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Mathematical Modelling and Data Analysis

Department 8.4

Projects

Determination of the state-of-health of Li-ion batteries

Determination of the state-of-health of Li-ion batteries

 

Period:08/2016 - 07/2019
Funding:    Industry partner
Partner:Industry partner

 

The determination of the state-of-health of batteries used for electromobility is highly relevant, especially in order to indicate the driving range of a charged battery. In a joint cooperation with an industrial partner, a statistical method for determining the state-of-health will be further developed by the departments “Physical Chemistry” and “Mathematical Modelling and Data Analysis”.

Further informationen: Opens internal link in current windowhere

Metrology for multi-modality imaging of impaired tissue perfusion

Metrology for multi-modality imaging of impaired tissue perfusion

 

Period:07/2016 - 06/2019
Funding:    European Metrology Programme for Innovation and Research (Opens external link in new windowEMPIR)
Partners:10 European national Metrology Institutes and Research Institutes
1 Industrial partners  ("Collaborators")

 

The aim of this project is to address metrology needs for the health sector by developing a physical standard for quantitative medical imaging applicable to a range of imaging techniques (modalities) and new data analysis techniques for patient care. This will support the reliability and traceability of clinical data and ensures the comparability of diagnostic and treatment information in clinical trials. In addition, the project will investigate metrological approaches for radiation protection to support the health protection of citizens.

Further information: Opens external link in new windowhere

Reference algorithms and metrology on aspherical and freeform optical lenses

Reference algorithms and metrology on aspherical and freeform optical lenses

 

Period:06/2016 - 05/2019
Funding:    European Metrology Programme for Innovation and Research (Opens external link in new windowEMPIR)
Partners:11 European national Metrology Institutes and Research Institutes
4 Industrial partners  ("Collaborators")

 

Aspheres and freeform surfaces are components used in a variety of optical systems, from medical imaging to astronomy. They deliver better image quality compared to traditional spherical elements and as a result their use is growing rapidly. However, the ability to develop higher-performance aspheres and freeform surfaces is limited by the precision with which the shape of their surface can be measured. Although modern optical polishing techniques can remove material at the nanometre level, measurement techniques are unable to measure with the same degree of precision. This project will build on the work of the previous EMRP project Opens external link in new windowIND10 Form, which achieved measurements below 100 nanometres, by developing new measurement capabilities within European National Measurement Institutes to routinely measure below 30 nanometres. The capabilities developed will strengthen Europe’s position in global optics, and will be used by industry to develop a new level in optical device performance.

Further information: Opens external link in new windowhere

Reconstruction of spatially resolved color spectra from continuous line scan camera measurements

Reconstruction of spatially resolved color spectra from continuous line scan camera measurements

 

Period:07/2015 - 06/2018
Funding:    Federal Ministry of Economics and Technology (BMWi)
Partners:Chromasens GmbH

 

Spectral color measurement is a fundamental application in many industrial areas, and it also becomes of increasing importance in automated machine control and quality assessment. Standard procedures employ spot color measurement devices with which a measurement of a complete specimen can be accomplished only with huge efforts. In contrast, line scanning cameras offer the theoretical advantage of spatially resolved measurements, allowing for a measurement of the complete specimen. However, for the wide spread use of such devices the current lack of robust and validated mathematical and statistical procedures for the reconstruction of the color spectra from the line scan camera measurements has to be overcome. An important practical challenge is to account for environmental influences, such as, for instance, the lighting situation or the filters employed.

In this project knowledge and experience of PTB together with practical expertise of the company Chromasens will be employed to derive a suitable algorithm, which based on knowledge about the environmental influences provides a reliable estimate of the spatially resolved color spectra measured by Chromasens' line scan camera.

Further information: Opens internal link in current windowhere

Control of multiscale reaction-diffusion patterns and application to biomembranes and cardiac dynamics

Control of multiscale reaction-diffusion patterns and application to biomembranes and cardiac dynamics

 

Period:01/2015 - 12/2018
Funding:    Projekt B5 des Sonderforschungsbereichs 910 ("Kontrolle selbstorganisierender nichtlinearer Systeme")
DFG (German Research Foundation)
Partners:Institute of Theoretical Physics, Technical University of Berlin

 

Multiscale pattern formation refers either to the simultaneous appearance of competing unstable modes with different critical wavelengths or to the interaction of pattern formation with spatial heterogeneities. This project will focus on control strategies in order to obtain desired or suppress unwanted patterns in multiscale reaction-diffusion systems. We plan (i) to study simple generic models to develop appropriate control methods like time delay and nonlocal coupling and (ii) to consider control of patterns on biomembranes as well as during pathological cardiac dynamics as applications for multiscale systems.

