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To qualitatively estimate the error incurring from the dimension reduction, we compared diffusive signal progression in one and three spatial dimensions for a simplified diffusion scenario (Additional File 2).
Thus, if anything, therapeutic levels of m1AChR occupancy may be achieved with even lower plasma concentrations and hence lower incidence of adverse events, than those in the passive diffusion scenario.
An error estimation for diffusive signal progression in one and three spatial dimensions was performed for a simplified diffusion scenario (Additional File 2).
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Due to the nonlocal properties of a fractional differential operator, fractional partial differential equations have already been proved to be highly effective in depicting those anomalous diffusion scenarios.
This study proposes a novel approach for a local society to design effective diffusion scenarios for distributed energy systems, namely, the integrated planning of two design problems: the design of low-voltage power grid systems and the design of subsidy systems for the introduction of photovoltaic systems.
Simulation results revealed that pattern formation in a fractional medium is practically the same as in classical reaction-diffusion scenarios.
Reconstructing programmable cellular functions, from assembly of protein/nucleic-acid machines to spatially distributed systems, requires implementing minimal systems of molecular interactions encoded in genes, source-sink protein expression dynamics, and materials platforms for reaction-diffusion scenarios.
This would mean that for many reaction-diffusion scenarios one can roughly expect three orders of magnitude shorter computation times.
Here, we will explore ten different reaction-diffusion scenarios (see Figure 2 for Scenarios 1-9) to show both the applicability and limits of our methodology.
We also confirm the fact (mentioned above) that population history played an important role in shaping the lactase persistence distribution in Europe, since the demic diffusion (DD) scenario associated to the cal selection model is the most compatible with the observed data (>99%).
In such a scenario diffusion of hydrocarbonaceous surface species is an essential step in the overall reaction sequence.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com