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Article

Electromigration of Aquaporins Controls Water-Driven Electrotaxis

1
Laboratori de Càlcul Numèric (LaCàN), Universitat Politècnica de Catalunya-BarcelonaTech, 08034 Barcelona, Spain
2
Institut de Matemàtiques de la UPC—BarcelonaTech (IMTech), 08028 Barcelona, Spain
3
Department of Mechanical Engineering, Virginia Tech, Blacksburg, VA 24061, USA
*
Author to whom correspondence should be addressed.
Mathematics 2025, 13(18), 2936; https://doi.org/10.3390/math13182936
Submission received: 24 July 2025 / Revised: 31 August 2025 / Accepted: 5 September 2025 / Published: 10 September 2025
(This article belongs to the Special Issue Advances in Biological Systems with Mathematics)

Abstract

Cell motility is a process central to life and is undoubtedly influenced by mechanical and chemical signals. Even so, other stimuli are also involved in controlling cell migration in vivo and in vitro. Among these, electric fields have been shown to provide a powerful and programmable cue to manipulate cell migration. There is now a clear consensus that the electromigration of membrane components represents the first response to an external electric field, which subsequently activates downstream signals responsible for controlling cell migration. Here, we focus on a specific mode of electrotaxis: frictionless, amoeboid-like migration. We used the Finite Element Method to solve an active gel model coupled with a mathematical model of the electromigration of aquaporins and investigate the effect of electric fields on ameboid migration. We demonstrate that an electric field can polarize aquaporins in a cell and, consequently, that the electromigration of aquaporins can be exploited to regulate water flux across the cell membrane. Our findings indicate that controlling these fluxes allows modulation of cell migration velocity, thereby reducing the cell’s migratory capacity. Our work provides a mechanistic framework to further study the impact of electrotaxis and to add new insights into specific modes by which electric fields modify cell motility.
Keywords: cell migration; electrotaxis; aquaporins; water permeation cell migration; electrotaxis; aquaporins; water permeation

Share and Cite

MDPI and ACS Style

Sáez, P.; Kale, S. Electromigration of Aquaporins Controls Water-Driven Electrotaxis. Mathematics 2025, 13, 2936. https://doi.org/10.3390/math13182936

AMA Style

Sáez P, Kale S. Electromigration of Aquaporins Controls Water-Driven Electrotaxis. Mathematics. 2025; 13(18):2936. https://doi.org/10.3390/math13182936

Chicago/Turabian Style

Sáez, Pablo, and Sohan Kale. 2025. "Electromigration of Aquaporins Controls Water-Driven Electrotaxis" Mathematics 13, no. 18: 2936. https://doi.org/10.3390/math13182936

APA Style

Sáez, P., & Kale, S. (2025). Electromigration of Aquaporins Controls Water-Driven Electrotaxis. Mathematics, 13(18), 2936. https://doi.org/10.3390/math13182936

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