New growth model: The screened Eden model

A new and tractable model for the growth of tumors is proposed and studied numerically. We find that the resulting clusters exhibit complicated, nontrivial scaling behaviors, and the Hausdorff dimensions of the growing clusters can be tuned by changing the screening parameters of the model. Our simulation results show that this model can be used to produce both Eden-like clusters and diffusion-limited aggregation-like clusters by choosing the proper values of the control parameters, and may be regarded as a prototype reference to study the relations of the morphology of the aggregate with the growth mechanisms.