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In this review, we present both mathematical models and empirical evidence for these divergent points of view.
Therefore, we give an overview of both mathematical models and mechanisms in distributed systems that were designed after them.
Logic diagrams are presented for the design of pneumatic conveying systems based on the use of both mathematical models and conveying data.
As such, this defining characteristic could be applied to both mathematical models and actual-world systems, though the identification of such mechanisms in target systems may be rather tricky.
We chose to pursue our investigations here using low-frequency US (0.44 0.67 MHz) since both mathematical models and experimental data indicate the optimal gain between transcranial transmission and brain absorption for US is ∼0.60 0.70 MHz [25], [26].
There is a real need to unravel and understand the cellular and molecular biology of glioblastoma multiforme, and these advances have to go hand in hand with both mathematical models and experimental progress.
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In this paper, we use both mathematical modeling and simulation to explore homeostasis of peripheral immune system effector cells, particularly alveolar macrophages.
Notwithstanding this point, previous studies reported that, when used, both mathematical modeling and genotyping approaches yielded comparable results [ 21, 40].
Gaudet et al. showed by both mathematical modelling and experimental measurements that critical thresholds of Bcl-2 exist beyond which cells suddenly lose their capacity to undergo MOMP.
In this paper, we explore from the perspective of the cellular regulatory network, using both mathematical modeling and publicly available experimental data, how a transcriptomic heterogeneity surge may come about.
This behavior is compatible with the 10- to 20-min time constant for VCO2 equilibration, supported by both mathematical models of VCO2 storage and transport [28] and experimental data [27].
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both mathematical modelling and
both empirical models and
both foreign models and
both mathematical astronomers and
both mathematical representations and
both mathematical derivations and
both preclinical models and
both discrete models and
both statistical models and
both spectral models and
both mathematical tools and
both mathematical functions and
both synthetic models and
both hydrological models and
both cellular models and
both appropriate models and
both mathematical proofs and
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