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Displaying 121 –
140 of
159
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...
Finite-size fluctuations arising in the dynamics of competing populations may have dramatic influence on their fate. As an example, in this article, we investigate a model of three species which dominate each other in a cyclic manner. Although the deterministic approach predicts (neutrally) stable coexistence of all species, for any finite population size, the intrinsic stochasticity unavoidably causes the eventual extinction of two of them.
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...
An integral Markov operator appearing in biomathematics is investigated. This operator acts on the space of probabilistic Borel measures. Let and be probabilistic Borel measures. Sufficient conditions for weak and strong convergence of the sequence to are given.
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159