About Workshop
About Workshop
Discover the incredible world of living things, from groups of living beings to individual organisms, which bring both challenges and chances for science in areas like ecology, epidemiology, biology, and bioeconomics. Understanding these systems is super important for dealing with real-life problems. The " Mathematical Models and Methods in Life Sciences " workshop is a 3 day deep dive, giving participants insights into how things move, equations, and uncertainty in life sciences.
This workshop is like a door to exploring living things, from how different groups interact to how individual living things stay balanced. It's a chance to figure out the secrets of this diverse world where every interaction adds to the complex picture of life. Mathematical modelling is like a tool to understand the language of living things, helping us see patterns, guess what might happen, and get how these complex things work. This workshop is more than just learning; it's about giving people the knowledge and skills to find secrets and use what they find, making a big journey into how math and life connect.
Objectives:
The distinguished workshop entitled " Mathematical Models and Methods in Life Sciences " aims to unravel the complexities of mathematical modelling and its profound applications in living systems. As we navigate the dynamic interplay between mathematics and the living world, our workshop aims to foster a deep understanding of these complex systems. Below are the primary objectives of the workshop.
1. Comprehensive Understanding: Participants will gain a profound understanding of the fundamental principles of dynamical systems, differential equations (ODE, PDE & Stochastic), and their pivotal role in comprehending the complex dynamics of living systems.
2. Stochastic Modeling: The workshop will explore stochastic modelling techniques and Monte Carlo simulations, providing participants with the tools to address the inherent uncertainties in living systems. Emphasis will be placed on demonstrating how uncertainties can be effectively modelled in differential equations.
3. Practical Proficiency: Through hands-on sessions utilizing tools like MATLAB, Mathematica, and MATCONT, participants will develop practical skills for simulating and analysing the behaviours of living systems.
4. Expert Knowledge Transfer: Renowned experts, both national and international, including interdisciplinary scientists from various living systems disciplines, will share their expertise through specialized lectures, fostering a deeper exploration of advanced modelling concepts and their applications.
5. Network Building: Participants will have the opportunity to connect with experts, practitioners, and fellow enthusiasts, creating a collaborative environment that extends beyond the workshop for ongoing support and collaboration.
6. Application-oriented Learning: Case studies in ecology, epidemiology, biology, and bio-economics will ground theoretical knowledge in practical applications, ensuring participants can apply their skills to real-world challenges.
Course Content:
Module 1: Fundamentals of Mathematical Modelling in Life Sciences
o Introduction to Dynamical Systems and Differential Equations
o Theoretical foundations for modelling ecological, epidemiological, biological, and bioeconomic systems
o Case studies illustrating the application of mathematical models in life sciences
Module 2: Bifurcation theory and Pattern Formation
o Bifurcation theory and its role in understanding system behaviour
o Stability analysis and phase plane methods
o Exploration of chaos theory
o Reaction-diffusion models and pattern formation in biology
o Chemotaxis modeling in ecological context
Module 3: Uncertainty Modelling Techniques
o Introduction to stochastic processes in life science modelling
o Application of stochastic differential equations
o Fuzzy uncertainty modelling approaches
Module 4: Hands on training on MATLAB tools for bifurcation analysis and pattern formation
o Introduction to MATLAB solvers for dynamical system models
o Hands on training of Pplane and MATCONT
o Introduction and hands on training to reaction-diffusion system solvers
Module 5: Paper/poster presentation and networking sessions
o Interactive sessions allowing participants to apply acquired knowledge to solve specific problems.
o Oral/poster research presentation by selected student participants.
This course content structure aims to balance theoretical foundations with practical applications, ensuring participants not only grasp the fundamental concepts but also gain hands-on experience in utilizing tools for mathematical modeling in living systems.
Eligibility for Participation
o PG/ Ph.D./ Post Docs/ Faculty in any branch of Mathematics/Life Sciences/Biotechnology.
Outcome of the Workshop:
Participants will gain a deep understanding and practical proficiency in mathematical modelling, dynamical systems, stochasticity and mastering tools like MATLAB and Mathematica. By engaging with interdisciplinary experts, attendees will foster collaborative networks, enhancing their ability to apply stochastic modelling techniques and solve real-world challenges in living systems. The workshop aims to empower a cohort of lifelong learners, ready to contribute to the ongoing evolution of mathematical modelling in diverse scientific disciplines