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_40
Snippet: The terms on the RHS represent: i) no growth event occurs in [t, t + δt); ii) a growth event occurs in the horizontal direction between agents (r x − 1, 0) apart, moving them (r x , 0) apart on a domain of size N x × N y at [t + δt); iii) a growth event occurs in the horizontal direction at a site that is not in between agents (r x , 0) apart, meaning that they remain (r x , 0) apart but now on a domain of size N x × N y at time [t + δt); .....
Document: The terms on the RHS represent: i) no growth event occurs in [t, t + δt); ii) a growth event occurs in the horizontal direction between agents (r x − 1, 0) apart, moving them (r x , 0) apart on a domain of size N x × N y at [t + δt); iii) a growth event occurs in the horizontal direction at a site that is not in between agents (r x , 0) apart, meaning that they remain (r x , 0) apart but now on a domain of size N x × N y at time [t + δt); and iv) a growth event occurs in the vertical direction (as the sites are horizontally colinear in this a GM1 growth event cannot change the distance between them).
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