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The second approximates the vector of random parameters in the definition of a stochastic equation by a simple random vector, referred to as stochastic reduced order model (SROM), and uses it to construct a SROM for the solution of this equation.
On the other hand, contact matrices are not fully captured by a simple random mixing assumption, that is typical of large synthetic contact networks built from socio-demographic data [8].
To assess whether such contact matrices could be inferred by a simple random mixing assumption, we generated a contact matrix separately for each household by using the method proposed by Fumanelli et al. [8] (see Additional file 1 for details).
Thus, these observations demonstrate that microglial movements are much better described by Lévy flight, a distribution with "fat tails", than by a simple random walk.
This study comprises 801 non related Caucasian men (n = 433, 54.05%) and women (n = 368, 45.95%) who were recruited by a simple random sampling approach from a cross-sectional population-based epidemiological survey in Spain, aimed to investigate the prevalence of anthropometric and physiological parameters related to obesity and other components of MS [51], [52].
The school was selected by a simple random method.
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We have tested this hypothesis by using a simple random walk model including basic behavioural processes such as a break in feeding activity when two individuals contact each other.
Physicians were selected from a table of random numbers by using a simple random sampling method.
The consumption of KRG or placebo was determined by lot, a simple random sampling.
Selection of participants was performed by using a simple random sampling.
Internal validity was ensured by using a simple random sample so that each participant had an equal chance of selection.
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