Application of Dynamical Systems to Biology is nowadays an important challenge. In spite of profusion, convincing proof of chaotic dynamics in biological systems is usually difficult to make. However, in some application domains, chaotic indices can be used for diagnosis e.g. to classify the time series in two classes, such as healthy vs pathological. When one wants to describe evolution of chaotic systems, one usually need to solve an ODE or a PDE. The goal of this school is, on the one hand to present the basic tools in Dynamical Systems to solve ODE’s, and, on the second hand, to present how these tools can be used in Biology.
Mathematical Biology emphasizes on mathematical modeling, with biology the sole application area. Mathematical Biology is the most exciting modern application of mathematics and it is first growing. The use of mathematics in biology is inescapable because nowadays biology becomes more quantitative. The better models show how a process works and then predict what may follow. If these predictions are not already obvious to the biologists and the predictions turn out to be right, then the mathematicians would be the main key persons to the biologists.
In particular, mathematical modelling (and analysis) plays a major role in epidemiology in helping to address the various public health concern, by providing deeper qualitative insights into the underlying mechanisms for the spread of infectious diseases. Modelling also allows for the theoretical assessment of the potential impact of intervention strategies (both pharmaceutical and non-pharmaceutical) for controlling, or mitigating, the impact of the disease in a population.
The interactive courses or lectures will be focused on mainly foundational topics in Mathematical Biology including population modeling, infectious disease modeling, genetics and evolution, in-host dynamics, optimal control, statistics in epidemiology.
In addition to these lectures, participants will develop novel research collaborations in-group projects aimed at biological modeling; course instructors will act as mentors and organizers may lead these research projects. The results of the collaborative research projects will be expected to present during the poster sessions, and / or as a research talk in any International Conference on Mathematics Applications, organized by either Bangladesh Mathematical Society or any other mathematics/biology related organization at home and abroad in future.
Dates of the School: May 09-20, 2022