Publikationen an der Fakultät für Mathematik und Naturwissenschaften ab 2019

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Sauerteig, Philipp; Esterhuizen, Willem; Wilson, Mitsuru; Ritschel, Tobias K. S.; Worthmann, Karl; Streif, Stefan
Model predictive control tailored to epidemic models. - In: 2022 European Control Conference (ECC), (2022), S. 743-748

We propose a model predictive control (MPC) approach for minimising the social distancing and quarantine measures during a pandemic while maintaining a hard infection cap. To this end, we study the admissible and the maximal robust positively invariant set (MRPI) of the standard SEIR compartmental model with control inputs. Exploiting the fact that in the MRPI all restrictions can be lifted without violating the infection cap, we choose a suitable subset of the MRPI to define terminal constraints in our MPC routine and show that the number of infected people decays exponentially within this set. Furthermore, under mild assumptions we prove existence of a uniform bound on the time required to reach this terminal region (without violating the infection cap) starting in the admissible set. The findings are substantiated based on a numerical case study.



https://doi.org/10.23919/ECC55457.2022.9838589
Radivoievych, Alexandar; Kolp, Benjamin; Grebinyk, Sergii; Prylutska, Svitlana; Ritter, Uwe; Zolk, Oliver; Glökler, Jörn Felix; Frohme, Marcus; Grebinyk, Anna
Prestine C60 fullerene as a novel agent in sonodynamic treatment of cancer cells. - In: FEBS Open Bio, ISSN 2211-5463, Bd. 12 (2022), S. 74

https://doi.org/10.1002/2211-5463.13440
Calderón, Jesús A.; Ruiz, Carlos Gianpaul Rincón; Gómez Amador, Ana María; Cardenas, Bray Jesús Martin Agreda; Anaya, Sebastián Calero; Lozano Jauregui, John Hugo; Hinostroza, Alexandr Toribio; Jiménez de Cisneros y Fonfría, Juan José
Mathematical analysis of a low cost mechanical ventilator respiratory dynamics enhanced by a sensor transducer (ST) based in nanostructures of Anodic Aluminium Oxide (AAO). - In: Mathematics, ISSN 2227-7390, Bd. 10 (2022), 14, 2403, S. 1-32

Mechanical ventilation systems require a device for measuring the air flow provided to a patient in order to monitor and ensure the correct quantity of air proportionated to the patient, this device is the air flow sensor. At the beginning of the COVID-19 pandemic, flow sensors were not available in Peru because of the international supply shortage. In this context, a novel air flow sensor based on an orifice plate and an intelligent transducer was developed to form an integrated device. The proposed design was focused on simple manufacturing requirements for mass production in a developing country. CAD and CAE techniques were used in the design stage, and a mathematical model of the device was proposed and calibrated experimentally for the measured data transduction. The device was tested in its real working conditions and was therefore implemented in a breathing circuit connected to a low-cost mechanical ventilation system. Results indicate that the designed air flow sensor/transducer is a low-cost complete medical device for mechanical ventilators that is able to provide all the ventilation parameters by an equivalent electrical signal to directly display the following factors: air flow, pressure and volume over time. The evaluation of the designed sensor transducer was performed according to sundry transducer parameters such as geometrical parameters, material parameters and adaptive coefficients in the main transduction algorithm; in effect, the variety of the described results were achieved by the faster response time and robustness proportionated by transducers of nanostructures based on Anodic Aluminum Oxide (AAO), which enhanced the designed sensor/transducer (ST) during operation in intricate geographic places, such as the Andes mountains of Peru.



https://doi.org/10.3390/math10142403
Meng, Chao; He, Weidong; Kong, Zhen; Liang, Zhenyan; Zhao, Huaping; Lei, Yong; Wu, Yongzhong; Hao, Xiaopeng
Multifunctional water-organic hybrid electrolyte for rechargeable zinc ions batteries. - In: The chemical engineering journal, ISSN 1873-3212, Bd. 450 (2022), 3, 138265

Uncontrollable dendrite growth and parasitic reactions are the fundamental obstacles to achieve large-scale application of aqueous Zn-ion batteries. Herein, a new strategy of tuning the electrolyte solvation structure and electrode interface is demonstrated for highly reversible zinc plating/stripping. Acetonitrile (AN) is introduced into Zn(OTf)2 electrolyte as co-solvent, the interaction between Zn2+ and acetonitrile attenuates the Zn2+ solvation and water activity. Concomitantly, theoretical calculations demonstrate that acetonitrile molecules tend to adsorb on the surface of zinc electrode to form an adaptive zinc-electrolyte interface. Such an electrolyte engineering significantly prevents water hydrogen evolution, suppresses vanadium dissolution and modulates Zn deposition behavior. As proof of concept, Zn//Zn symmetric cells with acetonitrile additive exhibit a ultra-long cycling of 2100 h at a high current density of 5 mA cm^-2. In particular, the university of the acetonitrile-water co-solvent (AWCS) electrolyte is demonstrated, multiple battery systems (Zn//Al-V-O, Zn//Zn-V-O, Zn//VOOH, and Zn//Mn-V-O) deliver markedly improved cycling stability and rate performance. The mechanism of action of AWCS electrolyte on performance indicators is discussed in detail, which provides a promising insight for energy storage devices.



