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Hadrons and Nuclei

EPJ E Highlight - Deflating beach balls and drug delivery

A shell buckles as its internal volume is gradually reduced.

The deflation of beach balls, squash balls and other common objects offers a good model for distortion in microscopic hollow spheres. This can help us understand the properties of some cells and, potentially, develop new drug delivery mechanisms.

Many natural microscopic objects – red blood cells and pollen grains, for example – take the form of distorted spheres. The distortions can be compared to those observed when a sphere is ‘deflated’; so that it steadily loses internal volume. Until now, most of the work done to understand the physics involved has been theoretical. Now, however, Gwennou Coupier and his colleagues at Grenoble Alps University, France have shown that macroscopic-level models of the properties of these tiny spheres agree very well with this theory. The new study, which has implications for targeted drug delivery, was recently published in EPJ E.

Generically, these microscopic objects share their morphology and several other properties with macroscopic thin, spherical shells. Coupier and his team chose to use macroscopic shells as a model because measuring the volumes of and stresses on microscopic shells is extremely challenging from a technical standpoint. Furthermore, macroscopic shells are commercially and quite affordably available. The researchers set up a model system using hollow balls of different sizes and skin thicknesses, ranging from beach balls to squash balls. They were both filled with and submerged in water, and their morphology was observed and pressures measured as some of the water inside was removed.

The apparatus was both simple – it was designed with the help of undergraduate students – and in some ways rather challenging. A manometer used to measure the pressure of 1 atmosphere (the amount of pressure it takes to cause a squash ball to buckle) required a 10-metre-high tube that could only be set up in the lab staircase. The researchers found that the same generic description of buckling that had been predicted theoretically held true in all the varied ‘real-life’ cases tested beyond the range initially expected.

Coupier has found that deflating and inflating microscopic shells can induce directed motion, which could, for example, be used to help target drug delivery to a tumour. He hopes that this new understanding of the mechanics of deflation might allow this motion to be better controlled.

G. Coupier, A. Djellouli and C. Quilliet (2019), Let’s deflate that beach ball, Eur. Phys. J. E 42:129. DOI 10.1140/epje/i2019-11900-2

Editors-in-Chief
David Blaschke, Silvia Leoni and Dario Vretenar
We are grateful to the referees for their very detailed review of our manuscript and for the important remarks and corrections. The referees are very nice experts of the subject of the paper. The manuscript has been revised with our pleasure. Thank you very much for the choice of the referees who were high level experts and kind scientists.

Avazbek Nasirov, Joint Institute for Nuclear Research, Moscow Region, Russian Federation

ISSN (Electronic Edition): 1434-601X

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