cadherins homo/heterotypic binding

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Default-person William Driscoll (Author)

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Click to Run Model

globals [x0 y0 z0 heterotypic]
patches-own [binding_0 binding_1 aff_0 aff_1 open? ideal_type]
turtles-own [cell_type my_affinity]

to Setup
  clear-all
  crt 2 [set cell_type 0 set shape "circle"]
  ask one-of turtles [fd 1 set cell_type 1]
  update-cells?
  ask patches [update-patches]
  set x0 0  set y0 0  set z0 0
  reset-ticks
end 

to Go
  set-binding
  mitosis
  noisy-move
  space-out
  adhere
  set-center
  tick
end 

to set-binding
  set heterotypic (homo/hetero + 1) / 2
end 

to mitosis
  if ticks > division_time [
  ask turtles [if count turtles < (2 ^ n_divisions) [hatch 1 [push-out cell-movement]]]
    reset-ticks]
end 

to noisy-move
  ask turtles [if random-float 1 < noise [face one-of neighbors fd random-float 1 cell-movement ]]
end 

to space-out
  ask patches with [count turtles-here > 1.5] [ifelse ideal_type = 0
    [ask turtles-here with [cell_type = 1] [face max-one-of neighbors [aff_1] fd 1 ask patch-here [update-patches] ask neighbors [update-patches]]]
    [ask turtles-here with [cell_type = 0] [face max-one-of neighbors [aff_0] fd 1 ask patch-here [update-patches] ask neighbors [update-patches]]]
  ]
end 

to adhere
  ask turtles [face patch x0 y0 z0 ifelse any? turtles-on patch-ahead 1 [] [fd 1]]
end 

to set-center
  if ticks > (division_time * 5) [
  set x0 mean [xcor] of turtles
  set y0 mean [ycor] of turtles
    set z0 mean [zcor] of turtles]
end 

to push-out
  carefully [face one-of neighbors with [open? = 1] fd 1 ask neighbors [update-patches]] [face min-one-of neighbors [count turtles-here] fd 1 ask neighbors [update-patches]]
  if count turtles-here > 1 [
    carefully [ask min-one-of turtles-here [my_affinity] [face one-of patches left 180 fd 1 cell-movement ask neighbors [update-patches]]] []
  ]
end 

to cell-movement  ;; Turtle context only
  ifelse cell_type = 0

    [set my_affinity [binding_0] of patch-here
      let da (max [aff_0] of neighbors)
      ifelse da > my_affinity [uphill aff_0
      carefully [ask turtles-here [move-to max-one-of neighbors [aff_0]]] [face one-of patches jump 1 ask neighbors [update-patches]]
        ask neighbors [update-patches]]
        [face one-of patches fd random-float 1 ask neighbors [update-patches]]
    ask patch-here [if ideal_type = 0 [set open? 0]]
     ]

    [set my_affinity [binding_1] of patch-here
    let da (max [aff_1] of neighbors)
      ifelse da > my_affinity [uphill aff_1
      carefully [ask turtles-here [move-to max-one-of neighbors [aff_1]]] [face one-of patches jump 1 ask neighbors [update-patches]]
        ask neighbors [update-patches]]
        [face one-of patches fd random-float 1 ask neighbors [update-patches]]
    ask patch-here [if ideal_type = 1 [set open? 0]]
      ]
end 

to update-patches  ;; Patch context only
  set binding_0 ((1 - heterotypic) * (count neighbors with [any? turtles-here with [cell_type = 0]])) + (heterotypic * (count neighbors with [any? turtles-here with [cell_type = 1]]))
  set binding_1 ((1 - heterotypic) * (count neighbors with [any? turtles-here with [cell_type = 1]])) + (heterotypic * (count neighbors with [any? turtles-here with [cell_type = 0]]))
  set open? 1
  ifelse binding_0 > binding_1
      [set ideal_type 0 if any? turtles-here with [cell_type = 0] [set open? 0]]
      [set ideal_type 1 if any? turtles-here with [cell_type = 1] [set open? 0]]
  set aff_0 (binding_0 * open?)
  set aff_1 (binding_1 * open?)
end 

to update-cells?
  ask turtles [ifelse cell_type = 0 [set color red set color lput (opacity * 250) extract-rgb color]
    [set color blue set color lput (opacity * 250) extract-rgb color]]
  ask turtles [set size cell_size]
end 

There is only one version of this model, created almost 2 years ago by William Driscoll.

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