Publikationen an der Fakultät für Mathematik und Naturwissenschaften ab 2019

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Schaller, Manuel; Philipp, Friedrich; Faulwasser, Timm; Worthmann, Karl; Maschke, Bernhard
Control of port-Hamiltonian systems with minimal energy supply. - In: European journal of control, ISSN 1435-5671, Bd. 62 (2021), S. 33-40

We investigate optimal control of linear port-Hamiltonian systems with control constraints, in which one aims to perform a state transition with minimal energy supply. Decomposing the state space into dissipative and non-dissipative (i.e. conservative) subspaces, we show that the set of reachable states is bounded w.r.t. the dissipative subspace. We prove that the optimal control problem exhibits the turnpike property with respect to the non-dissipative subspace, i.e., for varying initial conditions and time horizons optimal state trajectories evolve close to the conservative subspace most of the time. We analyze the corresponding steady-state optimization problem and prove that all optimal steady states lie in the non-dissipative subspace. We conclude this paper by illustrating these results by a numerical example from mechanics.



https://doi.org/10.1016/j.ejcon.2021.06.017
Marx-Blümel, Lisa; Marx, Christian; Sonnemann, Jürgen; Weise, Frank; Hampl, Jörg; Frey, Jessica; Rothenburger, Linda; Cirri, Emilio; Rahnis, Norman; Koch, Philipp; Groth, Marco; Schober, Andreas; Wang, Zhao-Qi; Beck, James F.
Molecular characterization of hematopoietic stem cells after in vitro amplification on biomimetic 3D PDMS cell culture scaffolds. - In: Scientific reports, ISSN 2045-2322, Bd. 11 (2021), 21163, S. 1-14

Hematopoietic stem cell (HSC) transplantation is successfully applied since the late 1950s. However, its efficacy can be impaired by insufficient numbers of donor HSCs. A promising strategy to overcome this hurdle is the use of an advanced ex vivo culture system that supports the proliferation and, at the same time, maintains the pluripotency of HSCs. Therefore, we have developed artificial 3D bone marrow-like scaffolds made of polydimethylsiloxane (PDMS) that model the natural HSC niche in vitro. These 3D PDMS scaffolds in combination with an optimized HSC culture medium allow the amplification of high numbers of undifferentiated HSCs. After 14 days in vitro cell culture, we performed transcriptome and proteome analysis. Ingenuity pathway analysis indicated that the 3D PDMS cell culture scaffolds altered PI3K/AKT/mTOR pathways and activated SREBP, HIF1α and FOXO signaling, leading to metabolic adaptations, as judged by ELISA, Western blot and metabolic flux analysis. These molecular signaling pathways can promote the expansion of HSCs and are involved in the maintenance of their pluripotency. Thus, we have shown that the 3D PDMS scaffolds activate key molecular signaling pathways to amplify the numbers of undifferentiated HSCs ex vivo effectively.



https://doi.org/10.1038/s41598-021-00619-6
Espuny Díaz, Alberto; Girão, António
Hamiltonicity of randomly perturbed graphs. - In: Extended abstracts EuroComb 2021, (2021), S. 38-44

The theory of randomly perturbed graphs deals with the properties of graphs obtained as the union of a deterministic graph H and a random graph G. We study Hamiltonicity in two distinct settings. In both of them, we assume H is some deterministic graph with minimum degree at least αn, for some α (possibly depending on n). We first consider the case when G is a random geometric graph, and obtain an asymptotically optimal result. We then consider the case when G is a random regular graph, and obtain different results depending on the regularity.



Espuny Díaz, Alberto; Patel, Viresh; Stroh, Fabian
Path decompositions of random directed graphs. - In: Extended abstracts EuroComb 2021, (2021), S. 702-706

In this work we consider extensions of a conjecture due to Alspach, Mason, and Pullman from 1976. This conjecture concerns edge decompositions of tournaments into as few paths as possible. There is a natural lower bound for the number paths needed in an edge decomposition of a directed graph in terms of its degree sequence; the conjecture in question states that this bound is correct for tournaments of even order. The conjecture was recently resolved for large tournaments, and here we investigate to what extent the conjecture holds for directed graphs in general. In particular, we prove that the conjecture holds with high probability for the random directed graph Dn,pDn,pD_{n,p} for a large range of p.



