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Antibody equilibrium occupancy counts occupied antibody binding sites, rather than retained assay label. For an original 1:1 model, let $A$ denote an unoccupied site, $E$ free antigen bearing one accessible epitope, and $AE$ their complex. At chemical equilibrium, writeSquare brackets mean concentrations. The dissociation constant $K_d$ 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 $[AE]=[A]c/K_d$ into the occupied fraction and cancelling $[A]$.

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, $c$ 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 $K_d=20\mathrm{nM}$, with $1\mathrm{nM}=10^{-9}\mathrm{mol}{\mathrm{L}}^{-1}$. Free antigen concentrations $2$, $20$ and $200\mathrm{nM}$ give $\theta =1/11$, $1/2$ and $10/11$. A second stipulated dissociation constant of $200\mathrm{nM}$ instead gives $\theta =1/11$ at $c=20\mathrm{nM}$. Both curves approach one at large $c$: a nearly saturated readout can conceal an antibody affinity difference. These are invented values, with no universal threshold for a useful antibody.

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 $\theta$. Thus half of an assay's maximum signal need not occur at $c=K_d$. 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.

An epitope is the molecular feature recognized by an antibody. Protein denaturation can expose an epitope or destroy the spatial arrangement required for its recognition; an antibody that works on a folded protein need not work in SDS-PAGE-based Western blot antibody detection.

A secondary antibody recognizes another antibody, rather than the proposed target protein directly. In Western blot antibody detection, its attached label makes retained primary antibodies visible. A secondary antibody must recognize the kind of primary antibody used.

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.

A known target-containing sample is a positive comparison for Western blot antibody detection. A matched sample with gene deletion supplies a negative comparison: disappearance of the proposed band supports the assignment, while a persisting band indicates binding unrelated to the deleted target. Deletion must actually remove the recognized protein; changes in other proteins can complicate the comparison. Omitting the primary antibody checks binding or background from the secondary antibody and detection reagents, but cannot exclude binding of the primary antibody to an unintended protein. Independent antibodies recognizing different epitopes add evidence. ^[ref]

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.

A Western blot membrane is a thin protein-binding support that receives the separated pattern. It is a laboratory support, distinct from a cell membrane. Retaining proteins on its surface makes them accessible for Western blot antibody detection.