Tatyana Sorokina

ORCID: 0000-0003-2486-1932
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Research Areas
  • Advanced Numerical Analysis Techniques
  • Advanced Numerical Methods in Computational Mathematics
  • Polynomial and algebraic computation
  • Computational Geometry and Mesh Generation
  • Numerical methods in engineering
  • Image and Signal Denoising Methods
  • Electromagnetic Simulation and Numerical Methods
  • Advanced Mathematical Modeling in Engineering
  • Geophysics and Gravity Measurements
  • Regional Socio-Economic Development Trends
  • Impulse Buying and Technology Impacts
  • Inertial Sensor and Navigation
  • Advanced Measurement and Metrology Techniques
  • Neonatal Respiratory Health Research
  • Mathematical functions and polynomials
  • Optical measurement and interference techniques
  • Sexual Differentiation and Disorders
  • Mathematical Approximation and Integration
  • Cystic Fibrosis Research Advances
  • Image and Object Detection Techniques
  • Historical Geography and Cartography
  • Mathematics and Applications
  • Statistical and numerical algorithms
  • Sperm and Testicular Function
  • Economic Development and Digital Transformation

Research Centre for Medical Genetics
2023-2024

Towson University
2013-2024

Irkutsk Research Institute of the Forestry Industry
2022

Baikal State University of Economics and Law
2022

Institute of Biotechnology and Veterinary Medicine
2022

Northern (Arctic) Federal University
2022

Drexel University
2013

University of Georgia
2005-2006

Vanderbilt University
2004

10.1007/s10444-007-9041-8 article EN Advances in Computational Mathematics 2007-05-07

We describe an approximating scheme based on cubic C1 splines type-6 tetrahedral partitions using data volumetric grids. The quasi-interpolating piecewise polynomials are directly determined by setting their Bernstein-Bezier coefficients to appropriate combinations of the values. Hence, each polynomial piece spline is immediately available from local portions data, without prescribed derivatives at any point domain. locality method and uniform boundedness associated operator provide error...

10.1093/imanum/drl014 article EN IMA Journal of Numerical Analysis 2006-07-24

10.1007/s00211-010-0306-7 article EN Numerische Mathematik 2010-05-17

10.1023/b:acom.0000032045.03775.8d article EN Advances in Computational Mathematics 2004-06-16

Macro-elements of smoothness <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper C Superscript r"> <mml:semantics> <mml:msup> <mml:mi>C</mml:mi> <mml:mi>r</mml:mi> </mml:msup> <mml:annotation encoding="application/x-tex">C^r</mml:annotation> </mml:semantics> </mml:math> </inline-formula> are constructed on Powell- Sabin-<inline-formula alttext="12"> <mml:mn>12</mml:mn> encoding="application/x-tex">12</mml:annotation> splits a...

10.1090/s0025-5718-05-01813-2 article EN publisher-specific-oa Mathematics of Computation 2005-12-30

We show that for many spaces of bivariate splines imposing certain additional individual smoothness conditions on a spline space does not change the space. Such possess supersmoothness is reflected in their standard definitions. Smoothness treated as vanishing strongly supported functionals. investigate dependence this phenomenon geometry underlying partition and degree splines.

10.1093/imanum/drt057 article EN IMA Journal of Numerical Analysis 2013-12-29

Pathogenic CFTR variants cause cystic fibrosis (CF), and CF-related disorders (CF-RD), including bilateral aplasia of the vas deferens (CBAVD). The spectrum clinical manifestations depends on genotype. frequency vary between populations groups. genotypes were analyzed in Russian men with CF (n = 546) CBAVD syndrome 125). detected 93.95% 39.2% alleles, respectively. most frequent c.1521_1523del (F508del; p.Phe508del) variant was found 541 (49.5%) alleles. A total 162 revealed patients, 152...

10.3390/ijms242216287 article EN International Journal of Molecular Sciences 2023-11-14

10.1007/s00365-017-9367-5 article EN Constructive Approximation 2017-01-23

(1) Introduction: Pathogenic variants in the CFTR (Cystic Fibrosis Transmembrane conductance Regulator, OMIM: 602421) gene cause Cystic (CF, 219700) and CF-related disorders (CF-RD), often accompanied by obstructive azoospermia due to congenital bilateral aplasia of vas deferens (CBAVD, 277180) male patients. The L138ins (c.413_415dup; p. (Leu138dup)) is a mild variant that relatively common among CF-patients Slavic populations. frequency this Russian infertile men has not been sufficiently...

10.3390/genes14071407 article EN Genes 2023-07-07

10.1007/s00365-008-9018-y article EN Constructive Approximation 2008-03-17

Dimensions of spaces multivariate splines remain unknown in general. A computational method to obtain explicit formulas for the dimension spline on simplicial partitions is described. The based Hilbert series and polynomials. It applied conjecture Alfeld split a simplex several other partitions.

10.51286/albjm/1364666232 article EN Albanian Journal of Mathematics 2013-06-15

The main purpose of the present research is to define impact changes that took place in monetary and credit policy Russian Federation. touched upon regulatory issues mortgage lending which have influenced some aspects life population, including affordability factor square meter housing prices article analyzes money incomes population RF, source average salary, rates, volume number credits granted period from 2019 third quarter 2021. This reflects current situation takes into account economic...

10.17150/2411-6262.2022.13(1).6 article EN Baikal Research Journal 2022-04-30

10.1007/s00365-004-0572-7 article EN Constructive Approximation 2004-07-28

10.1016/j.jat.2008.07.001 article EN Journal of Approximation Theory 2008-11-01

Instead of using the full polynomial space, a conforming and nonconforming finite element methods are designed where only harmonic polynomials (a much smaller space) employed in computation. The quadratic is defined on special triangular grid. general grids. optimal order convergence proved for both methods, confirmed by numerical computations. In addition, comparisons with standard elements presented.

10.1080/00036811.2018.1504031 article EN Applicable Analysis 2018-08-01

10.1007/s10444-008-9110-7 article EN Advances in Computational Mathematics 2008-12-12

We consider spaces of multivariate splines defined on a particular type simplicial partitions that we call (generalized) oranges. Such are composed finite number maximal faces with exactly one shared medial face. reduce the problem finding dimension oranges to computing dimensions simpler, lower-dimensional projected use both algebraic and Bernstein-Bézier tools.

10.1016/j.jat.2024.106016 article EN cc-by Journal of Approximation Theory 2024-01-15

Globozoospermia is a form of male infertility characterized by spermatozoa with spherical heads lacking acrosomes. The aim this study was to evaluate ultrastructural and molecular defects in different types globozoospermia. Semen samples from 12 infertile patients (9 complete globozoospermia 3 partial globozoospermia) 10 normozoospermic men (control) were examined transmission electron microscopy immunocytochemistry antibodies against lamin B1. presence A progerin assessed reverse...

10.3389/fgene.2024.1427838 article EN cc-by Frontiers in Genetics 2024-07-09

(1) Background: The androgen receptor (AR) is critical for mediating the effects of androgens. polymorphic CAGn locus in exon 1 AR gene associated with several diseases, including spinal and bulbar muscular atrophy (SBMA), prostate cancer, male infertility. This study evaluated 9,000 infertile Russian men 286 fertile (control group); (2) Methods: was analyzed using polymorphism lengths amplified fragments method; (3) Results: In cohort, CAG repeats ranged from 6 to 46, a unimodal...

10.20944/preprints202410.1583.v1 preprint EN 2024-10-22
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