Where will it lead? Nobody knows. Even Professor Yoshiko Kuramoto himself was surprised about the many applications of his model. We thank him for his elegant and productive model.
link.springer.com/book/10.1007...
Sheets of coupled oscillators exhibiting complex spatial sycnhronization
Partial synchronisation is the most interesting scenario because it resembles the eternal waxing and waning of brain activity. It inspires us to investigate potential mechanisms of cognition, and perhaps even free will, all in the context of synchronisation phenomena.
Nil-, partial- and fully-locked phase oscillators plotted on the unit circle.
Phase models are oscillators. They operate much like an analogue clock where the phase advances at constant speed (natural frequency). When oscillators are coupled together, they influence each other’s timing. They can synchronise completely or partially depending on the nature of the coupling.
The Kuramoto model is ideal for synchronisation because it is a phase model. It describes the timing of events only. In the case of a neuron, it is the timing of the spikes that matter. In the case of an EEG, it is the phase of the electrical signals that matter.
en.wikipedia.org/wiki/Kuramot...
It is generally assumed that two or more regions of the brain are engaged in a common task when their neural activity is synchronised. It is the basis of the concept of functional connectivity. The big question in neuroscience is how that connectivity waxes and wanes with cognitive tasks.
Some years ago, Michael Breakspear (@drbreaky.bsky.social), myself and Andreas Daffertshofer published a review of the Kuramoto model in the context of #ComputationalNeuroscience. It became a popular introduction to modelling #synchronisation in the brain.
www.frontiersin.org/journals/hum...
Congratulations Dr Osvaldo Contreras
Congratulations @osvaldoics.bsky.social on being awarded a MAWA/RFF Research Grant - supporting his project Animal Free Human Stem Cell Models to Investigate Congenital Heart Defects. Grateful to the MAWA Trust and the Rozzoli Family Fund for supporting this work.
It was Bard's PhD topic you know. Jack was his supervisor.
Screenshot of a bursting action potential in the Brain Dynamics Toolbox
The graphical user interface allows the model to be explored interactively. The user can then focus on the dynamics rather than the implementation details. See the gallery of models on the bdtoolbox.org website for more examples.
Schematic of the software architecture of the Brain Dynamics Toolbox
The benefit of the toolbox is that it allows modellers to define their system of equations as a matlab ODE function. Interchangeable solvers and plotting tools can then be applied to that system with no additional programming effort.
Cover image for the Handbook for the Brain Dynamics Toolbox
The #BrainDynamicsToolbox is an open toolbox for simulating #DynamicalSystems in matlab. It was designed for solving problems in #ComputationalNeuroscience but can be applied to any domain that uses nonlinear #DifferentialEquations. The homepage is bdtoolbox.org.
