@inproceedings{BuniatyanHuckPoghossianetal.2014,
  author    = {Buniatyan, V. V. and Huck, Christina and Poghossian, Arshak and Sch{\"o}ning, Michael Josef and Rustamyan, L. G. and Hovnikyan, H. H.},
  title     = {Equivalent circuit and optimization of impedance characteristics of an electrolyte conductivity sensor},
  series = {Proceedings of State Engineering University Armenia : Series Information technologies, electronics, radio engineering},
  volume    = {Iss. 17},
  booktitle = {Proceedings of State Engineering University Armenia : Series Information technologies, electronics, radio engineering},
  number    = {No. 1},
  pages     = {69 -- 76},
  year      = {2014},
  language  = {en}
}
@inproceedings{BaeckerSchusserLeinhosetal.2014,
  author    = {B{\"a}cker, Matthias and Schusser, Sebastian and Leinhos, Marcel and Poghossian, Arshak and Sch{\"o}ning, Michael Josef},
  title     = {Sensor system for the monitoring of degradation processes of biodegradable biopolymers},
  series = {Sensoren und Messsysteme 2014 ; Beitr{\"a}ge der 17. GMA/ITG-Fachtagung vom 3. bis 4. Juni 2014 in N{\"u}rnberg. (ITG-Fachbericht ; 250)},
  booktitle = {Sensoren und Messsysteme 2014 ; Beitr{\"a}ge der 17. GMA/ITG-Fachtagung vom 3. bis 4. Juni 2014 in N{\"u}rnberg. (ITG-Fachbericht ; 250)},
  publisher = {VDE-Verl.},
  address   = {D{\"u}sseldorf},
  organization    = {VDI/VDE-Gesellschaft Mess- und Automatisierungstechnik},
  isbn      = {978-3-8007-3622-5},
  pages     = {1 -- 4},
  year      = {2014},
  language  = {en}
}
@article{LeinhosSchusserBaeckeretal.2014,
  author    = {Leinhos, Marcel and Schusser, Sebastian and B{\"a}cker, Matthias and Poghossian, Arshak and Sch{\"o}ning, Michael Josef},
  title     = {Micromachined multi-parameter sensor chip for the control of polymer-degradation medium},
  series = {Physica Status Solidi (A) : special issue on engineering and functional interfaces},
  volume    = {211},
  journal   = {Physica Status Solidi (A) : special issue on engineering and functional interfaces},
  number    = {6},
  publisher = {Wiley-VCH},
  address   = {Weinheim},
  issn      = {1521-396X (E-Journal); 1862-6319 (E-Journal); 0031-8965 (Print); 1862-6300 (Print)},
  doi       = {10.1002/pssa.201330364},
  pages     = {1346 -- 1351},
  year      = {2014},
  abstract  = {It is well known that the degradation environment can strongly influence the biodegradability and kinetics of biodegradation processes of polymers. Therefore, besides the monitoring of the degradation process, it is also necessary to control the medium in which the degradation takes place. In this work, a micromachined multi-parameter sensor chip for the control of the polymer-degradation medium has been developed. The chip combines a capacitive field-effect pH sensor, a four-electrode electrolyte-conductivity sensor and a thin-film Pt-temperature sensor. The results of characterization of individual sensors are presented. In addition, the multi-parameter sensor chip together with an impedimetric polymer-degradation sensor was simultaneously characterized in degradation solutions with different pH and electrolyte conductivity. The obtained results demonstrate the feasibility of the multi-parameter sensor chip for the control of the polymer-degradation medium.},
  language  = {en}
}
@article{HuckPoghossianBaeckeretal.2014,
  author    = {Huck, Christina and Poghossian, Arshak and B{\"a}cker, Matthias and Chaudhuri, S. and Zander, W. and Schubert, J. and Begoyan, V. K. and Buniatyan, V. V. and Wagner, P. and Sch{\"o}ning, Michael Josef},
  title     = {Capacitively coupled electrolyte-conductivity sensor based on high-k material of barium strontium titanate},
  series = {Sensors and actuators. B: Chemical},
  journal   = {Sensors and actuators. B: Chemical},
  number    = {198},
  publisher = {Elsevier},
  address   = {Amsterdam},
  issn      = {1873-3077 (E-Journal); 0925-4005 (Print)},
  doi       = {10.1016/j.snb.2014.02.103},
  pages     = {102 -- 109},
  year      = {2014},
  language  = {en}
}
@article{BaeckerKramerHucketal.2014,
  author    = {B{\"a}cker, Matthias and Kramer, F. and Huck, Christina and Poghossian, Arshak and Bratov, A. and Abramova, N. and Sch{\"o}ning, Michael Josef},
