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nph12200-sup-0001-MethodsS1.docWord document47KMethods S1 Eqns S1–S4, the detailed form of the integrated Eqn 1 and parameter transformations to reach to Eqn 2; Eqns S5–S8, the detailed solution of the second derivative of Eqn 2 and calculations of key parameters of fastest growth rate and time of fastest growth; Eqns S9–S12, details to connect the Lambert–Beer law to Eqn 2.