TABLE 5

Drug insensitivity of signaling cascades due to negative feedback

The response equation of a signaling network with negative feedback (Kholodenko et al., 1997; Bruggeman et al., 2002),
Embedded Image (11)
was introduced in Table 4. When negative feedback occurs, the feedback term Embedded Image is negative. When Embedded Image, which can occur when Embedded Image or Embedded Image, the previous equation can be approximated by:
Embedded Image (12)
This equation represents the slope of the dose-response curve of log D as function of log A. This equation indicates that the response of the output D of a cascade with negative feedback to a change in its input A only depends on the feedback strength, provided the above mentioned conditions are met! This result has remarkable consequences. First, it shows how cells can make their responses to signals insensitive to undesired disturbances that happen in their own signaling networks and affect Embedded Image. Second, the medical consequence is that the effect of drugs, acting on the signaling cascade and changing Embedded Image, will not have a huge effect as long as Embedded Image; in particular in the case of strong negative feedback, when Embedded Image (Sturm et al., 2010a; Fritsche-Guenther et al., 2011).