Horak, Iryna; Prylutska, Svitlana; Krysiuk, Iryna; Luhovskyi, Serhii; Hrabovsky, Oleksii; Tverdokhleb, Nina; Franskevych, Daria; Rumiantsev, Dmytro; Senenko, Anton; Evstigneev, Maxim; Drobot, Liudmyla; Matyshevska, Olga; Ritter, Uwe; Piosik, Jacek; Prylutskyy, Yuriy
Nanocomplex of Berberine with C60 fullerene is a potent suppressor of Lewis lung carcinoma cells invasion in vitro and metastatic activity in vivo. - In: Materials, ISSN 1996-1944, Bd. 14 (2021), 20, 6114, insges. 15 S.
Im Titel ist "60" tiefgestellt

Effective targeting of metastasis is considered the main problem in cancer therapy. The development of herbal alkaloid Berberine (Ber)-based anticancer drugs is limited due to Ber’ low effective concentration, poor membrane permeability, and short plasma half-life. To overcome these limitations, we used Ber noncovalently bound to C60 fullerene (C60). The complexation between C60 and Ber molecules was evidenced with computer simulation. The aim of the present study was to estimate the effect of the free Ber and C60-Ber nanocomplex in a low Ber equivalent concentration on Lewis lung carcinoma cells (LLC) invasion potential, expression of epithelial-to-mesenchymal transition (EMT) markers in vitro, and the ability of cancer cells to form distant lung metastases in vivo in a mice model of LLC. It was shown that in contrast to free Ber its nanocomplex with C60 demonstrated significantly higher efficiency to suppress invasion potential, to downregulate the level of EMT-inducing transcription factors SNAI1, ZEB1, and TWIST1, to unblock expression of epithelial marker E-cadherin, and to repress cancer stem cells-like markers. More importantly, a relatively low dose of C60-Ber nanocomplex was able to suppress lung metastasis in vivo. These findings indicated that сomplexation of natural alkaloid Ber with C60 can be used as an additional therapeutic strategy against aggressive lung cancer.



https://doi.org/10.3390/ma14206114
Calderón, Jesús A.; Rincón, Carlos; Agreda, Martin; Jiménez de Cisneros, Juan José
Design and analysis of a mechanical ventilation system based on cams. - In: Heliyon, ISSN 2405-8440, Bd. 7 (2021), 10, e08195, S. 1-16

Low-cost mechanical ventilators have been developed in order to deal with the shortage of traditional ventilators whose quantity is not sufficient in an emergency context in Perú. Protofy, a company from Spain, designed one of the first low-cost mechanical ventilation systems OxyGEN which was approved by a medicine agency in its country in special context of COVID 19. Therefore, as main of this article, a redesign of this system named OxygenIP.PE was carried out according to local requirements and available technology, but maintaining its working concept based on compression mechanism by cams. Sensors were added and a control algorithm of the respiratory rate was developed. Ventilation curves monitoring over time was implemented; in this sense, a mathematical model of the whole system was developed. OxygenIP.PE was redesigned, fabricated, and tested measuring its ventilation curves over time. Results indicate that this redesign provides a sturdy equipment able to work during a longer lifetime than the original. The replicability of the ventilation curves behavior is ensured, while the mechanism dimensions are adapted for a particular airbag resuscitator. The mathematical model of the whole system can satisfactorily determine the ventilation curves over time and is used to show the air pressure, volume, and flow as a function of the compression arm's angular position and differential pressure through the breathing circuit measurement, furthermore the algorithms designed as a consequence of the mathematical model were implemented for Raspberry and ARDUINO microcontrollers. There were obtained parameters of pressure 10-65 cmH2O, airflow 50-65 l/m, volume 0-0.5 l, at two values of beat per minute (BPM) 15 and 25.



