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Low-cooling-rate freezing in biomolecular cryo-electron microscopy for recovery of initial frames

Published online by Cambridge University Press:  06 September 2021

Chunling Wu
Affiliation:
National Laboratory of Biomacromolecules, CAS Center for Excellence in Biomacromolecules, Institute of Biophysics, Chinese Academy of Sciences (CAS), Beijing 100101, P.R. China College of Life Sciences, University of Chinese Academy of Sciences, Beijing 100049, P.R. China
Huigang Shi
Affiliation:
National Laboratory of Biomacromolecules, CAS Center for Excellence in Biomacromolecules, Institute of Biophysics, Chinese Academy of Sciences (CAS), Beijing 100101, P.R. China College of Life Sciences, University of Chinese Academy of Sciences, Beijing 100049, P.R. China
Dongjie Zhu
Affiliation:
School of Life Sciences, University of Science and Technology of China, Hefei 230026, P.R. China
Kelong Fan
Affiliation:
CAS Engineering Laboratory for Nanozyme, Key Laboratory of Protein and Peptide Pharmaceutical, Institute of Biophysics, Chinese Academy of Sciences (CAS), Beijing 100101, P.R. China
Xinzheng Zhang*
Affiliation:
National Laboratory of Biomacromolecules, CAS Center for Excellence in Biomacromolecules, Institute of Biophysics, Chinese Academy of Sciences (CAS), Beijing 100101, P.R. China College of Life Sciences, University of Chinese Academy of Sciences, Beijing 100049, P.R. China
*
*Author for correspondence: Xinzheng Zhang, E-mail: xzzhang@ibp.ac.cn
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Abstract

Resolutions of per-frame reconstructions for various samples frozen at different cooling rates. (a) Resolutions of per-frame reconstructions of various samples frozen by lowering the cooling rate. The green lines are for apo-ferritin (rhombus), glutamate dehydrogenase (GDH; square) and virus-like particles (VLP; triangle) collected in the pink region marked in Fig. 1a. The red lines are for apo-ferritin (rhombus), GDH (square) and aldolase (triangle) frozen at −110 °C. Aldolase was frozen on an Au grid covered with a holey NiTi film (regular triangles), and also on a Cu grid covered with a holey carbon film (inverted triangle). The grey line shows the resolutions of downloaded per-frame reconstructions (EMD-11210) of DNA protection protein during starvation (DPS). (b) Resolutions of per-frame reconstructions of GDH datasets using a cooling-rate gradient. The green dataset was collected for a standard frozen sample formed at the highest cooling rate, the blue dataset was collected in the light-blue region in Fig. 1a, and the red dataset was collected in the pink region in Fig. 1a.

When biological samples are first exposed to electrons in cryo-electron microcopy (cryo-EM), proteins exhibit a rapid ‘burst’ phase of beam-induced motion that cannot be corrected with software. This lowers the quality of the initial frames, which are the least damaged by the electrons. Hence, they are commonly excluded or down-weighted during data processing, reducing the undamaged signal and the resolution in the reconstruction. By decreasing the cooling rate during sample preparation, either with a cooling-rate gradient or by increasing the freezing temperature, we show that the quality of the initial frames for various protein and virus samples can be recovered. Incorporation of the initial frames in the reconstruction increases the resolution by an amount equivalent to using ~60% more data. Moreover, these frames preserve the high-quality cryo-EM densities of radiation-sensitive residues, which is often damaged or very weak in canonical three-dimensional reconstruction. The improved freezing conditions can be easily achieved using existing devices and enhance the overall quality of cryo-EM structures.

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Type
Research Article
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This is an Open Access article, distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives licence (https://creativecommons.org/licenses/by-nc-nd/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is unaltered and is properly cited. The written permission of Cambridge University Press must be obtained for commercial re-use or in order to create a derivative work.
Copyright
© The Author(s) 2021. Published by Cambridge University Press
Figure 0

Fig 1. Cooling-rate gradient for cryo-electron microscopy (EM) samples. (a) Schematic of types of ice formed on grid covered by a cooling-rate gradient. The mesh in the dark blue region contained mostly crystalline ice. The pink region contained either vitreous ice or crystalline ice, and the light blue region contained mostly vitreous ice. (b) glutamate dehydrogenase (GDH) embedded in vitreous ice and crystalline ice frozen at −183 °C.

