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Displaying 661 –
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816
An analysis of all possible icosahedral viral capsids is proposed. It takes into account
the diversity of coat proteins and their positioning in elementary pentagonal and
hexagonal configurations, leading to definite capsid size. We show that the
self-organization of observed capsids during their production implies a definite
composition and configuration of elementary building blocks. The exact number of different
protein dimers is related to the...
We consider a system which describes the scaling limit of several chemotaxis systems. We focus on self-similarity, and review some recent results on forward and backward self-similar solutions to the system.
We have developed a chemical kinetics simulation that can be used as both an educational
and research tool. The simulator is designed as an accessible, open-source project that
can be run on a laptop with a student-friendly interface. The application can potentially
be scaled to run in parallel for large simulations. The simulation has been successfully
used in a classroom setting for teaching basic electrochemical properties. We have shown
that...
Bidomain models are commonly used for studying and simulating electrophysiological waves in the cardiac tissue. Most of the time, the associated PDEs are solved using explicit finite difference methods on structured grids. We propose an implicit finite element method using unstructured grids for an anisotropic bidomain model. The impact and numerical requirements of unstructured grid methods is investigated using a test case with re-entrant waves.
Bidomain models are commonly used for studying and simulating
electrophysiological waves in the cardiac tissue. Most of the
time, the associated PDEs are solved using explicit finite
difference methods on structured grids. We propose an implicit
finite element method using unstructured grids for an anisotropic
bidomain model. The impact and numerical requirements of
unstructured grid methods is investigated using a test case
with re-entrant waves.
We investigate the structure of
travelling waves for a model of a fungal disease propagating over
a vineyard. This model is based on a set of ODEs of the SIR-type
coupled with two reaction-diffusion equations describing the
dispersal of the spores produced by the fungus inside and over the
vineyard. An estimate of the biological parameters in the model
suggests to use a singular perturbation analysis. It allows us to
compute the speed and the profile of the travelling waves. The
analytical results...
In this note we give a result of convergence when time goes to infinity for a
quasi static linear elastic model, the elastic tensor of which vanishes at
infinity. This method is applied to segmentation of medical images, and improves
the 'elastic deformable template' model introduced previously.
Skupinový screening je nezbytnou součástí boje proti šíření koronaviru. Jak ale čelit možnému nedostatku činidel a materiálu? Tím, že budeme provádět testy na bázi promíchání vzorků a využijeme přitom matematiku.
In this paper, we compare a biomechanics empirical model of the heart fibrous structure to two models obtained by a non-periodic homogenization process. To this end, the two homogenized models are simplified using the small amplitude homogenization procedure of Tartar, both in conduction and in elasticity. A new small amplitude homogenization expansion formula for a mixture of anisotropic elastic materials is also derived and allows us to obtain a third simplified model.
This paper investigates the output controllability problem of temporal Boolean networks with inputs (control nodes) and outputs (controlled nodes). A temporal Boolean network is a logical dynamic system describing cellular networks with time delays. Using semi-tensor product of matrices, the temporal Boolean networks can be converted into discrete time linear dynamic systems. Some necessary and sufficient conditions on the output controllability via two kinds of inputs are obtained by providing...
The development of functional-structural plant models has opened interesting perspectives
for a better understanding of plant growth as well as for potential applications in
breeding or decision aid in farm management. Parameterization of such models is however a
difficult issue due to the complexity of the involved biological processes and the
interactions between these processes. The estimation of parameters from experimental data
by inverse methods...
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