Separation of Traveling Waves in Cortical Networks Using Optical Imaging

Nicolas Schmidt (1) , Gabriel Peyré (1) , Yves Frégnac (2, 3) , Per Roland (4)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision
2 INAF - Institut de Neurobiologie Alfred Fessard
3 UNIC - Unité de neurosciences intégratives et computationnelles
4 Karolinska Institutet [Stockholm]

This paper introduces a mathematical model of the spatio-temporal patterns of visually evoked activity observed using Voltage-Sensitive Dye Imaging (VSDI) of the visual cortex. The cortical activity is described using a linear superposition of waves traveling with different speeds. This model improves the quality of the wave detection and still respects the previous approaches, as it integrates several biologically plausible constraints: 1) separability of the sources in terms of cortical location; 2) separability of the waves in terms of propagation speed, and 3) additivity of the depolarizing effects of the waves. Under these assumptions, a traveling component analysis algorithm performs a full separation of the set of waves and recovers the locations of the neural sources. Both features could help to better understand the dynamics of evoked activity in cortical sensory networks.

Mots clés: Optical imaging; Inverse problems; Propagation; Partial differential equations; Signal reconstruction

Domaines: Imagerie médicale; Traitement du signal et de l'image [eess.SP]; Equations aux dérivées partielles [math.AP]; Neurobiologie; Traitement du signal et de l'image [eess.SP]

Nicolas Schmidt, Gabriel Peyré, Yves Frégnac, Per Roland. Separation of Traveling Waves in Cortical Networks Using Optical Imaging. IEEE International Symposium on Biomedical Imaging (ISBI) 2010, Apr 2010, Rotterdam, Netherlands. pp.868-871, ⟨10.1109/ISBI.2010.5490124⟩. ⟨hal-00450733⟩