MIHS - Cell Culture Model

MIHS - Cell Culture Model preview image

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Larry_bencivengo Larry Bencivengo (Author)

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;; cell model

globals [#-cells #-O2 O2-target-level #-nutrients #-CO2 #-CO2-generated interval]
patches-own [cell? aerobic? energy O2-absorbed nutrients-absorbed]
breed [xO2 O2]
breed [xCO2 CO2]
breed [nutrients nutrient]

to setup
  clear-all
  ask patches [set pcolor white] ;; create a white background
  setup-cells                    ;; randomly identify starting-number-cells patches as cells

  ;; set up molecule shapes, starting numbers, etc.
  set #-CO2 0
  set #-CO2-generated 0
  set-default-shape xCO2 "molecule carbon dioxide"
  ;; generate starting O2
  set-default-shape xO2 "molecule oxygen"
  set O2-target-level 100 * (O2-concentration / 21)
  setup-O2
  ;; generate starting nutrients
  set-default-shape nutrients "hex"
  setup-nutrients
  reset-ticks
end 

to setup-cells
  ;; generate cells by selecting random patches and setting cell? to true
  ;; if using anaerobic cells, randomly determine whether aerobic? is true or false
  ;; repeat until the correct number of cells has been generated
  set #-cells 0
  while [#-cells < starting-number-cells] [
    ;; select a random patch - if it is not already a cell, make it a cell
      ask patch random-pxcor random-pycor [if cell? = 0 [
      become-cell
      set #-cells #-cells + 1
      ]
    ]
  ]
end 

to become-cell
  ;; check for aerobic? - needs to be added
  set cell? 1
  set aerobic? 1            ;; change when anaerobes added
  set energy 100
  set pcolor gray
end 

to setup-O2
  set #-O2 O2-target-level
  create-xO2 #-O2 [
    set color blue
    setxy random-xcor random-ycor
  ]
end 

to setup-nutrients
  set #-nutrients 1000 * (starting-nutrient-level / 100)
  create-nutrients #-nutrients [
    set color green
    set size 0.5
    setxy random-xcor random-ycor
  ]
end 


;; to go
;; molecules move randomly with a speed that depends on temperature
;; O2 and nutrient molecules are "absorbed" by cells as they pass through patches
;; metabolism of clls converts 1 O2 and 1 nutrient into x energy and 1 CO2 (waste)
;; the number of such transformations [per tick?] depends on O2/nutrients collected
;; and temperature
;; for energy conversion, "x" = 6 for aerobic cells; x = 2 for anaerobic (but no O2 needed)
;; when cells accumulate enough energy, they reproduce by turning random adjacent patch
;; into a cell
;; cells consume 1 energy [each tick?] to survive; if energy <= 0, cell dies
;; at a frequency determined by culture-change-frequency, CO2 are removed and nutrients added
;; O2 molecules are constantly added whenever to maintain the O2-concentration

to go
  if #-cells <= 0 [stop]
  ask turtles [move]
  set #-CO2-generated 0
  ask patches [metabolize]
  add-CO2
  ask patches [reproduce]
  add-O2                                 ;; replenish O2
  replace-culture-medium                 ;; periodically replace culture medium
  tick
end 

to move
  right random 30
  left random 30
  forward 1
end 

to metabolize  ;; absorb nutrients, generate energy and create wastes
  ;; only cells metabolize
  if cell? = 1 [
    ;; consume energy and check for cell death
    set energy energy - 1
    if energy <= 0 [cell-death]
    absorb-O2                             ;; absorb O2 and nutrients
    absorb-nutrients
    ;; consume 1 O2 and 1 nutrient to create energy and waste
    if nutrients-absorbed > 0 [
      set nutrients-absorbed nutrients-absorbed - 1
      ifelse aerobic? = 1 and O2-absorbed > 0 [
        set O2-absorbed O2-absorbed - 1
        set energy energy + 60
        set #-CO2-generated #-CO2-generated + 1
      ]
      [set energy energy + 20]
    ]
  ]
end 

to cell-death
  set cell? 0
  ;; set aerobic? = 0
  set pcolor white
  set energy 0
  set O2-absorbed 0
  set nutrients-absorbed 0
  set #-cells #-cells - 1
  set #-CO2-generated #-CO2-generated + 1
end 

to absorb-O2  ; cell procedure
  let available-O2 one-of xO2-here              ; grab a random O2 molecule
  if available-O2 != nobody  [
    ask available-O2 [die]
    set #-O2 #-O2 - 1
    set O2-absorbed O2-absorbed + 1
  ]
end 

to absorb-nutrients  ; cell procedure
  let available-nutrients one-of nutrients-here      ; grab a random nutrient molecule
  if available-nutrients != nobody  [
    ask available-nutrients [die]
    set #-nutrients #-nutrients - 1
    set nutrients-absorbed nutrients-absorbed + 1
  ]
end 

to add-CO2
  if #-CO2-generated > 0 [
    create-xCO2 #-CO2-generated [
      setxy random-xcor random-ycor
      set color red
      set size 1
     ]
   ]
   set #-CO2 #-CO2 + #-CO2-generated
   set #-CO2-generated 0
end 

to add-O2
  if #-O2 < O2-target-level * 0.9 [
  let new-O2 (O2-target-level - #-O2)
  create-xO2 new-O2 [
    set color blue
    setxy random-xcor random-ycor
    ]
  set #-O2 #-O2 + new-O2
  ]
end 

to reproduce
  ;; only cells reproduce
  if cell? = 1 and energy >= 200 [     ;; if enough energy generated, divide in two
    ;; check for empty adjacent patch
    if any? neighbors with [cell? = 0] [
      ;; use up energy for cell division
      set energy energy - 80
      ;; create a new cell in an adjacent patch
      set energy (energy / 2)
      ask one-of neighbors with [cell? = 0] [become-cell]
      set #-cells #-cells + 1
    ]
  ]
end 

to replace-culture-medium
  ;; check to see if it is time to replace the culture medium
  if medium-change-frequency > 0 and
  ticks > 10 and ticks mod (2500 / (medium-change-frequency * 10)) <= 1 and
  (ticks - interval) > 10 [            ;; prevent "double" changes
    ask patches [set pcolor black]      ;; set patches to gray during culture medium change
    ask xO2 [die]
    set #-O2 0
    add-O2
    ask xCO2 [die]
    set #-CO2 0
    ask nutrients [die]
    setup-nutrients
    ask patches [                      ;; reset patch pcolors to normal
      ifelse cell? = 1 [
        set pcolor gray]
      [set pcolor white]
    ]
    set interval ticks
  ]
end 

There is only one version of this model, created about 3 years ago by Larry Bencivengo.

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