Figure 1

Table 1. Comparisons of various samples frozen under different conditions

Figure 2

Fig. 2. Resolutions of per-frame reconstructions for various samples frozen at different cooling rates. (a) Resolutions of per-frame reconstructions of various samples frozen by lowering the cooling rate. The green lines are for apo-ferritin (rhombus), glutamate dehydrogenase (GDH; square) and virus-like particles (VLP; triangle) collected in the pink region marked in Fig. 1a. The red lines are for apo-ferritin (rhombus), GDH (square) and aldolase (triangle) frozen at −110 °C. Aldolase was frozen on an Au grid covered with a holey NiTi film (regular triangles), and also on a Cu grid covered with a holey carbon film (inverted triangle). The grey line shows the resolutions of downloaded per-frame reconstructions (EMD-11210) of DNA protection protein during starvation (DPS). (b) Resolutions of per-frame reconstructions of GDH datasets using a cooling-rate gradient. The green dataset was collected for a standard frozen sample formed at the highest cooling rate, the blue dataset was collected in the light-blue region in Fig. 1a, and the red dataset was collected in the pink region in Fig. 1a.

Figure 3

Fig. 3. Effect of freezing temperature. (a) Images of apo-ferritin embedded in vitreous ice frozen at −150 and −110 °C. (b) Resolutions of per-frame reconstructions of apo-ferritin frozen at −183 °C (green), −150 °C (blue) and −110 °C (red), with exposures of 1.2, 1.2 and 1.27 e2 for each frame, respectively.

Figure 4

Fig. 4. Maps showing the side chain densities of the initial per-frame reconstructions of apo-ferritin frozen at −110 °C.

Figure 5

Fig. 5. ResLog plots of datasets including or excluding the first three frames. The red and blue straight lines were fit from the first five data points, and correspond to the datasets with or without the first three frames, respectively. The b-factors of the full-frames dataset and partial-frames dataset were 74.9 Å2 and 76.3 Å2, respectively. The length between the two horizontal dashed lines is 0.453, which indicates that the reconstruction of the dataset without the first three frames needed ~1.6 times particles to achieve the same resolution as that for the dataset with the first three frames.

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Review: Low-cooling-rate freezing in biomolecular cryo-electron microscopy for recovery of initial frames — R0/PR1

Conflict of interest statement

Nothing to declare.

Comments

Comments to Author: Authors of the manuscript "Freezing with low cooling rate to recover initial frames in cryo-electron microscopy" suggested an unusual technique to recover information from early frames in "movies" recorded by modern Direct Electron Detector cameras (DDD) of radiation sensitive materials, biological samples in particular. It is counterintuitive, at least for me, that reducing of cooling rate using standard cryo-EM cryogen, ethane, would lead to better recovery of information from images of vitrified samples, but they seem to be able to demonstrate the technique worked for several different samples. Their hypothesis was that the lower cooling rate during vitrification would decrease mechanical stress in vitirified samples resulting in slower motion in the early frames of the DDD movies, which would reduce overall changes during a frame exposure. To prove that hypothesis they vitrified grids with tweezers tips positioned well inside the metal mesh, which led to variable temperature gradient on the grid during vitrification depending on the distance from the tips to a particular hole with sample. The authors did also show that using higher cryogen temperatures led to better per-frame resolution in cryo-EM maps of several proteins and their complexes, especially for first few frames in the movies collected on K2 camera. They used similar conditions to vitrify specimens, except for cryogen temperature, which made the results interpretable. I am not sure if their statement about 'too fast' movement in the first frames is entirely correct; there are other factors that could affect quality of the first frames in the movies. To further prove that lateral displacement in early frames is the culprit for loss of information in them, the authors could either use a faster camera (e.g. K3), or lower the dose rate to reduce the effective amount of movement in these frames. The 'rapid burst' they mention would lead to not only side movement of the particles in vitrified water, but also to rotations and tilts of the particles, which is difficult to account for using existing motion-correction programs, at least in the first stages of image processing.

It looks like the authors either had extensive discussions or arguments with Dr. C. Russo or his group and therefore wanted to prove their point in the manuscript. They even checked the validity of Naydenova et al. 2020 statement that "HexAuFoil" grids allowed to restore information from early frames in DDD movies. I would leave that part of the manuscript; it does not prove Dr. C. Russo wrong but leaves wrong impression on readers.

