0000000000414956

AUTHOR

Daniel Meyer

showing 2 related works from this author

Invariant Jordan curves of Sierpinski carpet rational maps

2015

In this paper, we prove that if $R\colon\widehat{\mathbb{C}}\to\widehat{\mathbb{C}}$ is a postcritically finite rational map with Julia set homeomorphic to the Sierpi\'nski carpet, then there is an integer $n_0$, such that, for any $n\ge n_0$, there exists an $R^n$-invariant Jordan curve $\Gamma$ containing the postcritical set of $R$.

Mathematics::Dynamical SystemsGeneral Mathematics[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]rational functionsMathematics::General TopologyDynamical Systems (math.DS)01 natural sciences37F10Combinatoricsexpanding Thusrston mapssymbols.namesakeHigh Energy Physics::TheoryMathematics::Quantum AlgebraFOS: MathematicsMathematics::Metric GeometryMathematics - Dynamical Systems0101 mathematicsInvariant (mathematics)MathematicsmatematiikkamathematicsSierpinski carpet Julia setsApplied Mathematicsta111010102 general mathematicsinvariant Jordan curveJulia setJordan curve theoremrationaalifunktiot010101 applied mathematicsrational mapsSierpinski carpetsymbols
researchProduct

Synthesis and biological evaluation of antimalarial and antileukemic activity of new C-10 modified artemisinin derivatives

2021

Abstract Several non-acetal artemisinin derivatives were synthesized and their antimalarial activity against chloroquine-resistant parasites as well as their antileukemic activity were investigated. The azide 10 was proved to have slightly better activity than the current antimalarial drugs such as artesunate and chloroquine. In addition, the azide 10 and the aldehyde 7 were found to be effective in decreasing cell proliferation in leukemia cells.

chemistry.chemical_classificationCell growthOrganic ChemistryPharmacologymedicine.diseaseBiochemistryAldehydechemistry.chemical_compoundLeukemiachemistryArtesunateChloroquineDrug DiscoverymedicineAzideArtemisininmedicine.drugBiological evaluationTetrahedron
researchProduct