arXiv subjects
Publications and source records attributed to Aurel Stan.
In this work, we develop model for neuronal degeneration based on polymer chain folding dynamics and their connectivity in various scale. In the first phase, we just developed the model and numerical simulation need to be complete in order to complete the mathematical development of the disease progression.
We study the heat equation with a random potential term. The potential is a one-sided stable noise, with positive jumps, which does not depend on time. To avoid singularities, we define the equation in terms of a construction similar to the Skorokhod integral or Wick product. We give a criterion for existence based on the dimension of the space variable, and the parameter p of the stable noise. Our arguments are different for p<1 and p>1.