Category Archives: percolation

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.

5.5 invasion percolation

This model demonstrates invasion percolation in a landscape with randomly assigned resistance values.

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.

5.4 the percolation backbone

This model demonstrates the identification of the backbone of a spanning cluster in site percolation. See

Herrmann HJ, Hong DC and Stanley HE 1984 Backbone and elastic backbone of percolation clusters obtained by the new method of ‘burning’. Journal of Physics A: Mathematical and General, 17, L261–L266.

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