CRISPR screening and systems biology I am not sure how to tackle this one, so I’ll explain the general idea I have in mind. 

Given results of a CRISPR knockout screening experiment (like in this paper) with two types of assays: control vs. treated with 5 time points per each of the assays. 

Is there a way to use the screening data to perform systems biology network analysis? Something which is related to signal transduction, transcriptional regulatory, or metabolic networks? 

Maybe something which uses Bayesian inference? Or something similar to differentially expressed representation of the CRISPR screening? Alternatively, a GWAS analysis similar to this paper?
What do you call screening results?
Do you have a kind of array with protein or RNA data?
If so, you can use several open-source tools available on the internet, like Enrichr or network analyst to better understand the pathways affected by your treatment.