón Bolívar (GIMCINE), and the Mathematical Modeling Group of Biological Systems at Universidad Tecnológica Metropolitana (MATBIO-UTEM). Its purpose is to serve as a platform for disseminating knowledge in the basic and applied sciences through the lens of mathematical modeling. A key focus of the conference is to continue encouraging a space for the scientific contributions of graduate students and to promote interactions that strengthen their integration into the research community. The topics developed in the X ICDMMS were the following: (i) Computer Science in Mathematics and Engineering (ii) Modeling in Basic Sciences (iii) Modeling in Social Sciences (iv) Mathematical Biology (v) Modeling, Simulation, and Diagnostics (vi) Education and Communication in Science and Engineering The ICDMMS forms an integral part of the training and research processes within the academic programs in Applied Mathematical Modeling, Mathematics Education, and Experimental Sciences Education at the Faculty of Basic Sciences of the Universidad Católica del Maule. It aligns with the institution's commitment to high-quality education and responds to the demands of the digital era by emphasizing the modeling of scientific knowledge across diverse fields, including mathematics, physics, biology, and chemistry, as well as applications in medicine, engineering, management, business, and education. The ICDMMS offers emerging researchers opportunities for participation and growth through meaningful interactions and dialogue with established researchers from various scientific disciplines represented at the conference. It also allows students, faculty, and researchers a valuable space for professional development and knowledge acquisition through thematic sessions. List of Organizing Committee, National Scientific Committee, International Scientific Committee, Organizing groups and partners and Sponsors are available in this PDF.
Rojas-Palma et al. (Mon,) studied this question.