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 inflow and outflow, containing one non-flow (reversible or irreversible) reaction. We show that such a network admits multiple positive mass-action steady states if and only if the stoichiometric coefficients in the ...

This work pertains to chemical reaction networks and their equilibria, called steady-states. Our main result states that for a cyclic chemical reaction network, there is a straightforward characterization for when a complex balancing steady state exists. We then extend our results to chemical reaction networks consisting of a closed path traversing each directed edge exactly once.

Markov jump processes are widely used to model interacting species in circumstances where discreteness and stochasticity are relevant. Such models have been particularly successful in computational cell biology, and in this case, the interactions are typically first-order. The Chemical Langevin Equation is a stochastic differential equation that can be regarded as an approximation to the underl...

iintroduction: repetitive transcranial magnetic stimulation (rtms) modulates the excitability of cortical neural networks. the effect of rtms on excitability of cortical networks depends on its frequency. according to the previous reports, a distinction is made between low (<1hz) and high frequencies of rtms. low frequencies of rtms inhibit seizure but high frequencies increase it. in the curre...

The goal of this research was to develop a chemical gas sensing device based on single-walled carbon nanotube (SWCNT) networks. The SWCNT networks are synthesized on Al(2)O(3)-deposted SiO(2)/Si substrates with 10 nm-thick Fe as the catalyst precursor layer using microwave plasma chemical vapor deposition (MPCVD). The development of interconnected SWCNT networks can be exploited to recognize th...

geopolymer cement (inorganic polymeric binder) based on natural pozzolan are investigated. SiOof activator and total molar ratios of Nacomposition exhibiting the highest 28-day compressive strength. Mixtures exhibiting the highest compressive strength were studied for their molecular structure using laboratory technique of Fourier transform infrared spectroscopy.Results obtained confirm that ch...

A new discipline of "systems chemistry" is emerging, which aims to capture the complexity observed in natural systems within a synthetic chemical framework. Living systems rely on complex networks of chemical reactions to control the concentration of molecules in space and time. Despite the enormous complexity in biological networks, it is possible to identify network motifs that lead to functi...