Exact solutions and bounds for network SIR and SEIR models using a rooted-tree approximation.

In this paper, we develop a new node-based approximate model to describe contagion dynamics on networks. We prove that our approximate model is exact for Markovian SIR (susceptible-infectious-recovered) and SEIR (susceptible-exposed-infectious-recovered) dynamics on tree graphs with a single source of infection, and that the model otherwise gives upper bounds on the probabilities of each node being susceptible. Our analysis of SEIR contagion dynamics is general to SEIR models with arbitrarily many classes of exposed/latent state.

Strengthening the occupational and social participation of multiple sclerosis patients - design of a multicenter, parallel-group randomized controlled trial (MSnetWork-study).

Background: Multiple Sclerosis is an autoimmune inflammatory disease of the central nervous system that often leads to premature incapacity for work. Therefore, the MSnetWork project implements a new form of care and pursues the goal of maintaining or even improving the state of health of MS patients and having a positive influence on their ability to work as well as their participation in social life. A network of neurologists, occupational health and rehabilitation physicians, psychologists, and social insurance suppliers provide patients with targeted services that have not previously been part of standard care.

Symmetry-breaking mechanism for the formation of cluster chimera patterns.

The emergence of order in collective dynamics is a fascinating phenomenon that characterizes many natural systems consisting of coupled entities. Synchronization is such an example where individuals, usually represented by either linear or nonlinear oscillators, can spontaneously act coherently with each other when the interactions' configuration fulfills certain conditions. However, synchronization is not always perfect, and the coexistence of coherent and incoherent oscillators, broadly known in the literature as chimera states, is also possible.

First report of Colletotrichum fructicola, C. perseae, and C. siamense causing anthracnose disease of avocado (Persea americana) in New Zealand.

In January and March 2019, an inspection of 11 commercial 'Hass' avocado orchards in mid-North and Tauranga (New Zealand) was conducted by NZ Avocado Growers Association Inc. (NZAGA) and the samples were sent to Plant Diagnostics Limited for investigation of a newly observed fruit staining symptom termed "tannin stain". Fruit symptoms consisted of areas of minute small spots which coalesced into areas of tear staining associated with water movement over the fruit's surface (Supplementary Fig.

Role of modularity in self-organization dynamics in biological networks.

Interconnected ensembles of biological entities are perhaps some of the most complex systems that modern science has encountered so far. In particular, scientists have concentrated on understanding how the complexity of the interacting structure between different neurons, proteins, or species influences the functioning of their respective systems. It is well established that many biological networks are constructed in a highly hierarchical way with two main properties: short average paths that join two apparently distant nodes (neuronal, species, or protein patches) and a high proportion of nodes in modular aggregations.