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• Author or Editor: Ildikó Fábián
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# Covering the crosspolytope by equal balls

Periodica Mathematica Hungarica
Authors: Károly Böröczky Jr., Ildikó Fábián, and Gergely Wintsche

## Summary

We determine the minimal radius of \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $n=2$ \end{document}, \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $d$ \end{document} or \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $2d$ \end{document} congruent balls, which cover the \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $d$ \end{document}-dimensional crosspolytope.

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# Óriás thrombocyták myelodysplasiás szindrómában és krónikus myeloid leukémia blastos fázisában

#### Giant platelets in myelodysplastic syndrome and in blast phase of chronic myeloid leukemia

Hematológia–Transzfuziológia
Authors: János Jakó, Tünde Miklós, and Ildikó Fábián

## Absztrakt:

A szerzők két betegük kórtörténetének az ismertetése és a perifériás vérkenetükben látható szokatlan nagyságú thrombocyták bemutatása kapcsán szeretnék felhívni a figyelmet az óriás thrombocyták diagnosztikus jelentőségére, egyszersmind a perifériás vérkenetekben előforduló thrombocyták gondos és alapos tanulmányozásának a fontosságára.

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# Upregulation of mu opioid receptors by voluntary morphine administration in drinking water

Acta Biologica Hungarica
Authors: Gabriella Fábián, B. Tombor, Ildikó Németh, Emese Kicsi G., Margit Szikszay, Gyöngyi Horváth, and Mária Szűcs

Morphine was provided to rats in drinking water for 21 days. Profound analgesic tolerance was detected both in hot-plate and tail-flick tests. The density of [3H]DAMGO binding sites increased by 76% in spinal cord membranes due to morphine exposure compared to those in opioid naive animals. Slightly augmented [3H]DAMGO binding was measured in the synaptic plasma membranes, with a concomitant decrease in the microsomal membranes, of morphine tolerant/dependent brains. These observations suggest that the regulation of spinal mu opioid receptors might be different from those in the brain. It is emphasized that the molecular changes underlying tolerance/dependence are influenced by several factors, such as the tissue or subcellular fractions used, besides the obvious importance of the route of drug administration. Results obtained after voluntary morphine intake further support the growing number of experimental data that chronic morphine does not internalize/downregulate the mu opioid receptors in the central nervous system.

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