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.

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.

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.