The relationship between node degree and dissipation rate in networks of diffusively coupled oscillators and its significance for pancreatic beta cells.

  title={The relationship between node degree and dissipation rate in networks of diffusively coupled oscillators and its significance for pancreatic beta cells.},
  author={Marko Gosak and Andra{\vz} Sto{\vz}er and Rene Markovi{\vc} and Jurij Dolen{\vs}ek and Marko Marhl and Marjan Slak Rupnik and Matja{\vz} Perc},
  volume={25 7},
Self-sustained oscillatory dynamics is a motion along a stable limit cycle in the phase space, and it arises in a wide variety of mechanical, electrical, and biological systems. Typically, oscillations are due to a balance between energy dissipation and generation. Their stability depends on the properties of the attractor, in particular, its dissipative characteristics, which in turn determine the flexibility of a given dynamical system. In a network of oscillators, the coupling additionally… 

Figures from this paper

Membrane Potential and Calcium Dynamics in Beta Cells from Mouse Pancreas Tissue Slices: Theory, Experimentation, and Analysis

Combining the experimental approach of high-resolution imaging with the advanced analysis of noisy data enables novel physiological insights and reassessment of current concepts in unprecedented detail.

Glucose-dependent activation, activity, and deactivation of beta cell networks in acute mouse pancreas tissue slices

Many details of glucose-stimulated intracellular calcium changes in beta cells during activation, activity and deactivation, as well as their concentration-dependence, remain to be described.

Ca2+ oscillations, waves, and networks in islets from human donors with and without type 2 diabetes

Cal calcium imaging of isolated human islets was used to assess their collective cell behavior and type 2 diabetes, where glucose-dependence was retained, but a reduced activity, locally restricted waves, and more segregated networks were detected compared with control islets.

Hyperchaos and Coexisting Attractors in a Modified van der Pol-Duffing Oscillator

Various dynamical properties of the proposed system are investigated with the help of Lyapunov exponent to derive a new modified hyperchaotic van der Pol–Duffing snap oscillator.

Network science of biological systems at different scales: A review.

The triggering pathway to insulin secretion: Functional similarities and differences between the human and the mouse β cells and their translational relevance

This review follows the most central triggering pathway to insulin secretion from its very beginning when glucose enters the β cell to the calcium oscillations it produces to trigger fusion of insulin containing granules with the plasma membrane.



How optimal synchronization of oscillators depends on the network structure and the individual dynamical properties of the oscillators

The problem of making a network of dynamical systems synchronize onto a common evolution is the subject of much ongoing research in several scientific disciplines. It is nowadays a well-known fact

Oscillation death in diffusively coupled oscillators by local repulsive link.

Oscillation death is reported in a network of coupled synchronized oscillators in the presence of additional repulsive coupling and the number of repulsive links is always fewer than the size of the network.

Transition from stochastic to deterministic behavior in calcium oscillations.

This work studies the transition from stochastic to deterministic behavior in a widely studied system, namely the signal transduction via calcium, especially calcium oscillations, and concludes that the attractive properties of a system, expressed, e.g., by the divergence of the system, are a good measure for determining which simulation algorithm is appropriate in terms of speed and realism.

Potential landscape and flux framework of nonequilibrium networks: Robustness, dissipation, and coherence of biochemical oscillations

It is found that the entropy production of the whole network, characterizing the dissipation costs from the combined effects of both landscapes and fluxes, decreases when the fluctuations decrease, and less dissipation leads to more robust networks.

Hierarchical synchronization in complex networks with heterogeneous degrees.

A hierarchical organization of the synchronization behavior with respect to the collective dynamics of the network is found, where oscillators with more connections are synchronized more closely by the collective Dynamics and constitute the dynamical core of thenetwork.

How coupling determines the entrainment of circadian clocks

AbstractAutonomous circadian clocks drive daily rhythms in physiology and behaviour. A network of coupled neurons, the suprachiasmatic nucleus (SCN), serves as a robust self-sustained circadian

Potential and flux landscapes quantify the stability and robustness of budding yeast cell cycle network

This work identified some key structural elements for wirings of the cell cycle network responsible for the change of the barrier height and therefore the global stability of the system through the sensitivity analysis.