Category Archives: Eden growth

5.21 Stark model of gullying

This model is an approximate implementation of the model described in

Stark CP 1994 Cluster growth modeling of plateau erosion. Journal of Geophysical Research, 99, 13957-13969.

which combines invasion percolation, diffusion-limited aggregation and Eden growth to simulated gullying erosion at a plateau edge.

Click on the image to download and save the model NetLogo file. You will need to install NetLogo including the gradient extension to run this file.

5.15 Eden spread from a linear front with long-distance dispersal (LDD)

This model shows how Eden spread along a front is dramatically altered by the occurrence of even relatively rare long-distance jumps. The behaviour of this model should be compared with that of the same model without such jumps.

An alternative version of the model is available, which makes use of the netlogo R extension.

Click on the image to download and save the model NetLogo file. You will need to install NetLogo including the gradient extension to run this file.

5.14 Benguigui’s Eden process based model of urban growth

This model simulates a version of Benguigui’s highly abstract model of urban growth, as discussed in

Benguigui L 1995 A new aggregation model. Application to town growth. Physica A: Statistical Mechanics and its Applications, 219, 13–26.
Benguigui L 1998 Aggregation models for town growth. Philosophical Magazine Part B, 77, 1269–1275.

Click on the image to download and save the model NetLogo file. You will need to install NetLogo including the gradient extension to run this file.

5.12 Eden growth along a linear invasion front

This model draws on ideas discussed in

Edwards SF and Wilkinson DR 1982 The surface statistics of a granular aggregate. Proceedings of the Royal Society of London. Series A, 381(1780), 17-31.

and allows you to explore the rate of progress made by an Eden invasion process advancing along a linear ‘front’.

Click on the image to download and save the model NetLogo file. You will need to install NetLogo including the gradient extension to run this file.

5.11 the Williams-Bjerknes Eden growth process model for spread of ‘abnormal’ cells

This model is an implementation of the process described in

Williams T and Bjerknes R 1972 Stochastic model for abnormal clone spread through epithelial basal layer. Nature, 236, 19–21.

Click on the image to download and save the model NetLogo file. You will need to install NetLogo including the gradient extension to run this file.

5.10 Eden ‘tip’ model

This model is an implementation of the Eden ‘tip’ growth process described in

Sawada Y, Ohta S, Yamazaki M and Honjo H 1982 Self-similarity and a phase-transition-like behavior of a random growing structure governed by a nonequilibrium parameter. Physics Review A, 26, 3557-3563.

Click on the image to download and save the model NetLogo file. You will need to install NetLogo including the gradient extension to run this file.

5.8 inverted Eden process

This model is an implementation of the simple inverse Eden process presented in

Savakis AE and Maggelakis SA 1997 Models of shrinking clusters with applications to epidermal wound healing. Mathematical and Computer Modelling, 25, 1–6.

Click on the image to download and save the model NetLogo file. You will need to install NetLogo including the gradient extension to run this file.

5.7 simple Eden growth model

This model is an implementation of the basic Eden growth process as originally presented in

Eden M 1961 A two-dimensional growth process, 4th Berkeley Symposium on Mathematical Statistics and Probability, pp. 223–239, University of California Press, Berkeley, CA.

Click on the image to download and save the model NetLogo file. You will need to install NetLogo including the gradient extension to run this file.