  title     = {Planar and 3D interdigitated electrodes for biosensing applications: The impact of a dielectric barrier on the sensor properties},
  series = {Physica Status Solidi (A) - Applications and Materials Science},
  volume    = {211},
  journal   = {Physica Status Solidi (A) - Applications and Materials Science},
  number    = {6},
  publisher = {Wiley-VCH},
  address   = {Weinheim},
  issn      = {1521-396X (E-Journal); 1862-6319 (E-Journal); 0031-8965 (Print); 1862-6300 (Print)},
  doi       = {10.1002/pssa.201330416},
  pages     = {1357 -- 1363},
  year      = {2014},
  abstract  = {Planar and three-dimensional (3D) interdigitated electrodes (IDE) with electrode digits separated by an insulating barrier of different heights were electrochemically characterized and compared in terms of their sensing properties. Due to the impact of the surface resistance, both types of IDE structures display a non-linear behavior in low-ionic strength solutions. The experimental data were fitted to an electrical equivalent circuit and interpreted taking into account the surface-charge-governed properties. The effect of a charged polyelectrolyte layer electrostatically assembled onto the sensor surface on the surface resistance in solutions with different KCl concentration is studied. In case of the same electrode footprint, 3D-IDEs show a larger cell constant and a higher sensitivity to molecular adsorption than that of planar IDEs. The obtained results demonstrate the potential of 3D-IDEs as a new transducer structure for a direct label-free sensing of charged molecules.},
  language  = {en}
}
@article{MoseleyHalamekKrameretal.2014,
  author    = {Moseley, Fiona and Halamek, Jan and Kramer, Friederike and Poghossian, Arshak and Sch{\"o}ning, Michael Josef and Katz, Evgeny},
  title     = {An enzyme-based reversible CNOT logic gate realized in a flow system},
  series = {Analyst},
  volume    = {139},
  journal   = {Analyst},
  number    = {8},
  publisher = {Royal Society of Chemistry},
  address   = {Cambridge},
  issn      = {1364-5528 (E-Journal) ; 0003-2654 (Print)},
  doi       = {10.1039/C4AN00133H},
  pages     = {1839 -- 1842},
  year      = {2014},
  abstract  = {An enzyme system organized in a flow device was used to mimic a reversible Controlled NOT (CNOT) gate with two input and two output signals. Reversible conversion of NAD⁺ and NADH cofactors was used to perform a XOR logic operation, while biocatalytic hydrolysis of p-nitrophenyl phosphate resulted in an Identity operation working in parallel. The first biomolecular realization of a CNOT gate is promising for integration into complex biomolecular networks and future biosensor/biomedical applications.},
  language  = {en}
}
@article{HuckPoghossianKerroumietal.2014,
  author    = {Huck, Christina and Poghossian, Arshak and Kerroumi, Iman and Schusser, Sebastian and B{\"a}cker, Matthias and Zander, Willi and Schubert, J{\"u}rgen and Buniatyan, Vahe V. and Martirosyan, Norayr W. and Wagner, Patrick and Sch{\"o}ning, Michael Josef},
  title     = {Multiparameter sensor chip with Barium Strontium Titanate as multipurpose material},
  series = {Electroanalysis},
  volume    = {26},
  journal   = {Electroanalysis},
  number    = {5},
  publisher = {Wiley-VCH},
  address   = {Weinheim},
  issn      = {1521-4109 (E-Journal); 1040-0397 (Print)},
  doi       = {10.1002/elan.201400076},
  pages     = {980 -- 987},
  year      = {2014},
  abstract  = {It is well known that biochemical and biotechnological processes are strongly dependent and affected by a variety of physico-chemical parameters such as pH value, temperature, pressure and electrolyte conductivity. Therefore, these quantities have to be monitored or controlled in order to guarantee a stable process operation, optimization and high yield. In this work, a sensor chip for the multiparameter detection of three physico-chemical parameters such as electrolyte conductivity, pH and temperature is realized using barium strontium titanate (BST) as multipurpose material. The chip integrates a capacitively coupled four-electrode electrolyte-conductivity sensor, a capacitive field-effect pH sensor and a thin-film Pt-temperature sensor. Due to the multifunctional properties of BST, it is utilized as final outermost coating layer of the processed sensor chip and serves as passivation and protection layer as well as pH-sensitive transducer material at the same time. The results of testing of the individual sensors of the developed multiparameter sensor chip are presented. In addition, a quasi-simultaneous multiparameter characterization of the sensor chip in buffer solutions with different pH value and electrolyte conductivity is performed. To study the sensor behavior and the suitability of BST as multifunctional material under harsh environmental conditions, the sensor chip was exemplarily tested in a biogas digestate.},
