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Number of results: 102
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Abstract

The investigation was carried out on forest soils collected from areas subject to variable pollution. The fraction of strontium was analyzed in soil samples from north-eastern Poland (Borki forest division), treated as a non-polluted region (natural background) and in soil samples from central (Rogów forest division) and south-western Poland (Świerklaniec forest division). The sequential extraction procedure was applied in this study to separate the fractions of strontium. Five fractions were analyzed in every genetic horizon according to the Tessier method. The concentration of strontium was also analyzed in the plants. Both results were compared in order to evaluate the mobility and bioavailability of the trace elements in the environment. The content, distribution and bioavailability of the strontium fractions were investigated with particular emphasis on the contaminated study sites. Total content of strontium in surface horizons depended on the localization. Among analysed fractions strontium, in organic soil horizons, regardless of localization, occurred predominantly in mobile fractions in all examined soils.

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Authors and Affiliations

Agnieszka Jeske
Barbara Gworek
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Abstract

Solanaceae plants have strong allelopathic potential, and therefore the action is confirmed through: a) bioassays with liquid or various solvent extracts and residues, b) fractionation, identification, and quantification of causative allelochemicals. Most assessments of allelopathy involve bioassays of plant or soil extracts, leachates, fractions, and residues which support seed germination and seedling growth in laboratory and greenhouse experiments. Plant growth is also stimulated below the allelopathic threshold, however severe growth reductions may be observed above the threshold concentration depending on the sensitivity of the receiving species. Generally, seedling growth is more sensitive than germination, particularly root growth. Some approaches showed that field soil collected beneath donor plants significantly reduced or somewhat promoted the growth of the recipients plants. Petri dish bioassays with aqueous extracts of different parts of donor plants showed considerable phytotoxic activities in a concentration-dependent manner with leaf aqueous extracts being most dominant. Delayed seed germination and slow root growth attributable to the extracts may be baffled with diffusion effects on the rate of imbibition, delayed initiation of germination, and particularly cell elongation; the main factor that is responsible for affecting root growth before and after the tip penetrates the testa. Light and electron microscopy extract analysis at the ultrastructural level are correctly investigated. Several Solanaceae plants have allelopathic potential, and therefore the activities, kinds and quantity of allelopathic compounds differ depending on the plant species. The incorporation of allelopathic substances into agricultural management might scale back the development of pesticides and reduce environmental deterioration.
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Authors and Affiliations

Mushtaq Waseem
Siddiqui Mohammad Badruzzaman
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Abstract

Results of the studies for determining fractions of organic contaminants in a pretreated petrochemical wastewater flowing into a pilot Aerated Submerged Fixed-Bed Biofilm Reactor (ASFBBR) are presented and discussed. The method of chemical oxygen demand (COD) fractionation consisted of physical tests and biological assays. It was found that the main part of the total COD in the petrochemical, pretreated wastewater was soluble organic substance with average value of 57.6%. The fractions of particulate and colloidal organic matter were found to be 31.8% and 10.6%, respectively. About 40% of COD in the influent was determined as readily biodegradable COD. The inert fraction of the soluble organic matter in the petrochemical wastewater constituted about 60% of the influent colloidal and soluble COD. Determination of degree of hydrolysis (DH) of the colloidal fraction of COD was also included in the paper. The estimated value of DH was about 62%. Values of the assayed COD fractions were compared with the same parameters obtained for municipal wastewater by other authors.

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Authors and Affiliations

Włodzimierz Wójcik
Karol Trojanowicz
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Abstract

The contents of total P and its bioavailable forms. as well as of Fe, Al, Mn, Ca, and OM in the bottom sediments of the Solina-Myczkowce (S-E Poland) cascade of reservoirs, are presented. Notwithstanding a relatively low calcium content, it is the apatite fraction that accounts for the largest share of total phosphorus in the shallower parts of the Solina and Myczkowce Reservoirs. In turn, while contents of iron and aluminium (and manganese in the Solina Reservoir) are high, the fraction containing non-apatite inorganic phosphorus accounts for the smallest portion of the total phosphorus in the bottom sediments of both reservoirs. Bottom sediments of the Solina Reservoir are also characterised by significant correlations between total phosphorus content and aluminium content. Otherwise, significant correlations are reported for only some of the stations at each of the reservoirs.
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Authors and Affiliations

Lilianna Bartoszek
Janusz A. Tomaszek
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Abstract

Samples of steam coal used in heat and power plants as well as densimetric fractions obtained on a laboratory scale by dense organic liquid separation have been examined. The contents of ash, mercury, chromium, cadmium, copper, nickel and lead have been determined in coal, in the light and medium fraction as well as in the refuse. The degree of removal of mineral matter and the examined heavy metals as well as the coal combustible parts yield have been determined. Examination of 5 coals revealed that it is possible to remove 41% of mercury and more than 35% of other heavy metals bound to mineral matter in coal.

