User profiles for Erik A. Martens
Erik Andreas MartensCentre of Mathematical Sciences, Lund University, Sweden Verified email at pm.me Cited by 3222 |
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. …
that nature uses to orchestrate essential processes of life, such as the beating of the heart. …
Cerebrospinal fluid influx drives acute ischemic tissue swelling
INTRODUCTION Cerebrospinal fluid (CSF) covers and protects the brain from mechanical
injury. CSF also flows along an interconnected network of perivascular spaces surrounding …
injury. CSF also flows along an interconnected network of perivascular spaces surrounding …
Solvable model of spiral wave chimeras
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 …
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
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 …
are bimodally distributed. The dynamics of this system has been the subject of long-standing …
[PDF][PDF] The glymphatic system: Current understanding and modeling
We review theoretical and numerical models of the glymphatic system, which circulates
cerebrospinal fluid and interstitial fluid around the brain, facilitating solute transport. Models …
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 …
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
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 …
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 …
applications. Non-local coupling gives rise to chimera states which are characterized by …
Spatial structure increases the waiting time for cancer
Cancer results from a sequence of genetic and epigenetic changes that lead to a variety of
abnormal phenotypes including increased proliferation and survival of somatic cells and thus …
abnormal phenotypes including increased proliferation and survival of somatic cells and thus …
Basins of attraction for chimera states
Chimera states—curious symmetry-broken states in systems of identical coupled oscillators—typically
occur only for certain initial conditions. Here we analyze their basins of attraction …
occur only for certain initial conditions. Here we analyze their basins of attraction …