https://doi.org/10.1016/j.heliyon.2021.e08195
Nandy, Manali; Paszuk, Agnieszka; Feifel, Markus; Koppka, Christian; Kleinschmidt, Peter; Dimroth, Frank; Hannappel, Thomas
A route to obtaining low-defect III-V epilayers on Si(100) utilizing MOCVD. - In: Crystal growth & design, ISSN 1528-7505, Bd. 21 (2021), 10, S. 5603-5613

Low-defect III-V multilayer structures grown on Si(100) open opportunities for a wide range of cost-effective high-performance photovoltaic and optoelectronic devices. For that, (Al)GaP epilayers prepared almost lattice-matched on Si(100) substrates can serve as high-quality virtual substrates for subsequent heteroepitaxial growth. The evolution of crystal defects, such as stacking fault pyramids or threading dislocations, needs to be impeded already during the first preparation step, the III-V-on-Si nucleation, as they tend to propagate into the subsequently grown layers and increase nonradiative electron-hole recombination rates, which finally degrade the device performance. We establish a ternary GaP/AlP pulsed nucleation process on Si(100) substrates fabricated by metalorganic chemical vapor deposition, and compare it to the defect evolution from pure GaP nucleation layers (NLs). The entire procedure was optically monitored in situ using reflection anisotropy spectroscopy. Crystal defects were investigated by electron channeling contrast imaging. GaP grown on GaP/AlP NLs exhibits drastically reduced densities of threading dislocations and stacking faults by 1 and 2 orders of magnitude, respectively, compared to buffer layers grown on binary GaP NLs. We observed that the surface morphology at the initial stage of growth of these buffer layers is significantly smoother compared to the buffer layers grown on pure GaP NLs using atomic force microscopy. The proposed nucleation procedure here is supposed to substantially improve the crystalline quality of III-V buffer layers integrated on Si(100) wafers.



https://doi.org/10.1021/acs.cgd.1c00410
Khan, Nida Zaman; Chen, Li-Yu; Lindenbauer, Annerose; Pliquett, Uwe; Rothe, Holger; Nguyen, Thi-Huong
Label-free detection and characterization of heparin-induced thrombocytopenia (HIT)-like antibodies. - In: ACS omega, ISSN 2470-1343, Bd. 6 (2021), 40, S. 25926-25939

Heparin-induced thrombocytopenia (HIT) antibodies (Abs) can mediate and activate blood cells, forming blood clots. To detect HIT Abs, immunological assays with high sensitivity (≥95%) and fast response are widely used, but only about 50% of these tests are accurate as non-HIT Abs also bind to the same antigens. We aim to develop biosensor-based electrical detection to better differentiate HIT-like from non-HIT-like Abs. As a proof of principle, we tested with two types of commercially available monoclonal Abs including KKO (inducing HIT) and RTO (noninducing HIT). Platelet factor 4/Heparin antigens were immobilized on gold electrodes, and binding of antibodies on the chips was detected based on the change in the charge transfer resistance (Rct). Binding of KKO on sensors yielded a significantly lower charge transfer resistance than that of RTO. Bound antibodies and their binding characteristics on the sensors were confirmed and characterized by complementary techniques. Analysis of thermal kinetics showed that RTO bonds are more stable than those of KKO, whereas KKO exhibited a higher negative ζ potential than RTO. These different characteristics made it possible to electrically differentiate these two types of antibodies. Our study opens a new avenue for the development of sensors for better detection of pathogenic Abs in HIT patients.



https://doi.org/10.1021/acsomega.1c02496
Ovsiienko, Iryna V.; Tsaregradskaya, Tatiana L.; Shpylka, D. O.; Matzui, Lyudmila Yu.; Saenko, Galina V.; Ritter, Uwe; Len, Tatiana A.; Prylutskyy, Yuriy I.
Magnetoresistance of carbon nanotubes filled by iron. - In: Proceedings of the 2021 IEEE 11th International Conference "Nanomaterials: Applications & Properties" (NAP-2021), (2021), S. NMM05-1-NMM05-5

