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Representative validation narrative

Deep representative report structure tied to MF-SIM-001.

Section: ResearchEpistemic status: formalLast updated: February 11, 2026

MF-SIM-001 (AND gate) report structure

Hypothesis: Dual-input AND gate produces output O only when both I1 and I2 exceed threshold concentration.

Model setup: Dual toehold architecture, blocking strand protecting output domain, leak pathway modeled.

Control conditions: no input, I1 only, I2 only, I1 + I2.

R_correct = k_{I1,I2}
R_leak = k_spurious
R_correct >> R_leak

Observed results: [INSERT ACTUAL OUTPUT CONCENTRATION DATA]. Quantitative metrics: leak probability [INSERT VALUE OR RANGE], convergence time [INSERT TIME RANGE], output dominance ratio [INSERT RATIO].

Boundary condition: leak amplification increases as cascade depth rises beyond modeled threshold.

FIGURE 03: STRAND DISPLACEMENT AND GATEGate ComplexToehold t1 | Branch migration region | Toehold t2Blocking strandInput I1Input I2Output ODirectional sequence: I1 binds t1, then I2 binds t2, blocker displaced, O released.

Figure 03 - Strand Displacement AND Gate

Representative gate topology used for Phase I validation.

Operational context links