Specific points:

English in general could be improved

Their statement (lines 114-119, page 4) that the data show vitrification stress being proportional to cryogen temperature used for vitrification may not be correct, it is just their observation that overall quality of early frames becomes better at higher cryogen temperatures, or at a certain distance from tweezers tips.

The phrase (line 152) that 'pink' region in Figure 1 represents "minimal cooling rate" for vitrification is imprecise since according to authors the cooling rate will vary within that region depending on distance from the rim of a grid, and from tweezers tips. It should probably say 'lower cooling rate' compared to closer to tips/rim areas.

Last paragraph (lines 176-186) on page 6: again, some quantification is required, where these 'light blue' regions were relative to tweezer tips, or how far were they from the rim of the grid; otherwise it is difficult to understand the difference between these areas and 'conventional freezing' grids.

The authors could cite A. Bartesaghi, A. Merk, S. Banerjee, D. Matthies, X. Wu, J. L. S. Milne, and S. Subramaniam 2.2 Å resolution cryo-EM structure of β-galactosidase in complex with a cell-permeant inhibitor. Science. 2015 Jun 5; 348(6239): 1147-1151.doi: 10.1126/science.aab1576 in addition to other references (line 233, page 8)

Discussion:

First phrase is inaccurate, in addition to reduced stress during vitrification (which is still not determined in the study) there could be different factors, e.g. specimen charging under the beam could depend on freezing conditions or other factorscould vary as well. Overall structure of the grids frozen with higher cryogen temperature could different.

How did authors measure ice thickness in their grids (lines 267-272; Table 1)? What was microdroplet thickness in J. Dubochet's case?

It is authors speculation that lower cooling rate freezing would cause better equilibration of "the expansion of the vitreous ice" and "produce stress-free vitreous ice". It is natural to suggest that, but they would need to prove it one way, or another

Methods:

Make terminology consistent: 'plum region and cyan region', 'pink' before (line 363)

Line 570: "porous" -> change to "holey". Although porous is technically correct term, but people usually call that "holey film" in cryo-EM.

What was the reason to use different support film types in addition to changing temperature and tweezers position? That makes it more confusing for reader, too many variables. C-film, Cu grids; Au grids, NiTi film; ANTA grids?

Figure 3: Why is panel A there? What does it have to do with temperature effect on freezing? Do exposures in the legend refer to per-frame exposures? How different "exposure" is from "fluence"?

Figure 4: Panels A and B are quite different; it is probably a good idea to make them into separate Figures. In panel B: "the red and blue straight lines were fitted from the linear sections", what does that mean? I did not see any 'dotted line' in the panel.

Table 1: What does it mean "control" in the "temperature" column? What is "D" and "h"? that was defined in the main text, but would be helpful to remind reader what they were. Why 'D' is in 'um' and 'h' is in 'nm'? How could resolution difference between a per-frame reconstruction, and the best per-frame resolution be negative number? Why in the first line (apoferritin frozen at -183C) differences are zero? What does it mean "control" temperature?

Data availability - have to specify the IDs for deposited data, none provided

VLP: which one? VLP in general means viral particles without packaged genome, many viruses could form VLPs, need to specify what was used in this particular case.

Supplementary data

Table S1: Same as in Table 1 - "control" temperature? Again, not to introduce more variables, why did authors needed to use different support films, different data collection methods, worked with- and without energy filter? What does it mean "GIF (eV)"?

Figure S1. What does it mean "without adding extra contract between tweezers and grids"?

Figure S2 has to be modified or deleted; the authors did not use any temperatures near zero °C and that error curve is confusing. Such "fitting" cannot be done from 4 measurements where three of them are close to each other at one end of the curve, and the fourth is miles away at the other end.

Table S2: I am not sure how precise their temperature measurements were, but most likely not to the second decimal point. In any case, that precision is redundant because the variation between same type of cryo-plungers would be much larger than even 1°C and would also depend on location of the plunger and local temperature/humidity/air circulation variation in the room. Plus, it would be difficult for experimentalists to setup the conditions with that precision. Moreover, is that important for this kind of experiments?

What is DPS? My understanding is that was abbreviation taken from a published paper, the authors should be responsible for explanation of all terms used in the text, so they have to introduce all abbreviations used in the manuscript.