  language  = {en}
}
@article{WuBronderPoghossianetal.2014,
  author    = {Wu, Chunsheng and Bronder, Thomas and Poghossian, Arshak and Werner, Frederik and B{\"a}cker, Matthias and Sch{\"o}ning, Michael Josef},
  title     = {Label-free electrical detection of DNA with a multi-spot LAPS: First step towards light-addressable DNA chips},
  series = {Physica status solidi A : Applications and materials science},
  volume    = {211},
  journal   = {Physica status solidi A : Applications and materials science},
  number    = {6},
  publisher = {Wiley-VCH},
  address   = {Weinheim},
  issn      = {1521-396X (E-Journal); 1862-6319 (E-Journal); 0031-8965 (Print); 1862-6300 (Print)},
  doi       = {10.1002/pssa.201330442},
  pages     = {1423 -- 1428},
  year      = {2014},
  abstract  = {A multi-spot (4 × 4 spots) light-addressable potentiometric sensor (MLAPS) consisting of an Al-p-Si-SiO2 structure has been applied for the label-free electrical detection of DNA (deoxyribonucleic acid) immobilization and hybridization by the intrinsic molecular charge for the first time. Single-stranded probe ssDNA molecules (20 bases) were covalently immobilized onto the silanized SiO2 gate surface. The unspecific adsorption of mismatch ssDNA on the MLAPS gate surface was blocked by bovine serum albumin molecules. To reduce the screening effect and to achieve a high sensor signal, the measurements were performed in a low ionic-strength solution. The photocurrent-voltage (I-V) curves were simultaneously recorded on all 16 spots after each surface functionalization step. Large shifts of I-V curves of 25 mV were registered after the DNA immobilization and hybridization event. In contrast, a small potential shift (∼5 mV) was observed in case of mismatch ssDNA, revealing good specificity of the sensor. The obtained results demonstrate the potential of the MLAPS as promising transducer platform for the multi-spot label-free electrical detection of DNA molecules by their intrinsic molecular charge.},
  language  = {en}
}
@article{BaeckerSchusserPoghossianetal.2014,
  author    = {B{\"a}cker, Matthias and Schusser, Sebastian and Poghossian, Arshak and Sch{\"o}ning, Michael Josef},
  title     = {Multi-Parametererfassung mit siliziumbasiertem Sensorchip: Aus Drei mach Eins},
  series = {GIT Labor-Fachzeitschrift},
  journal   = {GIT Labor-Fachzeitschrift},
  number    = {2},
  publisher = {Wiley},
  issn      = {0016-3538},
  pages     = {28 -- 30},
  year      = {2014},
  language  = {de}
}
@incollection{PoghossianWeilandSchoening2014,
  author    = {Poghossian, Arshak and Weiland, Maryam and Sch{\"o}ning, Michael Josef},
  title     = {Nanoplate field-effect capacitors: a new transducer structure for multiparameter (bio-)chemical sensing},
  series = {Multisensor system for chemical analysis : materials and sensors},
  booktitle = {Multisensor system for chemical analysis : materials and sensors},
  editor    = {Lvova, Larisa and Kirsanov, Dmitry and di Natale, Corrado and Legin, Audrey},
  edition   = {1},
  publisher = {Jenny Stanford Publishing},
  address   = {Singapore},
  isbn      = {978-981-4411-15-8 ; 978-981-4411-16-5},
  doi       = {10.1201/b15491-11},
  pages     = {333 -- 373},
  year      = {2014},
  abstract  = {An array of electrically isolated nanoplate field-effect silicon-on-insulator (SOI) capacitors as a new transducer structure for multiparameter (bio-)chemical sensing is presented. The proposed approach allows addressable biasing and electrical readout of multiple nanoplate field-effect capacitive (bio-)chemical sensors on the same SOI chip, as well as differential-mode measurements. The realized sensor chip has been applied for pH and penicillin concentration measurements, electrical monitoring of polyelectrolyte multilayer formation, and the label-free electrical detection of consecutive deoxyribonucleic acid (DNA) hybridization and denaturation events.},
