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Displaying 101 –
120 of
149
We consider the coupling between three-dimensional
(3D) and one-dimensional (1D) fluid-structure interaction
(FSI) models describing blood flow inside compliant vessels.
The 1D model is a hyperbolic
system of partial differential equations.
The 3D model consists of the Navier-Stokes equations
for incompressible Newtonian fluids coupled with
a model for the vessel wall dynamics. A non standard formulation
for the Navier-Stokes equations is adopted to
have suitable boundary conditions for the...
Suppose and are two families of semigroups on a Banach space X (not necessarily of class C₀) such that for some initial datum u₀, G₁(t)u₀ tends towards an undesirable state u*. After remedying by means of an operator ρ we continue the evolution of the state by applying G₂(t) and after time 2t we retrieve a prosperous state u given by u = G₂(t)ρG₁(t)u₀. Here we are concerned with various properties of the semigroup (t): ρ → G₂(t)ρG₁(t). We define (X) to be the space of remedial operators for...
Hill functions follow from the equilibrium state of the reaction in which n ligands simultaneously
bind a single receptor. This result if often employed to interpret the Hill coefficient as
the number of ligand binding sites in all kinds of reaction schemes. Here, we study the equilibrium
states of the reactions in which n ligand bind a receptor sequentially, both non-cooperatively and
in a cooperative fashion. The main outcomes of such analysis are that: n is not a good estimate,
but only an upper...
We develop the qualitative theory of the
solutions of the McKendrick partial differential equation of
population dynamics. We calculate explicitly the weak solutions
of the McKendrick equation and of the Lotka renewal integral
equation with time and age dependent birth rate. Mortality modulus
is considered age dependent. We show the existence of demography
cycles. For a population with only one reproductive age class,
independently of the stability of the weak solutions and after a
transient time,...
FRAP (Fluorescence Recovery After Photobleaching) is a measurement technique for determination of the mobility of fluorescent molecules (presumably due to the diffusion process) within the living cells. While the experimental setup and protocol are usually fixed, the method used for the model parameter estimation, i.e. the data processing step, is not well established. In order to enhance the quantitative analysis of experimental (noisy) FRAP data, we firstly formulate the inverse problem of model...
Recent model of lifetime after a heart attack involves some integer coefficients. Our goal is to get these coefficients in simple way and transparent form. To this aim we construct a schema according to a rule which combines the ideas used in the Pascal triangle and the generalized Fibonacci and Lucas numbers
The paper studies the estimation problem of individual weights of objects using a chemical balance weighing design under the restriction on the number times in which each object is weighed. Conditions under which the existence of an optimum chemical balance weighing design for objects implies the existence of an optimum chemical balance weighing design for objects are given. The existence of an optimum chemical balance weighing design for objects implies the existence of an optimum chemical...
We consider a general class of mathematical models P for cancer chemotherapy described as optimal control problems over a fixed horizon with dynamics given by a bilinear system and an objective which is linear in the control. Several two- and three-compartment models considered earlier fall into this class. While a killing agent which is active during cell division constitutes the only control considered in the two-compartment model, Model A, also two three-compartment models, Models B and C, are...
Currently displaying 101 –
120 of
149