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Some results of mathematical simulations are presented.
Complex mathematical simulations are performed to understand the various phenomena in physics, chemistry, etc. Usually these models consist of several input variables and sensitivity analysis explains the variation of computer code output due to the changes in the input values.
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Mathematical simulations were conducted through MATLAB.
Experimental validation of mathematical simulations is then performed.
The mathematical simulations were based on the development of a 2DH hydrodynamic model and a quasi 3D sediment transport model.
Mathematical simulations were carried out prior to data collection to ensure the statistical adequacy of the experimental design.
To evaluate the likelihood that a weaker binding affinity was the culprit, mathematical simulations were conducted where the KD for the FXaFVai complex was varied; to fit the empirical data the KD for this complex would have to be greater than 10 nM (data not shown) and as such this adjustment was discarded as a viable option.
To verify that the impaired FVa proteolysis observed under the empirical reaction conditions was not solely due to competition for phospholipid binding sites, mathematical simulations were constructed using the adjusted APC concentration, but without permitting the formation of the FVaPT complex.
Our initial mathematical simulations were carried out utilizing a KD of 0.5 nM [ 45], resulting in an initial concentration of 26 pM for prothrombinase, with off and on rates of 0.2 s-1 and 4.0 x 10 M-1 s-1, respectively (Table 2, Eqn 11) [ 46, 47].
To model the excitability changes in motor axons in patients with spinal muscular atrophy and the effects of altered axonal conductances and passive membrane properties, mathematical simulations were undertaken using a model of the human axon (Bostock et al., 1991, 1995; Kiernan et al., 2005).
A method to calculate VMCG based on mathematical simulation is provided.
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