
Results
Production and purification of FimA Nrev and FimA Crev
Stability of the FimA variants against thermal unfolding

Donor strand side chains interacting with the P1–P5 pockets of the FimA fold determine thermodynamic stability and the dynamics of the two-state folding equilibrium of donor strand–complemented FimA

Construct | ΔG0 | meq | D½ |
---|---|---|---|
kJ mol−1 | kJ mol−1 m−1 | m | |
FimA WT, | −5.50 ± 0.50 | 23.0 ± 1.3 | 0.24 |
FimA Crev | −6.85 ± 1.77 | 27.9 ± 2.8 | 0.25 |
Construct | ΔG0 | meq | mF | mU | D½ | Teq | ||
---|---|---|---|---|---|---|---|---|
kJ mol−1 | kJ mol−1 M−1 | m−1 | m−1 | m | s−1 | s−1 | ||
FimAa, | −66.5 ± 2.8 | 25.7 ± 0.9 | −6.3 ± 0.3 | 4.1 ± 0.2 | 2.6 ± 0.1 | 7.5 ± 1.9·10−5 | 1.6 ± 1.8·10−16 | 3225 years |
FimA Nrev | −31.5 ± 1.3 | 26.4 ± 0.9 | −5.7 ± 0.2 | 4.9 ± 0.3 | 1.2 ± 0.1 | 1.2 ± 0.1·10−4 | 3.6 ± 1.9 ·10−10 | 63 days |
All FimA variants fold very slowly and with similar rates

Crystal structures of FimA Nrev and FimA Crev

FimA Nrev | FimA Crev | |
---|---|---|
PDB code | 6R74 | 6S09 |
Wavelength (Å) | 1 | 1 |
Resolution range (Å) | 36.54–1.81 (1.875–1.81) | 47.69–1.502 (1.556–1.502) |
Space group | R 3 2 :H | P 21 21 21 |
Unit cell dimensions (Å) | 86.55, 86.55, 164.21 | 92.31, 105.23, 106.99 |
Unit cell angles (degrees) | 90, 90, 120 | 90, 90, 90 |
Total reflections | 210,185 (10,761) | 2,756,133 (126,780) |
Unique reflections | 21,874 (2146) | 165,865 (16,407) |
Multiplicity | 9.6 (5.0) | 16.6 (7.7) |
Completeness (%) | 99.74 (99.54) | 99.96 (99.74) |
Mean I/σ(I) | 10.00 (0.90) | 5.87 (0.90) |
Wilson B-factor (Å2) | 30.27 | 14.85 |
Rmeas | 0.1757 (2.018) | 0.3763 (2.293) |
CC1/2 | 0.997 (0.578) | 0.99 (0.306) |
CC* | 0.999 (0.856) | 0.997 (0.684) |
Reflections used in refinement | 21,850 (2141) | 165,836 (16,384) |
Reflections used for Rfree | 1091 (107) | 3318 (328) |
Rwork | 0.1925 (0.3454) | 0.1698 (0.3057) |
Rfree | 0.2178 (0.3664) | 0.2060 (0.3379) |
CC(work) | 0.956 (0.749) | 0.970 (0.633) |
CC(free) | 0.892 (0.717) | 0.960 (0.578) |
No. of nonhydrogen atoms | 1221 | 10,985 |
Macromolecules | 1102 | 9006 |
Ligands | 30 | |
Solvent | 89 | 1979 |
Protein residues | 157 | 1294 |
RMSD (bonds) | 0.003 | 0.009 |
RMSD (angles) | 0.58 | 1.02 |
Ramachandran favored (%) | 98.04 | 97.39 |
Ramachandran allowed (%) | 1.96 | 2.61 |
Ramachandran outliers (%) | 0.00 | 0.00 |
Rotamer outliers (%) | 0.00 | 1.00 |
Clashscore | 2.28 | 3.28 |
Average B-factor | 44.30 | 19.96 |
Macromolecules | 43.51 | 17.66 |
Ligands | 71.65 | |
Solvent | 44.85 | 30.46 |
No. of TLS groups | 9 | 58 |
Stabilization of FimA monomers prevents spontaneous assembly to pilus rods

Discussion
Materials and methods
Gene design and cloning of FimA variants
Protein production and purification
Protein concentration determination
Refolding kinetics
where S is the measured CD signal, S0 is the signal at t = 0, S∞ is the signal at the end of the reaction, k1 is the rate constant of refolding at 50 mm GdmCl, and t is the refolding time.
Temperature-induced unfolding transitions
where S is the measured CD signal, Su and Sf are the signals of unfolded and folded protein at zero K, mu and mf are the temperature dependences (“slopes”) of the signal of unfolded and native protein, respectively, Tm is the melting temperature, ΔH is the enthalpy of unfolding, R is the gas constant, and T is the temperature in K. The fitted CD trace was then normalized, and the fraction of native molecules was plotted against temperature. We only used the obtained, apparent Tm values as a qualitative measure of thermal stability, because we could not establish complete reversibility of thermal unfolding.
GdmCl-dependent unfolding and refolding transitions with attained or unattained folding equilibrium
where S is the measured CD signal, Su and Sf are the signals of unfolded and native protein at zero denaturant, mu and mf are the GdmCl dependences (“slopes”) of the signals of unfolded and native protein, respectively, ΔG0 is the free energy of folding at zero GdmCl, and meq is the denaturant dependence of ΔG (cooperativity of folding).
where and are the rate constants of folding and unfolding at zero GdmCl, mF and mU are the linear dependences of ln(kU) and ln(kF) on GdmCl concentration (kinetic m-values), D is the GdmCl concentration, and fN(t) is the fraction of native molecules after incubation time t. The parameter fN(0) is zero for unfolding and one for refolding experiments. Equation 6 describes the kinetics of attainment of a two-state folding equilibrium, and Equations 4 and 5 describe the dependence of kF and kU on denaturant concentration, respectively. For normalization of the recorded CD signals, Equation 7 was used,
where S is the measured CD signal, and and are the signals of the folded and unfolded protein at zero GdmCl, respectively, and mN and mU are the GdmCl dependences of SN and SU, respectively. As no pretransition baseline for native molecules could be recorded, the mN was fixed to zero.
The predicted equilibrium transitions of the FimA Nrev (dotted lines in Fig. 3B) were calculated from Equation 9,
where is the free energy of folding at zero denaturant and meq is the cooperativity of folding (in J mol−1m−1), which equals (mU − mF)·RT. All data were fitted and plotted in OriginPro 2017.
Crystallization of FimA Nrev and FimA Crev
X-ray data collection and structure determination of FimA Nrev and FimA Crev
Structure analysis
Spontaneous assembly of FimA variants into pilus rods
Data availability
Acknowledgments
Supplementary Material
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Article info
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Footnotes
This article contains supporting information.
Author contributions—D. Z. and R. G. conceptualization; D. Z. and B. E. data curation; D. Z. software; D. Z. and B. E. formal analysis; D. Z. and R. G. supervision; D. Z., B. E., and R. G. validation; D. Z., B. E., and R. G. investigation; D. Z. and B. E. visualization; D. Z., B. E., and R. G. methodology; D. Z., B. E., and R. G. writing-original draft; D. Z. and R. G. project administration; D. Z., B. E., and R. G. writing-review and editing; R. G. resources; R. G. funding acquisition.
Funding and additional information—This work was supported by Swiss National Science Foundation Grants 310030B_176403/1 and 31003A_156304 (to R. G.).
Conflict of interest—The authors declare that they have no conflicts of interest with the contents of this article.
Abbreviations—The abbreviations used are: UPEC
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