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Jeffmoonchop

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**Homework Statement::**Not homework, but I want to calculate the probability of different size spheres traveling through different size pores.

**Relevant Equations::**V=4/3πr^3 volume of sphere. Volume of 60nm diameter particle = 1.13x10^5 nm^3. Volume of 70nm particle = 1.8x10^5 nm^3

Hi all, this is in relation to biotech. I develop lipid nanoparticle delivery vehicles for mRNA delivery. There is a biological barrier for delivery to the liver known as sinusoidal fenestrae. Pores that vary in size from 80-120nm. We know that smaller particles are more likely to go through these pores. But I want to know how much more likely for example, a 60nm particle will fit through a 80nm pore vs a 70nm particle. Basically shooting a basketball through the hoop compared to a baseball.

The problem is probably complex, as there are many variables, such as direction of travel, media current, positive pressure gradients etc.

You can see that the volume of a 60nm particle is 61% of the volume of a 70nm particle. I'm unsure if we need to use momentum, as mass is obviously a lot greater for a 70nm particle, momentum means its less likely to be moved by outward forces towards the pore.

Or if we only need diameter? I should probably note, the pores are less of a hoop, but a slight tunnel, around 5nm long. Appreciate any help. Thanks