Sentence examples for minimal mathematical model from inspiring English sources
Next, a minimal mathematical model was presented and implemented numerically.
We have developed a minimal mathematical model for the probability of rolling adhesion.
We consider self-tolerance and its failure autoimmunity in a minimal mathematical model of the idiotypic network.
To gain systems-level insight on the parameters that influence the observed NF-κB behavior in different cells after TNF-α stimulation, we explored variability and robustness properties of a minimal mathematical model that captures some essential pathway components (see Fig. 3A and Supplementary Information, Fig. S2) [13].
A minimal mathematical model is presented that accounts quantitatively for the experimental observations.
Here we develop a minimal mathematical model to account for all 32 AP variants.
To verify this hypothesis, we constructed 1 D and 2 D minimal mathematical models that take into account auxin and PIN1 concentrations dynamics (see the Methods section).
This means that minimal mathematical models such as those based on Fisher Kolmogorov type equations accounting for GBM progression (Frieboes et al. 2007; Swanson et al. 2008; Bondiau et al. 2008; Eikenberry and Kuang 2009; Konukoglu et al. 2010; Rockne et al. 2010; Pérez-García et al. 2011) may benefit from incorporating the two different phenotypes and necrosis as it is done in this paper.
This "clone-based" modeling approach allows the continued use of optimization models with minimal mathematical programming understanding, as generation of mathematical model by clones is hidden and automatic, therefore maintenance-free: Updating graphical production system models is enough for renewing internal optimization models.
Translating the idea of "minimal lifetime" into a mathematical model leads to a product of the two single compound dose response curves modeled by Eq. (1) as non-synergistic combined effect (Fig. 1b, blue curve); this concept is compatible with Bliss independence.
We have constructed a simple mathematical model with minimal number of parameters able to reproduce the neuroblast activity induced by OGD, both in the absence and presence of PPADS.
