Selected article for: "correlation ODE model and ODE model"

Author: Robert J. H. Ross; R. E. Baker; C. A. Yates
Title: How domain growth is implemented determines the long term behaviour of a cell population through its effect on spatial correlations
  • Document date: 2016_2_26
  • ID: lfm6erzy_100
    Snippet: It is important to acknowledge that we have only looked at scenarios where P p = P m . This case represents a very high rate of cell proliferation relative to motility in a biological context. However, we chose these parameters to highlight the accuracy of our approximate correlation ODE model. In situations where P p < P m the correlation ODE model approximates the IBM results even better, as has been shown previously [25, 39] . We have also onl.....
    Document: It is important to acknowledge that we have only looked at scenarios where P p = P m . This case represents a very high rate of cell proliferation relative to motility in a biological context. However, we chose these parameters to highlight the accuracy of our approximate correlation ODE model. In situations where P p < P m the correlation ODE model approximates the IBM results even better, as has been shown previously [25, 39] . We have also only looked at the case when P gx = P gy in order to reduce the computational complexity of solving the model equations, however, the results presented here can be trivially extended to cases where P gx = P gy . 24 author/funder. All rights reserved. No reuse allowed without permission.

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