<s>
The	O
Hindmarsh	B-Algorithm
–	I-Algorithm
Rose	I-Algorithm
model	I-Algorithm
of	O
neuronal	O
activity	O
is	O
aimed	O
to	O
study	O
the	O
spiking-bursting	O
behavior	O
of	O
the	O
membrane	O
potential	O
observed	O
in	O
experiments	O
made	O
with	O
a	O
single	O
neuron	O
.	O
</s>
<s>
The	O
transport	O
of	O
sodium	O
and	O
potassium	O
ions	O
is	O
made	O
through	O
fast	O
ion	O
channels	O
and	O
its	O
rate	O
is	O
measured	O
by	O
y(t )	O
,	O
which	O
is	O
called	O
the	O
spiking	B-Algorithm
variable	O
.	O
</s>
<s>
z(t )	O
corresponds	O
to	O
an	O
adaptation	O
current	O
,	O
which	O
is	O
incremented	O
at	O
every	O
spike	B-Algorithm
,	O
leading	O
to	O
a	O
decrease	O
in	O
the	O
firing	O
rate	O
.	O
</s>
<s>
Then	O
,	O
the	O
Hindmarsh	B-Algorithm
–	I-Algorithm
Rose	I-Algorithm
model	I-Algorithm
has	O
the	O
mathematical	O
form	O
of	O
a	O
system	O
of	O
three	O
nonlinear	O
ordinary	O
differential	O
equations	O
on	O
the	O
dimensionless	O
dynamical	O
variables	O
x(t )	O
,	O
y(t )	O
,	O
and	O
z(t )	O
.	O
</s>
<s>
This	O
makes	O
the	O
Hindmarsh	B-Algorithm
–	I-Algorithm
Rose	I-Algorithm
model	I-Algorithm
relatively	O
simple	O
and	O
provides	O
a	O
good	O
qualitative	O
description	O
of	O
the	O
many	O
different	O
patterns	O
that	O
are	O
observed	O
empirically	O
.	O
</s>
