Cardiac fibrillation (spontaneous, asynchronous contractions of cardia
c muscle fibres) is the leading cause of death in the industrialized w
orld(1), yet it is not dear how it occurs. It has been debated whether
or not fibrillation is a random phenomenon. There is some determinism
during fibrillation(2,3), perhaps resulting from rotating waves of el
ectrical activity(4-6). Here we present a new algorithm that markedly
reduces the amount of data required to depict the complex spatiotempor
al patterns of fibrillation. We use a potentiometric dye(7) and video
imaging(8,9) to record the dynamics of transmembrane potentials at man
y sites during fibrillation. Transmembrane signals at each site exhibi
t a strong periodic component centred near 8 Hz. This periodicity is s
een as an attractor in two-dimensional-phase space and each site can b
e represented by its phase around the attractor, Spatial phase maps at
each instant reveal the 'sources' of fibrillation in the form of topo
logical defects, or phase singularities(10), at a few sites. Using our
method of identifying phase singularities, we can elucidate the mecha
nisms for the formation and termination of these singularities, and re
present an episode of fibrillation by locating singularities. Our resu
lts indicate an unprecedented amount of temporal and spatial organizat
ion during cardiac fibrillation.