The mathematical model confirmed the experimental findings whereby the fractal dimension of the clusters is size dependent, that is, larger systems are more discontinuous than smaller.
Our hypothesis is strengthened further by a mathematical model proposed by Hori and Gambhir [12] whereby an ovarian tumor may grow for 10.6 years before attaining a size of 10.52 mm3 before it starts to shed just enough CA125 antigen (1.5 U/mL) detectable by immunoassay methods used in the clinic.
The good agreement between the experimental data and the mathematical model presented here supports a processive mechanism whereby multiple free GABs of the tetrameric VASP capture actin monomers from solution and transfer them onto the filament tip, which is similar to the filament end-tracking mechanism (Dickinson et al, 2004).
In this paper, a mathematical model based on data envelopment analysis is developed for this purpose, whereby two types of weights are employed: subjective judgmental weights which are provided as input, and objective which constitute the output of the model.
Our results allowed us to develop a quantitative mathematical model for an affinity based, WH2-domain-mediated actin assembly used by Ena/VASP proteins, whereby the filament elongation rate is correlated to the saturation of the GAB with actin monomers.
According to a "simple mathematical model" published this week, the rising rate of caesarean sections could be explained by an evolutionary trend whereby the procedure itself perpetuates small pelvises in women.
During model development, when fitting a PKPD model to data from in vitro and/or in vivo sources, there will always be some element of 'noise' whereby the model does not fit the exact data points, since by definition a mathematical model is a simplification of reality.
His technique involved a mathematical model called autocorrelation.
Mr. Freeman, 44, uses a computer-based mathematical model.
Mathematical model, either a physical representation of mathematical concepts or a mathematical representation of reality.
