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R. P. Ignatius
Fig. 1 Plot for average firing rate of the pulse-coupled network with chaotic neurons as a function
of G syn . When more neurons are made chaotic, alpha waves for which the average firing rate falls
between 8 and 12 Hz dominates the network
Variation of average firing rate of the network with synaptic conductivity and the
number of chaotic neurons is shown in Fig. 1. In the absence of chaotic neurons,
for most of the studied values of synaptic strength, average firing rate is between 12
and 15 Hz, that is, the beta waves (12–30 Hz) dominate in the network. In humans,
beta waves are associated with conscious state of mind, logical thinking, memory
activation and alertness.
As neurons are randomly made chaotic, a shift toward alpha waves (8–12 Hz) is
obviously visible in network activity. In humans, alpha waves correspond to resting
state of brain, hence the effect of chaotic neurons is to change the brain state from
alert to a meditative state. This is because of the change in behaviour of neurons from
a spiking or chattering mode to a complete chattering mode and further to the inactive
state as they advance in time (Fig. 2). Figure 1 indicates that network dynamics is
independent of change in value of synaptic conductance when most of the neurons
are chaotic. However, if the number of chaotic neurons in the network is small, when
coupling or synaptic conductance strength is high, the beta waves seem to dominate
(Fig. 1). Figure 2 displays the spatiotemporal activities of neurons for G syn = 10 and
cn = 131 at different values of the chaotic neuron number cn.
With the conversion of additional neurons into chaotic ones, the total spikes in
the network decrease and finally the entire activity of the network stops. From Fig.
2, it is clear that all the neurons burst continuously for certain time just before
terminating firings. In humans near the death, such a surge of neuron activity is
detected before neurons end its firing [17]. This episodic firing in neuron is due
to periodic propagation of calcium wave in astrocyte and persistent firing is due
to homogenous calcium wave. As the parameters of the neurons are made chaotic,
suppression of activities is observed (Fig. 2), or in other words, chaotic neurons are
driven to firing death.
R. P. Ignatius
Fig. 1 Plot for average firing rate of the pulse-coupled network with chaotic neurons as a function
of G syn . When more neurons are made chaotic, alpha waves for which the average firing rate falls
between 8 and 12 Hz dominates the network
Variation of average firing rate of the network with synaptic conductivity and the
number of chaotic neurons is shown in Fig. 1. In the absence of chaotic neurons,
for most of the studied values of synaptic strength, average firing rate is between 12
and 15 Hz, that is, the beta waves (12–30 Hz) dominate in the network. In humans,
beta waves are associated with conscious state of mind, logical thinking, memory
activation and alertness.
As neurons are randomly made chaotic, a shift toward alpha waves (8–12 Hz) is
obviously visible in network activity. In humans, alpha waves correspond to resting
state of brain, hence the effect of chaotic neurons is to change the brain state from
alert to a meditative state. This is because of the change in behaviour of neurons from
a spiking or chattering mode to a complete chattering mode and further to the inactive
state as they advance in time (Fig. 2). Figure 1 indicates that network dynamics is
independent of change in value of synaptic conductance when most of the neurons
are chaotic. However, if the number of chaotic neurons in the network is small, when
coupling or synaptic conductance strength is high, the beta waves seem to dominate
(Fig. 1). Figure 2 displays the spatiotemporal activities of neurons for G syn = 10 and
cn = 131 at different values of the chaotic neuron number cn.
With the conversion of additional neurons into chaotic ones, the total spikes in
the network decrease and finally the entire activity of the network stops. From Fig.
2, it is clear that all the neurons burst continuously for certain time just before
terminating firings. In humans near the death, such a surge of neuron activity is
detected before neurons end its firing [17]. This episodic firing in neuron is due
to periodic propagation of calcium wave in astrocyte and persistent firing is due
to homogenous calcium wave. As the parameters of the neurons are made chaotic,
suppression of activities is observed (Fig. 2), or in other words, chaotic neurons are
driven to firing death.