Can you please clarify more about your question, do you mean the diffusion of nano-particles into the cells (through the cell membrane)?

If you are interested in the behaviour of NP in dispersion in cell medium I would advise to look into the ISDD model (Teeguarden) and how the behaviour influences the delivered and cellular dose of the NP.

If you want to learn about how the behaviour influences cellular response I can advise the following papers: The effect of sedimentation and diffusion on cellular uptake of gold nanoparticles, Tuning Cellular Response to Nanoparticles via Surface Chemistry and Aggregation (many more can be found!)

Indeed, there are lots of papers on membrane translocation, endocytosis etc. Was the question about the NP diffusion in extracellular medium around cell, i.e. nearby (alongside or attracting to or repelling from) cellular membrane? In that case, the NP's behaviour nearby cell would be mainly dictated by interaction between its charged surface (if it's electrochemically charged) and the charge of the lipid bilayer. While inside cell, the fate of NP depends on so many factors and events occurred before, during and after endocytosis including (non-mandatory) engulfing inside lysosomes...

Thank you for your answers.

Roman, that is just what I looking for:

"the NP diffusion in extracellular medium around cell, i.e. nearby (alongside or attracting to or repelling from) cellular membrane". Do you know research articles which are describing such experiments (especially such experiments that used nanoparticle tracking)?

Well, Thorsten, there is still a room for more refinement of your question as if NP is far enough (beyond the boundary where electrostatic force between NP and lipid bilayer overcomes the Brownian motion), then NP diffusion is mainly governed by concentration gradients and so on, thus, there is no paper that regards NP and cell interaction. However, I really doubt that you can find a sort of specific paper dedicated to this special case. I guess you'd better search the following

1. adhesion of nanoparticles

2. electrostatic forces nanoparticles lipid bilayer

and so on.

Here are some reviews somewhat relevant to that:

1/ Interaction of Nanoparticles with Cells

Volker Maila ̈nder and Katharina Landfester

2/ Uptake of Engineered Gold Nanoparticles into Mammalian Cells

Lev A. Dykman and Nikolai G. Khlebtsov

3/ Nanoscale tissue engineering: spatial control over cell-materials interactions

Ian Wheeldon, Arash Farhadi, AlexanderEsmaiel Jabbari and Ali Khademhosseini, G Bick