in cite{p}, park introduced the quadratic $rho$-functional inequalitiesbegin{eqnarray}&& |f(x+y)+f(x-y)-2f(x)-2f(y)| && qquad le  left|rholeft(2 fleft(frac{x+y}{2}right) + 2 fleft(frac{x-y}{2}right)- f(x) -  f(y)right)right|,  nonumberend{eqnarray}where $rho$ is a fixed complex number with $|rho|andbegin{eqnarray}&& left|2 fleft(frac{x+y}{2}right) + 2 fleft(frac{x-y}{2}r...

UNLABELLED Renal toxicity associated with small-molecule radionuclide therapy has been shown to be dose-limiting for many clinical studies. Strategies for maximizing dose to the target tissues while sparing normal critical organs based on absorbed dose and biologic response parameters are commonly used in external-beam therapy. However, radiopharmaceuticals passing though the kidneys result in ...

BACKGROUND The European Association of Nuclear Medicine procedure guidelines for whole-body fluorodeoxyglucose positron-emission tomography (FDG-PET) scanning prescribe a dose proportional to the patient's body mass. However, clinical practice shows degraded image quality in obese patients indicating that using an FDG dose proportional to body mass does not overcome size-related degradation of ...

BACKGROUND The limits of TDF (time, dose, and fractionation) and linear quadratic models have been known for a long time. Medical physicists and physicians are required to provide fast and reliable interpretations regarding delivered doses or any future prescriptions relating to treatment changes. AIM We, therefore, propose a calculation interface under the GNU license to be used for equivale...

A dose and dose-rate effectiveness factor (DDREF) for low-linear energy transfer (LET) radiations (photons and electrons) is used in cancer risk assessments to represent an assumption that risks at low doses and low dose rates may be less than estimates that are based mainly on linear extrapolations of observed risks at higher acute doses. DDREF generally is assumed to be independent of energy....

We present a spatiotemporally integrated formulation of the optimal fractionation problem using the standard log-linear-quadratic survival model. Our objective is to choose a fluencemap and a number of fractions so as to maximize the biological effect of tumor dose averaged over its voxels subject to maximum dose, mean dose, and dose-volume constraints for various normal tissues. Constrains are...

Treatment planning in high dose-rate brachytherapy has traditionally been conducted with manual forward planning, but inverse is today increasingly used clinical practice. There a large variety of proposed optimization models and algorithms to model solve the treatment problem. Two major parts for which mathematical can be are decisions about catheter placement dwell time distributions. Both th...

Noncentral indefinite quadratic expressions in possibly non- singular normal vectors are represented in terms of the difference of two positive definite quadratic forms and an independently distributed linear combination of standard normal random variables. This result also ap- plies to quadratic forms in singular normal vectors for which no general representation is currently available. The ...

the aim of this research was to study the in vitro effect of lavandula officinalis (leo) and origanum vulgare (oeo) essential oils on rumen fermentation using a concentrate type substrate (cts) and roughage type substrate (rts). six mehraban ewes were divided into 2 groups and fed a concentrate type or roughage type diet, and used as rumen fluid donors. each essential oil (eo) was evaluated sep...