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Rates of calcein release (which corresponds to pore formation) were calculated by fitting the normalized fluorescence intensity data with a nonlinear fitting algorithm in OriginPro 8.6.

CA were automatically calculated by fitting the captured drop shape.

IFN-β concentrations were calculated by fitting the standard curve of mouse IFN-β protein.

Dissociation constant of ATP for ΔN-TClpB (as monomer) were calculated by fitting the titration data to the competitive binding model15.

The exchange energy parameter Xij was also calculated by fitting the theory to some phase diagrams of PMMA/SAN blends.

The aspect ratio for the clay platelets was calculated by fitting the experimental permeation values to classical diffusion models.

The dispersion coefficient was calculated by fitting the analytical solution of FADE to the measured data at different transport scales.

The Young's modulus was calculated by fitting the contact region of the approach curve with the Hertz Contact model66 using the JPK software, using the above constants and calibrated cantilever sensitivity.

The half-time of heavy acetyl incorporation was calculated by fitting the ratios of 13C/(13C + 12C) acetylated peptides at each time point to the equation y = a* 1-e^ -x/b)) (Fig. 2a* 1-e^ -x/b

Table 1: Ground-state lattice constants a, bulk moduli B0 and first derivatives B´0, calculated by fitting the total energy per cell with the Birch-Murnaghan equation of state.

Apparent dissociation constants of Mant-ADP for ΔN-TClpB (as monomer) was calculated by fitting the titration data to the model of simple 1 1 binding in consideration of the decrease of concentrations of free Mant-ADP15.

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