Skip to main content

A mathematical model for persistent post-CSD vasoconstriction.

Publication ,  Journal Article
Xu, S; Chang, JC; Chow, CC; Brennan, KC; Huang, H
Published in: PLoS computational biology
July 2020

Cortical spreading depression (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 model 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.

Duke Scholars

Altmetric Attention Stats
Dimensions Citation Stats

Published In

PLoS computational biology

DOI

EISSN

1553-7358

ISSN

1553-734X

Publication Date

July 2020

Volume

16

Issue

7

Start / End Page

e1007996

Related Subject Headings

  • Vasoconstriction
  • Stroke
  • Proton-Translocating ATPases
  • Phosphorylation
  • Oxygen
  • Oscillometry
  • Neurovascular Coupling
  • Models, Theoretical
  • Mitochondria
  • Membrane Potentials
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Xu, S., Chang, J. C., Chow, C. C., Brennan, K. C., & Huang, H. (2020). A mathematical model for persistent post-CSD vasoconstriction. PLoS Computational Biology, 16(7), e1007996. https://doi.org/10.1371/journal.pcbi.1007996
Xu, Shixin, Joshua C. Chang, Carson C. Chow, K. C. Brennan, and Huaxiong Huang. “A mathematical model for persistent post-CSD vasoconstriction.PLoS Computational Biology 16, no. 7 (July 2020): e1007996. https://doi.org/10.1371/journal.pcbi.1007996.
Xu S, Chang JC, Chow CC, Brennan KC, Huang H. A mathematical model for persistent post-CSD vasoconstriction. PLoS computational biology. 2020 Jul;16(7):e1007996.
Xu, Shixin, et al. “A mathematical model for persistent post-CSD vasoconstriction.PLoS Computational Biology, vol. 16, no. 7, July 2020, p. e1007996. Epmc, doi:10.1371/journal.pcbi.1007996.
Xu S, Chang JC, Chow CC, Brennan KC, Huang H. A mathematical model for persistent post-CSD vasoconstriction. PLoS computational biology. 2020 Jul;16(7):e1007996.

Published In

PLoS computational biology

DOI

EISSN

1553-7358

ISSN

1553-734X

Publication Date

July 2020

Volume

16

Issue

7

Start / End Page

e1007996

Related Subject Headings

  • Vasoconstriction
  • Stroke
  • Proton-Translocating ATPases
  • Phosphorylation
  • Oxygen
  • Oscillometry
  • Neurovascular Coupling
  • Models, Theoretical
  • Mitochondria
  • Membrane Potentials