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Research Article
J. Roberto Romero-Arias
Institute for Research in Applied Mathematics and Systems, UNAM
Corresponding Author
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We propose a three-dimensional mathematical model to describe dynamical processes of membrane fission. The model is based on a phase field equation that includes the Gaussian curvature contribution to the bending energy. With the addition of the Gaussian curvature energy term numerical simulations agree with the predictions that tubular shapes can break down into multiple vesicles. A dispersion relation obtained with linear analysis predicts the wavelength of the instability and the number of formed vesicles. Finally, a membrane shape diagram is obtained for the different Gaussian and bending modulus, showing different shape regimes.
Keywords
Gaussian, fission, modulus, evolution
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The full text of this article is available to read as a PDF.
No competing interests reported.
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CURRENT STATUS: Under Review
Version 1
Posted 04 Feb, 2021
No community comments so far
Editorial decision: Major revision
On 17 Feb, 2021
Reviews received
Received 11 Feb, 2021
Reviewers agreed
On 03 Feb, 2021
Reviewers invited
Invitations sent on 03 Feb, 2021
Editor assigned
On 01 Feb, 2021
Editor invited
On 01 Feb, 2021
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On 01 Feb, 2021
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On 26 Jan, 2021
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This preprint is under consideration at Scientific Reports. A preprint is a preliminary version of a manuscript that has not completed peer review at a journal. Research Square does not conduct peer review prior to posting preprints. The posting of a preprint on this server should not be interpreted as an endorsement of its validity or suitability for dissemination as established information or for guiding clinical practice.
Learn more about In Review
Research Article
J. Roberto Romero-Arias
Institute for Research in Applied Mathematics and Systems, UNAM
Corresponding Author
Badges
Prescreen
This manuscript passed our Prescreen assessment
Complete author information
Appropriate declaration statements
Potential risks to human health
Prescreen
Peer Review Timeline
CURRENT STATUS: Under Review
Version 1
Posted 04 Feb, 2021
No community comments so far
Editorial decision: Major revision
On 17 Feb, 2021
Reviews received
Received 11 Feb, 2021
Reviewers agreed
On 03 Feb, 2021
Reviewers invited
Invitations sent on 03 Feb, 2021
Editor assigned
On 01 Feb, 2021
Editor invited
On 01 Feb, 2021
Submission checks complete
On 01 Feb, 2021
First submitted
On 26 Jan, 2021
Metrics
Comments: 0
PDF Downloads: ...
HTML Views: ...
License:
This work is licensed under a CC BY 4.0 License. Read Full License
We propose a three-dimensional mathematical model to describe dynamical processes of membrane fission. The model is based on a phase field equation that includes the Gaussian curvature contribution to the bending energy. With the addition of the Gaussian curvature energy term numerical simulations agree with the predictions that tubular shapes can break down into multiple vesicles. A dispersion relation obtained with linear analysis predicts the wavelength of the instability and the number of formed vesicles. Finally, a membrane shape diagram is obtained for the different Gaussian and bending modulus, showing different shape regimes.
Figure 1
Figure 2
Figure 3
Figure 4
Figure 5
The full text of this article is available to read as a PDF.
No competing interests reported.
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