TY  - CHAP
A1  - Abele, Daniel
A1  - Kleefeld, Andreas
ED  - Constanda, Christian
T1  - New Numerical Results for the Optimization of Neumann Eigenvalues
T2  - Computational and Analytic Methods in Science and Engineering
N2  - We present new numerical results for shape optimization problems of interior Neumann eigenvalues. This field is not well understood from a theoretical standpoint. The existence of shape maximizers is not proven beyond the first two eigenvalues, so we study the problem numerically. We describe a method to compute the eigenvalues for a given shape that combines the boundary element method with an algorithm for nonlinear eigenvalues. As numerical optimization requires many such evaluations, we put a focus on the efficiency of the method and the implemented routine. The method is well suited for parallelization. Using the resulting fast routines and a specialized parametrization of the shapes, we found improved maxima for several eigenvalues.
Y1  - 2020
SN  - 978-3-030-48185-8 (Print)
SN  - 978-3-030-48186-5 (Online)
U6  - https://doi.org/10.1007/978-3-030-48186-5_1
SP  - 1
EP  - 20
PB  - Birkhäuser
CY  - Cham
ER  - 
TY  - CHAP
A1  - Poghossian, Arshak
A1  - Schusser, Sebastian
A1  - Bäcker, Matthias
A1  - Leinhos, Marcel
A1  - Schöning, Michael Josef
T1  - Real-time in-situ electrical monitoring of the degradation of biopolymers using semiconductor field-effect devices
T2  - Biodegradable biopolymers. Vol. 1
Y1  - 2015
SN  - 978-1-63483-632-6
SP  - 135
EP  - 153
PB  - Nova Science Publ.
CY  - Hauppauge
ER  - 
TY  - CHAP
A1  - Kleefeld, Andreas
ED  - Constanda, Christian
T1  - Numerical calculation of interior transmission eigenvalues with mixed boundary conditions
T2  - Computational and Analytic Methods in Science and Engineering
N2  - Interior transmission eigenvalue problems for the Helmholtz equation play an important role in inverse wave scattering. Some distribution properties of those eigenvalues in the complex plane are reviewed. Further, a new scattering model for the interior transmission eigenvalue problem with mixed boundary conditions is described and an efficient algorithm for computing the interior transmission eigenvalues is proposed. Finally, extensive numerical results for a variety of two-dimensional scatterers are presented to show the validity of the proposed scheme.
Y1  - 2020
SN  - 978-3-030-48185-8 (Hardcover)
U6  - https://doi.org/10.1007/978-3-030-48186-5_9
SP  - 173
EP  - 195
PB  - Birkhäuser
CY  - Cham
ER  - 
TY  - CHAP
A1  - Koch, Claudia
A1  - Poghossian, Arshak
A1  - Wege, Christina
A1  - Schöning, Michael Josef
ED  - Wege, Christina
T1  - TMV-Based Adapter Templates for Enhanced Enzyme Loading in Biosensor Applications
T2  - Virus-Derived Nanoparticles for Advanced Technologies
N2  - Nanotubular tobacco mosaic virus (TMV) particles and RNA-free lower-order coat protein (CP) aggregates have been employed as enzyme carriers in different diagnostic layouts and compared for their influence on biosensor performance. In the following, we describe a label-free electrochemical biosensor for improved glucose detection by use of TMV adapters and the enzyme glucose oxidase (GOD). A specific and efficient immobilization of streptavidin-conjugated GOD ([SA]-GOD) complexes on biotinylated TMV nanotubes or CP aggregates was achieved via bioaffinity binding. Glucose sensors with adsorptively immobilized [SA]-GOD, and with [SA]-GOD cross-linked with glutardialdehyde, respectively, were tested in parallel on the same sensor chip. Comparison of these sensors revealed that TMV adapters enhanced the amperometric glucose detection remarkably, conveying highest sensitivity, an extended linear detection range and fastest response times. These results underline a great potential of an integration of virus/biomolecule hybrids with electronic transducers for applications in biosensorics and biochips. Here, we describe the fabrication and use of amperometric sensor chips combining an array of circular Pt electrodes, their loading with GOD-modified TMV nanotubes (and other GOD immobilization methods), and the subsequent investigations of the sensor performance.
KW  - Tobacco mosaic virus (TMV)
KW  - Coat protein
KW  - Enzyme nanocarrier
KW  - Glucose biosensor
KW  - Glucose oxidase
Y1  - 2018
SN  - 978-1-4939-7808-3
U6  - https://doi.org/10.1007/978-1-4939-7808-3
N1  - Methods in Molecular Biology, vol 1776
SP  - 553
EP  - 568
PB  - Humana Press
CY  - New York, NY
ER  - 
TY  - CHAP
A1  - Pieronek, Lukas
A1  - Kleefeld, Andreas
ED  - Constanda, Christian
ED  - Harris, Paul
T1  - The Method of Fundamental Solutions for Computing Interior Transmission Eigenvalues of Inhomogeneous Media
T2  - Integral Methods in Science and Engineering: Analytic Treatment and Numerical Approximations
N2  - The method of fundamental solutions is applied to the approximate computation of interior transmission eigenvalues for a special class of inhomogeneous media in two dimensions. We give a short approximation analysis accompanied with numerical results that clearly prove practical convenience of our alternative approach.
Y1  - 2019
SN  - 978-3-030-16077-7
U6  - https://doi.org/10.1007/978-3-030-16077-7_28
SP  - 353
EP  - 365
PB  - Birkhäuser
CY  - Cham
ER  -