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Long probes cannot distinguish a single mismatch

Supplied working report; original verdicts not validated.

Review status: Held for correction. This is an archival source note, not a passed proof.

README.md

# Long probes cannot distinguish a single mismatch

**XXII, Theory 03 / Molecular / DNA duplexes** · verdict: **supported**

Claim (verbatim):
> Hybridisation specificity is set by the ratio of mismatch destabilisation to duplex length, so long probes cannot distinguish a single mismatch.

## Result

Discrimination falls from 1.9 C at 6 nt to 0.1 C at 60 nt as the fixed mismatch penalty is spread over more base pairs.

## Headline

Single-mismatch discrimination falls from 1.9C to 0.1C between 6 and 60 nt.

## Design

Melting temperatures of perfect and single-mismatch duplexes were computed from a two-state nearest-neighbour model with a fixed mismatch penalty, varying probe length from 6 to 60 nt.

## Key statistics

- dTm_at_6nt_C = 1.92145 C
- dTm_at_60nt_C = 0.0670605 C

## Predictions

- **P1** (supported): dTm falls from 1.9C to 0.1C with length

## Limitations

- A fixed mean mismatch penalty is an approximation; real penalties depend on the mismatch and its neighbours.
- Specificity in practice also depends on washing stringency, which can recover some discrimination.
- The two-state model ignores secondary structure and probe-surface effects.

Provenance: Two-state nearest-neighbour melting model (Marky-Breslauer / SantaLucia convention, mean parameters).

*Working paper — not peer reviewed. AI-assisted. Not medical, clinical, financial or safety advice.*

Included code and results