T. Ballain et al., ROLE OF THE NET ARCHITECTURE IN PIRIFORM CORTEX ACTIVITY - ANALYSIS BY A MATHEMATICAL-MODEL, Biological cybernetics, 79(4), 1998, pp. 323-336
We present a mathematical analysis of the piriform cortex activity in
rats. Experimental data were obtained by means of optical recording of
fluorescent signals driven by neuronal activity. From these data, we
determined the numerical value of the relaxation time:for the pyramida
l cell activity in layers II and III aad the time latency map for bulb
activation. Our model for the piriform cortex is based on pairs of ex
citatory and inhibitory neurons which correspond to pyramidal cells of
layers II and III and to their inhibitory associated interneurons res
pectively; pyramidal cells are also interconnected through short and l
ong range association fiber systems. Under such conditions, the;model
outputs resemble closely the experimental observations: (1) a double-b
umped response to a strong and short stimulation; (2) oscillatory beha
vior under weak sustained stimulation conditions; (3) propagation of t
raveling activity waves; and (4) pacemaker activity when clusters of n
eurons are preferentially coupled.