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Biomechanics and Modeling in Mechanobiology

, Volume 17, Issue 4, pp 1131–1137 | Cite as

Fracture mechanics modeling of popping event during daughter cell separation

  • Yuxuan Jiang
  • Xudong Liang
  • Ming Guo
  • Yanping Cao
  • Shengqiang CaiEmail author
Original Paper
  • 179 Downloads

Abstract

Most bacteria cells divide by binary fission which is part of a bacteria cell cycle and requires tight regulations and precise coordination. Fast separation of Staphylococcus Aureus (S. Aureus) daughter cells, named as popping event, has been observed in recent experiments. The popping event was proposed to be driven by mechanical crack propagation in the peripheral ring which connected two daughter cells before their separation. It has also been shown that after the fast separation, a small portion of the peripheral ring was left as a hinge. In the article, we develop a fracture mechanics model for the crack growth in the peripheral ring during S. Aureus daughter cell separation. In particular, using finite element analysis, we calculate the energy release rate associated with the crack growth in the peripheral ring, when daughter cells are inflated by a uniform turgor pressure inside. Our results show that with a fixed inflation of daughter cells, the energy release rate depends on the crack length non-monotonically. The energy release rate reaches a maximum value for a crack of an intermediate length. The non-monotonic relationship between the energy release rate and crack length clearly indicates that the crack propagation in the peripheral ring can be unstable. The computed energy release rate as a function of crack length can also be used to explain the existence of a small portion of peripheral ring remained as hinge after the popping event.

Keywords

Cell division Daughter cell separation Fracture Crack propagation Popping 

Notes

Acknowledgements

S.C. acknowledges the support from Hellman Fellows Fund. Y.J. and Y.P.C. acknowledge the support from the National Natural Science Foundation of China (Grant Nos. 11572179, 11432008) and Tsinghua National Laboratory for Information Science and Technology.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Yuxuan Jiang
    • 1
    • 2
  • Xudong Liang
    • 1
  • Ming Guo
    • 3
  • Yanping Cao
    • 2
  • Shengqiang Cai
    • 1
    Email author
  1. 1.Department of Mechanical and Aerospace EngineeringUniversity of California, San DiegoLa JollaUSA
  2. 2.Department of Engineering Mechanics, Institute of Biomechanics and Medical EngineeringTsinghua UniversityBeijingPeople’s Republic of China
  3. 3.Department of Mechanical EngineeringMassachusetts Institute of TechnologyCambridgeUSA

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