A phase-separated droplet moving up a gradient of a regulator species.
Biomolecular condensates in cells or synthetic applications are subject to complex chemical environments, including various concentration gradients.
We investigate the motion of phase separated liquid droplets in gradients of other chemical species. We identify two different propulsion mechanisms: Chemical drift, driven by diffusive fluxes, and Marangoni flows, driven by differences in surface tension.
How do chemical gradients affect surface tension of multi-component interfaces? What transport mechanism dominantes in what environment? How can we control the distribution of droplets in a system?
To answer these questions, I am using field based simulations and analytical techniques to find the relevant mechanisms that drive the propulsion of condensates.
Controlling the size of droplets, for example in biological cells, is challenging because large droplets typically outcompete smaller droplets due to surface tension.
We investigate how droplet size can be controlled by active chemical reactions and hydrodynamic effects. Using numerical simulations of a binary mixture that phase separates and undergoes reactions, we identify three different dynamical regimes: Small droplets are dominated by coalescence due to hydrodynamic advection, then transition to an Ostwald ripening regime dominated by diffusion, and finally exhibit size control by active chemical reactions.
We can estimate the final droplet size analytically. However, our simulations reveal various final sizes indicating that the system is multi-stable. These metastable states can be explored by the system if advection and reactions are strong enough.
Schematic of our model involving two species that interconvert and phase separate from each other, leading to hexagonal droplet patterns in steady state.
In response to a short stimulation with EGF (green), the ERK activity shows repeated activity.
Supervised by Kazuhiro Aoki at the NIBB in Okazaki, Japan, we measured the transfer function of the EGFR-Ras-ERK signaling pathway in HeLa cells by way of ERK-KTR, a biosensor visualizing ERK activity by translocation to the nucleus, while activating ERK at different levels of the signaling pathway with microfluidic and optogenetic techniques.
We found oscillating ERK activity as a reaction to single short excitations of the pathway. The final goal will be to extract a minimal network model of the pathway by means of data regression.
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The brain is the most complex organ in our body. It constantly processes information and generates models of the world around us. It has been suggested that this predictive processing minimizes a functional akin to the thermodynamic notion of a free energy.
As part of a small interdisciplinary research group, supported by the German Academic Scholarship Foundation, we explore the utility of a Unified Theory of the Brain based on the so called Free Energy Principle (Karl Friston, 2010).
Supervised by Michael Kohl, we explored the theory and applications of the Free Energy Principle (FEP) through Literature and discussions with leading experts in the fields of neuroscience, computer science and philosophy. We particularly focused on the potential applicability of this abstract concept to laboratory experiments and evaluated its practical usefulness.
A topological Y-shaped Defect moving in
P-doped EuFe2As2.
V. S. Stolyarov, et al., Sci. Adv. 4 (2018)
(Licensed under CC BY 4.0)
Usually, ferromagnetic order suppresses superconductivity due to strong magnetic exchange interactions. However, in superconducting iron pnictides such as EuFe2(As1−xPx)2 the onset of ferromagnetism can lie below the superconducting transition, enabling coexistence.
Supervised by Alexei Vagov and Vollrath Martin Axt, and in collaboration with Tiago T. Saraiva, I developed a theory of coexisting ferromagnetism and superconductivity. I analyzed the formation of magnetization patterns in such materials, using linear stability analysis and methods from nonlinear analysis like Amplitude equation formalism.
Finally, I was able to predict the existence and motion of topological Y-shaped defects in the magnetization-stripe-pattern that were subsequently found in experiments. I analyzed their velocity and connected it to important material parameters.
In my Bachelors project, supervised by Vollrath Martin Axt, I explored the dispersion of surface plasmon polaritons. These are quasi-particles, arising from a coupling between electromagnetic waves and collective electron motion at the interface of a (semi-)conductor.
I solved Maxwell's equation coupled to the electronic response function for different simple surface geometries and found that a temperature increase leads to an increased group velocity for small wave-lengths and an increased damping. We also found that for certain geometries (wave-guides), we can achieve a group velocity of zero for very large wave-lengths, that are excitable with light or quantum emitters.
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Real part of the dispersion relation of surface plasmons in a wave-guide geometry (metal-dielectric-metal), where the space filled by the dielectric between the metals has width a.
Trajectory of a projectile shot into granular material under microgravity conditions.
S. Köstler, et al., EPJ Web Conf. 249 (2021)
(Licensed under CC BY 4.0)
Understanding how granular materials behave in microgravity is crucial for many engineering applications, including construction work and even spacecraft landings on asteroids.
This project, lead by Kai Huang, aimed to understand the impact characteristics of projectiles shot into granular matter, specifically under microgravity conditions. It also highlights methods to measure the trajectory of the projectile, without relying on optical imaging. Instead we used an IMU (Inertial Measurement Unit) that recorded tri-axial acceleration and angular velocity data.
As a student I developed analysis software to integrate the acceleration and angular velocity data to obtain the trajectory. Subsequently, I analyzed the IMU data from projectiles shot into granular matter in microgravity conditions (Drop Tower Bremen).
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