Modeling of post-stroke stimulation of cortical tissue

Anne Beuter (1) , Anne Balossier (2, 3) , Sergei Trofimchuk (4) , Vitaly Volpert (5, 6)

1 IMS - Laboratoire de l'intégration, du matériau au système
2 TIMONE - Hôpital de la Timone [CHU - APHM]
3 AMU - Aix Marseille Université
4 Instituto de Matemática y Física - Universidad de Talca
5 DRACULA - Multi-scale modelling of cell dynamics : application to hematopoiesis
6 MMCS - Modélisation mathématique, calcul scientifique

Following a stroke, cortical networks in the penumbra area become fragmented and partly deactivated. We develop a model to study the propagation of waves of electric potential in the cortical tissue with integro-differential equations arising in neural field models. The wave speed is characterized by the tissue excitability and connectivity determined through parameters of the model. Post-stroke tissue damage in the penumbra area creates a hypoconnectivity and decreases the speed of wave propagation. It is proposed that external stimulation could restore the wave speed in the penumbra area under certain conditions of the parameters. Model guided cortical stimulation could be used to improve the functioning of cortical networks.

Domaines: Equations aux dérivées partielles [math.AP]

Anne Beuter, Anne Balossier, Sergei Trofimchuk, Vitaly Volpert. Modeling of post-stroke stimulation of cortical tissue. Mathematical Biosciences, 2018, 305, pp.146-159. ⟨10.1016/j.mbs.2018.08.014⟩. ⟨hal-01941460⟩