Magnetic flow drives hippocampal-cortical memory rhythm shifts through bifurcation dynamics

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Abstract

This study investigates a biologically constrained computational model of the hippocampal- cortical circuit incorporating magnetic-flow feedback to elucidate the nonlinear dynamical mechanisms through which magnetic stimulation modulates network states and drives transitions among memory- related neural rhythms. Bifurcation analysis characterizes the response of the hippocampal CA3 excitatory population to variations in the magnetic-flow feedback coefficients. One-parameter bifurcation analysis identifies critical bifurcations governing rhythm initiation, stability, and complexity, whereas two-parameter bifurcation diagrams show that cortical feedback expands the oscillatory regime more strongly than hippocampal feedback. Combined feedback produces the largest expansion and generates closed torus-bifurcation curves, indicating quasi-periodic dynamics. An automated sharp wave ripple (SWR) detection algorithm quantifies the incidence of model- derived SWR-related events across feedback conditions, thereby relating changes in the magnetic-flow feedback coefficients to changes in simulated SWR-related rhythmic activity. We further examine how SWR counts depend on two key CX1 microcircuit parameters: excitatory self-connection strength and local connectivity probability. Comparative analysis of SWR distributions illustrates how the network transitions from baseline quiescence or irregular firing to coherent, feedback- driven rhythmic discharge. SWR-count heatmaps further map the modulation of SWR-related activity across the parameter space. Collectively, these results establish a theoretical framework for understanding how magnetic-flow feedback modulates hippocampal-cortical dynamics and SWR- related activity, providing a basis for investigating targeted magnetic neuromodulation in memory- related neural processes.

Keywords

hippocampal-cortical memory networks / magnetic stimulation / sharp wave ripples / rhythmic transitions / bifurcation dynamics

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