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Authors and Affiliations

Elwira Zajusz-Zubek
Jan Konieczyński
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Abstract

This paper addresses the nonlinear Cucker–Smale optimal control problem under the interplay of memory effect. The aforementioned effect is included by employing the Caputo fractional derivative in the equation representing the velocity of agents. Sufficient conditions for the existence of solutions to the considered problem are proved and the analysis of some particular problems is illustrated by two numerical examples.

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Authors and Affiliations

Ricardo Almeida
Rafał Kamocki
Agnieszka B. Malinowska
Tatiana Odzijewicz
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Abstract

In this paper, we consider an optimal control problem in which a dynamical system is controlled by a nonlinear Caputo fractional state equation. First we get the linearized maximum principle. Further, the concept of a quasi-singular control is introduced and, on this basis, an analogue of the Legendre-Clebsch conditions is obtained. When the analogue of Legendre- Clebsch condition degenerates, a necessary high-order optimality condition is derived. An illustrative example is considered.
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Authors and Affiliations

Shakir Sh. Yusubov
1
Elimhan N. MahmudoV
2 3
ORCID: ORCID

  1. Department of Mechanics and Mathematics, Baku State University, Baku, Azerbaijan
  2. Department of Mathematics, Istanbul Technical University, Istanbul, Turkey
  3. Azerbaijan National Aviation Academy, Baku, Azerbaijan
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Abstract

The paper presents results of aluminium concentration determination in the samples of surface water and bottom sediments of the Mala Wełna River (West Poland). In the surface water the concentration of aluminium varies in the range from 4.14 to 25.9 ug/dm'. With use of the Mineql+ program the concentration of the aluminium sulphate complexes in the water samples studied has been determined in a model way. In the bottom sediments samples of the river aluminium has been determined in the granulometrie fractions of the grain sizes> 2.0; 2.0-1.0; 1.0-0.5; 0.5-0.25; 0.25-0.1; 0.1-0.063; < 0.063 mm, using the sequential extraction scheme proposed by Tessier el al. The lowest concentration of aluminium has been found in the granulometrie fraction 0.5-0.25 mm, while the highest in the fractions 0.1-0.063 and< 0.063 mm. An elevated concentration of aluminium has been also noted in the fraction> 2.0 mm. Taking into regard the chemical fractions the lowest concentration of aluminium has been found in the exchange fraction and the fraction bounded to carbonates (fractions I and li), whereas the highest concentration of aluminium has been determined in the lithogenic fraction (fraction V). The methods of sample preparation for analysis of aluminium in bottom sediments were compared. Il was observed that higher concentration of aluminium was present in grounded samples without its influence on grain size fractions. The concentration of aluminium in surface water samples has been determined by the GF-AAS, while in bottom sediments by F-AAS.
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Authors and Affiliations

Marcin Frankowski
Anetta Zioła-Frankowska
Jerzy Siepak
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Abstract

The use of fractional-order calculus for system modeling is a good alternative to well-known classic integer-order methods, primarily due to the precision with which the modeled object may be mapped. In this study, we created integer and fractional discrete models of a real object – a highspeed brushless micro-motor. The accuracy of the models was verified and compared.

