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Article
Peer-Review Record

Mathematical Model of Pancreatic Cancer Cell Dynamics Considering the Set of Sequential Mutations and Interaction with the Immune System

Mathematics 2022, 10(19), 3557; https://doi.org/10.3390/math10193557
by Alexander S. Bratus 1,2,*, Nicholas Leslie 3, Michail Chamo 1, Dmitry Grebennikov 4,5,6, Rostislav Savinkov 4,5,7, Gennady Bocharov 4,5,7 and Daniil Yurchenko 8
Reviewer 1:
Mathematics 2022, 10(19), 3557; https://doi.org/10.3390/math10193557
Submission received: 30 August 2022 / Revised: 22 September 2022 / Accepted: 26 September 2022 / Published: 29 September 2022
(This article belongs to the Special Issue Advances in the Mathematics of Ecological Modelling)

Round 1

Reviewer 1 Report


Comments for author File: Comments.pdf

Author Response

Please see the attachment.

Author Response File: Author Response.docx

Reviewer 2 Report

Dear authors,

The following is a review report for the paper under title "Mathematical model of pancreatic cancer cell dynamics considering the set of sequential mutations and interaction with the immune system". 

In my opinion the paper is interesting, wellwritten and exposed. My overall recommendation is acceptance after the following minor points:

1) In line 37, I am not sure if "...has spread remains..." is correct.

In line 127, I am not sure if the word "...both..." is correct.

2) It may of interest to discuss further why the authors considered a purely evolution equation involving the first derivative with time. There exist other models based on reaction-diffusion equations involving parabolic PDEs. Then, I suggest the authors to cite the model to make the introduction further complete. 

 https://doi.org/10.3390/math10071186

3)  In Section 3, the computational experiment should be further described. In particular the following information should be discussed: The kind of algorithm used, the software, the number of nodes, the global computational requested error and any other relevant information encountered. 

After having checked the involved mathematics, I found the assessments well described and with sufficient level of information.

Best regards.

 

Author Response

Please see the attachment.

Author Response File: Author Response.docx

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