High Dielectric Constant Substrates For Micron Sized Microstrip Patch Antennas

Hi all,

I realized that the microstrip patch antenna size can be reduced for the same frequency if we use a very high dielectric substrate such as ceramic and etc. I would like ask that is this concept applicable to very small microstrip patch antennas, possibly micron or nano level sized antennas ?
If I used a very high dielectric material as substrate for the radiating patch, is it possible for me to reduce the size of the antenna to micron level while maintaining the frequency ? I would like to use the antenna is for biomedical applications.

Any help would be greatly appreciated

Thank You..

These would be helpful .. have a look:

http://www.ee.ucla.edu/~mwlab/public...hil-ap-s99.pdf
http://www.eecs.umich.edu/RADLAB/bio..._APversion.pdf