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Table 2 Parameter names, values, units and sources.

From: Essential operating principles for tumor spheroid growth

Parameter

In silico value

In vitro value

Source

Proliferating NUTRIENT critical level (proNut)

3.0 × 10-3

3.0 × 10-19 mol/μm3

Tuned parameter

Quiescent NUTRIENT critical level (quiNut)

8.0 × 10-4

8.0 × 10-20 mol/μm3

Tuned parameter

Proliferating CELL'S NUTRIENT uptake (proConsumeRate)

5.0 × 10-4/SEC

5.0 × 10-17 mol/(cell s)

[17]

Quiescent CELL'S NUTRIENT uptake (quiConsumeRate)

1.0 × 10-4/SEC

1.0 × 10-17 mol/(cell s)

Tuned parameter

Delay before dead CELL is removed (removeDelay)

3.6 × 104 SEC

1.8 × 104 s

[35]

Movement bias (moveEmptyBias)

1.0

--

Tuned parameter

Delay between CELL creation events (prolifDelay)

800 SEC

800 s

Tuned parameter

Proliferation bias (proBias)

2.25

--

Tuned parameter

NUTRIENT diffusivity (diffusionRate)

0.28*

105 μm2/s

[17]

Initial NUTRIENT concentration (initialVal)

0.165 or 0.008

16.5 mM or 0.8 mM

[27]

Time step

1.0 SEC

1.0 s

Calculated

CELL diameter

1 grid space

10 μm

[26]

Average cell cycle**

~4.24 × 104 SEC

~4.24 × 104 s

Calculated

Average time of removal after cell death**

1.8 × 104 SEC

1.8 × 104 s

Calculated

  1. Sourced parameters were obtained from literature. Tuned parameters were adjusted to allow the analogue to reproduce in vitro data. Calculated parameters depended on sourced or tuned parameters. All parameters were fixed, except initialVal, which was set to high (equivalent to 0.28 mM oxygen and 16.5 mM glucose) or low (equivalent to 0.07 mM oxygen and 0.8 mM glucose) in different simulations.
  2. * The value of diffusionRate is related to the simulation cycle and CELL diameter, as described within the text.
  3. ** The mean value observed during simulation.