18,367 research outputs found

    Social networks in the single cell

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    Plant mitochondrial DNA (mtDNA) can become damaged in many ways. A major repair mechanism is homologous recombination, which requires an undamaged DNA template. Presumably, this template comes from a different mitochondrion in the same cell. Plant mitochondria undergo fission and fusion to form transient networks which could allow the exchange of genetic information. To test this hypothesis, Chustecki et al. (2022) used msh1 mutants with defective DNA repair, and showed that mitochondrial interactions increased, revealing a link between the physical and genetic behavior of mitochondria

    Stability mapping of bipartite tight-binding graphs with losses and gain: PT−{\cal PT}-symmetry and beyond

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    We consider bipartite tight-binding graphs composed by NN nodes split into two sets of equal size: one set containing nodes with on-site loss, the other set having nodes with on-site gain. The nodes are connected randomly with probability pp. We give a rationale for the relevance of such "throttle/brake" coupled systems (physically open systems) to grasp the stability issues of complex networks in areas such as biochemistry, neurons or economy, for which their modelling in terms of non-hermitian Hamiltonians is still in infancy. Specifically, we measure the connectivity between the two sets with the parameter α\alpha, which is the ratio of current adjacent pairs over the total number of possible adjacent pairs between the sets. For general undirected-graph setups, the non-hermitian Hamiltonian H(γ,α,N)H(\gamma,\alpha,N) of this model presents pseudo-Hermiticity, where γ\gamma is the loss/gain strength. However, we show that for a given graph setup H(γ,α,N)H(\gamma,\alpha,N) becomes PT−{\cal PT}-symmetric. In both scenarios (pseudo-Hermiticity and PT−{\cal PT}-symmetric), depending on the parameter combination, the spectra of H(γ,α,N)H(\gamma,\alpha,N) can be real even when it is non-hermitian. Thus, we numerically characterize the average fractions of real and imaginary eigenvalues of H(γ,α,N)H(\gamma,\alpha,N) as a function of the parameter set {γ,α,N}\{\gamma,\alpha,N\}. We demonstrate, for both setups, that there is a well defined sector of the γα−\gamma\alpha-plane (which grows with NN) where the spectrum of H(γ,α,N)H(\gamma,\alpha,N) is predominantly real.Comment: 10 pages, 9 figure
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