Review: Low-cooling-rate freezing in biomolecular cryo-electron microscopy for recovery of initial frames — R0/PR2

Conflict of interest statement

Reviewer declares none.

Comments

Comments to Author: Comments to the Author

In this study, authors developed a method that improves the cryo-electron microscopy reconstruction by using a cooling rate gradient or increasing the vitrification temperature, especially at -110℃. This is an interesting and important work, vitrification at higher temperature reduced the beam induced motion, which will be beneficial to push resolution for most of the samples. The studies were done well in each comparison. I recommend this work for publication after careful revision.

Major concern:

The resolutions of apoferrtin were solved at 2.20, 2.38, and 1.89 Å from the datasets frozen at -183, -150 and -110℃. I can see the -110℃ one has much better resolution, however, the -150℃ one has the lowest resolution, which makes me to doubt the conclusion (Line 223-225) that the resolution can be improved by increasing the vitrification temperature (-150℃ vs -183℃). Is it because the number of particles in the two datasets are quite different? Have the authors tried -150℃ on other samples?

Other comments:

1. Please combine Fig. 2A and Fig. S1 for a better comparison. Move the curves at 110℃ from Fig. 2 to Fig. 3.

2. In Fig. 2B, "plum" should be changed to "pink".

3. Line 218: authors used two types of grid, but I don't see the explanation on why and how to choose the types of the grids. Please comment.

4. Please add more details of data processing in Methods, such as how many images collected, initial particle numbers, final particle numbers, and final resolutions…

5. Please add a column showing the best resolution in Table 1.

6. Please add particles number and final resolution in Table S1.

7. Line 244. I would say that excluding the first three frames is not a routine method used by scientists around the world nowadays based on most of the cryo-EM publications, so I suggest the authors can avoid to say "conventional cryo-EM data" here. Besides, in Line 209, the authors mentioned "using conventional data processing procedure…..(details in Methods)", but I don't see the details in methods, such as whether the authors removed the first 3 frames during the data processing. If yes, have the authors tried to use all the frames for data processing and do similar comparisons? I'm eager to see the results of these comparisons.

8. Figure S2, the temperatures should be minus.

9. Line 252: Please show the values of B-factor for both datasets in the Fig 4B.

10. Line 361: Please show the source for ANTA grid.

11. Line 363: "plum" should be changed to "pink" and "cyan" to "light blue".

Kaiming Zhang

Recommendation: Low-cooling-rate freezing in biomolecular cryo-electron microscopy for recovery of initial frames — R0/PR3

Comments

Comments to Author: Dear Dr Zhang,

Thank you for your submission. We have now obtained two reviewers' comments and they are both supportive of the manuscript. Please read through their comments and provide a point-by-point response. We look forward to your revised manuscript.

Regards,

Shee-Mei

Reviewer #1: Comments to the Author

In this study, authors developed a method that improves the cryo-electron microscopy reconstruction by using a cooling rate gradient or increasing the vitrification temperature, especially at -110℃. This is an interesting and important work, vitrification at higher temperature reduced the beam induced motion, which will be beneficial to push resolution for most of the samples. The studies were done well in each comparison. I recommend this work for publication after careful revision.

Major concern:

The resolutions of apoferrtin were solved at 2.20, 2.38, and 1.89 Å from the datasets frozen at -183, -150 and -110℃. I can see the -110℃ one has much better resolution, however, the -150℃ one has the lowest resolution, which makes me to doubt the conclusion (Line 223-225) that the resolution can be improved by increasing the vitrification temperature (-150℃ vs -183℃). Is it because the number of particles in the two datasets are quite different? Have the authors tried -150℃ on other samples?

Other comments:

1. Please combine Fig. 2A and Fig. S1 for a better comparison. Move the curves at 110℃ from Fig. 2 to Fig. 3.

2. In Fig. 2B, "plum" should be changed to "pink".

3. Line 218: authors used two types of grid, but I don't see the explanation on why and how to choose the types of the grids. Please comment.

4. Please add more details of data processing in Methods, such as how many images collected, initial particle numbers, final particle numbers, and final resolutions…

5. Please add a column showing the best resolution in Table 1.

6. Please add particles number and final resolution in Table S1.

7. Line 244. I would say that excluding the first three frames is not a routine method used by scientists around the world nowadays based on most of the cryo-EM publications, so I suggest the authors can avoid to say "conventional cryo-EM data" here. Besides, in Line 209, the authors mentioned "using conventional data processing procedure…..(details in Methods)", but I don't see the details in methods, such as whether the authors removed the first 3 frames during the data processing. If yes, have the authors tried to use all the frames for data processing and do similar comparisons? I'm eager to see the results of these comparisons.