Paper presents the results of experimental investigations of magnetoresistance of filled with iron multi-walled carbon nanotubes. Multi-walled carbon nanotubes have been prepared by pyrolysis of benzene in a tubular quartz furnace at a temperature of 950˚C with use ferrocene as a source of iron. The obtained by this method carbon nanotubes contain in the inner cavity the particles of the magnetic phase, namely iron, iron carbide and iron oxides in various concentrations. The electrical resistance of bulk specimens of modified carbon nanotubes have been carried out in the temperature interval from 4.2 K to 293 K and in magnetic field up to 2 T. It is shown that magnetoresistance of modified carbon nanotubes is determined by a combination of two effects: the giant magnetoresistance effect and anisotropic magnetoresistance effect, moreover, the relative contribution of each effect depends on the concentration of the magnetic phase.



https://doi.org/10.1109/NAP51885.2021.9568395
Alam, Shahidul; Nádaždy, Vojtech; Váry, Tomáš; Friebe, Christian; Meitzner, Rico; Ahner, Johannes; Anand, Aman; Karuthedath, Safakath; Castro, Catherine S. P. De; Göhler, Clemens; Dietz, Stefanie; Cann, Jonathan; Kästner, Christian; Konkin, Alexander; Beenken, Wichard J. D.; Anton, Arthur Markus; Ulbricht, Christoph; Sperlich, Andreas; Hager, Martin; Ritter, Uwe; Kremer, Friedrich; Brüggemann, Oliver; Schubert, Ulrich Sigmar; Ayuk Mbi Egbe, Daniel; Welch, Gregory C.; Dyakonov, Vladimir; Deibel, Carsten; Laquai, Frédéric; Hoppe, Harald
Uphill and downhill charge generation from charge transfer to charge separated states in organic solar cells. - In: Journal of materials chemistry, ISSN 2050-7534, Bd. 9 (2021), 40, S. 14463-14489

It is common knowledge that molecular energy level offsets of a type II heterojunction formed at the donor-acceptor interface are considered to be the driving force for photoinduced charge transfer in organic solar cells. Usually, these offsets - present between molecular energy levels of the donor and acceptor - are obtained via cyclic voltammetry (CV) measurements of organic semiconductors cast in a film or dissolved in solution. Simply transferring such determined energy levels from solution or film of single materials to blend films may be obviously limited and not be possible in full generality. Herein, we report various cases of material combinations in which novel non-fullerene acceptors did not yield successful charge transfer, although energy levels obtained by CV on constituting single materials indicate a type II heterojunction. Whilst the integer charge transfer (ICT) model provides one explanation for a relative rise of molecular energy levels of acceptors, further details and other cases have not been studied so far in great detail. By applying energy-resolved electrochemical impedance spectroscopy (ER-EIS) on several donor-acceptor combinations, a Fano-like resonance feature associated with a distinctive molecular energy level of the acceptor as well as various relative molecular energy level shifts of different kinds could be observed. By analyzing ER-EIS and absorption spectra, not only the exciton binding energy within single materials could be determined, but also the commonly unknown binding energy of the CT state with regard to the joint density of states (jDOS) of the effective semiconductor. The latter is defined by transitions between the highest occupied molecular orbitals (HOMO) of the donor and the lowest unoccupied molecular orbitals (LUMO) of the acceptor. Using this technique among others, we identified cases in which charge generation may occur either via uphill or by downhill processes between the charge transfer exciton and the electronic gap of the effective semiconductor. Exceptionally high CT-exciton binding energies and thus low charge generation yields were obtained for a case in which the donor and acceptor yielded a too intimate blend morphology, indicating π-π stacking as a potential cause for unfavorable molecular energy level alignment.



https://doi.org/10.1039/D1TC02351A