  language  = {en}
}
@article{OberlaenderBrommWendeleretal.2015,
  author    = {Oberl{\"a}nder, Jan and Bromm, Alexander and Wendeler, Luisa and Iken, Heiko and Palomar Duran, Marlena and Greeff, Anton and Kirchner, Patrick and Keusgen, Michael and Sch{\"o}ning, Michael Josef},
  title     = {Towards a biosensor to monitor the sterilisation efficiency of aseptic filling machines},
  series = {Physica status solidi (a)},
  volume    = {212},
  journal   = {Physica status solidi (a)},
  number    = {6},
  publisher = {Wiley},
  address   = {Weinheim},
  issn      = {1862-6319},
  doi       = {10.1002/pssa.201431900},
  pages     = {1299 -- 1305},
  year      = {2015},
  abstract  = {Sterilisation processes are compulsory in medicine, pharmacy, and food industries to prevent infections of consumers and microbiological contaminations of products. Monitoring the sterilisation by conventional microbiological methods is time- and lab-consuming. To overcome this problem, in this work a novel biosensor has been proposed. The sensor enables a fast method to evaluate sterilisation processes. By means of thin-film technology the sensor's transducer structures in form of IDEs (interdigitated electrodes) have been fabricated on a silicon substrate. Physical characterisation of the developed sensor was done by AFM, SEM, and profilometry. Impedance analyses were conducted for the electrical characterisation. As microbiological layer spores of B. atrophaeus have been immobilised on the sensing structure; spores of this type are a well-known sterilisation test organism. Impedance measurements at a fixed frequency over time were performed to monitor the immobilisation process. A sterilisation process according to aseptic filling machines was applied to demonstrate the sensor functionality. After both, immobilisation and sterilisation, a change in impedance could successfully be detected.},
  language  = {en}
}
@article{JildehWagnerSchoeningetal.2015,
  author    = {Jildeh, Zaid B. and Wagner, Torsten and Sch{\"o}ning, Michael Josef and Pieper, Martin},
  title     = {Simulating the electromagnetic-thermal treatment of thin aluminium layers for adhesion improvement},
  series = {Physica status solidi (a)},
  volume    = {Vol. 212},
  journal   = {Physica status solidi (a)},
  number    = {6},
  publisher = {Wiley},
  address   = {Weinheim},
  issn      = {1862-6319},
  doi       = {10.1002/pssa.201431893},
  pages     = {1234 -- 1241},
  year      = {2015},
  abstract  = {A composite layer material used in packaging industry is made from joining layers of different materials using an adhesive. An important processing step in the production of aluminium-containing composites is the surface treatment and consequent coating of adhesive material on the aluminium surface. To increase adhesion strength between aluminium layer and the adhesive material, the foil is heat treated. For efficient heating, induction heating was considered as state-of-the-art treatment process. Due to the complexity of the heating process and the unpredictable nature of the heating source, the control of the process is not yet optimised. In this work, a finite element analysis of the process was established and various process parameters were studied. The process was simplified and modelled in 3D. The numerical model contains an air domain, an aluminium layer and a copper coil fitted with a magnetic field concentrating material. The effect of changing the speed of the aluminium foil (or rolling speed) was studied with the change of the coil current. Statistical analysis was used for generating a general control equation of coil current with changing rolling speed.},
  language  = {en}
}
@article{PilasIkenSelmeretal.2015,
  author    = {Pilas, Johanna and Iken, Heiko and Selmer, Thorsten and Keusgen, Michael and Sch{\"o}ning, Michael Josef},
  title     = {Development of a multi-parameter sensor chip for the simultaneous detection of organic compounds in biogas processes},
  series = {Physica status solidi (a)},
