Epilepsy is a chronic disorder of the brain that affects people of
all ages. Approximately 50 million people worldwide have epilepsy,
making it one of the most common neurological diseases globally.
People with epilepsy respond to treatment approximately 70% of
the time. About three fourths of people with epilepsy living in lowand
middle- income countries do not get the treatment they need.
Therefore, using different approaches to study epilepsy is useful
2.2. Telegraph Equation in Epilepsy
Telegraph equation [2,3] is a generalization of diffusion
equation where the standard diffusion equation depends on the
continuity equation and Fick’s law
j is the diffusing object (e. g. technology, concept, etc...),
c is the distribution function of this object and
D is the diffusion constant.
The resulting standard diffusion equation is
where is the second order differentiation w. r. t. position x.
A basic weakness of this equation is that the flux j reacts
simultaneously to the gradient of c and consequently an unbounded
propagation speed is assumed. To solve this problem Fick’s law is
where T is a time constant which measures the memory or
delay effect. Thus, one gets the telegraph equation:
Applying this equation to the case
and making the identifications
one regains equations 1-4 in  where t0 is small and we made
These equations are used to explain dynamical properties of