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Ref.:  Ms. No. EPJP-D-14-00013
A Study on Oscillating Second Kind Boundary Condition for Pennes Equation Considering Thermal Relaxation.
The European Physical Journal - Plus

Dear Dr. zhu,

Reviewers have now commented on your paper. You will see that they are advising that you revise your manuscript. If you are prepared to undertake the work required, I would be pleased to reconsider my decision.  

The reviewers' comments can be found at the end of this email or can be accessed by following the provided link.

When revising your work, please submit a list of changes or a rebuttal against each point which is being raised when you submit the revised manuscript.

Your revision is due by 01-04-2014.

To submit a revision, go to http://epjp.edmgr.com/ and log in as an Author. You will see a menu item called 'Submissions Needing Revision'. You will find your submission record there.

Yours sincerely

Paolo Biscari
Associate Editor
The European Physical Journal - Plus

Reviewers' comments:

Reviewer #1: In their paper, authors study the effects of the thermal relaxation, the blood perfusion and the oscillating of ambient heat flux on the living tissue temperature through a 1D Cattaneo-Vernott (CV) model for Pennes' bioheat transfer equation under oscillating second kind boundary condition. They showed that the tissue temperature oscillates in the same period with the ambient heat flow. Investigating the of blood perfusion on the temperature, they obtained, in a special case, that the mean value of excess temperature will reach a steady-state. They have also discussed the effect of relaxation time ¦Ó_{q} on the steady-state temperature.
    The theme discussed in the manuscript is interesting althought the author have limited themselves in the linear case of CV model. The manuscript can then be published in the EPJ-Plus after the authors gave appropriate answers to the below critics.
    1. What is the mean of the abbreviation CV which appears in the abstract (it probably stands for Cattaneo and Vernott)?
    2. Second line of page 2, authors must correct the world Penes which probably stands for Pennes.
    3. In the second line after Eq (2), it should be b etter to write: ¦Ó_{q} ranges from 10⁻¹⁴ to 10⁻⁸ s.
    4. May the authors explain why they stat that the CV model of bioheat transfer is very important (see end of page 2)?
    5. May the authors accurately explain why the insertion of Eq. (2) into Eq. (1) gives Eq. (3)?
    6. I cannot see why after multiplying both sides of Eq. (4) by k, authors have obtained Eq. (10)! Eq. (10) is valid only when k is constant.
    7. ¦¨ introduced after Eq. (12) is not defined

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