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Controlled release of a drug contained in a spherical polymer capsule is of significant interest in many fields of medicine. There is growing interest in tailoring the erosion properties of the drug to help control and optimize the drug release process. Theoretical understanding of the nature of… |
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The paper addresses the calculation of the value at risk (VaR) of the mathematical provision applied in a fair valuation context. Following a balance-sheet approach, the classical definition of VaR needs some clarifications. For identifying worst cases it is opportune to observe that an increase in… |
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We investigate the influence of shear on the gravitational settling of heavy inertial particles in homogeneous shear turbulence (HST). In addition to the well-known enhanced settling velocity, observed for heavy inertial particles in homogeneous isotropic turbulence (HIT), a horizontal drift… |
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Using an algorithm for simulating equilibrium configurations, we study a fluctuating helical polymer either (i) contained in a cylindrical pore or (ii) wound around a cylindrical rod. We work in the regime where both the contour length and the persistence length of the helical polymer are much… |
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We consider the Schrödinger operator -?+V for negative potentials V, on open sets with positive first eigenvalue of the Dirichlet-Laplacian. We show that the spectrum of -?+V is positive, provided that V is greater than a negative multiple of the logarithmic gradient of the solution to the Lane-… |
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Casual mutations and natural selection have driven the evolution of protein
amino acid sequences that we observe at present in nature. The question about
which is the dominant force of proteins evolution is still lacking of an unambigu-
ous answer. Casual mutations tend to randomize protein… |
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Cyber insurance is a rapidly developing area which draws more and more attention of practitioners and researchers. Insurance, an alternative way to deal with residual risks, was only recently applied to the cyber world. The immature cyber insurance market faces a number of unique challenges on the… |
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This paper provides a numerical approach for solving optimal control
problems governed by ordinary differential equations. Continuous
extension of an explicit, fixed step-size Runge-Kutta scheme is used in
order to approximate state variables; moreover, the objective function
is… |
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Objective There is increasing interest in simultaneous endovascular delivery of more than one drug from a drug-loaded
stent into a diseased artery. There may be an opportunity to obtain a therapeutically desirable uptake profile of the two drugs
over time by appropriate design of the initial drug… |
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We consider the Cauchy problem for $n\times n$ strictly hyperbolic
systems of
nonresonant balance laws
$$
\left\{\begin{array}{c}
u_t+f(u)_x=g(x,u), \qquad x \in \reali, t>0\\
u(0,.)=u_o \in \L1 \cap \BV(\reali; \reali^n), \\
| \la_i(u)| \geq c > 0 \mbox{ for all } i\in \{1,\ldots,n\}, \\
|… |
