Numerical Simulation of Biological Interfaces and Elastic Surfaces in Fluid Flows
Explore the development of mathematical models and simulations of biological interfaces interacting with fluids. Develop and implement finite element codes to study elastic surfaces in fluid flows, gaining insights into fundamental biological processes.
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Project Description
Project Overview
The group of numerical mathematics at TU Freiberg, led by Prof. Dr. Sebastian Aland, focuses on developing mathematical models for the complex interactions between fluids and elastic materials. This project, in cooperation with HTW Dresden, aims to enhance understanding of biological processes by simulating elastic surfaces in fluid flows through advanced numerical methods.
What You Will Do
- Develop new mathematical models to simulate biological interfaces such as membranes and fluidic surfaces.
- Implement and discretize these models using finite element methods.
- Perform numerical simulation studies in collaboration with experimental partners to investigate fundamental biophysical phenomena.
Expected Outcomes
Generation of robust mathematical frameworks and numerical algorithms to better understand the role of elastic surfaces in biology. Insights gained will advance knowledge in biophysics and contribute to the broader computational mathematics community.
Why This Matters
Understanding the interplay between fluid flow and elastic biological interfaces is key to uncovering fundamental life principles. These simulations help bridge theory and experiment, enabling novel insights into cellular mechanics and other biological processes with important implications for medicine and bioengineering.
Entry Requirements
How to Apply
Eligibility
Supervisor Profile
Prof. Dr. Sebastian Aland is a leading researcher at TU Freiberg and HTW Dresden specializing in numerical simulation of surfaces and evolving geometries, combining expertise in numerical mathematics, scientific computing, and biophysical applications. His research integrates high-performance computing with mathematical modeling to understand fluid-elastic material interactions, contributing influential work recognized internationally with over 2600 citations and a solid h-index of 25.