Merkulov, I. A., A. V. Melechko, J. C. Wells, H. Cui, V. I. Merkulov, M.
L. Simpson, and D. H. Lowndes.
Phys. Rev. B, vol. 72, 2005, 045409.
A simple mathematical model of the carbon nanofiber catalytic growth process is presented. Two major types of the fiber-catalyst interface shapes have been identified and described having qualitatively different structure in the center of a nanofiber. Presently, we discuss that the appearance of the irregular structure in the nanofiber central area is a result of curved-interface-growth kinematics. We suggest the method to determine the phenomenological parameters of the developed model from experimental data.