  volume    = {212},
  journal   = {Physica status solidi (a)},
  number    = {6},
  publisher = {Wiley},
  address   = {Weinheim},
  issn      = {1862-6319},
  doi       = {10.1002/pssa.201431894},
  pages     = {1306 -- 1312},
  year      = {2015},
  abstract  = {An enzyme-based multi-parameter biosensor is developed for monitoring the concentration of formate, d-lactate, and l-lactate in biological samples. The sensor is based on the specific dehydrogenation by an oxidized β-nicotinamide adenine dinucleotide (NAD+)-dependent dehydrogenase (formate dehydrogenase, d-lactic dehydrogenase, and l-lactic dehydrogenase, respectively) in combination with a diaphorase from Clostridium kluyveri (EC 1.8.1.4). The enzymes are immobilized on a platinum working electrode by cross-linking with glutaraldehyde (GA). The principle of the determination scheme in case of l-lactate is as follows: l-lactic dehydrogenase (l-LDH) converts l-lactate into pyruvate by reaction with NAD+. In the presence of hexacyanoferrate(III), the resulting reduced β-nicotinamide adenine dinucleotide (NADH) is then regenerated enzymatically by diaphorase. The electrochemical detection is based on the current generated by oxidation of hexacyanoferrate(II) at an applied potential of +0.3 V vs. an Ag/AgCl reference electrode. The biosensor will be electrochemically characterized in terms of linear working range and sensitivity. Additionally, the successful practical application of the sensor is demonstrated in an extract from maize silage.},
  language  = {en}
}
@article{BreuerRaueKirschbaumetal.2015,
  author    = {Breuer, Lars and Raue, Markus and Kirschbaum, M. and Mang, Thomas and Sch{\"o}ning, Michael Josef and Thoelen, R. and Wagner, Torsten},
  title     = {Light-controllable polymeric material based on temperature-sensitive hydrogels with incorporated graphene oxide},
  series = {Physica status solidi (a)},
  volume    = {212},
  journal   = {Physica status solidi (a)},
  number    = {6},
  publisher = {Wiley},
  address   = {Weinheim},
  issn      = {1862-6319},
  doi       = {10.1002/pssa.201431944},
  pages     = {1368 -- 1374},
  year      = {2015},
  abstract  = {Poly(N-isopropylacrylamide) (PNIPAAm) hydrogel films with incorporated graphene oxide (GO) were developed and tested as light-stimulated actuators. GO dispersions were synthesized via Hummers method and characterized toward their optical properties and photothermal energy conversion. The hydrogels were prepared by means of photopolymerization. In addition, the influence of GO within the hydrogel network on the lower critical solution temperature (LCST) was investigated by differential scanning calorimetry (DSC). The optical absorbance and the response to illumination were determined as a function of GO concentration for thin hydrogel films. A proof of principle for the stimulation with light was performed.},
  language  = {en}
}
@article{SchiffelsSelmer2015,
  author    = {Schiffels, Johannes and Selmer, Thorsten},
  title     = {A flexible toolbox to study protein-assisted metalloenzyme assembly in vitro},
  series = {Biotechnology and Bioengineering},
  volume    = {112},
  journal   = {Biotechnology and Bioengineering},
  number    = {11},
  publisher = {Wiley},
  address   = {Weinheim},
  issn      = {1097-0290},
  doi       = {10.1002/bit.25658},
  pages     = {2360 -- 2372},
  year      = {2015},
  language  = {en}
}
@article{DantismTakenagaWagneretal.2015,
  author    = {Dantism, S. and Takenaga, S. and Wagner, P. and Wagner, Torsten and Sch{\"o}ning, Michael Josef},
  title     = {Light-addressable Potentiometric Sensor (LAPS) Combined with Multi-chamber Structures to Investigate the Metabolic Activity of Cells},
  series = {Procedia Engineering},
  volume    = {120},
  journal   = {Procedia Engineering},
  publisher = {Elsevier},
  address   = {Amsterdam},
  issn      = {1877-7058},
  doi       = {10.1016/j.proeng.2015.08.647},
  pages     = {384 -- 387},
  year      = {2015},
