According to the chemical reaction network theory, the topology of a certain class of chemical reaction networks, regardless of the kinetic details, sets a limit on the dynamical properties that a particular network can potentially admit; the structure of a network predetermines the dynamic capacity of the network. We note that stochastic fluctuations can possibly confer a new dynamical capabil...

The need to provide for robust GPS navigation in challenging environments such as urban or dense vegetation is established. The use of ultra-tightly coupled techniques can significantly extend the tracking threshold of GPS receivers in these environments providing for robust navigation using code and carrier measurements at C/No levels previously unobtainable. The use of conventional tracking l...

A Minimum Shift Keying (MSK) or Fast Frequency Shift Keying (FFSK) coherent demodulating algorithm is discussed. Both carrier synchronisation and optimal symbol correlation are done within two decision switched Costas loops, each operating at one of the reference signal frequencies. Simulation shows the demodulator to be robust against phase distortion and frequency drift in the received signal...

In non-abelian gauge theories without matter fields, expectation values of large Wilson loops and loop correlation functions are difficult to compute through numerical simulation, because the signal-to-noise ratio is very rapidly decaying for increasing loop sizes. Using a multilevel scheme that exploits the locality of the theory, we show that the statistical errors in such calculations can be...

We discuss a programming language for real-time audio signal processing that is embedded in the functional language Haskell and uses the Low-Level Virtual Machine as back-end. With that framework we can code with the comfort and type safety of Haskell while achieving maximum efficiency of fast inner loops and full vectorisation. This way Haskell becomes a valuable alternative to special purpose...

7 We use mathematical analysis and numerical simulations to study the e ects of recurrent synaptic connections in neural networks. These recurrent e ects can be analyzed by expanding 9 a spike probability function about the membrane potential in the absence of connections. This expansion can be written as a series of loops representing the recurrent signal transmission. 11 Conditions for conver...

It is well known that noise is inevitable in gene regulatory networks due to the low-copy numbers of molecules and local environmental fluctuations. The prediction of noise effects is a key issue in ensuring reliable transmission of information. Interlinked positive and negative feedback loops are essential signal transduction motifs in biological networks. Positive feedback loops are generally...

We present in detail a technique to extract the potential between a static quark and anti-quark pair from Wilson loops measured on dynamical configurations. This technique is based on HYP smearing and leads to an exponential improvement of the noise-to-signal ratio of Wilson loops. We explain why the correct continuum potential is obtained and show numerical evidence that the cut-off effects ar...

Abstract Blood Oxygen Level Dependent ( BOLD ) fMRI is widely used for non-invasive brain mapping and neuroimaging. Despite the challenges, significant advancements have been made in empirically explaining several signal features. Before applying functional connectivity measures to assess signal, preprocessing required. Different stimuli produced by a regular periodic oscillation pulse propagat...