Series expansion of a sigmoid

I am just curious to know if it is possible to derive a series expansion for the following sigmoid equation:

base + max/(1+exp(H-x/rate))

where the coefficients are base, max, H, and rate.

Would appreciate any insight.

 

Seem like I can infer from the ratio of responses to views that this is not a very feasible concept...? In any case, I would appreciate any type of feedback. I would just like to get an idea of how attainable the derivation is, especially from someone who is knowledgable on applying taylor series expansion to functions.