Growth rates of yeast colonies on solid media

Previous measurements of growth rates of giant yeast colonies on solid media are shown to be unreliable as they depend strongly on extraneous factors such as the proximity of other colonies and the dimensions of the apparatus used. The hitherto unexplained dependence of the growth rate on the square root of the growth limiting nutrient concentration is explained by constructing a theory based on the diffusion of nutrient towards the colony which makes use of many ideas used in the theory of flame propagation. The theory also explains why the temperature dependence of the homogeneous growth constant is different from that observed in the surface colony, and it requires the existence of a lag phase in the homogeneous culture kinetics if the velocity of propagation of the culture is to be independent of inoculum size and shape. Both phenomena are known to occur.