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Membrane Time Constant Area Cancellation Tool

Specific resistance is resistance times area, and specific capacitance is capacitance per area, so their product is area independent.

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Description

Return membrane resistance, capacitance and area-independent time constant.

Membrane electrical quantities distinguish total from area-specific properties, concentration ratios from activities and single-ion from multi-ion models. Local capacitance, current or potential terms require compatible sign, valence, temperature and unit conventions without themselves validating a biological membrane.

Return membrane resistance, capacitance and area-independent time constant.

When to use this tool

Use Membrane Time Constant Area Cancellation when evaluating the stated membrane, ionic or area-basis term.

How to use the tool and how it works

  1. Enter specificResistance, specificCapacitance, area. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read resistance, capacitance, timeConstant. Use the output convention below.

Return membrane resistance, capacitance and area-independent time constant. Require nonnegative specificResistance/specificCapacitance and area > 0; R = specificResistance/area, C = specificCapacitance*area, tau is their specific-property product.1

Input fieldMeaning and unitsAccepted input
specificResistanceMembrane resistance times area; SI ohm m².Required. Finite number; minimum 0.
specificCapacitanceCapacitance per area; SI F/m².Required. Finite number; minimum 0.
areaAreaRequired. Finite number; strictly above 0.
Output fieldInterpretationReturned shape
resistanceResistanceRequired. Finite number.
capacitanceCapacitanceRequired. Finite number.
timeConstantspecificResistance*specificCapacitance; seconds for compatible SI units.Required. Finite number.
json
{
  "input": {
    "specificResistance": 100,
    "specificCapacitance": 0.01,
    "area": 2
  },
  "output": {
    "resistance": 50,
    "capacitance": 0.02,
    "timeConstant": 1
  }
}

Limitations and assumptions

  • Specific resistance has resistance-times-area units; this uniform lumped RC model does not validate a biological membrane.
  • 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 verified concentrations, activities, geometry and electrical calibration with the appropriate complete membrane/channel model for physiological interpretation.

References

  1. Calculation and input contract: biophysics/membrane-time-constant-area-cancellation — tool.io

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