(Hover over to see inter-species
collaboration in the Martens lab ... )

Scientific Interests

My main research interest lies in the study of complex nonlinear (dynamical) systems. I apply mathematical methods from nonlinear dynamics, bifurcation theory, numerical methods and simulations. To study complex behavior, I investigate problems in mathematical biology (evolutionary and ecological models, cancer development, coupled oscillators) and (bio-)physical systems (coupled oscillator systems and networks, fluid dynamics and pattern formation). I am also working on applying concepts from complex systems to applications of physiological/biomedical interest, such as the behavior of vascular networks.


Network Dynamics in Biology and Technology

[PRESS TO UNFOLD] Network dynamics in vascular physiology

Dynamical Systems Theory

[PRESS TO UNFOLD] Early warning signs of critical transitions in high dimensional systems

Synchronization Dynamics in Biology and Mechanics

[PRESS TO UNFOLD] Synchronization patterns in complex networks

[PRESS TO UNFOLD] Synchronization Theory in Coupled Networks and Nonlinear Dynamics

[PRESS TO UNFOLD] Applying and controlling chimera states in technological and biological settings

Evolutionary and Ecological Dynamics

[PRESS TO UNFOLD] Population dynamics in ecology: Seasonal forcing of trophic chains.

[PRESS TO UNFOLD] Size, sense and allometry of marine life and animals.

[PRESS TO UNFOLD] Population Dynamics in Evolution of Species in Spatially Extended Habitats

[PRESS TO UNFOLD] Cancer progression in spatially extended epithelia

Fluid Instabilities

[PRESS TO UNFOLD] Symmetry breaking and pattern formation in open surface flows

2010 Erik (technique by Sven)