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Aseptic Technique Protocol

A set of standardized, sequential procedures (e.g., handwashing, gowning, draping) designed to prevent the introduction of pathogens into the surgical wound site.
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The statement of the theorem

Model the surgical environment as a state space S\mathcal{S}. Let Si\mathbf{S}_i be the state after step ii (e.g., handwashing, draping). The transition from Si1\mathbf{S}_{i-1} to Si\mathbf{S}_i is governed by a contamination reduction factor ρi[0,1]\rho_i \triangleq [0, 1], where ρi\rho_i is the probability that the pathogen load LL remains below the critical threshold LcritL_{crit} after step ii. The overall safety state Sfinal\mathbf{S}_{final} is achieved when the cumulative reduction factor Π=i=1Nρi\Pi = \prod_{i=1}^{N} \rho_i ensures Lfinal<LcritL_{final} < L_{crit}.