Temporal Fractal Dimension of the Ontogenic Growth

The West-Brown-Enquist curve describing ontogenic growth is mapped on the power law fractal function with the time-dependent scaling factor and exponent representing the temporal fractal dimension. The model has been applied to obtain the fractal characteristics of growth of 13 species and 13 tumours. The results obtained reveal that the maximum value of the fractal dimension for the system considered increases with the limiting number of the cells and is attained at 50% of cells doublings both in the case of species and tumours.