5.8-edenSimpleInverse.nlogo

;; The MIT License (MIT)
;;
;; Copyright (c) 2011-24 David O'Sullivan and George Perry
;;
;; Permission is hereby granted, free of charge, to any person
;; obtaining a copy of this software and associated documentation
;; files (the "Software"), to deal in the Software without restriction,
;; including without limitation the rights to use, copy, modify, merge,
;; publish, distribute, sublicense, and/or sell copies of the Software,
;; and to  permit persons to whom the Software is furnished to do so,
;; subject to the following conditions:
;;
;; The above copyright notice and this permission notice shall be included
;; in all copies or substantial portions of the Software.
;;
;; THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
;; OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
;; FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
;; THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
;; LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
;; FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
;; DEALINGS IN THE SOFTWARE.
;;

extensions [ palette ]

globals [
  perimeter
]

patches-own [
  t-colonised
  attempts
]

to setup
  clear-all

  ask patches [
    set t-colonised -1
    set pcolor red
  ]
  ask patches with [distancexy (min-pxcor + world-width / 2) (min-pycor + world-height / 2) >= wound-size] [
    set t-colonised 0
    set pcolor black
  ]
  set perimeter patches with [t-colonised = -1 and any? neighbors4 with [t-colonised > -1]]

  reset-ticks
end

to go
  if not any? perimeter [
    colour-by-time
    stop
  ]

  ask get-next-occupied [
  ;; if m = 0 then this is the classical Eden process as per Eden 1961,
  ;; otherwise it's the noise-reduced form
    set attempts attempts + 1

    if attempts >= m [
      set pcolor black
      set t-colonised ticks + 1
      update-perimeter
    ]
  ]
  tick
end


to-report get-next-occupied
  report one-of perimeter
end


to update-perimeter
  ;; rebuilds the perimeter with new candidates added
  ;; and the newly colonised patch removed
  set perimeter (patch-set perimeter neighbors4) with [t-colonised = -1]
end


;; colour patches by the time they were colonised (dark [old] to light [young])
to colour-by-time
  ask patches [
    set pcolor palette:scale-gradient [[244 109 67] [255 255 191] [116 173 209]] t-colonised 0 ticks
  ]
end
@#$#@#$#@
GRAPHICS-WINDOW
203
12
611
421
-1
-1
2.0
1
10
1
1
1
0
0
0
1
0
199
0
199
0
0
1
ticks
100.0

BUTTON
113
18
190
51
setup
setup
NIL
1
T
OBSERVER
NIL
NIL
NIL
NIL
1

PLOT
623
16
856
253
Perimeter length
Time
Length
0.0
10.0
0.0
10.0
true
false
"" ""
PENS
"default" 1.0 0 -16777216 true "" "plotxy ticks count perimeter"

SLIDER
19
275
191
308
m
m
0
10
0.0
1
1
NIL
HORIZONTAL

TEXTBOX
21
313
196
361
If m = 0 then there is no 'noise-reduction' and the model is as per Eden (1961)
12
0.0
1

SLIDER
16
379
188
412
wound-size
wound-size
5
world-width / 2
100.0
5
1
NIL
HORIZONTAL

BUTTON
112
100
189
133
go 1000
repeat 1000 [go]
NIL
1
T
OBSERVER
NIL
NIL
NIL
NIL
1

BUTTON
112
139
188
172
NIL
go
T
1
T
OBSERVER
NIL
NIL
NIL
NIL
1

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## WHAT IS IT?

This model simulates the an inverse Eden growth process.  See:

+   Savakis AE and Maggelakis SA 1997 Models of shrinking clusters with applications to epidermal wound healing. _Mathematical and Computer Modelling_ **25** 1–6.

and the discussion in Chapter 5 of

+   O'Sullivan D and Perry GLW 2013 _Spatial Simulation: Exploring Pattern and Process_. Wiley, Chichester, England.

## HOW TO CITE

If you mention this model in a publication, please include these citations for the model itself and for NetLogo

+   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.
+   O'Sullivan D and Perry GLW 2013 _Spatial Simulation: Exploring Pattern and Process_. Wiley, Chichester, England.
+   Savakis AE and Maggelakis SA 1997 Models of shrinking clusters with applications to epidermal wound healing. _Mathematical and Computer Modelling_ **25** 1–6.
+   Wilensky U 1999 NetLogo. http://ccl.northwestern.edu/netlogo/. Center for Connected Learning and Computer-Based Modeling, Northwestern University, Evanston, IL.

## COPYRIGHT AND LICENSE

The MIT License (MIT)

Copyright © 2011-24 David O'Sullivan and George Perry

Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to  permit persons to whom the Software is furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
@#$#@#$#@
default
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airplane
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arrow
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box
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Polygon -7500403 true true 15 75 15 225 150 285 150 135
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bug
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butterfly
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car
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circle
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circle 2
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cow
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cylinder
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fish
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flag
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flower
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house
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leaf
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line
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line half
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pentagon
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person
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Rectangle -7500403 true true 127 79 172 94
Polygon -7500403 true true 195 90 240 150 225 180 165 105
Polygon -7500403 true true 105 90 60 150 75 180 135 105

plant
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Polygon -7500403 true true 135 255 90 210 45 195 75 255 135 285
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Polygon -7500403 true true 135 105 90 60 45 45 75 105 135 135
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sheep
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Rectangle -7500403 true true 15 75 210 225
Circle -7500403 true true 135 75 150
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square
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square 2
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star
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target
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Circle -16777216 true false 90 90 120
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tree
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Rectangle -6459832 true false 120 195 180 300
Circle -7500403 true true 65 21 108
Circle -7500403 true true 116 41 127
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triangle
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triangle 2
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truck
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Circle -16777216 true false 234 174 42
Rectangle -7500403 true true 181 185 214 194
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turtle
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wheel
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Circle -7500403 true true 120 120 60
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Line -7500403 true 40 84 269 221
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x
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NetLogo 6.4.0
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default
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link direction
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0
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