https://doi.org/10.1016/j.cej.2022.138265
Schmidt-Grund, Rüdiger; Sturm, Chris; Hertwig, Andreas
Ellipsometry and polarimetry - classical measurement techniques with always new developments, concepts, and applications. - In: Advanced Optical Technologies, ISSN 2192-8584, Bd. 11 (2022), 3/4, S. 57-58

https://doi.org/10.1515/aot-2022-0025
Mazétyté-Stasinskiené, Raminta; Freiberger, Emma; Täuscher, Eric; Köhler, Michael
Four-level structural hierarchy: microfluidically supported synthesis of polymer particle architectures incorporating fluorescence-labeled components and metal nanoparticles. - In: Langmuir, ISSN 1520-5827, Bd. 38 (2022), 29, S. 8794-8804

Hierarchical assemblies of functional polymer particles are promising due to their surface as well as physicochemical properties. However, hierarchical composites are complex and challenging to form due to the many steps necessary for integrating different components into one system. Highly structured four-level composite particles were formed in a four-step process. First of all, gold (Au) nanoparticles, poly(methyl methacrylate) (PMMA) nanoparticles, and poly(tripropylene glycol diacrylate) (poly-TPGDA) microparticles were individually synthesized. By applying microfluidic techniques, polymer nano- and microparticles were formed with tunable size and surface properties. Afterwards, the negatively charged gold nanoparticles and PMMA particles functionalized with a positively charged surface were mixed to form Au/PMMA assemblies. The Au/PMMA composites were mixed and incubated with poly-TPGDA microparticles to form ternary Au/PMMA/poly-TPGDA assemblies. For the formation of composite-containing microparticles, Au/PMMA/poly-TPGDA composites were dispersed in an aqueous acrylamide-methylenebisacrylamide solution. Monomer droplets were formed in a co-flow microfluidic device and photopolymerized by UV light. In this way, hierarchically structured four-level composites consisting of four different size ranges - 0.025/0.8/30/1000 μm - were obtained. By functionalizing polymer nano- and microparticles with different fluorescent dyes, it was possible to visualize the same composite particle under two different excitation modes (λex = 395-440 and λex = 510-560 nm). The Au/PMMA/poly-TPGDA composite-embedded polyacrylamide microparticles can be potentially used as a model for the creation of composite particles for sensing, catalysis, multilabeling, and biomedical applications.



https://doi.org/10.1021/acs.langmuir.2c00686
Zhang, Yi; Zhang, Chenglin; Fu, Qun; Zhao, Huaping; Lei, Yong
Modified polydopamine derivatives as high-performance organic anodes for potassium-ion batteries. - In: Sustainable energy & fuels, ISSN 2398-4902, Bd. 6 (2022), 15, S. 3527-3535

Polydopamine (PDA) as a carbon source and a versatile coating material has been widely studied in rechargeable battery electrodes. However, it is rare to directly utilize PDA as an organic anode for ion storage, especially in potassium-ion batteries (PIBs). In this work, modified PDA (MPDA-350) with a porous structure is synthesized by collective methods of template-assisted and low-temperature pyrolysis, which endows PDA with large ion diffusion tunnels and increased active sites for K+ ion storage. Moreover, contrast experiments demonstrate that the annealing process with an appropriate temperature can increase the content and activity of electroactive groups in MPDA-350. The prepared MPDA-350 is first applied to PIBs that deliver high reversible capacity (384.9 mA h g^-1 at 100 mA g^-1) and very stable cyclability (99.94% capacity retention after 500 cycles). This work provides a new insight for the expansion of high-performance organic anodes for PIBs.



https://doi.org/10.1039/D2SE00684G
Xu, Bowen; Zhang, Da; Chang, Shilei; Hou, Minjie; Peng, Chao; Xue, Dongfeng; Yang, Bin; Lei, Yong; Liang, Feng
Fabrication of long-life quasi-solid-state Na-CO2 battery by formation of Na2C2O4 discharge product. - In: Cell reports, ISSN 2666-3864, Bd. 3 (2022), 7, 100973, S. 1-15

