Idealized multiple-timescale model of cortical spreading depolarization initiation and pre-epileptic hyperexcitability caused by NaV1.1/SCN1A mutations

Cerebral venous sinus thrombosis and SCN1A, a novel association?

BACKGROUND

Cerebral venous sinus thrombosis (CVST) is a rare cause of stroke. Acquired and inherited prothrombotic conditions are the most common risk factors for CVST. Sometimes, an etiology is not found. Wide utilization of next generation sequencing technologies in clinical practice may lead to identification of risk factors other than those classically associated with CVST.

METHOD AND RESULTS

This retrospective clinical-laboratory observational study has a reference patient who presented with CVST as an adolescent. Work up for prothrombotic conditions showed high homocysteine level secondary to homozygosity for a common polymorphism, c.677 C > T in the methylenetetrahydrofolate reductase (MTHFR) gene. His older unaffected brother has a similar MTHFR genotype and high homocysteine. The whole exome sequencing revealed a likely pathogenic variant in the sodium voltage gated channel, alpha subunit 1(SCN1A) gene.

CONCLUSION

CVST is a multifactorial disease. Prothrombotic conditions are the most common risk factors for CVST. High homocysteine due to the common MTHFR polymorphisms was previously attributed to various thrombotic conditions including CVST. Although high homocysteine due to MTHFR polymorphism may be a contributing factor, additional risk factors such as blood flow abnormalities during SCN1A related seizures may be needed for thrombosis.

Traveling waves in a model for cortical spreading depolarization with slow-fast dynamics

Cortical spreading depression and spreading depolarization (CSD) are waves of neuronal depolarization that spread across the cortex, leading to a temporary saturation of brain activity. They are associated with various brain disorders such as migraine and ischemia. We consider a reduced version of a biophysical model of a neuron-astrocyte network for the initiation and propagation of CSD waves [Huguet et al., Biophys. J. 111(2), 452-462, 2016], consisting of reaction-diffusion equations. The reduced model considers only the dynamics of the neuronal and astrocytic membrane potentials and the extracellular potassium concentration, capturing the instigation process implicated in such waves. We present a computational and mathematical framework based on the parameterization method and singular perturbation theory to provide semi-analytical results on the existence of a wave solution and to compute it jointly with its velocity of propagation. The traveling wave solution can be seen as a heteroclinic connection of an associated system of ordinary differential equations with a slow-fast dynamics. The presence of distinct time scales within the system introduces numerical instabilities, which we successfully address through the identification of significant invariant manifolds and the implementation of the parameterization method. Our results provide a methodology that allows to identify efficiently and accurately the mechanisms responsible for the initiation of these waves and the wave propagation velocity.