A numerical model of time-resolved laser-induced incandescence (TIRE-LII) for different kinds of large carbonaceous particle is developed in this paper. Theoretical temporal LII signals were computed for the following classes of particles: soot, the well known hollow particles called cenospheres (tens of microns) and full carbonaceous particles called by analogy pleospheres (a few microns), pleo- from the Greek pleos (solid). The large carbonaceous particles have a characteristic time for internal gradient dissipation much longer than soot, thus a temperature profile establishes inside them. On the basis of these observations, a spatial time-dependent model for cenospheres and pleospheres was considered, i.e. a system of partial differential equations based on mass and energy balances.