𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Nonlinear Dynamics of the Blood Flow Studied by Lyapunov Exponents

✍ Scribed by Maja Bračič; Aneta Stefanovska

Publisher
Springer
Year
1998
Tongue
English
Weight
319 KB
Volume
60
Category
Article
ISSN
1522-9602

No coin nor oath required. For personal study only.

✦ Synopsis

In order to gain an insight into the dynamics of the cardiovascular system throughout which the blood circulates, the signals measured from peripheral blood flow in humans were analyzed by calculating the Lyapunov exponents. Over a wide range of algorithm parameters, paired values of both the global and the local Lyapunov exponents were obtained, and at least one exponent equaled zero within the calculation error. This may be an indication of the deterministic nature and finite number of degrees of freedom of the cardiovascular system governing the blood-flow dynamics on a time scale of minutes. A difference was observed in the Lyapunov dimension of controls and athletes.

📜 SIMILAR VOLUMES

Nonlinear temporal dynamics of the cereb
Nonlinear temporal dynamics of the cerebral blood flow response
✍ Karla L. Miller; Wen-Ming Luh; Thomas T. Liu; Antigona Martinez; Takayuki Obata; 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 322 KB

## Abstract The linearity of the cerebral perfusion response relative to stimulus duration is an important consideration in the characterization of the relationship between regional cerebral blood flow (CBF), cerebral metabolism, and the blood oxygenation level dependent (BOLD) signal. It is also a

Gelation Studies: Comparison of the Crit
Gelation Studies: Comparison of the Critical Exponents Obtained by Dynamic Light Scattering and Rheology, 2
✍ Sven Richter; Volodymyr Boyko; Rolf Matzker; Klaus Schröter 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 147 KB

## Abstract Summary: The sol–gel transition of two thermoreversible gelling mixtures made of xanthan gum and locust‐bean gum has been studied by using in situ, time‐resolved dynamic light scattering (DLS) and in situ rheology. A critical dynamical behavior was observed near the sol–gel transition,

Gelation Studies on a Radical Chain Cros
Gelation Studies on a Radical Chain Cross-Linking Copolymerization Process: Comparison of the Critical Exponents Obtained by Dynamic Light Scattering and Rheology
✍ Sven Richter; Volodymyr Boyko; Klaus Schröter 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 134 KB

## Abstract **Summary:** The sol–gel transition of a radical chain cross‐linking copolymerization system [__N__‐vinylcaprolactam/2‐hydroxylethyl methacrylate/allyl methacrylate] has been studied using in situ time‐resolved dynamic light scattering (DLS) and in situ rheology. A critical dynamic beha

A comparative study of molecular dynamic
A comparative study of molecular dynamics in Cartesian and in internal coordinates: Dynamical instability in the latter caused by nonlinearity of the equations of motion
✍ Sang-Ho Lee; Kim Palmo; Samuel Krimm 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 239 KB 👁 1 views

## Abstract The stability of a general molecular dynamics (MD) integration scheme is examined for simulations in generalized (internal plus external) coordinates (GCs). An analytic expression is derived for the local error in energy during each integration time step. This shows that the explicit de