Description
Return a Hill-model occupancy and log-odds slope.
Enzyme and binding models relate supplied rates, concentrations and active-site conventions under specific assumptions. A local apparent parameter, turnover or occupancy term does not identify an inhibition mechanism, fit a kinetic model or establish a validated assay.
Return a Hill-model occupancy and log-odds slope.
When to use this tool
Use Hill Occupancy Logit Slope Term when evaluating the stated enzyme, binding, dilution or rate-basis term.
How to use the tool and how it works
- Enter ligand, halfSaturation, hillCoefficient. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read logOdds, occupancy, logLigandSlope. Use the output convention below.
Return a Hill-model occupancy and log-odds slope. Require positive ligand, halfSaturation and hillCoefficient; logOdds = n*ln(ligand/halfSaturation), occupancy = 1/(1+(halfSaturation/ligand)^n), logLigandSlope = n.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| ligand | Ligand | Required. Finite number; strictly above 0. |
| halfSaturation | Half Saturation | Required. Finite number; strictly above 0. |
| hillCoefficient | Hill Coefficient | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| logOdds | Log Odds | Required. Finite number. |
| occupancy | Occupancy | Required. Finite number. |
| logLigandSlope | Derivative of log occupancy odds with respect to natural-log ligand concentration: the supplied Hill coefficient. | Required. Finite number. |
{
"input": {
"ligand": 2,
"halfSaturation": 2,
"hillCoefficient": 3
},
"output": {
"logOdds": 0,
"occupancy": 0.5,
"logLigandSlope": 3
}
}Limitations and assumptions
- The coefficient and concentrations are supplied; it need not equal binding-site count and no cooperative mechanism or fit 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
Use calibrated observations and a complete suitable kinetic/assay model, including substrate, active-site and stoichiometric conventions, for biochemical inference.
References
Similar or alternative tools
- Ligand Depletion Mass Balance Residual
Return ligand balance residual from supplied occupancy.
- Enzyme Turnover Molar Enzyme Basis
Return turnover frequency on an active-enzyme mole basis.