- Nonlinear Waves and Solitons
- Nonlinear Photonic Systems
- Nonlinear Dynamics and Pattern Formation
- Mathematical and Theoretical Epidemiology and Ecology Models
- Advanced Mathematical Physics Problems
- Differential Equations and Numerical Methods
- Complex Systems and Time Series Analysis
- Fractional Differential Equations Solutions
- Mathematical Biology Tumor Growth
- RNA Research and Splicing
- Advanced Sensor and Energy Harvesting Materials
- MicroRNA in disease regulation
- Navier-Stokes equation solutions
- Animal Genetics and Reproduction
- CRISPR and Genetic Engineering
- Computational Drug Discovery Methods
- Corneal Surgery and Treatments
- Chalcogenide Semiconductor Thin Films
- Opinion Dynamics and Social Influence
- Translation Studies and Practices
- Intracranial Aneurysms: Treatment and Complications
- Cardiovascular Health and Disease Prevention
- Gut microbiota and health
- Non-Invasive Vital Sign Monitoring
- Mathematical Analysis and Transform Methods
Bulgarian Academy of Sciences
2016-2025
Institute of Mechanics
2013-2025
Kozloduy Nuclear Power Plant
2024
Technical University of Sofia
2017-2023
Zayed University
2023
Sofia University "St. Kliment Ohridski"
2019-2021
Institute for Nuclear Research and Nuclear Energy
2005-2020
University of Rostock
2019
LMU Klinikum
2019
Ludwig-Maximilians-Universität München
2019
The effect of human secretory immunoglobulin A (S-IgA) and serum antibodies to surface protein antigen (Ag) I/II on the adherence Ag I/II-bearing Streptococcus mutans free saliva-coated hydroxyapatite (SHA) was investigated. inhibition by S-IgA binding both S. SHA dependent antibody I/II. Essentially no difference found between S-IgA1 S-IgA2 with respect antibody-dependent SHA, but inhibited more effectively than did either A1 (IgA1) or IgG antibodies. antiadherence abrogated after cleavage...
In this paper, I extend the Simple Equations Method (SEsM) and adapt it to obtain exact solutions of systems fractional nonlinear partial differential equations (FNPDEs). The novelty in extended SEsM algorithm is that, addition introducing more simple construction studied FNPDEs, assumed that selected have different independent variables (i.e., coordinates moving with wave). As a consequence, waves propagating wave velocities will be observed. Several scenarios are applied time-fractional...
In this study, we extend the Simple Equations Method (SEsM) and adapt it for finding exact solutions of systems fractional nonlinear partial differential equations (FNPDEs). accordance with extended SEsM, analytical to studied FNPDEs are constructed as complex composite functions which combine two single functions, comprising power series simple or special functions. The novel innovative aspect proposed methodology is that used have different independent variables (different wave...
In this study, we propose a generalized framework based on the Simple Equations Method (SEsM) for finding exact solutions to systems of fractional nonlinear partial differential equations (FNPDEs). The key developments over original SEsM in proposed analytical include following: (1) an extension by constructing studied FNPDEs as complex composite functions which combine two single functions, comprising power series simple or special with different independent variables (different wave...
Views Icon Article contents Figures & tables Video Audio Supplementary Data Peer Review Share Twitter Facebook Reddit LinkedIn Tools Reprints and Permissions Cite Search Site Citation S. Tabakova, E. Nikolova, St. Radev; Carreau model for oscillatory blood flow in a tube. AIP Conf. Proc. 12 November 2014; 1629 (1): 336–343. https://doi.org/10.1063/1.4902290 Download citation file: Ris (Zotero) Reference Manager EasyBib Bookends Mendeley Papers EndNote RefWorks BibTex toolbar search Dropdown...
Background: On the analogy of non-pathogenic microbiota found in oral cavity, skin and gastrointestinal tract, existence blood was confirmed by DNA sequencing, but never deeply characterized. Hypothesis for dormant healthy humans have been arisen single species isolated. The aim our study to resuscitate investigate biodiversity bacterial fungal individuals culturing NGS sequencing. Results: Twenty eight samples individuals, seven each type, were studied. Several culture media tested. Blood...
