Modeling of post-stroke stimulation of cortical tissue

DOI10.1016/j.mbs.2018.08.014zbMath1409.92029OpenAlexW2891790172WikidataQ91508688 ScholiaQ91508688MaRDI QIDQ669081

Sergei I. Trofimchuk, Anne Balossier, Vitaly A. Volpert, Anne Beuter

Publication date: 20 March 2019

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2018.08.014

zbMATH Keywords

wave speedstrokebrain tissue

Mathematics Subject Classification ID

Neural biology (92C20) PDEs in connection with biology, chemistry and other natural sciences (35Q92)

Related Items (3)

Cortical stimulation in aphasia following ischemic stroke: toward model-guided electrical neuromodulation ⋮ Nonlinear analysis of periodic waves in a neural field model ⋮ Traveling waves in delayed reaction-diffusion equations in biology

Cites Work

• Spectrum of some integro-differential operators and stability of travelling waves
• Asymptotic behavior of solutions of a nonlinear diffusion equation with a source term of general form
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• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Dynamics of pattern formation in lateral-inhibition type neural fields
• Construction of the Leray-Schauder degree for elliptic operators in unbounded domains
• The approach of solutions of nonlinear diffusion equations to travelling wave solutions
• Existence and uniqueness of travelling waves for a neural network
• A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue
• Past, Present and Future of Brain Stimulation
• Elliptic Partial Differential Equations

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