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Computational Intelligence Packages (CIP) for Mathematica [Softwarecode, Version 3.0]
No full textCIP is an open-source high-level function library for (non-linear) curve fitting and data smoothing (with cubic splines), clustering (k-medoids, ART-2a) and machine learning (multiple linear/polynomial regression, feed-forward perceptron-type shallow and deep neural networks and support vector machines). In addition it provides several heuristics for the selection of training and test data or methods to estimate the relevance of data input components. CIP is built on top of the computing platform Mathematica to exploit its algorithmic and graphical capabilities
Investigation of avascular tumor–immune system interactions using a CA–PDE model
No full textWe report on investigations that illustrate the interaction between the specific immune system and a young avascular tumor growing due to a diffusive nutrient supply. We formulate a hybrid cellular automata-partial differential equation (CA-PDE) model which includes cell cycle dynamics and allows for tracking the spatial and temporal evolution of this elaborate biological system. We present results of two dimensional numerical simulations that, specifically in this work, include special cases of the spherical and papillary tumor growth, the infiltration of immune system cells into the tumor and the escape of tumor cells from the regime of the immune cells
Entwicklung einer nanoskaligen Kupferlackdrahtbeschichtung für den Einsatz in der Automobil- und Medizintechnik
No full textBiofunktionalisierung von Titanimplantaten mit einem Multilayersystem aus BMP-2 und Fibronektin
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A molecular architecture for the selective suppression of bacterial adsorption and the promotion of specific cell adhesion
No full textMagnus expansion for a chirped quantum two-level system
No full textWe derive a Magnus expansion for a frequency chirped quantum two-level system. We obtain a time-independent effective Hamiltonian which generates a stroboscopic time evolution. At lowest order the according dynamics is identical to results from using a rotating wave approximation. We determine, furthermore, also the next higher-order corrections within our expansion scheme in correspondence to the Bloch-Siegert shifts for harmonically driven systems. Importantly, our scheme can be extended to more complicated systems, i.e., even many-body systems