Reachability, Persistence, and Constructive Chemical Reaction Networks

I have just completed a paper titled Reachability, Persistence, and Constructive Chemical Reaction Networks. The paper is available at http://math.gillesgnacadja.info/files/ConstructiveCRNT.html.

This post represents my first experimentation with blogging. The plan is to blog on mathematics and systems biology topics that I find very intriguing and like cogitating about. As with most hobbies however, there are time constraints. I do not have much time for such cogitation and I expect to have even less time for blogging. I welcome and intend to respond to all comments, but I will often be unable to respond in a timely fashion.

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One Response to Reachability, Persistence, and Constructive Chemical Reaction Networks

  1. I have revised the paper “Reachability, Persistence, and Constructive Chemical Reaction Networks” and the new version is available at the same address http://math.gillesgnacadja.info/files/ConstructiveCRNT.html. Here is what’s new.
    * What used to be Section 3, “Reachability and Persistence” is now in two sections:
    ** Section 3, “On the Positivity and Nullity of Species Concentrations”; and
    ** Section 4, “Reachability Approach to Persistence”.
    The new section 3 presents Vol’pert’s Theorem and some immediate consequences of general interest. The new section 4 discusses (vacuous) persistence using tools from the new section 3.
    * A simple equivalent formulation of vacuous persistence for conservative networks (Proposition 4.2).
    * Several new explanatory pieces throughout the paper.

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