flow of lines

hello

I am getting started with a project and I am stuck ...
The problems are :

1)I have some attractor pionts and lines and I want to deformate a geometry of lines and solids using these attractors. I mean to attract or reppell the given geometry towards or against the attractors respectively, and thus create a deformation on the geometry .

2)The second thing is, how can I use attractor points to create a field of attraction which will attract and deformate curves , thus creating some areas with a high density of gathered curves and some others with a low density of curves . More or less like the effect that a magnet would have on linear iron elements ( I uploaded a picture to make sure you understand what I ask for)

I would be grateful if you could give me some tips. Thanks!