A mathematical model of mitochondrial calcium-phosphate dissolution as a mechanism for persistent post-CSD vasoconstriction

Cortical spreading depolarization (CSD) is the propagation of a relatively slow wave in cortical brain tissue that is linked to a number of pathological conditions such as stroke and migraine. Most of the existing literature investigates the dynamics of short term phenomena such as the depolarization and repolarization of membrane potentials or large ion shifts. Here, we focus on the clinically-relevant hour-long state of neurovascular malfunction in the wake of CSDs. This dysfunctional state involves widespread vasoconstriction and a general disruption of neurovascular coupling. We demonstrate, using a mathematical model, that dissolution of calcium that has aggregated within the mitochondria of vascular smooth muscle cells can drive an hour-long disruption. We determine the rate of calcium clearance as well as the dynamical implications on overall blood flow. Based on reaction stoichiometry, we quantify a possible impact of calcium phosphate dissolution on the maintenance of F0F1-ATP synthase activity.

Crystal and Magnetic Structures of High Pressure Perovskite-Type Oxyfluorides,PbFeO2F and 0.5PbFeO2F-0.5PbTiO3 [Pb(Fe0.5Ti0.5)O2.5F0.5]

The perovskites PbFeO2F and 0.5PbFeO2F-0.5PbTiO3 were synthesized at high temperatures (1000°C) and high pressures (4 – 6 GPa). The crystal and magnetic structures were determined using powder neutron diffraction. Quenched PbFeO2F has the cubic perovskite-type, Pm3m, structure in which the Pb ion shifts from ideal A-site along the <110> directions, which is in good accordance with a previous report. The magnetic structure is antiferromagnetic G-type with propagation vector k = (1/2 1/2 1/2) and an Fe3+ ordered moment of 3.83 μB at 283K. The Néel temperature is 655(5) K. Annealed PbFeO2F has a tetragonal perovskite-type structure at room temperature and transforms reversibly from tetragonal to cubic at approximately 470 K. A superlattice with dimensions a × a × 5c is observed both in electron and x-ray diffraction. The solid solution 0.5PbFeO2F-0.5PbTiO3 belongs to the non-centrosymmetric space group P4mm. The magnetic structure is G-type antiferromagnetic and shows a weak ferromagnetic moment at 4 K. Consequently, 0.5PbFeO2F-0.5PbTiO3 is simultaneously ferroelectric and a weak ferromagnet at low temperature. The Néel temperature is 450 K but the temperature dependence of the ordered Fe moment is anomalous.

Extracellular pH Changes and Accompanying Cation Shifts During Ouabain-Induced Spreading Depression

Interstitial ionic shifts that accompany ouabain-induced spreading depression (SD) were studied in rat hippocampal and cortical slices in the presence and absence of extracellular Ca2+. A double-barreled ion-selective microelectrode specific for H+, K+, Na+, or Ca2+ was placed in the CA1 stratum radiatum or midcortical layer. Superfusion of 100 μM ouabain caused a rapid, negative, interstitial voltage shift (2–10 mV) after 3–5 min. The negativity was accompanied by a rapid alkaline transient followed by prolonged acidosis. In media containing 3 mM Ca2+, the alkalosis induced by ouabain averaged 0.07 ± 0.01 unit pH. In media with no added Ca2+ and 2 mM EGTA, the alkaline shift was not significantly different (0.09 ± 0.02 unit pH). The alkaline transient was unaffected by inhibiting Na+-H+ exchange with ethylisopropylamiloride (EIPA) or by blocking endoplasmic reticulum Ca2+ uptake with thapsigargin or cyclopiazonic acid. Alkaline transients were also observed in Ca2+-free media when SD was induced by microinjecting high K+. The late acidification accompanying ouabain-induced SD was significantly reduced in Ca2+-free media and in solutions containing EIPA. The ouabain-induced SD was associated with a rapid but relatively modest increase in [K+]o. In the presence of 3 mM external Ca2+, the mean peak elevation of [K+]o was 12 ± 0.62 mM. In Ca2+-free media, the elevation of [K+]o had a more gradual onset and reached a significantly larger peak value, which averaged 22 ± 1.1 mM. The decrease in [Na+]o that accompanied ouabain-induced SD was somewhat greater. The [Na+]o decreased by averages of 40 ± 7 and 33 ± 3 mM in Ca2+ and Ca2+-free media, respectively. In media containing 1.2 mM Ca2+, ouabain-induced SD was associated with a substantial decrease in [Ca2+]o that averaged 0.73 ± 0.07 mM. These data demonstrate that in comparison with conventional SD, ouabain-induced SD exhibits ion shifts that are qualitatively similar but quantitatively diminished. The presence of external Ca2+ can modulate the phenomenon but is irrelevant to the generation of the SD and its accompanying alkaline pH transient. Significance of these results is discussed in reference to the propagation of SD and the generation of interstitial pH changes.