Results 21 to 30 of about 10,873 (133)

A sharp threshold for a modified bootstrap percolation with recovery [PDF]

Journal of Statistical Physics, Volume 157, Issue 3 (2014), pp 531-570, 2015
Bootstrap percolation is a type of cellular automaton on graphs, introduced as a simple model of the dynamics of ferromagnetism. Vertices in a graph can be in one of two states: `healthy' or `infected' and from an initial configuration of states, healthy vertices become infected by local rules.
arxiv   +1 more source

PDE model for multi-patch epidemic models with migration and infection-age dependent infectivity [PDF]

arXiv, 2023
We study a stochastic epidemic model with multiple patches (locations), where individuals in each patch are categorized into three compartments, Susceptible, Infected and Recovered/Removed, and may migrate from one patch to another in any of the compartments.
arxiv  

An age-of-infection model with both symptomatic and asymptomatic infections [PDF]

arXiv, 2021
We formulate a general age-of-infection epidemic model with two pathways: the symptomatic infections and the asymptomatic infections. We then calculate the basic reproduction number $\mathcal{R}_0$ and establish the final size relation. It is shown that the ratio of accumulated counts of symptomatic patients and asymptomatic patients is determined by ...
arxiv  

On the Universality of Jordan Centers for Estimating Infection Sources in Tree Networks [PDF]

, 2014
Finding the infection sources in a network when we only know the network topology and infected nodes, but not the rates of infection, is a challenging combinatorial problem, and it is even more difficult in practice where the underlying infection spreading model is usually unknown a priori. In this paper, we are interested in finding a source estimator
arxiv   +1 more source

Spatially dense stochastic epidemic models with infection-age dependent infectivity [PDF]

arXiv, 2023
We study an individual-based stochastic spatial epidemic model where the number of locations and the number of individuals at each location both grow to infinity. Each individual is associated with a random infection-age dependent infectivity function. Individuals are infected through interactions across the locations with heterogeneous effects.
arxiv  

A re-entrant phase transition in the survival of secondary infections on networks [PDF]

, 2018
We study the dynamics of secondary infections on networks, in which only the individuals currently carrying a certain primary infection are susceptible to the secondary infection. In the limit of large sparse networks, the model is mapped to a branching process spreading in a random time-sensitive environment, determined by the dynamics of the ...
arxiv   +1 more source

Sequence-based study of two related proteins with different folding behaviors [PDF]

Proteins 54 (2004) 8-12, 2003
ZSPA-1 is an engineered protein that binds to its parent, the three-helix-bundle Z domain of staphylococcal protein A. Uncomplexed ZSPA-1 shows a reduced helix content and a melting behavior that is less cooperative, compared with the wild-type Z domain.
arxiv  

Statistical Mechanics Model for Protein Folding [PDF]

arXiv, 2010
We present a novel statistical mechanics formalism for the theoretical description of the process of protein folding$\leftrightarrow$unfolding transition in water environment. The formalism is based on the construction of the partition function of a protein obeying two-stage-like folding kinetics.
arxiv  

Identifying Infection Sources and Regions in Large Networks [PDF]

, 2012
Identifying the infection sources in a network, including the index cases that introduce a contagious disease into a population network, the servers that inject a computer virus into a computer network, or the individuals who started a rumor in a social network, plays a critical role in limiting the damage caused by the infection through timely ...
arxiv   +1 more source

The contact process with semi-infected state on the complete graph [PDF]

arXiv, 2017
In this paper we are concerned with the contact process with semi-infected state on the complete graph $C_n$ with $n$ vertices. In our model, each vertex is in one of three states that `healthy', `semi-infected' or `wholly-infected'. Only wholly-infected vertices can infect others. A healthy vertex becomes semi-infected when being infected while a semi-
arxiv