There are some techniques to inhibit those different parts, but I don't know of any that can globally inhibit ALL of the innate/nonspecific response. WIth regard to neutrophils, Journal of Leukocyte Biology. 2008;83:64-70 has a good review. Hope that helps!
However, if you want to reduce all aspects of the innate immune system, I think that the best way would be to systematically reduce the body temperature of the organism and see which of the aspects such as Anatomic barriers Humoral barriers •Complement system •Interleukins Cellular barriers •Neutrophils •Macrophages •Dendritic cells •Natural Killer (NK) cells are impaired first!
Well...I'm sorry I didn't make myself clear, actually I'm wondering what physiological phenomenons can regulate innate immunity, like Treg can suppress adaptive immunity by interfering antigen presenting, but is there any known mechanisms designed to inhibit innate immunity?
It depends on what you want. You can inhibit cytokines, or block receptors by monoclonal antibodies.. mostly these 2 are commonly used in treating autoimmune disorders..
Stress is the major driver of decreased innate immunity. And, cortisol is the primary mediator. Cortisol tends to specifically inhibit M1-type macrophages, so that the immune system becomes M2/Th2 dominant, characterized by elevated allergic type responses