Mathematical analysis for tumor growth model of ordinary differential equations

Special functions occur quite frequently in mathematical analysis and lend itself rather frequently in physical and engineering applications. Among the special functions, gamma function seemed to be widely used. The purpose of this thesis is to analyse the various properties of gamma function and use these properties and its definition to derive and tackle some integration problem which occur quite frequently in applications. It should be noted that if elementary techniques such as substitution and integration by parts were used to tackle most of the integration problems, then we will end up with frustration. Due to this, importance of gamma function cannot be denied

PROGRAM, THE NEBRASKA ACADEMY OF SCIENCES: One Hundred-Thirty-First Annual Meeting, APRIL 23-24, 2021. ONLINE

AFFILIATED SOCIETIES OF THE NEBRASKA ACADEMY OF SCIENCES, INC. 1.American Association of Physics Teachers, Nebraska Section: Web site: http://www.aapt.org/sections/officers.cfm?section=Nebraska 2.Friends of Loren Eiseley: Web site: http://www.eiseley.org/ 3.Lincoln Gem & Mineral Club: Web site: http://www.lincolngemmineralclub.org/ 4.Nebraska Chapter, National Council for Geographic Education 5.Nebraska Geological Society: Web site: http://www.nebraskageologicalsociety.org Sponsors of a $50 award to the outstanding student paper presented at the Nebraska Academy of SciencesAnnual Meeting, Earth Science /Nebraska Chapter, National Council Sections 6.Nebraska Graduate Women in Science 7.Nebraska Junior Academy of Sciences: Web site: http://www.nebraskajunioracademyofsciences.org/ 8.Nebraska Ornithologists’ Union: Web site: http://www.noubirds.org/ 9.Nebraska Psychological Association: http://www.nebpsych.org/ 10.Nebraska-Southeast South Dakota Section Mathematical Association of America: Web site: http://sections.maa.org/nesesd/ 11.Nebraska Space Grant Consortium: Web site: http://www.ne.spacegrant.org/ CONTENTS AERONAUTICS & SPACE SCIENCE ANTHROPOLOGY APPLIED SCIENCE & TECHNOLOGY BIOLOGICAL & MEDICAL SCIENCES COLLEGIATE ACADEMY: BIOLOGY COLLEGIATE ACADEMY: CHEMISTRY & PHYSICS EARTH SCIENCES ENVIRONMENTAL SCIENCES GENERAL CHEMISTRY GENERAL PHYSICS TEACHING OF SCIENCE & MATHEMATICS 2020-2021 PROGRAM COMMITTEE 2020-2021 EXECUTIVE COMMITTEE FRIENDS OF THE ACADEMY NEBRASKA ACADEMY OF SCIENCS FRIEND OF SCIENCE AWARD WINNERS FRIEND OF SCIENCE AWARD TO DR PAUL KAR

Cyclic Hamiltonian cycle systems of the lambda-fold complete and cocktail party graphs

We establish the necessary and sufficient conditions for the existence of a cyclic Hamiltonian cycle system of lambda K(v) and of lambda(K(2v) - I). We also consider the existence problem for cyclic Hamiltonian cycle systems of lambda K(v) that are simple, i.e., without repeated cycles, solving it in the case that v is a prime. (C) 2010 Elsevier Ltd. All rights reserved

Strukturní charakterizace biotechnologicky a medicinálně významných proteinů.

A large number of biological processes depends on dynamics of protein structure and specific protein-protein and protein-ligand interactions occurring under specific native conditions in or outside of cells. Standard methods for protein structure analysis like x-ray crystallography, nuclear magnetic resonance or cryo-EM are able to obtain important atomic or near- atomic resolution protein structures, however these are usually a static snapshot of protein locked in a specific conformation and mostly in non-native conditions. Structural mass spectrometry on the other hand, allows to describe protein structure dynamics, protein-protein and protein-ligand interactions and obtain inter- and intraprotein distance constraints between amino acid residues, all while working with proteins in their native conditions and needing only a fraction of sample. In this work, hydrogen/deuterium exchange mass spectrometry (HDX-MS) and classical proteomic approaches were used together with other methods to analyse biotechnologically important proteins of fungal cellulolytic system lytic polysaccharide monooxygenase (LPMO) and cellobiose dehydrogenase (CDH) as well as plant-derived photosensitizer protein LOV2 with potential use in biologically targeted photodynamic therapy. These methods allowed us to follow...Velké množství biologických procesů je závislé na strukturní dynamice proteinů a specifických protein-proteinových, nebo protein-ligandových interakcích závislých na specifických podmínkách uvnitř, či vně buněk. Analýza struktury proteinů klasickými metodami jako je rentgenová krystalografie, NMR, nebo nově cryo-EM poskytuje důležité struktury s atomárním rozlišením, avšak většinou ukazuje pouze statický obrázek bez detailů o dynamice, nebo transientních interakcích, a navíc často v nenativních podmínkách. Tyto detaily může doplnit strukturní hmotnostní spektrometrie, která umí poskytnout informace o proteinové dynamice, interakcích proteinů s jinými molekulami a také o specifických meziatomových vzdálenostech v samotných proteinech, nebo mez interakčními partnery, to vše při relativně nativních podmínkách. V této práci byla použita vodík/deuteriová výměna spojená s hmotnostní spektrometrií (HDX-MS), klasická proteomická analýza a turbidimetrie ke studiu biotechnologicky užitečných proteinů houbového celulolytického systému lytické polysacharidové monooxygenasy (LPMO) a celobiosadehydrogenasy (CDH) a rovněž fotosensitivní domény LOV2 pocházející z rostlinného fototropinu využitelné při fotodynamické terapii. Pomocí těchto metod byla sledována celulolytická reakce katalyzovaná redukovaným enzymem...Department of BiochemistryKatedra biochemiePřírodovědecká fakultaFaculty of Scienc

ICTERI 2020: ІКТ в освіті, дослідженнях та промислових застосуваннях. Інтеграція, гармонізація та передача знань 2020: Матеріали 16-ї Міжнародної конференції. Том II: Семінари. Харків, Україна, 06-10 жовтня 2020 р.

This volume represents the proceedings of the Workshops co-located with the 16th International Conference on ICT in Education, Research, and Industrial Applications, held in Kharkiv, Ukraine, in October 2020. It comprises 101 contributed papers that were carefully peer-reviewed and selected from 233 submissions for the five workshops: RMSEBT, TheRMIT, ITER, 3L-Person, CoSinE, MROL. The volume is structured in six parts, each presenting the contributions for a particular workshop. The topical scope of the volume is aligned with the thematic tracks of ICTERI 2020: (I) Advances in ICT Research; (II) Information Systems: Technology and Applications; (III) Academia/Industry ICT Cooperation; and (IV) ICT in Education.Цей збірник представляє матеріали семінарів, які були проведені в рамках 16-ї Міжнародної конференції з ІКТ в освіті, наукових дослідженнях та промислових застосуваннях, що відбулася в Харкові, Україна, у жовтні 2020 року. Він містить 101 доповідь, які були ретельно рецензовані та відібрані з 233 заявок на участь у п'яти воркшопах: RMSEBT, TheRMIT, ITER, 3L-Person, CoSinE, MROL. Збірник складається з шести частин, кожна з яких представляє матеріали для певного семінару. Тематична спрямованість збірника узгоджена з тематичними напрямками ICTERI 2020: (I) Досягнення в галузі досліджень ІКТ; (II) Інформаційні системи: Технології і застосування; (ІІІ) Співпраця в галузі ІКТ між академічними і промисловими колами; і (IV) ІКТ в освіті