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Quantum Walks for Chemical Reaction Networks
arXiv:2509.07890v2 Announce Type: replace-cross Abstract: Near a detailed-balance equilibrium, the perturbed mass-action dynamics of a chemical reaction network (CRN) map exactly onto an electrical-flow problem on the bipartite species-reaction graph: chemical potentials become electrical potentials, Onsager coefficients become conductances, and the instantaneous Gibbs free-energy consumption equals the dissipated electrical energy. We exploit this map to design quantum walk algorithms that...
I designed Microsoft's $5B EA channel architecture in 2001. The 2026 transition is missing what made it work
The Register's reporting on the Microsoft Enterprise Agreement (EA) commission collapse has been the most data-rigorous coverage in the trade press. And the trajectory it documented ($2.5 billion in LSP commissions in 2023, $1.67 billion in 2024, $583 million in 2025, zero in 2026) is the financial signature of a structural transition I have seen before, because I designed the original architecture that is now being retired. Between 1998 and 2001, I was the sole designer of the Enterprise...
An Exponentially stable Extended Kalman Filter with Estimate dependent Process noise Covariance for Chemical Reaction Networks
Announce Type: replace Abstract: Biomolecular systems are often modeled with partially known nonlinear stochastic dynamics, making state and parameter estimation a central challenge. While Kalman filtering techniques are widely used in this setting, their performance critically depends on the choice of the process noise covariance, which is typically assumed constant and heuristically tuned. Such assumptions are not justified for biomolecular systems, where intrinsic noise arises from...