Disease relevance of Stochastic Processes

• Colorectal cancers (CRCs) are characterized by multiple genetic (mutations) and epigenetic (CpG island methylation) alterations, but it is not known whether these evolve independently through stochastic processes [1].
• It appears that stochastic processes strongly influence short-term HIV nef quasispecies evolution in vivo [2].

High impact information on Stochastic Processes

• We also show that Hsp90 influences morphogenetic responses to environmental cues and buffers normal development from destabilizing effects of stochastic processes [3].
• The view is emerging that lymphocytes migrate randomly within lymphoid organs, and that lymphocyte contact with antigen-presenting cells may be a stochastic process rather than one guided by chemokine gradients [4].
• The findings confirm previous observations indicating that intermolecular cross-linking is a stochastic process resulting from random collisions and support a number of other lines of evidence that lactose permease is a monomer [5].
• We give a stochastic process for which the terms of the Riemann zeta function occur as the probability distributions of the elementary random variables of the process [6].
• These results indicate that the DRT/DMC phenotype is not the result of a stochastic process that could occur at any translocation breakpoint or as an epigenetic response to chromosome damage [7].

Biological context of Stochastic Processes

• This indicates that there is no selection for either mtDNA genotype but the segregation of the wild-type mtDNAs and those carrying LHON mutations is a stochastic process governed by random genetic drift [8].

Anatomical context of Stochastic Processes

• Movement of the polypeptide chain through the channel in the endoplasmic reticulum membrane is considered to be a stochastic process which is biased at the lumenal side of the channel by the binding of BiP (Kar2p), a member of the Hsp70 family of ATPases (ratcheting model) [9].

Associations of Stochastic Processes with chemical compounds

• 3) The rate of histamine release is proportional to the amount of releasable histamine remaining in the cells when the amount remaining is small, as expected if release of histamine granules is a stochastic process [10].
• Ca oxalate precipitation is not a stochastic process, suggesting the involvement of specific biochemical and cellular mechanisms [11].
• The exact process by which Ca(2+) sparks terminate is still an open question, although both deterministic and stochastic processes are likely to be important [12].
• It is shown that the quantum paths exhibit a fractal character which remains unchanged in the relativistic domain provided the creation of new particles is avoided, and the Brownian motion remains the stochastic process associated with the quantum paths [13].
• We assumed that the sensory messages received at a given level are transformed by a stochastic process, called Alopex, in a way which maximizes responses in central feature analyzers [14].

Gene context of Stochastic Processes

• A stochastic process model was used to simulate vessel formation and vessel elongation towards a paracrine site, i.e., tumor-secreted basic fibroblast growth factor (bFGF) [15].
• The Ly49 receptor repertoire may be initially generated by a stochastic process that distributes receptors randomly to different cells and treats the two alleles of a given Ly49 gene independently [16].
• We hypothesize that phenotypic differences between NF2 MZ twins are at least partly due to stochastic processes, such as the loss of the second NF2 allele or alleles of other genes [17].
• We introduce the concept of "discrete-time persistence," which deals with zero-crossings of a continuous stochastic process, X(T), measured at discrete times, T=n Delta T [18].
• The CP/MAS (13)C NMR line shape of cellulose I has been qualitatively analyzed by direct simulations using the Ornstein-Uhlenbeck stochastic process and the Kubo model [19].

References