The Mathematical Modeling Symposium focuses on the application of mathematics to real-world problems. The topics may include, but are not limited to: mathematical biology, mathematical finance, mathematical physics, and engineering applications.
We welcome submissions for short and long talks, two-hour mini-lectures, and hands-on activities.
University of Turkish Aeronautical Association, Turkiye
Title. Optimal Anti-Hormonal Treatment for Breast Cancer
Abstract. While lifestyle factors like body mass index, childbirth, breastfeeding, and genetic predisposition are well-recognized risk factors for developing breast cancer, their influence on treatment response remains far less understood. We introduce a mathematical model using ordinary differential equations for estrogen receptor-positive breast cancer treated with aromatase inhibitors (AIs) therapies to explore how a high-fat diet affects tumor development. The model is informed by data from mouse experiments comparing high-fat and standard diets. By integrating AI treatment and drug resistance into the model and applying optimal control strategies, we observed differing treatment responses based on diet type. To our knowledge, this is the first study to model optimized anti-hormonal treatment for breast cancer while accounting for drug resistance. Our findings highlight the need to consider obesity and high-fat diets as influential factors in the success of anti-hormonal therapies for breast cancer patients.
Johannes Gutenberg-University Mainz, Germany
Title. An Analysis of a Dengue Fever Transmission Model Including the Delay Terms
Abstract. In this talk, a mathematical model of dengue fever transmission, incorporating delay terms to reflect realistic time delays in the disease dynamics is presented. Using the next-generation matrix method, the basic reproduction number is derived as a key threshold parameter. The dynamics of the model are analyzed with and without delays, showing that recovery delays can destabilize the system or induce oscillations. Numerical simulations illustrate how delay parameters affect disease spread, providing insights into the role of timing in transmission and control strategies. The framework is applicable to other infectious diseases.
University of Alberta, Canada
Title. Mathematical Modelling of Oncolytic Virotherapy
Abstract. Oncolytic Virotherapy is developed as a new targeted cancer therapy. Viral particles infect cancer cells, leading to two effects. Firstly, cancer cells are killed by the viral infection, and secondly, cancer cells are marked as infected and then killed by the immune response. The challenge is to get as many cancer cells as possible infected before the adaptive immune response comes in and clears out the virus. I will discuss several ideas to overcome this bottleneck in oncolytic virotherapy treatment.
RPTU Kaiserslautern-Landau, Germany
Title. Continuous Models for Tumor Invasion: An Overview With Examples
Abstract. We provide an overview of the main model classes employed for the continuous modeling of invasion and spread of tumor cells in heterogeneous environments and under various influences of the extracellular space. We illustrate these approaches with models developed during the last decade, also addressing possible connections between the different classes.
Gazi University, Turkiye
Title. Numerical Solution of Optimal Control of the Merton Jump Diffusion Equations
Abstract. In this talk, the numerical solution of the optimal control problem for a well-known financial model, the Merton jump diffusion equation, is considered. The stochastic Runge-Kutta method is used for discretization of the problem, and the discretize-then-optimize method is employed to derive the optimality conditions. A practical algorithm is developed for the control problem of the Merton model, and numerical results show the efficiency of the proposed scheme.
Fatihcan Atay|Bilkent University (Turkiye)
Alvaro Köhn-Luque|University of Oslo (Norway)
Önder Türk|Middle East Technical University (Turkiye)
Nurdan Kar|Bilkent University (Turkiye)
Abstract Submission Deadline: June 30, 2025
Abstract submission is now closed. Unfortunately, we cannot consider late-breaking abstracts or additional presentations.
Registration Deadline: August 30, 2025
Application Deadline: June 30, 2025
Accommodation request is now closed.