Test a finite-capacity carrier without equating saturation with active transport
A membrane’s hydrophobic interior creates different barriers for different substances. Small nonpolar molecules can use pathways unlike those available to charged or large polar solutes. Channels and carriers provide selective routes; the presence of a protein route does not by itself imply that movement is uphill or directly ATP-driven. Phospholipids are amphipathic: polar heads face water while nonpolar tails form the bilayer interior. Cis-unsaturated tails disrupt close packing compared with otherwise similar saturated tails, tending to maintain fluidity during cooling. Cholesterol can restrain movement in a warmer fluid membrane while disrupting tight packing at lower temperatures; it buffers temperature effects rather than always increasing fluidity. Its packing effects can also reduce passive water/small-solute permeability in model bilayers, but fluidity, permeability and carrier activity are distinct measurements.
Learning outcome: Compare competitor0 and2 across substrate1,4 and10. Locate half-maximal uptake and distinguish a changingKm from a changingVmax. Propose an assay control that could separate transport saturation from detector saturation. As a separate composition prediction, compare otherwise matched saturated-tail and cis-unsaturated-tail membranes during cooling: which should retain more fluidity? Would that alone establish a faster carrier rate?
Starting recap
Connect calibrated dimensions, cell organization, material balance and membrane energetics. State the model boundary before interpreting a changed condition.
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With competitor2mmol/L, apparentKm=2mmol/L. At substrate4mmol/L, carrier rate=100×4/(2+4)≈66.67nmol/min; the linear comparator is80nmol/min. Without competitor, the carrier rate at the same substrate is80nmol/min, while the suppliedVmax remains100.
Open the experimentPredict
Does a competitive ligand necessarily lower the suppliedVmax, or can it shift the substrate amount needed for half-maximal uptake?
Experiment
Compare competitor0 and2 across substrate1,4 and10. Locate half-maximal uptake and distinguish a changingKm from a changingVmax. Propose an assay control that could separate transport saturation from detector saturation. As a separate composition prediction, compare otherwise matched saturated-tail and cis-unsaturated-tail membranes during cooling: which should retain more fluidity? Would that alone establish a faster carrier rate?
Distinguish a saturating carrier from a linear pathway
Worked teaching model · synthetic values · Initial inward uptake with negligible inside substrate. Carrier Vmax100nmol/min, Km1mmol/L and competitor Ki2mmol/L; apparent Km=Km(1+I/Ki). Separate linear-pathway comparator20×S nmol/min. The competitive binding model is stipulated; an observed curve alone cannot uniquely identify a transporter.
Reset keeps your prediction, captures and practice history.
The competitor changes the half-maximal concentration in this model, not its supplied Vmax.
At S=apparentKm the carrier rate is50nmol/min. Saturation supports a finite-capacity model but does not alone prove active transport or a particular protein. Initial uptake and negligible internal substrate are explicit assumptions.
Solid: Saturating carrier. Dashed: Linear comparator. Axes rescale to the current range; use labeled values rather than comparing graph heights across settings.
| Outside substrate(mmol/L) | Saturating carrier (Initial uptake(nmol/min)) | Linear comparator (Initial uptake(nmol/min)) |
|---|---|---|
| 0 | 0.000000 | 0.000000 |
| 0.5 | 20.00000 | 10.00000 |
| 1 | 33.33333 | 20.00000 |
| 1.5 | 42.85714 | 30.00000 |
| 2 | 50.00000 | 40.00000 |
| 2.5 | 55.55556 | 50.00000 |
| 3 | 60.00000 | 60.00000 |
| 3.5 | 63.63636 | 70.00000 |
| 4 | 66.66667 | 80.00000 |
| 4.5 | 69.23077 | 90.00000 |
| 5 | 71.42857 | 100.0000 |
| 5.5 | 73.33333 | 110.0000 |
| 6 | 75.00000 | 120.0000 |
| 6.5 | 76.47059 | 130.0000 |
| 7 | 77.77778 | 140.0000 |
| 7.5 | 78.94737 | 150.0000 |
| 8 | 80.00000 | 160.0000 |
| 8.5 | 80.95238 | 170.0000 |
| 9 | 81.81818 | 180.0000 |
| 9.5 | 82.60870 | 190.0000 |
| 10 | 83.33333 | 200.0000 |
| Quantity | Value | Unit |
|---|---|---|
| Apparent carrier Km | 2 | mmol/L |
| Selected carrier uptake rate | 66.66667 | nmol/min |
| Selected linear comparator rate | 80 | nmol/min |
| Carrier Vmax | 100 | nmol/min |
Retain prior predictions, settings and quantities in the notebook. These are original supplied/calculated comparisons, not physical specimen observations or laboratory participation.
The competitor changes the half-maximal concentration in this model, not its supplied Vmax.
At S=apparentKm the carrier rate is50nmol/min. Saturation supports a finite-capacity model but does not alone prove active transport or a particular protein. Initial uptake and negligible internal substrate are explicit assumptions.
Captures preserve recipes and replay their calculated results. They are synthetic model evidence, not physical measurements.
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Public practice checks a specific claim. It does not establish independent mastery.
A stipulated carrier hasVmax120nmol/min and apparentKm3mmol/L. What is its rate at substrate3mmol/L? Does that establish ATP dependence?
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