  abstract  = {LAPS are field-effect-based potentiometric sensors which are able to monitor analyte concentrations in a spatially resolved manner. Hence, a LAPS sensor system is a powerful device to record chemical imaging of the concentration of chemical species in an aqueous solution, chemical reactions, or the growth of cell colonies on the sensor surface, to record chemical images. In this work, multi-chamber 3D-printed structures made out of polymer (PP-ABS) were combined with LAPS chips to analyse differentially and simultaneously the metabolic activity of Escherichia coli K12 and Chinese hamster ovary (CHO) cells, and the responds of those cells to the addition of glucose solution.},
  language  = {en}
}
@article{PilasMarianoKeusgenetal.2015,
  author    = {Pilas, Johanna and Mariano, K. and Keusgen, M. and Selmer, Thorsten and Sch{\"o}ning, Michael Josef},
  title     = {Optimization of an Enzyme-based Multi-parameter Biosensor for Monitoring Biogas Processes},
  series = {Procedia Engineering},
  volume    = {120},
  journal   = {Procedia Engineering},
  publisher = {Elsevier},
  address   = {Amsterdam},
  issn      = {1877-7058},
  doi       = {10.1016/j.proeng.2015.08.702},
  pages     = {532 -- 535},
  year      = {2015},
  language  = {en}
}
@article{MiyamotoBingWagneretal.2015,
  author    = {Miyamoto, Ko-ichiro and Bing, Yu and Wagner, Torsten and Yoshinobu, Tatsuo and Sch{\"o}ning, Michael Josef},
  title     = {Visualization of Defects on a Cultured Cell Layer by Utilizing Chemical Imaging Sensor},
  series = {Procedia Engineering},
  volume    = {120},
  journal   = {Procedia Engineering},
  publisher = {Elsevier},
  address   = {Amsterdam},
  issn      = {1877-7058},
  doi       = {10.1016/j.proeng.2015.08.806},
  pages     = {936 -- 939},
  year      = {2015},
  abstract  = {The chemical imaging sensor is a field-effect sensor which is able to visualize both the distribution of ions (in LAPS mode) and the distribution of impedance (in SPIM mode) inthe sample. In this study, a novel wound-healing assay is proposed, in which the chemical imaging sensor operated in SPIM mode is applied to monitor the defect of a cell layer brought into proximity of the sensing surface.A reduced impedance inside the defect, which was artificially formed ina cell layer, was successfully visualized in a photocurrent image.},
  language  = {en}
}
@article{BrahmaMusioIsmayilovaetal.2015,
  author    = {Brahma, Aischarya and Musio, Biagia and Ismayilova, Uliviya and Nikbin, Nikzad and Kamptmann, Sonja B. and Siegert, Petra and Jeromin, G{\"u}nter Erich and Ley, Steven and Pohl, Martina},
  title     = {An orthogonal biocatalytic approach for the safe generation and use of HCN in a multi-step continuous preparation of chiral O-acetylcyanohydrins},
  series = {Synlett},
  journal   = {Synlett},
  number    = {Publ. online 29.09.2015},
  publisher = {Thieme},
  address   = {Stuttgart},
  issn      = {0936-5214 (Print) ; 1437-2096 (e-Journal)},
  doi       = {10.1055/s-0035-1560644},
  year      = {2015},
  language  = {de}
}
@article{OberlaenderJildehKirchneretal.2015,
  author    = {Oberl{\"a}nder, Jan and Jildeh, Zaid B. and Kirchner, Patrick and Wendeler, Luisa and Bromm, Alexander and Iken, Heiko and Wagner, Patrick and Keusgen, Michael and Sch{\"o}ning, Michael Josef},
  title     = {Study of Interdigitated Electrode Arrays Using Experiments and Finite Element Models for the Evaluation of Sterilization Processes},
  series = {Sensors},
  volume    = {15},
  journal   = {Sensors},
  number    = {10},
  publisher = {MDPI},
  address   = {Basel},
  issn      = {1424-8220},
  doi       = {10.3390/s151026115},
  pages     = {26115 -- 26127},
  year      = {2015},
  abstract  = {In this work, a sensor to evaluate sterilization processes with hydrogen peroxide vapor has been characterized. Experimental, analytical and numerical methods were applied to evaluate and study the sensor behavior. The sensor set-up is based on planar interdigitated electrodes. The interdigitated electrode structure consists of 614 electrode fingers spanning over a total sensing area of 20 mm2. Sensor measurements were conducted with and without microbiological spores as well as after an industrial sterilization protocol. The measurements were verified using an analytical expression based on a first-order elliptical integral. A model based on the finite element method with periodic boundary conditions in two dimensions was developed and utilized to validate the experimental findings.},
  language  = {en}
}