3 citations · 8 across the 9 of their papers we have counts for
11 papers
Fine-tuning neural excitation/inhibition for tailored ketamine use in treatment-resistant depression
Erik D. Fagerholm, Robert Leech, Steven Williams +3
The glutamatergic modulator ketamine has been shown to rapidly reduce depressive symptoms in patients with treatment-resistant major depressive disorder (TRD). Although its mechani…
The principle of stationary action in neural systems
Erik D. Fagerholm, Karl J. Friston, Rosalyn J. Moran +1
The principle of stationary action is a cornerstone of modern physics, providing a powerful framework for investigating dynamical systems found in classical mechanics through to qu…
Parcels and particles: Markov blankets in the brain
Karl J. Friston, Erik D. Fagerholm, Tahereh S. Zarghami +4
At the inception of human brain mapping, two principles of functional anatomy underwrote most conceptions - and analyses - of distributed brain responses: namely functional segrega…
Fighting seizures with seizures: diffusion and stability in neural systems
Erik D. Fagerholm, Chayanin Tangwiriyasakul, Karl J. Friston +8
Seizure activity is a ubiquitous and pernicious pathophysiology that, in principle, should yield to mathematical treatments of (neuronal) ensemble dynamics - and therefore interven…
Estimating required 'lockdown' cycles before immunity to SARS-CoV-2: Model-based analyses of susceptible population sizes, 'S0', in seven European countries including the UK and Ireland
Rosalyn J. Moran, Erik D. Fagerholm, Maell Cullen +6
We used Bayesian model inversion to estimate epidemic parameters from the reported case and death rates from seven countries using data from late January 2020 to April 5th 2020. Tw…
Seizure intervention via diffusion mechanisms
Erik D. Fagerholm, Rosalyn J. Moran, Robert Leech
We begin by demonstrating that the neuronal state equation from Dynamic Causal Modelling takes on the form of the discretized Fokker-Planck equation upon the inclusion of local act…
Estimating quantities conserved by virtue of scale invariance in timeseries
Erik D. Fagerholm, W. M. C. Foulkes, Yasir Gallero-Salas +4
In contrast to the symmetries of translation in space, rotation in space, and translation in time, the known laws of physics are not universally invariant under transformation of s…
Dynamic causal modelling of phase-amplitude interactions
Erik D. Fagerholm, Rosalyn J. Moran, Ines R. Violante +2
Models of coupled oscillators are used to describe a wide variety of phenomena in neuroimaging. These models typically rest on the premise that oscillator dynamics do not evolve be…
Network constraints in scale free dynamical systems
Erik D. Fagerholm, W. M. C. Foulkes, Yasir Gallero-Salas +4
Scale free dynamics are observed in a variety of physical and biological systems. These include neural activity in which evidence for scale freeness has been reported using a range…
The Noether charges of all analytic Lagrangians associated with a scale invariant action
Erik D. Fagerholm, Robert Leech
Here we consider scale invariant dynamical systems within a classical particle description of Lagrangian mechanics. We begin by showing the condition under which a spatial and temp…
Breaking the bonds of weak coupling: the dynamic causal modelling of oscillator amplitudes
Erik D. Fagerholm, Rosalyn J. Moran, Inês R. Violante +2
Models of coupled oscillators are useful in describing a wide variety of phenomena in physics, biology and economics. These models typically rest on the premise that the oscillator…