Thank you for making the changes to the manuscript in response to comments by the two reviewers. Please respond to the additional technical comments from Reviewer #1 in your revised manuscript, which I will review prior to final acceptance. Reviewer #1 has also suggested that you add substantially to the the Supplemental Materials by including a description of how to use the MATLAB software you have made available on Github. I fully support this recommendation, as it will substantively increase the value of your work for those who are interested in applying these inversion techniques to their own data. I would say that this doesn't need to be a complete tutorial for a novice; just a clear description of how files must be set up and which routines must be run in which order, and what they do. If there are any aspects of the analysis that are particularly tricky, some step-by-step instructions of those specific instances would be helpful. If you have an example input data file and inversion result with which users could test their implementation of your code, that would be very useful as well.

In addition, please carefully review the References for conformance with Copernicus guidelines (https://www.atmospheric-measurement-techniques.net/for_authors/manuscript_preparation.html). I note that you are not abbreviating journal names as required, nor are you including DOIs. The excellent Copernicus technical staff would catch these, of course, but you might as well fix them now and save them the trouble of creating a long list of corrections.

Thanks for making changes in response to reviewer comments, especially in adding instructions for downloading and using the software in the supplemental materials. The first sentence of the abstract, which should be strong and clear, is still a little awkward. I suggest the following sentence:
Accurate measurements of the size distribution of atmospheric aerosol nano-particles are essential to the understanding of new particle formation and growth.