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Authors and Affiliations

M. Matusiak
M. Bąkała
R. Wojciechowski
P. Ostalczyk
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Abstract

In the paper a new, state space, fully discrete, fractional model of a heat transfer process in one dimensional body is addressed. The proposed model derives directly from fractional heat transfer equation. It employes the discrete Grünwald-Letnikov operator to express the fractional order differences along both coordinates: time and space. The practical stability and numerical complexity of the model are analysed. Theoretical results are verified using experimental data.
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Bibliography

  1.  S. Das, Functional Fractional Calculus for System Identification and Controls, Springer, Berlin, 2010.
  2.  R. Caponetto, G. Dongola, L. Fortuna, and I. Petras, “Fractional order systems: Modeling and Control Applications”, in World Scientific Series on Nonlinear Science, ed. L.O. Chua, pp. 1–178, University of California, Berkeley, 2010.
  3.  A. Dzieliński, D. Sierociuk, and G. Sarwas, “Some applications of fractional order calculus”, Bull. Pol. Ac.: Tech. 58(4), 583– 592 (2010).
  4.  C.G. Gal and M. Warma, “Elliptic and parabolic equations with fractional diffusion and dynamic boundary conditions”, Evol. Equ. Control Theory 5(1), 61–103 (2016).
  5.  E. Popescu, “On the fractional Cauchy problem associated with a feller semigroup”, Math. Rep. 12(2), 81–188 (2010).
  6.  D. Sierociuk et al., “Diffusion process modeling by using fractional-order models”, Appl. Math. Comput. 257(1), 2–11 (2015).
  7.  J.F. Gómez, L. Torres, and R.F. Escobar (eds.), “Fractional derivatives with Mittag-Leffler kernel trends and applications in science and engineering”, in Studies in Systems, Decision and Control, vol. 194, ed. J. Kacprzyk, pp. 1–339. Springer, Switzerland, 2019.
  8.  M. Dlugosz and P. Skruch, “The application of fractional-order models for thermal process modelling inside buildings”, J. Build Phys. 1(1), 1–13 (2015).
  9.  A. Obrączka, Control of heat processes with the use of noninteger models. PhD thesis, AGH University, Krakow, Poland, 2014.
  10.  A. Rauh, L. Senkel, H. Aschemann, V.V. Saurin, and G.V. Kostin, “An integrodifferential approach to modeling, control, state estimation and optimization for heat transfer systems”, Int. J. Appl. Math. Comput. Sci. 26(1), 15–30 (2016).
  11.  T. Kaczorek, “Singular fractional linear systems and electri cal circuits”, Int. J. Appl. Math. Comput. Sci. 21(2), 379–384 (2011).
  12.  T. Kaczorek and K. Rogowski, Fractional Linear Systems and Electrical Circuits, Bialystok University of Technology, Bialystok, 2014.
  13.  I. Podlubny, Fractional Differential Equations, Academic Press, San Diego, 1999.
  14.  B. Bandyopadhyay and S. Kamal, “Solution, stability and realization of fractional order differential equation”, in Stabilization and Control of Fractional Order Systems: A Sliding Mode Approach, Lecture Notes in Electrical Engineering 317, pp. 55–90, Springer, Switzerland, 2015.
  15.  D. Mozyrska, E. Girejko, M. Wyrwas, “Comparison of hdifference fractional operators”, in Advances in the Theory and Applications of Non- integer Order Systems, eds. W. Mitkowski et al., pp. 1–178. Springer, Switzerland, 2013.
  16.  P. Ostalczyk, “Equivalent descriptions of a discrete-time fractional-order linear system and its stability domains”, Int. J. Appl. Math. Comput. Sci. 22(3), 533–538 (2012).
  17.  E.F. Anley and Z. Zheng, “Finite difference approximation method for a space fractional convection–diffusion equation with variable coefficients”, Symmetry 12(485), 1–19 (2020).
  18.  P. Ostalczyk, Discrete Fractional Calculus. Applications in Control and Image Processing, World Scientific, New Jersey, London, Singapore, 2016.
  19.  M. Buslowicz and T. Kaczorek, “Simple conditions for practical stability of positive fractional discrete-time linear systems”, Int. J. Appl. Math. Comput. Sci. 19(2), 263–269 (2009).
  20.  R. Brociek and D. Słota, “Implicit finite difference method for the space fractional heat conduction equation with the mixed boundary condition”, Silesian J. Pure Appl. Math. 6(1), 125–136 (2016).
  21.  D. Mozyrska and E. Pawluszewicz, “Fractional discrete-time linear control systems with initialization”, Int. J. Control 1(1), 1–7 (2011).
  22.  K. Oprzędkiewicz, “The interval parabolic system”, Arch. Control Sci. 13(4), 415–430 (2003).
  23.  K. Oprzędkiewicz, “A controllability problem for a class of uncertain parameters linear dynamic systems”, Arch. Control Sci. 14(1), 85–100 (2004).
  24.  K. Oprzędkiewicz, “An observability problem for a class of uncertain-parameter linear dynamic systems”, Int. J. Appl. Math. Comput. Sci. 15(3), 331–338 (2005).
  25.  A. Dzieliński and D. Sierociuk, “Stability of discrete fractional order state-space systems”, in Proc. of the 2nd IFAC Workshop on Fractional Differentiation and its Applications, Porto, Portugal, 2006, pp. 505–510.
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Authors and Affiliations

