Please contact Chaitanya for further information on the projects: firstname.lastname@example.org
1. Eco-evolutionary tuning of biological clocks
Biological clocks are oscillating physiological processes which allow organisms to coordinate their life with environmental cycles such as night and day, seasons or tides. They are synchronized with the environment through a process called entrainment. Usually, biological clocks can be entrained by several environmental factors such as light, temperature or humidity. All of those factors are inherently subject to noise. Starting from existing models of entrainment, we would like to develop a mechanistic model for how several noisy factors jointly entrain the clock. This includes stochastic approaches, development of probabilistic models, and demonstrating the robustness of oscillations to environmental noise. In a second step, we would like to study the evolution of such a mechanistic model along with ecological (biotic and abiotic) inputs. We are interested in developing the skills and supporting the career of a student with a background in physics or applied mathematics, keenly interested in evolutionary biology. Prior experience in the dynamical systems and in particular the theory of phase oscillators is desirable but not required at the start. While offered by Gokhale, the project will develop in close collaboration with the group of Tobias Kaiser.
2. Co-evolutionary dynamics in the light of extended evolutionary synthesis
Theories of predator-prey-host-parasite dynamics are a part of classical ecology. Together with evolution, we can address Red-Queen like scenarios with ever-evolving antagonists. The extended evolutionary synthesis includes phenomena such as innovation and learning. Personality effects of individual antagonists are often averaged.
The project aims to incorporate the properties of extended evolutionary synthesis in the traditional models of co-evolution.
The theory will be developed together with an experimental collaborator working on the individual variation in the predatory behaviour of spiders. Primarily developed as a theory project, the ideal candidate is expected to be highly enthusiastic, working at the interface of theory development and interacting with experimentalists. Knowledge about the theory of dynamical systems, stochastic processes and scientific computing would be desirable. Familiarity with evolutionary and ecological models of co-evolution and mathematical biology would be an advantage, but if not, then a keen interest in the same is a requirement.
3. Theoretical Models of Synthetic Biology
Synthetic biology has boomed in the recent few years as a powerful biotechnological tool. The applications of this technology range from personalized medicine to environmental interventions. The use of these systems is in its nascent stage, and the engineered constructs need to be prototyped and tested before being deployed. Rigorous mathematical testing also includes performance improvements, robustness against ecological fluctuations and resilience to evolutionary change.
This project aims at reviewing the developments in the field of synthetic biology and developing predictive models of engineered constructs.
By reworking and building upon the existing models of gene-regulatory networks, control theory and ecological interactions (mutualists, parasites), the project aims to identify the minimal necessary components to build a self-sustaining community.
The analysis, therefore, spans the dynamics from within a cell to a population of cells. Using information from engineered systems such as Yeast and E.coli, the project will involve developing models to be tested in the lab. Knowledge of microbial community assembly, familiarity with mathematical biology, simulation techniques and strong motivation for developing collaborations with experimentalist would be desirable.