Sentence examples for both stochastic and spatial from inspiring English sources
The method offers a number of advantages over existing compressive sensing methods in gPC literature, such that it recovers possible sparse structures in both stochastic and spatial domains while the resulting expansion can be re-used directly to economically obtain results at any spatial input values.
When both stochastic fluctuations and spatial inhomogeneity must be included in a model simultaneously, the resulting computational demand quickly becomes overwhelming.
A stochastic and spatial simulation model was developed to simulate the spread of classical swine fever virus among herds in a certain area.
The results demonstrate under different stochastic and spatial scenarios how the evolution of dispersal alleviates kin competition when it originates from the population renewal process as an emergent property.
The models for those systems are, by necessity, stochastic and spatial.
Thus, the proposed method should have applications to multi-scale modelling of the real biological systems allowing for enzyme intermediates, stochastic and spatial effects inside a cell.
Stochastic and spatial data on the aforementioned sequence motifs that may modify chromatin structure and affect transcription are essential for understanding the nature of regulatory complexity in higher organisms.
Subsequent papers have extended this model up to four types of cells (Dingli et al, 2009; Basanta et al, 2008a, 2008b, 2011; 2012; Gerstung et al, 2011) and allowed stochastic and spatial effects (Bach et al, 2003).
The stochastic model and spatial shedding data both suggest that there is diffuse dispersal of virus from neurons into genital epithelia, rather than focal reactivations only within certain microregions.
Other types of differential equations, such as stochastic differential equations (SDEs) and partial differential equations (PDEs) can be used respectively to account for stochastic effects and spatial distribution (Turner et al. 2004).
Synaptic transmission exemplifies cellular interactions in which stochastic behaviors and spatial complexity are very important.
