Where to start with modelling the distribution of particles over time?

Hello, and thank you for looking at my question!

I would like to build a model that allows me to predict the location and distribution of lysosomes within a mammalian cell over time. Lysosomes typically cluster around the nucelus but can be encouraged to the cell periphery under different conditions (eg, pH, certain drugs). How can I go about building a model that would allow me to alter different conditions and see how it alters the distribution of lysosomes?

I realise this is a big question and would be grateful of any help at all!