Description
Return a saturating chemostat growth term and dilution gap.
Biological growth and substitution models encode specific assumptions about rates, interactions and state spaces. Evaluating their formula at one supplied state can illustrate the model without fitting parameters, integrating a trajectory or establishing that its assumptions hold for real observations.
Return a saturating chemostat growth term and dilution gap.
When to use this tool
Use Chemostat Washout Growth Gap when evaluating the stated biological rate or substitution-model term under its declared assumptions.
How to use the tool and how it works
- Enter maxGrowth, substrate, halfSaturation, dilution. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read specificGrowth, netGrowth. Use the output convention below.
Return a saturating chemostat growth term and dilution gap. Require maxGrowth/substrate/dilution >= 0 and halfSaturation > 0; specificGrowth = maxGrowth*substrate/(halfSaturation+substrate), netGrowth = growth-dilution.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| maxGrowth | Max Growth | Required. Finite number; minimum 0. |
| substrate | Substrate | Required. Finite number; minimum 0. |
| halfSaturation | Half Saturation | Required. Finite number; strictly above 0. |
| dilution | Dilution | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| specificGrowth | Specific Growth | Required. Finite number. |
| netGrowth | Net Growth | Required. Finite number. |
{
"input": {
"maxGrowth": 1,
"substrate": 3,
"halfSaturation": 1,
"dilution": 0.5
},
"output": {
"specificGrowth": 0.75,
"netGrowth": 0.25
}
}Limitations and assumptions
- Growth and dilution are inverse matching time units; no steady state, washout trajectory or culture behavior is established.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Fit and validate an appropriate complete model against relevant data, with parameter, time-unit and numerical-error checks for biological inference.
References
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