So the equation you posted is the force needed for an injection. I wish these papers were made available to the public. We are missing a lot of information on that one. I did search for another paper that was referenced in your paper and this might be more complicated.
Injection forces of concentrated
protein therapeutics are influenced by syringe properties (e.g., needle diameter) and
injection speed, and are driven by solution properties such as rheology. In the present study, it is demonstrated that concentrated
protein therapeutics may show significantly reduced injection forces because of shear-thinning (non-Newtonian) behavior.
If this is a non-Newtonian fluid it makes this more complicated and not being able to read the whole paper makes it worse.