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Stochastic Dynamics of Nanoparticle and Virus Uptake
Felix Frey1, Falko Ziebert1, Ulrich S Schwarz1
1Institute for Theoretical Physics, Heidelberg University, Philosophenweg 19, 69120 Heidelberg, Germany and BioQuant, Heidelberg University, Im Neuenheimer Feld 267, 69120 Heidelberg, Germany.
Cellular uptake of nanoparticles and viruses depends on adhesion energy. Stochastic effects can favor spherical particle uptake over cylindrical ones due to geometry-dependent noise.
Area of Science:
- Biophysics
- Cell Biology
- Nanotechnology
Background:
- Cellular uptake mechanisms are crucial for drug delivery and pathogen entry.
- Particle uptake requires overcoming membrane bending energy, establishing a minimum size for adhesion.
- The role of particle geometry in uptake dynamics is not fully understood.
Purpose of the Study:
- To investigate the influence of particle shape (spherical vs. cylindrical) on cellular uptake rates.
- To analyze the impact of deterministic and stochastic effects on adhesion-driven particle uptake.
- To determine how geometry affects cellular internalization processes.
Main Methods:
- Utilized a deterministic theoretical model to analyze particle-membrane interactions.
- Incorporated stochastic effects to account for small system size phenomena.
- Calculated mean first passage times to quantify uptake rates for different geometries.
Main Results:
- Deterministic theory predicts faster uptake for cylindrical particles compared to spherical ones of equal size.
- Stochastic effects reveal that spherical particles can exhibit faster uptake due to multiplicative noise.
- Uptake rates are significantly influenced by particle geometry and the presence of noise.
Conclusions:
- Stochastic effects in cellular uptake are strongly geometry-dependent.
- While deterministic models favor cylinders, noise can make spheres more efficiently internalized.
- Understanding these geometry-dependent stochastic effects is key for optimizing nanoparticle-based delivery systems.
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