5 papers
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…
On reaction network implementations of neural networks
David F. Anderson, Badal Joshi, Abhishek Deshpande
This paper is concerned with the utilization of deterministically modeled chemical reaction networks for the implementation of (feed-forward) neural networks. We develop a general…
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…