Annual Report 2002


In 2002, the cooperation with the International Solvay Institute for Physics and Chemistry (Brussels, Belgium) was in progress in the field of applied research that includes:

  • Investigations on the economphysics problems were performed. A new approach to the effective resources distribution has been developed, and a modification of a Cox-Ross-Rubenstein discrete model has been suggested which takes into account changing options prices depending upon percent rates [28].
  • On the basis of elastic neural nets, new algorithms of solving the traveling salesman problem for a set of cities with known optimal tours [29] were developed.
  • A simple and effective method has been suggested to find an initial approximation of an earthquake epicentrum based on the elastic neural net application [30].
  • Generalization of the optical coherence tomography (OCT) images filtration algorithm has been obtained. It was developed to filter the OT group images measured on the same skin area [31].

In cooperation with the scientists from the Technical University of Kosice (the Slovak Republic) and the Laboratory of Computational and Statistical Physics of Academia Sinica (Taiwan), research on the mathematical modelling of proteins folding was continued [32]:

  • An effective analytical algorithm has been developed for calculating the solvent excluded volume and the solvent accessible surface area of a protein molecule.
  • Effective multigrid algorithms for the numerical solving of a boundary-value problem for the nonlinear Boltzmann-Poisson equation, which describes the electrostatic potential of the protein molecule in the solvent.

A FORTRAN code implementing the mentioned algorithms has been created and tested on the Linux clusters. The parallel version of the code was also created using the MPI package.

© Laboratory of Information Technologies, JINR, Dubna, 2003