Uncovering interactions between genes, gene networks, is important to increase our understanding of intrinsic cellular processes and responses to external stimuli such as drugs. Gene networks can be computationally inferred from repeated measurements of gene expression, using algorithms, which assume that each gene is controlled by only a small number of other proteins. Here, by extending the t...

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...

We develop a model-independent reduction method of chemical reaction systems based on the stoichiometry, which determines their network topology. A subnetwork can be eliminated systematically to give reduced system with fewer degrees freedom. This removal is accompanied by rewiring network, prescribed Schur complement stoichiometric matrix. Using homology and cohomology groups characterize topo...