A Mathematical Model of 99mTc-ECD Diffusion in Brain for Epileptic Patients

This research develops diffusion equation to describe behavior of the
^99m
Tc-ECD diffusion in epileptic patient's brain SPECT image over time. The equation was approximated the numerical solution at steady state by central difference approximation. Then they were compared with the real data around interested point that may be epileptogenic by relative error. In the result, the rate constant of
^99m
Tc-ECD diffusion in brain area D1 = 1. 10657 unit
²
/min and the rate constant of
^99m
Tc-ECD diffusion in ventricle area D2=1 unit
²
/min that has relative error around 26.81%. The numerical solution show the
^99m
Tc-ECD diffusion in brain SPECT image is homogeneous diffusion.