8. Figure S2, the temperatures should be minus.

9. Line 252: Please show the values of B-factor for both datasets in the Fig 4B.

10. Line 361: Please show the source for ANTA grid.

11. Line 363: "plum" should be changed to "pink" and "cyan" to "light blue".

Kaiming Zhang

Reviewer #2: Authors of the manuscript "Freezing with low cooling rate to recover initial frames in cryo-electron microscopy" suggested an unusual technique to recover information from early frames in "movies" recorded by modern Direct Electron Detector cameras (DDD) of radiation sensitive materials, biological samples in particular. It is counterintuitive, at least for me, that reducing of cooling rate using standard cryo-EM cryogen, ethane, would lead to better recovery of information from images of vitrified samples, but they seem to be able to demonstrate the technique worked for several different samples. Their hypothesis was that the lower cooling rate during vitrification would decrease mechanical stress in vitirified samples resulting in slower motion in the early frames of the DDD movies, which would reduce overall changes during a frame exposure. To prove that hypothesis they vitrified grids with tweezers tips positioned well inside the metal mesh, which led to variable temperature gradient on the grid during vitrification depending on the distance from the tips to a particular hole with sample. The authors did also show that using higher cryogen temperatures led to better per-frame resolution in cryo-EM maps of several proteins and their complexes, especially for first few frames in the movies collected on K2 camera. They used similar conditions to vitrify specimens, except for cryogen temperature, which made the results interpretable. I am not sure if their statement about 'too fast' movement in the first frames is entirely correct; there are other factors that could affect quality of the first frames in the movies. To further prove that lateral displacement in early frames is the culprit for loss of information in them, the authors could either use a faster camera (e.g. K3), or lower the dose rate to reduce the effective amount of movement in these frames. The 'rapid burst' they mention would lead to not only side movement of the particles in vitrified water, but also to rotations and tilts of the particles, which is difficult to account for using existing motion-correction programs, at least in the first stages of image processing.

It looks like the authors either had extensive discussions or arguments with Dr. C. Russo or his group and therefore wanted to prove their point in the manuscript. They even checked the validity of Naydenova et al. 2020 statement that "HexAuFoil" grids allowed to restore information from early frames in DDD movies. I would leave that part of the manuscript; it does not prove Dr. C. Russo wrong but leaves wrong impression on readers.

Specific points:

English in general could be improved

Their statement (lines 114-119, page 4) that the data show vitrification stress being proportional to cryogen temperature used for vitrification may not be correct, it is just their observation that overall quality of early frames becomes better at higher cryogen temperatures, or at a certain distance from tweezers tips.

The phrase (line 152) that 'pink' region in Figure 1 represents "minimal cooling rate" for vitrification is imprecise since according to authors the cooling rate will vary within that region depending on distance from the rim of a grid, and from tweezers tips. It should probably say 'lower cooling rate' compared to closer to tips/rim areas.

Last paragraph (lines 176-186) on page 6: again, some quantification is required, where these 'light blue' regions were relative to tweezer tips, or how far were they from the rim of the grid; otherwise it is difficult to understand the difference between these areas and 'conventional freezing' grids.

The authors could cite A. Bartesaghi, A. Merk, S. Banerjee, D. Matthies, X. Wu, J. L. S. Milne, and S. Subramaniam 2.2 Å resolution cryo-EM structure of β-galactosidase in complex with a cell-permeant inhibitor. Science. 2015 Jun 5; 348(6239): 1147-1151.doi: 10.1126/science.aab1576 in addition to other references (line 233, page 8)

Discussion:

First phrase is inaccurate, in addition to reduced stress during vitrification (which is still not determined in the study) there could be different factors, e.g. specimen charging under the beam could depend on freezing conditions or other factorscould vary as well. Overall structure of the grids frozen with higher cryogen temperature could different.

How did authors measure ice thickness in their grids (lines 267-272; Table 1)? What was microdroplet thickness in J. Dubochet's case?

