ArticleChaos, solitons, and fractals2023
Ion gradient-driven bifurcations of a multi-scale neuronal model.
Article in Chaos, solitons, and fractals, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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Who cites it
4 citing papers in PubMed.
- Dynamics and conditions for inhibitory synaptic current to induce bursting and spreading depolarization in pyramidal neurons.Scientific reports · 2025Article
- Brain aging shows nonlinear transitions, suggesting a midlife "critical window" for metabolic intervention.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Achieving Occam's razor: Deep learning for optimal model reduction.PLoS computational biology · 2024Article
- Ketosis regulates KImaging neuroscience (Cambridge, Mass.) · 2024Article
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3 authors.
Funding
Abstract
Metabolic limitations within the brain frequently arise in the context of aging and disease. As the largest consumers of energy within the brain, ion pumps that maintain the neuronal membrane potential are the most affected when energy supply becomes limited. To characterize the effects of such limitations, we analyze the ion gradients present in a conductance-based (Morris-Lecar) neural mass model. We show the existence and locations of Neimark-Sacker and period-doubling bifurcations in the sodium, calcium, and potassium reversal potentials and demonstrate that these bifurcations form physiologically relevant bounds of ion gradient variability. Within these bounds, we show how depolarization of the gradients causes decreased neural activity. We also show that the depolarization of ion gradients decreases inter-regional coherence, causing a shift in the critical point at which the coupling occurs and thereby inducing loss of synchrony between regions. In this way, we show that the Larter-Breakspear model captures ion gradient variability present at the microscale level and propagates these changes to the macroscale effects such as those observed in human neuroimaging studies.
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