User profiles for Erik Martens

Erik Andreas Martens

Centre of Mathematical Sciences, Lund University, Sweden
Verified email at pm.me
Cited by 3218

Chimera states in mechanical oscillator networks

EA Martens, S Thutupalli, A Fourrière… - Proceedings of the …, 2013 - National Acad Sciences
The synchronization of coupled oscillators is a fascinating manifestation of self-organization
that nature uses to orchestrate essential processes of life, such as the beating of the heart. …

[HTML][HTML] STAT2 signaling restricts viral dissemination but drives severe pneumonia in SARS-CoV-2 infected hamsters

…, T Vercruysse, X Wang, D Jochmans, E Martens… - Nature …, 2020 - nature.com
Emergence of SARS-CoV-2 causing COVID-19 has resulted in hundreds of thousands of
deaths. In search for key targets of effective therapeutics, robust animal models mimicking …

Cerebrospinal fluid influx drives acute ischemic tissue swelling

…, DH Kelley, JH Thomas, PG Hjorth, EA Martens… - Science, 2020 - science.org
INTRODUCTION Cerebrospinal fluid (CSF) covers and protects the brain from mechanical
injury. CSF also flows along an interconnected network of perivascular spaces surrounding …

Zymography methods for visualizing hydrolytic enzymes

J Vandooren, N Geurts, E Martens, PE Van den Steen… - Nature …, 2013 - nature.com
Zymography is a technique for studying hydrolytic enzymes on the basis of substrate
degradation. It is a powerful, but often misinterpreted, tool yielding information on potential …

Solvable model of spiral wave chimeras

EA Martens, CR Laing, SH Strogatz - Physical review letters, 2010 - APS
Spiral waves are ubiquitous in two-dimensional systems of chemical or biological oscillators
coupled locally by diffusion. At the center of such spirals is a phase singularity, a topological …

Exact results for the Kuramoto model with a bimodal frequency distribution

EA Martens, E Barreto, SH Strogatz, E Ott, P So… - Physical Review E, 2009 - APS
We analyze a large system of globally coupled phase oscillators whose natural frequencies
are bimodally distributed. The dynamics of this system has been the subject of long-standing …

[PDF][PDF] The glymphatic system: Current understanding and modeling

…, T Lilius, I Lundgaard, KA Mardal, EA Martens… - IScience, 2022 - cell.com
We review theoretical and numerical models of the glymphatic system, which circulates
cerebrospinal fluid and interstitial fluid around the brain, facilitating solute transport. Models …

Characteristic sizes of life in the oceans, from bacteria to whales

…, C Lindemann, EA Martens… - Annual review of …, 2016 - annualreviews.org
The size of an individual organism is a key trait to characterize its physiology and feeding
ecology. Size-based scaling laws may have a limited size range of validity or undergo a …

[HTML][HTML] Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review

…, M Goodfellow, CR Laing, EA Martens - The Journal of …, 2020 - Springer
Many biological and neural systems can be seen as networks of interacting periodic processes.
Importantly, their functionality, ie, whether these networks can perform their function or …

Controlling chimeras

C Bick, EA Martens - New Journal of Physics, 2015 - iopscience.iop.org
Coupled phase oscillators model a variety of dynamical phenomena in nature and technological
applications. Non-local coupling gives rise to chimera states which are characterized by …