It is authors speculation that lower cooling rate freezing would cause better equilibration of "the expansion of the vitreous ice" and "produce stress-free vitreous ice". It is natural to suggest that, but they would need to prove it one way, or another

Methods:

Make terminology consistent: 'plum region and cyan region', 'pink' before (line 363)

Line 570: "porous" -> change to "holey". Although porous is technically correct term, but people usually call that "holey film" in cryo-EM.

What was the reason to use different support film types in addition to changing temperature and tweezers position? That makes it more confusing for reader, too many variables. C-film, Cu grids; Au grids, NiTi film; ANTA grids?

Figure 3: Why is panel A there? What does it have to do with temperature effect on freezing? Do exposures in the legend refer to per-frame exposures? How different "exposure" is from "fluence"?

Figure 4: Panels A and B are quite different; it is probably a good idea to make them into separate Figures. In panel B: "the red and blue straight lines were fitted from the linear sections", what does that mean? I did not see any 'dotted line' in the panel.

Table 1: What does it mean "control" in the "temperature" column? What is "D" and "h"? that was defined in the main text, but would be helpful to remind reader what they were. Why 'D' is in 'um' and 'h' is in 'nm'? How could resolution difference between a per-frame reconstruction, and the best per-frame resolution be negative number? Why in the first line (apoferritin frozen at -183C) differences are zero? What does it mean "control" temperature?

Data availability - have to specify the IDs for deposited data, none provided

VLP: which one? VLP in general means viral particles without packaged genome, many viruses could form VLPs, need to specify what was used in this particular case.

Supplementary data

Table S1: Same as in Table 1 - "control" temperature? Again, not to introduce more variables, why did authors needed to use different support films, different data collection methods, worked with- and without energy filter? What does it mean "GIF (eV)"?

Figure S1. What does it mean "without adding extra contract between tweezers and grids"?

Figure S2 has to be modified or deleted; the authors did not use any temperatures near zero °C and that error curve is confusing. Such "fitting" cannot be done from 4 measurements where three of them are close to each other at one end of the curve, and the fourth is miles away at the other end.

Table S2: I am not sure how precise their temperature measurements were, but most likely not to the second decimal point. In any case, that precision is redundant because the variation between same type of cryo-plungers would be much larger than even 1°C and would also depend on location of the plunger and local temperature/humidity/air circulation variation in the room. Plus, it would be difficult for experimentalists to setup the conditions with that precision. Moreover, is that important for this kind of experiments?

What is DPS? My understanding is that was abbreviation taken from a published paper, the authors should be responsible for explanation of all terms used in the text, so they have to introduce all abbreviations used in the manuscript.

Review: Low-cooling-rate freezing in biomolecular cryo-electron microscopy for recovery of initial frames — R1/PR4

Conflict of interest statement

Reviewer declares none.

Comments

Comments to Author: The authors did improve the manuscript and changed the text and Figures according to reviewers comments. Even though I can still find statements with unclear clear meaning in the text, e.g.: "Crystalline ice is a stable phase with the lowest energy. Therefore, when water is frozen at a low cooling rate, the molecules have more time to migrate to equilibrium positions, which may produce less stress.", I think those could be corrected by Journal editors and/or clarified by the authors. The manuscript in general reads much better now. I think it is ready to be accepted now.

Review: Low-cooling-rate freezing in biomolecular cryo-electron microscopy for recovery of initial frames — R1/PR5

Conflict of interest statement

Reviewer declares none.

Comments

Comments to Author: The authors have addressed all my concerns. Current manuscript has been improved a lot. I have no more concerns and recommend this work for publication.

Kaiming Zhang

Recommendation: Low-cooling-rate freezing in biomolecular cryo-electron microscopy for recovery of initial frames — R1/PR6

Comments

Comments to Author: Reviewer #1: The authors have addressed all my concerns. Current manuscript has been improved a lot. I have no more concerns and recommend this work for publication.

Kaiming Zhang

Reviewer #2: The authors did improve the manuscript and changed the text and Figures according to reviewers comments. Even though I can still find statements with unclear clear meaning in the text, e.g.: "Crystalline ice is a stable phase with the lowest energy. Therefore, when water is frozen at a low cooling rate, the molecules have more time to migrate to equilibrium positions, which may produce less stress.", I think those could be corrected by Journal editors and/or clarified by the authors. The manuscript in general reads much better now. I think it is ready to be accepted now.