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Displaying 61 –
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Modification of behaviour in response to changes in the environment or ambient
conditions, based on memory, is typical of the human and, possibly, many animal
species.One obvious example of such adaptivity is, for instance, switching to a safer
behaviour when in danger, from either a predator or an infectious disease. In human
society such switching to safe behaviour is particularly apparent during epidemics.
Mathematically, such changes of behaviour...
This contribution reviews the nonlinear
stochastic properties of turbulent velocity and passive scalar
intermittent fluctuations in Eulerian and Lagrangian turbulence.
These properties are illustrated with original data sets of (i)
velocity fluctuations collected in the field and in the
laboratory, and (ii) temperature, salinity and in vivo
fluorescence (a proxy of phytoplankton biomass, i.e. unicelled
vegetals passively advected by turbulence) sampled from highly
turbulent coastal waters. The strength...
We present two-dimensional simulations of chemotactic self-propelled bacteria swimming in
a viscous fluid. Self-propulsion is modelled by a couple of forces of same intensity and
opposite direction applied on the rigid bacterial body and on an associated region in the
fluid representing the flagellar bundle. The method for solving the fluid flow and the
motion of the bacteria is based on a variational formulation written on the whole domain,
strongly...
Recently a new interesting architecture of neural networks called “mixture of experts” has been proposed as a tool of real multivariate approximation or prediction. We show that the underlying problem is closely related to approximating the joint probability density of involved variables by finite mixture. Particularly, assuming normal mixtures, we can explicitly write the conditional expectation formula which can be interpreted as a mixture-of- experts network. In this way the related optimization...
The paper is concerned with application of mathematical modeling to the analysis of signaling pathways. Two issues, deterministic modeling of gene transcription and model-driven discovery of regulatory elements, are dealt with. First, the biological background is given and the importance of the stochastic nature of biological processes is addressed. The assumptions underlying deterministic modeling are presented. Special emphasis is put on describing gene transcription. A framework for including...
Contact behavior plays an important role in influenza transmission. In the progression of
influenza spread, human population reduces mobility to decrease infection risks. In this
paper, a mathematical model is proposed to include adaptive mobility. It is shown that the
mobility response does not affect the basic reproduction number that characterizes the
invasion threshold, but reduces dramatically infection peaks, or removes the peaks.
Numerical...
Gramicidin A is a small and well characterized peptide that forms an ion channel in lipid membranes. An important feature of gramicidin A (gA) pore is that its conductance is affected by the electric charges near the its entrance. This property has led to the application of gramicidin A as a biochemical sensor for monitoring and quantifying a number of chemical and enzymatic reactions. Here, a mathematical model of conductance changes of gramicidin A pores in response to the presence of electrical...
A mathematical model describing the pressure-volume relationship of the Novacor left ventricular assist system (LVAS) was developed. The model consisted of lumped resistance, capacitance, and inductance elements with one time-varying capacitor to simulate the cyclical pressure generation of the system. The ejection and filling portions of the pump cycle were modeled with two separate functions. The corresponding model parameters were estimated by least squares fit to experimental data obtained in...
Currently displaying 61 –
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161