Mixed Autoinducer Threshold

Screen a volume-weighted mixed autoinducer concentration against a supplied activation threshold, assuming no degradation or matrix effects.

Description

Mixing conserves a dissolved signaling quantity under an ideal no-loss assumption.

Mixing conserves a dissolved signaling quantity under an ideal no-loss assumption. Added signal-free diluent changes concentration through total volume even though it adds no signal mass.^[1]

Screen a volume-weighted mixed autoinducer concentration against a supplied activation threshold, assuming no degradation or matrix effects.

When to use Mixed Autoinducer Threshold

Use this tool to screen a volume-weighted mixed autoinducer concentration against a supplied activation threshold, assuming no degradation or matrix effects.

Prepare the sample, count, growth or assay measurements requested by this tool. Confirm units, sampling periods and reporting bases; supply independently established comparison criteria where requested.

How to use Mixed Autoinducer Threshold and understand its results

Prepare the sample, count, growth or assay measurements requested by this tool. Confirm units, sampling periods and reporting bases; supply independently established comparison criteria where requested.
Enter sourceConcentrations, sourceVolumesMl, diluentVolumeMl, activationThreshold using the field table and calculation rules, then run the tool.
Read mixedConcentration, activationThresholdMet, totalVolumeMl. The explanation below defines the units, signs, ordering and any flags or placeholder values.
If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.

Input field	Meaning	Value type; see rules below	Requirement
sourceConcentrations	Source concentrations	list of number	Required
sourceVolumesMl	Source volumes ml	list of number	Required
diluentVolumeMl	Diluent volume ml	number; minimum: 0	Required
activationThreshold	Activation threshold	number	Required

Enter aligned nonempty nonnegative source concentrations and positive source volumes in mL, nonnegative diluent volume and a positive activation threshold in the same concentration unit. The tool returns total volume, volume-weighted mixed concentration and an inclusive thresholdMet flag.

Paired lists must be nonempty and have equal lengths.

mixedConcentration = Σ(concentration_i volume_i)/(Σvolumes+diluent)

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output field	Meaning	Value type
mixedConcentration	Mixed concentration	number
activationThresholdMet	Activation threshold met	boolean
totalVolumeMl	Total volume ml	number

json

{
  "input": {
    "sourceConcentrations": [
      10,
      20
    ],
    "sourceVolumesMl": [
      1,
      1
    ],
    "diluentVolumeMl": 2,
    "activationThreshold": 8
  },
  "output": {
    "mixedConcentration": 7.5,
    "activationThresholdMet": false,
    "totalVolumeMl": 4
  }
}

Limitations and assumptions

Degradation, binding, matrix effects and nonlinear biological responses are omitted. The supplied threshold is a screening parameter rather than proof of quorum activation in an actual culture.

Numeric inputs must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Lists are limited to 100,000 entries; the rules above may require smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors. A successfully returned false flag is an evaluated outcome; its meaning is explained above.

Alternative or Complementary methods

Use Minimal Medium Rescue Screen: Screen paired minimal, complete, and supplemented-medium observations for a growth-rescue pattern; does not identify the deficient pathway. For a complementary task, use Two Point Monod Parameters: Solve the exact two-point Monod model for mu-max and Ks, rejecting observations that imply nonpositive saturation parameters.

References

Mixed Autoinducer Threshold — tool.io

Similar or alternative tools

Minimal Medium Rescue Screen
Screen paired minimal, complete, and supplemented-medium observations for a growth-rescue pattern; does not identify the deficient pathway.
Two Point Monod Parameters
Solve the exact two-point Monod model for mu-max and Ks, rejecting observations that imply nonpositive saturation parameters.