Krzysztof Oprzędkiewicz
1
ORCID: ORCID

  1. AGH University of Science and Technology, al. A. Mickiewicza 30, 30-059 Kraków, Poland
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Abstract

The efficient, stable and reliable operation of the blast furnace secures the proper quality of coke, which is one of the basic components of the blast furnace charge. In modern blast-furnace technology, when using substitute fuels, i.e. coal dust, the role of coke is extremely important. For this reason, the demands placed on its quality increase. Domestic coking plants have a limited base of Polish high quality coking coals at their disposal, therefore the full use of their coking properties is extremely important. The grain composition of the coal blend is one of the basic factors affecting the quality of the produced coke. This influence depends on the quantity and quality of coal components that make up the blend. In the conducted research, 21 coking coals, differing significantly in the degree of rank and origin (Polish and overseas coals), it was shown that the separated grain classes differ in properties, both coking properties and the degree of devolatalization during heating. In analyzing the obtained results, it was observed that the grain volume growth occurs essentially in the temperature range between the beginning and the maximum of fluidity. It has been shown that there is a linear correlation between the temperature corresponding to maximum fluidity and the temperature at which the maximum rate of evolution of volatiles enters. The presented phenomena accompany the emergence of coal expansion pressure during the coking process and they are its primary causes. The presented results can be an important guide for preparing the milling of coal for the coking process.

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Authors and Affiliations

Bartosz Mertas
Marek Ściążko
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Abstract

This study investigates Thomas’ cyclically symmetric attractor dynamics with mathematical and electronic simulations using a proportional fractional derivative to comprehend the dynamics of a given chaotic system. The three-dimensional chaotic flow was examined in detail with Riemann-Liouville derivative for different values of the fractional index to highlight the sensitivity of chaotic systems with initial conditions. Thus, the dynamics of the fractional index system were investigated with Eigenvalues, Kaplan–Yorke dimension, Lyapunov exponent, and NIST testing, and their corresponding trajectories were visualized with phase portraits, 2D density plot, and Poincaré maps. After obtaining the results, we found that the integer index dynamics are more complex than the fractional index dynamics. Furthermore, the chaotic system circuit is simulated with operational amplifiers for different fractional indices to generate analog signals of the symmetric attractor, making it an important aspect of engineering. The qualitative application of our nonlinear chaotic system is then applied to encrypt different data types such as voice, image, and video, to ensure that the developed nonlinear chaotic system can widely applied in the field of cyber security.
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Authors and Affiliations

NajeebAlam Khan
1
Muhammad Ali Qureshi
2
Saeed Akbar
1
Asmat Ara
3

  1. Department of Mathematics, University of Karachi, Karachi 75270, Pakistan
  2. Department of Physics, University of Karachi, Karachi 75270, Pakistan
  3. College of Humanities and Sciences, PAF-KIET, Karachi 75190, Pakistan
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Abstract

Generation of coal-based electricity is always associated with the origination of large amount of combustion waste. The presented article is a review concerning the possibilities of innovative directions of management for one of the by-products of coal combustion: fly ash. The storage of these waste products is associated with their negative impact on the environment. This is why research has been undertaken worldwide on the implementation of the concept of a circular economy. This article includes the examination of basic physical, chemical, and mineralogical properties of the most valuable components of fly ash (microspheres, magnetic fraction, and glass). It contains the examination of methods of separating these components and indicates the prospective directions of their use, e.g. as light fillers for polymers, sorbents, catalysts, composite materials, light ceramics, lightweight concretes, thermal insulation materials, biomaterials, raw material for the synthesis of zeolites or geopolymers. The paper also presents the components of fly ash, which can be treated as an alternative source of valuable elements, including critical elements. Moreover, it points to the necessity of capturing flammable substances from combustion by-products in order to obtain raw material characterised by a high degree of purity. It has been demonstrated that this way of ash management can lead to high recycling rates and bring valuable materials back to the economy. Such actions fit perfectly into global efforts for sustainable development and the circular economy.
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Authors and Affiliations

