Neurocapillary-Modulation

Abstract

Objectives: We consider two consequences of brain capillary ultrastructure in neuromodulation. First, blood-brain barrier (BBB) polarization as a consequence of current crossing between interstitial space and the blood. Second, interstitial current flow distortion around capillaries impacting neuronal stimulation.

Materials and methods: We developed computational models of BBB ultrastructure morphologies to first assess electric field amplification at the BBB (principle 1) and neuron polarization amplification by the presence of capillaries (principle 2). We adapt neuron cable theory to develop an analytical solution for maximum BBB polarization sensitivity.

Results: Electrical current crosses between the brain parenchyma (interstitial space) and capillaries, producing BBB electric fields (E_BBB) that are >400x of the average parenchyma electric field (Ē_BRAIN), which in turn modulates transport across the BBB. Specifically, for a BBB space constant (λ_BBB) and wall thickness (d_th-BBB), the analytical solution for maximal BBB electric field (E^A_BBB) is given as: (Ē_BRAIN × λ_BBB)/d_th-BBB. Electrical current in the brain parenchyma is distorted around brain capillaries, amplifying neuronal polarization. Specifically, capillary ultrastructure produces ∼50% modulation of the Ē_BRAIN over the ∼40 μm inter-capillary distance. The divergence of E_BRAIN (Activating function) is thus ∼100 kV/m² per unit Ē_BRAIN.

Conclusions: BBB stimulation by principle 1 suggests novel therapeutic strategies such as boosting metabolic capacity or interstitial fluid clearance. Whereas the spatial profile of E_BRAIN is traditionally assumed to depend only on macroscopic anatomy, principle 2 suggests a central role for local capillary ultrastructure-which impact forms of neuromodulation including deep brain stimulation (DBS), spinal cord stimulation (SCS), transcranial magnetic stimulation (TMS), electroconvulsive therapy (ECT), and transcranial electrical stimulation (tES)/transcranial direct current stimulation (tDCS).

Keywords: BBB amplification; Blood-brain barrier; electric field; neuron polarization; neurovascular coupling; neurovascular unit.