Foundations of Chemical Reaction Network Theory pp 399-417 | Cite as

# Concentration Robustness Foundations

## Abstract

In this chapter we will discuss the mathematical foundations of theorems presented without proof in Chapter 9, the expository chapter on concentration robustness. For proof of the Deficiency One Concentration Robustness Theorem (Theorem 9.5.1), most of the work was already done in the preceding chapter; there are just a few details that remain. Again, Theorem 9.5.1 was based on work with Guy Shinar [155]. We will need to say much more about the two theorems—Theorems 9.6.1 and 9.6.6—that assert the irrelevance of certain rate constants to the robust species concentration. Finally, we will make just a few remarks about the robustness-thwarting theorems, Theorems 9.7.1 and 9.7.10. Proofs of those were provided in [154].

## References

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