Studies on the cornin extracted from bovine liver. II. Inhibitory effect of the cornin on DNA synthesis and cell growth of L cells cultured in suspension

Gornin was extracted from bovine liver. The effects of cornin on DNA synthesis were compared with its effects on cell growth using L cells growing in suspension. As the first step of this experiment, a simple method of suspension culture was established with a new modification of YLE medium. Both effects of cornin paralleled with dosage. And the properties of the inhibitory factor of DNA synthesis are the same as those of growth inhibitor in respect to the heat stability and impermeability against dialyzing membrane. The inhibitor of DNA synthesis could not be separated from that of growth by gel filtration with Sephadex G-75.</p

Vanishing of 3-Loop Jacobi Diagrams of Odd Degree

We prove the vanishing of the space of 3-loop Jacobi diagrams of odd degree. This implies that no 3-loop finite-type invariant can distinguish between a knot and its inverse.Comment: 13 pages. Section on the even degree case expanded. Various minor correction

Evolutionary dynamics and fixation probabilities in directed networks

We investigate the evolutionary dynamics in directed and/or weighted networks. We study the fixation probability of a mutant in finite populations in stochastic voter-type dynamics for several update rules. The fixation probability is defined as the probability of a newly introduced mutant in a wild-type population taking over the entire population. In contrast to the case of undirected and unweighted networks, the fixation probability of a mutant in directed networks is characterized not only by the degree of the node that the mutant initially invades but by the global structure of networks. Consequently, the gross connectivity of networks such as small-world property or modularity has a major impact on the fixation probability.Comment: 7 figure