By Antônio José da Silva Neto, Orestes Llanes Santiago, Geraldo Nunes Silva
This publication brings jointly a wealthy collection of stories in mathematical modeling and computational intelligence, with application in numerous fields of engineering, like automation, biomedical, chemical, civil, electric, digital, geophysical and mechanical engineering, on a multidisciplinary approach. Authors from 5 nations and sixteen diversified learn facilities give a contribution with their services in either the basics and actual difficulties purposes established upon their powerful historical past on modeling and computational intelligence. The reader will locate a wide number of purposes, mathematical and computational instruments and unique effects, all provided with rigorous mathematical procedures.
This paintings is meant to be used in graduate classes of engineering, utilized arithmetic and utilized computation the place instruments as mathematical and computational modeling, numerical tools and computational intelligence are utilized to the answer of actual problems.
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Additional resources for Mathematical Modeling and Computational Intelligence in Engineering Applications
We expect that inquiries about the cytoskeleton can be significantly enhanced if their physico-chemical behavior is concealed and summarized in mathematical and computational models that can be coupled to concepts of biological regulation. Our computational modeling concerns the mechanical aspects associated with the dynamics of relatively simple, finger-like membrane protrusions called filopodia. Here we propose an alternative approach for representing the displacement of molecules and cytoplasmic fluid in the extremely narrow and long filopodia and discuss strategies to couple the particle-in-cell method with algorithms for laminar flow to model the two phases of actin dynamics: polymerization into filaments which are pulled back into the cell and compensatory G-actin drift towards its tip to supply polymerization.
The need for the quantification of the morphometry of the AAA in each case under examination is, therefore, evident; and this quantification can constitute a valid method to make personalized assessment of the risk of rupture. Definitely, the wall stress, by itself, is not a sufficient factor to predict the risk of rupture. Consideration must also be given to the local estimation of the arterial wall strength. From a purely mechanical perspective, the AAA rupture occurs when the stress on the internal wall of the aneurysm overcomes the capacity of the arterial 1 Preliminary Correlations for Abdominal Aortic Aneurysms Rupture Risk 3 tissue to resist to this stress.
The expression (3) yields C ! C0 when L ! 0, ensuring that Np D 110 N for a concentration close to that at the base of filopodia. 32 %. In comparison, when setting the filopodial length interval to L 2 Œ0:5; 2 m, diffusion seems ineffective in just 15 % of cases. This result suggests that diffusion alone is not sufficient in many scenarios, especially when reaching filopodial lengths beyond 1:5 M, and when N is greater than 21. Other reports agree with our view. For example, Monte Carlo simulations were used to investigate G-actin translocation during protrusion of the leading edge leading to the conclusion that diffusion alone was insufficient .
Mathematical Modeling and Computational Intelligence in Engineering Applications by Antônio José da Silva Neto, Orestes Llanes Santiago, Geraldo Nunes Silva