Antibody equilibrium occupancy counts occupied antibody binding sites, rather than retained assay label. For an original 1:1 model, let denote an unoccupied site, free antigen bearing one accessible epitope, and their complex. At chemical equilibrium, write
Square brackets mean concentrations. The dissociation constant here has concentration units. This is the same independent-site calculation as receptor binding occupancy, now applied to an antibody binding site. The last equality follows by substituting into the occupied fraction and cancelling .
Assume identical independent sites, reversible 1:1 binding, dilute chemical solution behavior, fixed temperature and buffer solution, and enough time for chemical equilibrium. Exclude two-arm bridging, cross-reactivity and inaccessible sites from this model. Crucially, is free antigen concentration; substituting the amount supplied per volume requires negligible depletion by binding. Independent IgG arms could obey this model site by site, but it does not describe avidity from bridging a surface.
Stipulate , with . Free antigen concentrations , and give , and . A second stipulated dissociation constant of instead gives at . Both curves approach one at large : a nearly saturated readout can conceal an antibody affinity difference. These are invented values, with no universal threshold for a useful antibody.
Figure 1.
Antibody equilibrium occupancy and the additional steps in an assay readout
. Original analytic curves for stipulated dissociation constants of and ; marked examples belong to the first curve. The adjacent schematic separates epitope accessibility, binding, washing and detection. It contains no measured sensorgrams, fitted assay parameters or experimental signals. A logarithmic scale changes the display, not the independent-site assumptions. Details.
A Western blot readout additionally depends on Western blot transfer, accessible epitopes, loss during washing and Western blot antibody detection. Western blot response saturation can flatten the final signal even when binding itself remains responsive. An ELISA also reports retained label through an enzyme readout, rather than automatically reporting . Thus half of an assay's maximum signal need not occur at . Varying free antigen through concentrations near the candidate dissociation constant, while checking depletion and the readout's response, is more informative than comparing a single saturated point.
Western blot 2026-10-13
A Western blot detects selected proteins after their separation and transfer to a membrane, using antibodies. In the yeast cross-species complementation experiment, detection helps distinguish failed protein production from failure of an expressed protein to restore growth.
The useful idea is to preserve where proteins migrated in gel electrophoresis, then ask which positions retain an antibody. Western blot separation, Western blot transfer and Western blot antibody detection answer different questions. A band is evidence of retained label at a position; Western blot band interpretation requires Western blot controls before assigning identity or comparing abundance.
Figure 1. . Original schematic of an SDS-PAGE-based workflow, showing transfer towards the anode and an indirect antibody readout. The drawn bands and binding shapes are explanatory symbols, not measured data or a reconstruction of the original apparatus. The acidic urea-gel experiment discussed under Western blot transfer used the opposite polarity. Details.
Band position gives an apparent mass, not unique protein identity. Intensity depends on retention, epitope recognition and detection response; it does not establish folded state, enzyme activity or successful protein targeting. Missing bands can reflect missing targets or failed Western blot transfer or Western blot antibody detection. [ref]
The yeast cross-species complementation experiment consequently combines two logically different readouts: Western blot evidence about production of an antibody-recognized protein, and growth evidence about functional complementation. A detectable protein need not perform the biological task required for growth.
Total-protein Western blot normalization compares a target-band signal with a signal representing many transferred proteins in that lane. It is distinct from measuring one reference protein, and from measuring the target itself. Its denominator is a loading proxy: normalization estimates target abundance relative to detected total protein, rather than target amount per biological cell. Different sample compositions, selective Western blot transfer losses or unequal stain responses can still matter.
For an original calculation, suppose background-corrected target signals , and total-protein signals , are in their respective proportional response ranges. Then
The invented signals double together, so this calculation supplies no evidence for a higher target fraction. With but , the same calculation gives . These examples assume a common target response and a common total-protein response between lanes, negligible remaining background, and comparable target recovery; they do not equate total-protein staining with target abundance. Multiplying both signals in a lane by the same loading factor cancels in their ratio; a selective target loss does not cancel.
Western blot transfer 2026-10-13
Western blot transfer moves separated proteins out of the gel onto a Western blot membrane, using an electric field across the gel thickness. Maintaining close contact preserves the lane pattern. Contact gaps, incomplete removal from the gel and passage through the receiving sheet can change how much protein is retained.
The original 1979 experiment pressed a wetted, -pore nitrocellulose Western blot membrane against the gel between scouring pads and plastic pipette-tray grids, held by elastic bands. The urea-gel assembly faced the cathode in acidic solution, with applied for one hour; the SDS-PAGE variant reversed polarity and used a glycine/methanol buffer solution. Stained gel/blot pairs checked pattern preservation. Corresponding labelled ribosome protein spots from two gels were compared through radioactive decay readouts after combustion. The stained gel remaining after transfer supplied a removal check; a second receiving sheet revealed breakthrough on overloading. These tests supported recovery for the examined urea-gel proteins, within experimental variation, while the SDS-PAGE results showed unequal staining recovery. Preserved band positions therefore did not establish universal quantitative transfer. [ref]