The analysis is applied in the same setting as Fig 9, i.e. stochasticity is introduced in the diffusivity of the morphogens Du and Ds. In the absence of the diffusible activator s, there is a much increased sensitivity to stochasticity for infinitesimal non-vanishing σ. The order measure used is the fidelity of the nearest neighbor distance probability distributions.</p
While most processes in biology are highly deterministic, stochastic mechanisms are sometimes used t...
While most processes in biology are highly deterministic, stochastic mechanisms are sometimes used t...
The process of polarization determines the head and tail of single cells. A mechanism of this kind f...
Here, the variance of the distributions of (a) nearest neighbor distances and (b) nearest neighbor a...
During development of biological organisms, multiple complex structures are formed. In many instance...
During development of biological organisms, multiple complex structures are formed. In many instance...
Stochasticity was introduced in the differential equations by drawing the value of the diffusion coe...
Cluster positions and sizes of ato expressing are shown for increasing noise σ in the diffusivity of...
The threshold response is more pronounced as the length of the eye disc in the direction of the morp...
Distances are naturally binned by the available sites on the underlying hexagonal lattice, whereas a...
While most processes in biology are highly deterministic, stochastic mechanisms are sometimes used t...
The spatial organization of tissues is often determined by long-range signals, morphogens, through t...
The parameter α quantifies the relative importance of stochastic decisions. In: (a) α = 1. This mode...
The spatial organization of tissues is often determined by long-range signals, morphogens, through t...
We examine a spatially discrete reaction-diffusion model based on the interactions that create a per...
While most processes in biology are highly deterministic, stochastic mechanisms are sometimes used t...
While most processes in biology are highly deterministic, stochastic mechanisms are sometimes used t...
The process of polarization determines the head and tail of single cells. A mechanism of this kind f...
Here, the variance of the distributions of (a) nearest neighbor distances and (b) nearest neighbor a...
During development of biological organisms, multiple complex structures are formed. In many instance...
During development of biological organisms, multiple complex structures are formed. In many instance...
Stochasticity was introduced in the differential equations by drawing the value of the diffusion coe...
Cluster positions and sizes of ato expressing are shown for increasing noise σ in the diffusivity of...
The threshold response is more pronounced as the length of the eye disc in the direction of the morp...
Distances are naturally binned by the available sites on the underlying hexagonal lattice, whereas a...
While most processes in biology are highly deterministic, stochastic mechanisms are sometimes used t...
The spatial organization of tissues is often determined by long-range signals, morphogens, through t...
The parameter α quantifies the relative importance of stochastic decisions. In: (a) α = 1. This mode...
The spatial organization of tissues is often determined by long-range signals, morphogens, through t...
We examine a spatially discrete reaction-diffusion model based on the interactions that create a per...
While most processes in biology are highly deterministic, stochastic mechanisms are sometimes used t...
While most processes in biology are highly deterministic, stochastic mechanisms are sometimes used t...
The process of polarization determines the head and tail of single cells. A mechanism of this kind f...