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Author response: Indeed, stochastic implications of rare random events cannot be understood within the framework of this paper because the models are deterministic.
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While the distributional approach of this paper is timely and expands the range of model behaviors, it remains a continuous, deterministic treatment and the stochastic implication of rare events stemming from the tails of distributions can not be understood.
This result has implications for stochastic optimization in high-dimensional spaces, peer-to-peer distributed optimization schemes, and stochastic optimization problems over combinatorial spaces.
This mechanism of C-terminal phase variation has implications for stochastic switching of protein sequence in bacterial species that already undergo transcriptional and translational phase variation.
In this issue of BMC Biology, for example, Dingli and Pacheco [ 10] discuss the implications of stochastic stem-cell dynamics on the accumulation of mutations in stem-cell populations.
Therefore, stable gut diversity may be driven by inherently stochastic processes, which has important implications for combatting infectious diseases and for stably establishing probiotics in the gut.
Discuss scientific and philosophical differences between preordained and stochastic, contingent events, and their implications for evolution.
The limitations of these traditional approaches for nonlinear HRV analysis have led to repeated failures to detect chaos in HRV [24], [25], [26] and lingering controversy as to whether HRV is truly chaotic with strong pathophysiological implications, or sheer stochastic with few mechanistic insights demonstrable beyond the purportedly linear HF and LF peaks [23], [27].
What are the physiological implications of this stochastic outcome?
Another report presents a Markov chain Monte Carlo simulation in which, in contrast with common cohort modelling, virtual patients are simulated on an individual level with the implication of a stochastic process (i.e. a micro-simulation).
A further implication is that various stochastic effects, both instrumental and biological, give rise to an overall intensity dependent noise [ 36- 38].
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CEO of Professional Science Editing for Scientists @ prosciediting.com