18,509 research outputs found
Nullification Writhe and Chirality of Alternating Links
In this paper, we show how to split the writhe of reduced projections of
oriented alternating links into two parts, called nullification writhe, or wx,
and remaining writhe, or wy, such that the sum of these quantities equals the
writhe w, and each quantity remains an invariant of isotopy. The chirality of
oriented alternating links can be detected by a non-zero wx or wy, which
constitutes an improvement compared to the detection of chirality by a non-zero
w. An interesting corollary is that all oriented alternating links with an even
number of components are chiral, a result that also follows from properties of
the Conway polynomial.Comment: AMS-LaTeX, 12 pages with 14 figure
Deriving the respiratory sinus arrhythmia from the heartbeat time series using Empirical Mode Decomposition
Heart rate variability (HRV) is a well-known phenomenon whose characteristics
are of great clinical relevance in pathophysiologic investigations. In
particular, respiration is a powerful modulator of HRV contributing to the
oscillations at highest frequency. Like almost all natural phenomena, HRV is
the result of many nonlinearly interacting processes; therefore any linear
analysis has the potential risk of underestimating, or even missing, a great
amount of information content. Recently the technique of Empirical Mode
Decomposition (EMD) has been proposed as a new tool for the analysis of
nonlinear and nonstationary data. We applied EMD analysis to decompose the
heartbeat intervals series, derived from one electrocardiographic (ECG) signal
of 13 subjects, into their components in order to identify the modes associated
with breathing. After each decomposition the mode showing the highest frequency
and the corresponding respiratory signal were Hilbert transformed and the
instantaneous phases extracted were then compared. The results obtained
indicate a synchronization of order 1:1 between the two series proving the
existence of phase and frequency coupling between the component associated with
breathing and the respiratory signal itself in all subjects.Comment: 12 pages, 6 figures. Will be published on "Chaos, Solitons and
Fractals
Duality, thermodynamics, and the linear programming problem in constraint-based models of metabolism
It is shown that the dual to the linear programming problem that arises in
constraint-based models of metabolism can be given a thermodynamic
interpretation in which the shadow prices are chemical potential analogues, and
the objective is to minimise free energy consumption given a free energy drain
corresponding to growth. The interpretation is distinct from conventional
non-equilibrium thermodynamics, although it does satisfy a minimum entropy
production principle. It can be used to motivate extensions of constraint-based
modelling, for example to microbial ecosystems.Comment: 4 pages, 2 figures, 1 table, RevTeX 4, final accepted versio
- …