Ewa Strzałkowska
1
ORCID: ORCID

  1. Silesian University of Technology, Gliwice, Poland
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Abstract

The aim of the study was fractionation of Zn, Cu, Ni, Pb in the bottom sediments of two small reservoirs: at Krempna on the Wisłoka River and at Zcslwicc on the Dlubnia River. The partitioning of metals for various fractions was performed with the use of Tessier's sequential chemical extraction method. All together five metal fractions were distinguished: exchangeable metals (fraction I), metals bound to carbonates (fraction II), metals bound to hydrate Fe-Mn oxides (fraction III), metals bound to organic matter (fraction IV), and metals bound to minerals (fraction V). The largest quantities of metals were bound with fraction V, the smallest occurred in the forms most easily available for living organisms, in faction I. Proportions ofZn, Ni and Pb in the exchangeable fraction were about 1%. The amounts of metals bound with fraction II were also relatively low, except lor Zn in bottom sediment at the Zeslawice Reservoir. In this bottom sediment the share of Zn bound to carbonates was 33%. Medium metal quantities were associated with hydrate Fe-Mn oxides (fraction III) and with organic matter (fraction IV). Relatively high proportion ofmetals in fraction V and trace amounts ofmetals in fraction I as well as alkaline and neutral reaction of the sediments may prove a potentially low hazard of the metal release in the case of chemical changes in the reservoirs.
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Authors and Affiliations

Marek Madeyski
Marek Tarnawski
Czesława Jasiewicz
Agnieszka Baran
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Abstract

We compared different net sampling methods for microplastic quantitative collection by sampling different water volumes with nets of different mesh sizes. Sampling covered freshwater lake and reservoir with a significant degree of eutrophication located in Central Poland. The fibres were the main type of plastic collected from sampling sites and constituted 83% of all microplastic particles. Fibres of 700–1900 μm dominated in the samples. The size of mesh affected the amount of fibres collected. Small fibres of 10–200 μm in length were collected using only a fine net of 20 μm mesh size. The total amount of fibres depended on sample volumes; concentrations of microplastics were higher for smaller water volumes. It is likely that clogging with phytoplankton and suspended particles reduced the filtration capacity of the finest nets when large volumes were sampled, which led to an underestimation of microplastic. To our knowledge, this is the first study to provide evidence that the amount of small microfibres depends on mesh size and that the total microplastic abundance in freshwaters in Poland depends on the sample volume. We suggest sampling rather larger than smaller water volumes to assess the level of microplastic contamination more accurately, but clogging, which reduces the filtration capacity of finest nets, should be taken into account when eutrophic freshwater environments are studied.
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Authors and Affiliations

Kamil Karaban
1
ORCID: ORCID
Agnieszka Poniatowska
1
ORCID: ORCID
Anita Kaliszewicz
1
ORCID: ORCID
Michał Winczek
1
ORCID: ORCID
Krassimira Ilieva-Makulec
1
ORCID: ORCID
Jerzy Romanowski
1
ORCID: ORCID

  1. Cardinal Stefan Wyszyński University in Warsaw, Institute of Biological Sciences, Warsaw, Poland
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Abstract

In our recent study we demonstrated that the holding of fresh semen in fractionated seminal plasma (SP1, >40 kDa; SP2, <40 kDa), obtained by gel filtration chromatography, significantly improved the sperm quality characteristics following cryopreservation (Wasilewska-Sakowska et al. 2019). In this study we investigated the effect of post-thaw (PT) supplementation of fractionated SP (SP1 and SP2) on the survival of spermatozoa from boars with good and poor semen freezability, GSF and PSF, respectively. Two-dimensional polyacrylamide gel electrophoresis (2D-PAGE) analysis showed distinct differences in the protein profiles of SP1 and SP2 from boars with GSF or PSF regarding the number of protein spots. Sperm motility characteristics and the motion patterns, assessed using the computer-assisted sperm analysis (CASA) system, were markedly higher in PT semen supplemented with SP1 and SP2 from boars with GSF. Post-thaw supplementation of either SP1 or SP2 from boars with GSF significantly improved mitochondrial function, plasma membrane and acrosome integrity, and viability during storage. The findings of this study have confirmed that the presence of protective protein components in varying abundance in either fractionated SP from boars with good freezability ejaculates significantly improved the sperm survival following PT storage.

