Since 1996 I have been guided by Professor John Hertz of NORDITA in modeling neural networks. I have collaborated with Thomas Z. Lauritzen, Andrea Fazzini and Sergio Solinas in Professor's laboratory during my several stays at NORDITA. The problem that we have investigated is the emergence of spontaneous asynchronous chaotic activity in neural networks comprising populations of excitatory and inhibitory neurons. And we have tried to model this activity via the computer simulations of networks consisting of "simple neurons" (with the key parameters chosen to be biologically plausible). Specifically, I have developed an ifnet C++ code for simulating the network of "integrate & fire" leaky neurons. Some of our results have been presented in the Society for Neuroscience (1999) meeting poster SN1999.ps.
In 2000, professor Romualdas Karazija sugggested to write a paper on
the application of the particle-hole pair approach to explain some pecularities
of spectra of free atoms and ions (original idea by J.Kaniauskas, again).
The key idea is that the creation or annihilation of the "electric dipole"-coupled
vacancy-electron pairs provide the main contribution to many observed emission,
photoexcitation and Auger spectra. In other words, the eigenfunctions of
the excited atoms are almost the eigenfunctions of the number of such vacancy-electron
pairs, too. We succeeded in relating the experimentally known concentration
of the strongest transitions on the high-energy side of some emission,
photoexcitation and Auger spectra of atoms to the existence of a formal
additional selection rule for the number of these vacancy-electron pairs.
The paper "Additional selection rule for some emission, photoexcitation
and Auger spectra" has appeared in J. Phys. B: At. Mol. Opt. Phys., 2001,
V. 34, No. 23, L741-L747, and is available at http://xxx.lanl.gov/abs/physics/0109006.