2 resultados para Differential forms.

em Deakin Research Online - Australia


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Background : The Angiotensin Converting Enzyme (ACE) gene may influence the risk of heart disease and the response to various forms of exercise training may be at least partly dependent on the ACE genotype. We aimed to determine the effect of ACE genotype on the response to moderate intensity circuit resistance training in chronic heart failure (CHF) patients.

Methods :
The relationship between ACE genotype and the response to 11 weeks of resistance exercise training was determined in 37 CHF patients (New York Heart Association Functional Class = 2.3 ± 0.5; left ventricular ejection fraction 28 ± 7%; age 64 ± 12 years; 32:5 male:female) who were randomised to either resistance exercise (n = 19) or inactive control group (n = 18). Outcome measures included VO2peak power output and muscle strength and endurance. ACE genotype was determined using standard methods.

Results :
At baseline, patients who were homozygous for the I allele had higher VO2peak (p = 0.02) and peak power (p = 0.003) compared to patients who were homozygous for the D allele. Patients with the D allele, who were randomised to resistance training, compared to non-exercising controls, had greater peak power increases (ID p < 0.001; DD p < 0.001) when compared with patients homozygous for the I allele, who did not improve. No significant genotype-dependent changes were observed in VO2peak, muscle strength, muscle endurance or lactate threshold.

Conclusion :
ACE genotype may have a role in exercise tolerance in CHF and could also influence the effectiveness of resistance training in this condition.

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In this paper, we present an algorithm for the systematic calculation of Lie point symmetries for fractional order differential equations (FDEs) using the method as described by Buckwar & Luchko (1998) and Gazizov, Kasatkin & Lukashchuk (2007, 2009, 2011). The method has been generalised here to allow for the determination of symmetries for FDEs with n independent variables and for systems of partial FDEs. The algorithm has been implemented in the new MAPLE package FracSym (Jefferson and Carminati 2013) which uses routines from the MAPLE symmetry packages DESOLVII (Vu, Jefferson and Carminati, 2012) and ASP (Jefferson and Carminati, 2013). We introduce FracSym by investigating the symmetries of a number of FDEs; specific forms of any arbitrary functions, which may extend the symmetry algebras, are also determined. For each of the FDEs discussed, selected invariant solutions are then presented. © 2013 Elsevier B.V. All rights reserved.