Intranasal (i.n.) immunization with bacterial protein antigens coupled to cholera toxin B subunit (CTB) effectively induces mucosal, especially salivary immunoglobulin A (IgA), and nonmucosal antibody responses in mice. To examine the regional distribution of antigen-specific T cells after i.n. immunization, antibody-secreting antigen-responsive cervical lymph nodes (CLN) were compared those found intraoral or subcutaneous (in neck) administration same antigen mesenteric (MLN) spleen...
In this paper the spatial-temporal dynamics of members interacting populations is described by nonlinear partial differential equations.We consider migration as a diffusion process influenced changing values birth rates and coefficients interaction between populations.For particular case one population spatial dimension general model reduced to analytically tractable PDE with polynomial nonlinearity up third order.By applying modified method simplest equation we obtain an analytical solution...
In this study we discuss existence of solitary wave solutions a famous higher-order model evolution equation arising from the water theory. This describes several nonlinear natural phenomena such as propagation long waves in shallow over flat surface or gravity-capillary waves. We obtain exact analytical by applying particular case Simplest Equations Method (SEsM).Numerical simulations obtained include various kinds depending on key parameter.
We discuss propagation of traveling waves in a blood-filled hyper–elastic artery with local dilatation (an aneurysm). The processes the injured are modeled by an equation motion arterial wall and equations fluid (the blood). Taking into account specific geometry applying reductive perturbation method long-wave approximation we reduce model to version perturbed Korteweg-de Vries kind variable coefficients. Exact traveling-wave solutions this obtained modified simplest where differential Abel...
Experimental autoimmune encephalomyelitis (EAE) is the most commonly used multiple sclerosis animal model. EAE mice typically develop motor deficits in a caudal-to-rostral pattern when inflammatory lesions have already developed. However, to monitor more subtle behavioral during lesion development (i.e., pre-clinical phase), sophisticated methods are needed. Here, we investigated whether high speed ventral plane videography can be applied early ‘pre-clinical’ EAE. For this purpose, was...
Polyclonal human secretory IgAI and lgA2 antibodies to a bacterial protein antigen Streptococcus mutans Agl/II, polyclonal serum IgA1 IgA2 staphylococcal a‐toxin, were found interfere with antigen‐mediated C3b fixation. In fluid phase, immune complexes of IgA failed fix C3b, whereas antigen‐IgG did C3b. Partial removal glycan chains mitis SK96 glycosidases diminished the capacity fixation by alternative complement pathway. The authors conclude that native or suppress fixation, play...
Mathematical modelling of kinetic processes with different time scales allows a reduction the governing equations using quasi-steady-state approximations (QSSA). A QSSA theorem is applied to mathematical model influence that Raf kinase inhibitor protein (RKIP) has on ERK signalling pathway. On basis previously published parameter values, system 11 ordinary differential rewritten in form suitable for reduction. In accordance terminology theorem, it established four and protein-complex...
In this study we derive an evolution equation for propagation of nonlinear waves in a blood-filled artery with local dilatation (an aneurysm) long–wave approximation. The is version the perturbed Korteweg-deVries variable coefficients. Exact travelling-wave solution obtained by modified method simplest where differential Riccati used as equation. Numerical examples exact are presented and discussed from point view arterial disease mechanics.
A combined antiviral effect of a polyphenol-rich extract the medicinal plant Geranium sanguineum L. (PC) and protease inhibitor, epsilon-aminocaproic acid (ACA) was examined in Influenza virus (IAV)-infected MDCK cell cultures mice. Synergistic, antagonistic, or indifferent effects were distinguished on basis yields, namely fractional yields individual compounds both combination. Combinations PC ACA particular concentrations proved synergistic inhibition replication cells protection mice...
In this study we extend a model, proposed by Dendrinos, which describes dynamics of change influence in social system containing public sector and private sector. The novelty is that reconfigure the consider consisting sector, non-governmental organizations (NGO) additional changes model’s equations with an equation, interactions must be taken into account. We show for selected values parameters equations, chaos Shilnikov kind can exist. illustrate arising corresponding chaotic attractor...
The new alkaloids 7-,9-diangeloylplatynecine (1) and 8-episarracine N-oxide (2), were isolated identified from the roots of Senecio macedonicus. Another one, 8-epineosarracine was detected by GC/MS analyses crude alkaloid mixture. cytotoxicity biological activity tested on normal murine spleen lymphocytes P3U1 mouse myeloma.