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Authors and Affiliations

K. Wasilewska-Sakowska
Ł. Zasiadczyk
L. Fraser
J. Strzeżek
K. Karpiesiuk
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Abstract

The global stability of positive continuous-time standard and fractional order nonlinear feedback systems is investigated. New sufficient conditions for the global stability of these classes of positive nonlinear systems are established. The effectiveness of these new stability conditions is demonstrated on simple examples of positive nonlinear systems.

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Authors and Affiliations

T. Kaczorek
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Abstract

The aim of this study was to investigate the effect of different extenders on the post-thaw (PT) quality of sperm originating from the sperm-rich fraction (SRF) and post-sperm-rich fraction (PSRF) of boar ejaculate. Motility and velocity parameters, analyzed using a computer-assisted semen analysis (CASA) system, and membrane integrity parameters were markedly higher in frozen-thawed (FT) spermatozoa of the SRF in both the Belstville Thawing Solution (BTS) and Androhep Plus (AHP) extenders, irrespective of the post-thaw (PT) storage time. Furthermore, reduced cryo-survival was more marked in FT spermatozoa of the PSRF in both extenders following storage for 60 min. It was found that the SRF-stored samples in the AHP extender for 60 min exhibited significantly higher percentages of spermatozoa with total motility, mitochondrial function and acrosome integrity than those stored in the BTS extender. The findings of this study confirm that components of the ejaculate fractions and extender have varying effects on the cryo-survival of boar spermatozoa.
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Bibliography

1. Aquila S, Giordano F, Guido C, Rago V, Carpino A (2011) Nitric oxide involvement in the acrosome reaction triggered by leptin in pig sperm. Reprod Biol Endocrinol 9: 133.
2. Fraser L, Strzeżek J (2007) Effect of different procedures of ejaculate collection, extenders and packages on DNA integrity of boar sper-matozoa following freezing-thawing. Anim Reprod Sci 99: 317-329.
3. Kaeoket K, Chanapai P, Junchiyaphoom P, Chanapiwat P (2011) The effect of using long term and short term extenders during cooling process on the quality of frozen boar semen. Thai J Vet Med 41: 283-288.
4. Rodríguez-Martínez H, Martínez EA, Calvete JJ, Peña Vega FJ, Roca J (2021) Seminal plasma: relevant for fertility? Int J Mol Sci 22: 4368.
5. Rodríguez-Martínez H, Saravia F, Wallgren M, Roca J, Peña FJ (2008) Influence of seminal plasma on the kinematics of boar sperma-tozoa during freezing. Theriogenology 70: 1242-1250.
6. Saravia F, Wallgren M, Johannisson A, Calvete JJ, Sanz L, Pena FJ, Roca J, Rodríguez-Martínez H (2009) Exposure to the seminal plasma of different portions of the boar ejaculate modulates the survival of spermatozoa cryopreserved in MiniFlatPacks. Theriogenology 71: 662-675.
7. Thomas CA, Garner DL, DeJarnette JM, Marshall CE (1998) Effect of cryopreservation of bovine sperm organelle function and viability as determined by flow cytometry. Biol Reprod 58: 786-793.
8. Wasilewska K, Fraser L (2017) Boar variability in sperm cryo-tolerance after cooling of semen in different longterm extenders at various temperatures. Anim Reprod Sci 185: 161-173.
9. Wasilewska-Sakowska K, Zasiadczyk Ł, Fraser L (2019) Effect of fractionated seminal plasma on sperm characteristics following cryo-preservation of boar semen. Ann Anim Sci 19: 695-712.
10. Weitze KF (2014) Benefits of AndrohepPlus and AndrostarPlus long-term extenders for boar semen. (Minitüb Gmbh) Technical Report 5: 1-6.
11. Yeste M (2016) Sperm cryopreservation update: cryodamage, markers, and factors affecting the sperm freezability in pigs. Theriogenol-ogy 85: 47-64.
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Authors and Affiliations

Ł. Zasiadczyk
1
K. Kurpanik
1
L. Fraser
1
W. Kordan
1

  1. Department of Animal Biochemistry and Biotechnology, Faculty of Animal Bioengineering, University of Warmia and Mazury in Olsztyn, Oczapowskiego 5, 10-719 Olsztyn, Poland
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Abstract

