A three-dimensional model of fungal morphogenesis based on the vesicle supply center concept

We developed a three-dimensional model of hyphal morphogenesis under the same basic assumption used for the construction of a two-dimensional model. Namely, that the polarized growth of tubular cells (hyphoids) arises from a gradient of wall-building vesicles generated by a vesicle supply center (VSC). Contrary to the 2-D mathematical formulation, the three-dimensional derivation led to an indetermination whose solution required defining a priori the pattern of expansion of the wall, i.e. defining the overall spatial movement of the wall as the newly inserted wall elements displace the existing wall fabric. The patterns of wall expansion can be described by tracing the movement of marker points on the cell surface (point trajectories). Point trajectories were computed for three different modes of wall expansion of the VSC-generated hyphoids: orthogonal, isometric, and rotational. The 3-D VSC models allowed us to either stipulate or calculate the degree of anisotropy for each type of wall expansion. Wireframe models were built to visualize growth anisotropy in each model. Although the overall shape of the three hyphoid models is similar, they differ substantially in point trajectories and anisotropy. Point trajectories are experimentally testable and were the basis for the conclusion that hyphae grow in orthogonal fashion. (Bartnicki-Garcia et al., 2000. Biophys. J.79, 2382-2390.)