Abstract
This chapter presents a mathematical formulation for the translocation process of a vesicle through a narrow pore. The effect of the deformation of the vesicle while passing through the pore causes a penalty in the free energy, while the existence of an external driving force assists. We formulate the free energy landscape of the vesicle in terms of bending and stretching energy and use Fokker-Plank formalism to calculate the first-passage translocation time. We also address various modifications that can be done to this approach to make it work for different systems.
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References
Mezei MM, Gulasekharam V (1980) Liposomes—a selective drug delivery system for the topical route of administration I: lotion dosage form. Life Sci 26:1473–1477
Wachter C, Vierl U, Cevc G (2008) Adaptability and elasticity of the mixed lipid bilayer vesicles containing non-ionic surfactant designed for targeted drug delivery across the skin. Drug Target 16:611–625
Guo X, Szoka FC (2003) Chemical approaches to triggerable lipid vesicles for drug and gene delivery. Chem Res 36:335–341
Hamid SR, Murugappan M (2016) Translocation of an incompressible vesicle through a pore. J Phys Chem B 120:6102–6109
Deserno M, Gelbart WM (2002) Adhesion and wrapping in colloid-vesicle complexes. Phys Chem B 106:5543–5552
Acknowledgements
This research was supported by NSF Grant No. DMR-1713696 and AFOSR Grant No. FA9550-17-1-0160.
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Shojaei, H.R., Khaleghi Ardabili, A., Muthukumar, M. (2021). Free Energy Minimization for Vesicle Translocation Through a Narrow Pore. In: Fahie, M.A. (eds) Nanopore Technology. Methods in Molecular Biology, vol 2186. Humana, New York, NY. https://doi.org/10.1007/978-1-0716-0806-7_13
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DOI: https://doi.org/10.1007/978-1-0716-0806-7_13
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Publisher Name: Humana, New York, NY
Print ISBN: 978-1-0716-0805-0
Online ISBN: 978-1-0716-0806-7
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