The use of foam fractionation followed by aqueous two-phase extraction has emerged as a potential alternative to traditional liquid chromatography, hitherto irreplaceable in the purification of phycobiliproteins. The crude extracts of C-phycocyanin and allophycocyanin were obtained after Thermosynechococcus PCC 6715 biomass disintegration. The FF process with air flow of 2.4 L·h -1 resulted in purification factors up to 1.47 and partitioning coefficients of about 39, and did not require the addition of surfactants. A temperature of 35˚C allowed for the highest partitioning coefficient of 67.6 and yield of 76%; however, the purity of C-PC in condensate at this temperature was lower than at 25˚C. ATPE was tested in 20 different systems consisting of polyethylene glycol and phosphate or citrate salts, of which PEG1500-citrate gave the highest purification factor value of 2.31. Conversely, a partitioning coefficient of 2416 and 1094 were obtained for the PEG1500-phosphate and PEG3000-phosphate systems, respectively. Interestingly, the use of FF condensate in subsequent ATPE step resulted, for the first time, in the separation of the polymer phase into two fractions, one contained C-phycocyanin and the other allophycocyanin. It can be concluded that the use of a two-step system of FF and ATPE is a viable way to separate phycobiliproteins.
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Authors and Affiliations

Anna Antecka
1
ORCID: ORCID
Rafał Szeląg
1
Stanisław Ledakowicz
1
ORCID: ORCID

  1. Lodz University of Technology, Faculty of Process and Environmental Engineering, Department of Bioprocess Engineering, Wolczanska 213, 93-005 Lodz, Poland
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Abstract

The global stability of discrete-time nonlinear systems with descriptor positive linear parts and positive scalar feedbacks is addressed. Sufficient conditions for the global stability of standard and fractional nonlinear systems are established. The effectiveness of these conditions is illustrated on numerical examples.

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Authors and Affiliations

Tadeusz Kaczorek
ORCID: ORCID
Andrzej Ruszewski
ORCID: ORCID
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Abstract

In this paper the controllability properties of the convex linear combination of fractional, linear, discrete-time systems are characterized and investigated. The notions of linear convex combination and controllability in the context of fractional-order systems are recalled. Then, the controllability property of such a linear combination of discrete-time, linear fractional systems is proven. Further, the reduction of an infinite problem of transition matrix derivation is reduced to a finite one, which greatly simplifies the numerical burden of the controllability issue. Examples of controllable and uncontrollable, single-input, linear systems are presented. The possibility of extension of the considerations to multi-input systems is shown.
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Authors and Affiliations

Tadeusz Kaczorek
1
ORCID: ORCID
Jerzy Klamka
2
ORCID: ORCID
Andrzej Dzieliński
3
ORCID: ORCID

  1. Bialystok University of Technology, Faculty of Electrical Engineering, ul. Wiejska 45D, Bialystok, Poland
  2. Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, ul. Bałtycka 5, Gliwice, Poland
  3. Warsaw University of Technology, Faculty of Electrical Engineering, ul. Koszykowa 75, Warsaw, Poland
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Abstract

The stability analysis for discrete-time fractional linear systems with delays is presented. The state-space model with a time shift in the difference is considered. Necessary and sufficient conditions for practical stability and for asymptotic stability have been established. The systems with only one matrix occurring in the state equation at a delayed moment have been also considered. In this case analytical conditions for asymptotic stability have been given. Moreover parametric descriptions of the boundary of practical stability and asymptotic stability regions have been presented.

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Authors and Affiliations

Andrzej Ruszewski
ORCID: ORCID
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Abstract

Antarctic krill carbohydrate content was followed during 1983—84 Eighth Polish Antarctic Expedition. The Admiralty Bay (King George Island) was th area of study. The following average values of three estimated fractions were obtained: 3.77 +- 1.51%, 0.47 +- 0.34% and 3.30 +- 1.33% for total, TCA-soluble and TCA-insoluble carbohydrates, respectively. Percentage contribution of the estimated fractions to dry weight varied seasonally (1.48—7.41%, 0.15—1.83%, and 1.28—6.28%, respectively). The carbohydrate content showed a clearcut cycle of changes over the calender year, with a minimum in autumn-winter and a maximum in spring-summer.

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Authors and Affiliations

Edward Kołakowski
Lidia Szyper-Machowska

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