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Ogļskābes anhidrāžu II un IX izoformu strukturālie pētījumi specifisku inhibitoru dizainam
2015
Darba mērķis bija ar proteīnu kristalogrāfijas palīdzību noskaidrot dažādu inhibitoru novietojumus zīdītājos sastopamo ogļskābes anhidrāžu II un IX izoformu aktīvajos centros nolūkā radīt jaunu ārstniecības vielu prototipus. Maģistra darba tapšanas laikā tika iegūtas vairākas ogļskābes anhidrāžu II un IX izoformu proteīnu struktūras kompleksā ar dažādiem savienojumiem. Iegūtie rezultāti ir izmantojami racionālam zāļu dizainam, ar mērķi izveidot selektīvus ar audzējiem saistītās ogļskābes anhidrāzes IX, vai ar glaukomu saistītās II izoformas inhibitorus. Maģistra darbs izstrādāts Latvijas Biomedicīnas pētījumu un studiju centrā, proteīnu kristalogrāfijas laboratorijā Dr. biol. Kaspara Tāra v…
Modificētās L-ornitīna δ-aminotransferāzes strukturālie pētījumi jaunu diazonamīda A struktūranalogu dizainam
2015
Darba mērķi ir izstrādāt metodi rekombinantas modificētās ornitīna δ-aminotransferāzes (MOAT) produkcijai un kristalizēšanai, analizēt MOAT strukturālās atšķirības no ornitīna δ-aminotransferāzes (OAT), kā arī noteikt MOAT kristālu struktūru kompleksā ar Latvijas Organiskās sintēzes institūta pētnieku sintezētajiem diazonamīda A struktūranalogiem. Tādejādi, varētu noteikt MOAT un diazonamīda A struktūranalogu ķīmisko mijiedarbību veidu, iegūstot zināšanas jaunu MOAT inhibitoru dizainam. Bakalaura darba laikā tika iegūts rekombinants, E.coli producēts, MOAT, kā arī MOAT kristālstruktūra kompleksā ar piridoksāla 5´ fosfātu. Bakalaura darbs tika izstrādāts Latvijas Biomedicīnas pētījumu un stu…
Radial symmetry of p-harmonic minimizers
2017
"It is still not known if the radial cavitating minimizers obtained by Ball [J.M. Ball, Discontinuous equilibrium solutions and cavitation in nonlinear elasticity, Phil. Trans. R. Soc. Lond. A 306 (1982) 557--611] (and subsequently by many others) are global minimizers of any physically reasonable nonlinearly elastic energy". The quotation is from [J. Sivaloganathan and S. J. Spector, Necessary conditions for a minimum at a radial cavitating singularity in nonlinear elasticity, Ann. Inst. H. Poincare Anal. Non Lineaire 25 (2008), no. 1, 201--213] and seems to be still accurate. The model case of the $p$-harmonic energy is considered here. We prove that the planar radial minimizers are indee…
Determinants of current account balances
2011
Generalized wave propagation problems and discrete exterior calculus
2018
We introduce a general class of second-order boundary value problems unifying application areas such as acoustics, electromagnetism, elastodynamics, quantum mechanics, and so on, into a single framework. This also enables us to solve wave propagation problems very efficiently with a single software system. The solution method precisely follows the conservation laws in finite-dimensional systems, whereas the constitutive relations are imposed approximately. We employ discrete exterior calculus for the spatial discretization, use natural crystal structures for three-dimensional meshing, and derive a “discrete Hodge” adapted to harmonic wave. The numerical experiments indicate that the cumulat…
Decoupling on the Wiener space and variational estimates for BSDEs
2015
Raakaöljymarkkinoiden rakennemuutokset ja futuurimarkkinoiden tehokkuus
2017
Tutkimuksessa tutkittiin raakaöljymarkkinoiden rakennemuutoksia ja futuurimarkkinoiden tehokkuutta ja pyrittiin selvittämään, ovatko raakaöljyn futuurimarkkinat tehokkaat, onko raakaöljymarkkinoilla havaittavia rakennemuutoksia ja onko raakaöljymarkkinoiden rakennemuutoksilla vaikutusta futuurimarkkinoiden tehokkuuteen. Aineistona käytettiin Brent- ja WTI-raakaöljylaatujen spot- ja futuurihintasarjoja ajanjaksolta 24.6.1988 – 19.1.2017. Rakennemuutosta tutkittiin Zivot-Andrews –testillä ja futuurimarkkinoiden tehokkuutta lineaarisella regressiolla sekä GJR-tyyppisellä epäsymmetrisyysmuuttujalla täydennetyllä GARCH-in-Mean –mallilla. Havaitut rakennemuutokset ajoittuivat WTI:n spot- ja futuu…
Strongly Coupled Coherent Phonons in Single-Layer MoS 2
2019
We present a transient absorption setup combining broadband detection over the visible-UV range with high temporal resolution ($\sim$20fs) which is ideally suited to trigger and detect vibrational coherences in different classes of materials. We generate and detect coherent phonons (CPs) in single layer (1L) MoS$_2$, as a representative semiconducting 1L-transition metal dichalcogenide (TMD), where the confined dynamical interaction between excitons and phonons is unexplored. The coherent oscillatory motion of the out-of-plane $A'_{1}$ phonons, triggered by the ultrashort laser pulses, dynamically modulates the excitonic resonances on a timescale of few tens fs. We observe an enhancement by…
Medial Gastrocnemius Muscle Architecture Is Altered After Exhaustive Stretch-Shortening Cycle Exercise
2019
Muscle architecture is an important component of muscle function, and recent studies have shown changes in muscle architecture with fatigue. The stretch-shortening cycle is a natural way to study human locomotion, but little is known about how muscle architecture is affected by this type of exercise. This study investigated potential changes in medial gastrocnemius (MG) muscle architecture after exhaustive stretch-shortening cycle exercise. Male athletes (n = 10) performed maximal voluntary contractions (MVC) and maximal drop jump (DJ) tests before and after an exercise task consisting of 100 maximal DJs followed by successive rebound jumping to 70% of the initial maximal height. The exerci…
Topological canal foliations
2019
Regular canal surfaces of $\mathbb{R}^3$ or $\mathbb{S}^3$ admit foliations by circles: the characteristic circles of the envelope. In order to build a foliation of $\mathbb{S}^3$ with leaves being canal surfaces, one has to relax the condition “canal” a little (“weak canal condition”) in order to accept isolated umbilics. Here, we define a topological condition which generalizes this “weak canal” condition imposed on leaves, and classify the foliations of compact orientable 3-manifolds we can obtain this way.