4 papers · 1 filter
Autocatalytic systems and recombination: a reaction network perspective
Gheorghe Craciun, Abhishek Deshpande, Badal Joshi +1
Autocatalytic systems are very often incorporated in the "origin of life" models, a connection that has been analyzed in the context of the classical hypercycles introduced by Manf…
Autocatalytic Networks: An Intimate Relation between Network Topology and Dynamics
Badal Joshi, Gheorghe Craciun
We study a family of networks of autocatalytic reactions, which we call hyperchains, that are a generalization of hypercycles. Hyperchains, and the associated dynamical system call…
Detailed balance = complex balance + cycle balance. A graph-theoretic proof for reaction networks and Markov chains
Stefan Müller, Badal Joshi
We further clarify the relation between detailed-balanced and complex-balanced equilibria of reversible chemical reaction networks. Our results hold for arbitrary kinetics and also…
Complete characterization by multistationarity of fully open networks with one non-flow reaction
Badal Joshi
This article characterizes certain small multistationary chemical reaction networks. We consider the set of fully open networks, those for which all chemical species participate in…