Rechargeable Na-CO2 batteries are promising energy-storage devices due to their high energy density, environmental friendliness, and cost effectiveness. However, the insulating nature and irreversibility of the Na2CO3 discharge product cause large polarization and poor cyclicity. Here, we report a reversible quasi-solid-state Na-CO2 battery that is constructed by the synergistic action of a Co-encapsulated N-doped carbon framework catalyst and gel electrolyte to ensure the formation of a highly reversible Na2C2O4 discharge product. Experiments and density functional theory calculations indicate that the electron-agglomeration effect of Co nanoparticles enhances CO2 adsorption and lowers energy barrier, as well as promotes Na2C2O4 generation. A gel electrolyte containing an imidazole organic cation is used to inhibit the decomposition of the thermodynamically unstable Na2C2O4. The fabricated Na-CO2 battery exhibits a high discharge capacity of 3,094 mAh g^-1, a high-rate performance of 1,777 mAh g^-1 at a current density of 0.5 mA cm^-2, and excellent cycling performance of 366 cycles (2,200 h).



https://doi.org/10.1016/j.xcrp.2022.100973
Yang, Guowei; Yan, Chengzhan; Hu, Ping; Fu, Qun; Zhao, Huaping; Lei, Yong
Synthesis of CoSe2 reinforced nitrogen-doped carbon composites as advanced anodes for potassium-ion batteries. - In: Inorganic chemistry frontiers, ISSN 2052-1553, Bd. 9 (2022), 15, S. 3719-3727

Potassium-ion batteries (PIBs) are considered potential candidates for large-scale energy storage applications with cost superiority. However, the development of PIBs is severely restricted by the sluggish electrochemical kinetics and severe volume expansion of anode materials. Herein, CoSe2 reinforced nitrogen-doped carbon composites (CoSe2C) are synthesized via a simple solution-based etching-coating method and further studied as high-performance anodes for PIBs. Electrochemical characterization studies indicate that the potassium storage performance of CoSe2@C composite anodes relies on the initial mass ratio of CoSe2 nanosheets and carbon precursors (that is dopamine hydrochloride) during the synthesis process. In the case of the mass ratio of CoSe2 nanosheets and dopamine hydrochloride being 1 : 1, the as-obtained CoSe2@C-1 : 1 anode exhibits a high reversible capacity (366.1 mA h g^-1 at 0.1 A g^-1 after 100 cycles), an excellent long-cycle stability (237.6 mA h g^-1 at 1.0 A g^-1 after 1000 cycles), and a good rate capability (281.5 mA h g^-1 at 5.0 A g^-1). The optimum performance of CoSe2@C-1 : 1 as a PIB anode in terms of cycling stability and kinetics is attributed to the uniform distribution of CoSe2 nanoparticles inside the carbon matrix.



https://doi.org/10.1039/D2QI00848C
Konkin, Alexander; Ritter, Uwe; Konkin, Aleksei A.; Knauer, Andrea; Krinichnyi, Victor I.; Klochkov, Vladimir; Aganov, Albert; Gafurov, Marat; Wendler, Frank; Scharff, Peter
PPDN and NTCDA radical anions formation in EMIM-DCA, BMIM-BF4 EMIM-Ac ionic liquid solutions under the steady state UV and Vis light illumination: a combined X-, K-band EPR and DFT study. - In: Journal of molecular liquids, ISSN 1873-3166, Bd. 362 (2022), 119631

The radical anion of Pyrazino[2,3-f][1,10]phenanthroline-2,3-dicarbonitrile (PPDN) in blends with imidazolium based room temperature ionic liquids (RTIL): EMIM-DCA, BMIM-BF4, EMIM-Ac has been detected by X-band continues wave (CW) electron paramagnetic resonance (EPR) under steady state Xe-lamp illumination in the temperature interval from 190 to 340 K. The radical anion of 1,4,5,8-Naphthalenetetracarboxylic dianhydride (NTCDA) was registered by X- and K-band CW EPR at room temperature under the visible light CW diode laser operated at 532 nm, and Xe-lamp as well. The experimental hyperfine coupling data of both anion radicals were confirmed by DFT calculation. The formation of PPDN•- NTCDA•- and fullerene derivative (FD) radical anions is attributed to the photoelectron transfer from an IL anion to PPDN, NTCDA and FD electron acceptors. Here, the electron transfer leads to an irreversibility of these reactions due to photo-induced decomposition of the IL anions in the presence of an effective electron acceptor and is supported in the above RTILs solutions by means of EPR. For the indirect confirmation of the EMIM-DCA, EMIM-AC, BMIM-BF4 anion degradation in solutions with PPDN and NTCDA up to the transient radical state, similar data of acetate anion [OCOCH3]- decomposition, under CW Xe-Lamp photolysis resulting in •CH3 formation and its stabilization at 77 K in EMIM-Ac suspension with some FD dissolved in DCB are introduced as well. However, the main goal of this study is dedicated to the features of rotational and translational diffusion kinetics of PPDN and NTCDA radical anions in IL solutions as well to the evaluation of their application as a spin probes in ILs study in liquid phase.



https://doi.org/10.1016/j.molliq.2022.119631