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Displaying 701 –
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816
Many protein sequences present non trivial periodicities, such as cysteine signatures and leucine heptads. These known periodicities probably represent a small percentage of the total number of sequences periodic structures, and it is useful to have general tools to detect such sequences and their period in large databases of sequences. We compare three statistics adapted from those used in time series analysis: a generalisation of the simple autocovariance based on a similarity score and two statistics...
A suitable Liapunov function is constructed for proving that the unique critical point of a non-linear system of ordinary differential equations, considered in a well determined polyhedron , is globally asymptotically stable in . The analytic problem arises from an investigation concerning a steady state in a particular macromolecular system: the visual system represented by the pigment rhodopsin in the presence of light.
Stimuli-responsive polymers result in
on-demand regulation of properties and functioning of various
nanoscale systems. In particular, they allow stimuli-responsive
control of flow rates through membranes and nanofluidic devices
with submicron channel sizes. They also allow regulation of drug
release from nanoparticles and nanofibers in response to
temperature or pH variation in the surrounding medium. In the
present work two relevant mathematical models are introduced to
address precipitation-driven...
During vertebrate development cells acquire different fates depending largely on
their location in the embryo. The definition of a cell's developmental
fate relies on extensive intercellular communication that produces positional
information and ultimately generates an appropriately proportioned anatomy. Here
we place reaction-diffusion mechanisms in the context of general concepts
regarding the generation of positional information during development and then
focus on these mechanisms as parsimonious...
A construction of a realistic statistical model of lung cancer risk and progression is proposed. The essential elements of the model are genetic and behavioral determinants of susceptibility, progression of the disease from precursor lesions through early (localized) tumors to disseminated disease, detection by various modalities, and medical intervention. Using model estimates as a foundation, mortality reduction caused by early-detection and intervention programs can be predicted under different...
A method for system matrix calculation in the case of iterative reconstruction algorithms in SPECT was implemented and tested. Due to a complex mathematical description of the geometry of the detector set-up, we developed a method for system matrix computation that is based on direct measurements of the detector response. In this approach, the influence of the acquisition equipment on the image formation is measured directly. The objective was to obtain the best quality of reconstructed images with...
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