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Sensor Network Metrology for the Determination of Electrical Grid Characteristics

Sensor Network Metrology for the Determination of Electrical Grid Characteristics

 

Period:06/2014 - 05/2017
Funding:    European Metrology Research Programme (EMRP)
Partners:10 European national Metrology Institutes and Research Institutes
7 Industrial partners ("Collaborators")

 

Stromnetze im Mittel- und Niederspannungsbereich sind zunehmend einer bidirektionalen Lastenverteilung ausgesetzt. Dies erfordert auch auf dieser Ebene eine verlässliche Prognose, Überwachung und Schätzung des Netzzustandes. Da jedoch nur auf der Hochspannungsebene eine vollständige Messinfrastruktur vorhanden ist, erfordert die Bestimmung des Netzzustandes verlässliche mathematische Verfahren für unvollständig bekannte Zustandsraummodelle. Die PTB Arbeitsgruppe 8.42 entwickelt und untersucht daher zusammen mit 16europäischen Partnern geeignete mathematische und statistische Verfahren.

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Multiphase flow metrology in oil and gas production

Multiphase flow metrology in oil and gas production

 

Period:06/2014 - 05/2017
Funding:    European Metrology Research Programme (EMRP)
Partners:6 European national Metrology Institutes and Research Institutes
4 Industrial partners  ("Collaborators")

 

Typical multiphase measurement systems can have an uncertainty on component flow rate of 20% or greater under field conditions. The overall aim of the project is to help establish the infrastructure whereby multiphase flowmeters can be more reliably evaluated and/or verified for their application(s) – thereby enabling developers to advance state-of-the-art in flow measurement.To develop an accurate and validated metrological reference network, using test and calibration facilities for multiphase flow.

Further information: Opens internal link in current windowhere

Chemical regulation of aggregation and pattern formation of gliding bacteria

Chemical regulation of aggregation and pattern formation of gliding bacteria

 

Period:04/2014 - 09/2018
Funding:    DFG (German Research Foundation)
Project C4 within Research Training Group (GRK) 1558 Nonequilibrium Collective Dynamics in Condensed Matter and Biological Systems
Partners:Institute of Theoretical Physics, Technical University of Berlin

 

The multicellular aggregation of microorganisms like bacteria and amoebae is largely controlled by the interplay of physical properties like cell shapte and motility with intracellular processes and the exchange of biochemical signals between the cells. The aim of the project is to develop realistic models for aggregation and pattern formation in myxobacteria at the microscopic (= agent-based models with Langevin dynamics) and macroscopic level (continuum equations for cell densities of reaction-diffusion-advection type). The models shall address basic physical properties (self-propulsion, volume exclusion and nematic alignment) and biochemically regulated internal clocks and the resulting reversal rates of individual cells.

Spatio-temporal pattern formation in reaction-diffusion-advection-mechanics (RDAM) systems

Spatio-temporal pattern formation in reaction-diffusion-advection-mechanics (RDAM) systems

 

Period:04/2014 - 09/2018
Funding:    DFG (German Research Foundation)
Project C3 within Research Training Group (GRK) 1558 Nonequilibrium Collective Dynamics in Condensed Matter and Biological Systems
Partners:Institute of Theoretical Physics, Technical University of Berlin

 

RDAM systems include active fluids where mechanical stress involves an active component that is controlled by one or more chemical regulator species which obey reaction-diffusion-advection equations. The project builds on previous work describing pattern formation in non-moving circular droplets with fixed boundaries. The existing model shall be extended to allow for motion of the droplet. This will be achieved by considering the cytoplasm as a viscoelastic fluid and by introducing moving boundary conditions. Phase-field methods will be applied as effective computational alternative to a model with a sharp interface.  The model aims at the description of the dynamics of moving protoplasmic droplets of Physarum polycephalum and shall be compared to experimental observations in this system.

Multidimensional Reflectometry for Industry

Multidimensional Reflectometry for Industry

 

Period:09/2013 - 08/2016
Funding:    European Metrology Research Programme (EMRP)
Partners:10 European national Metrology Institutes and Research Institutes

 

The proposed JRP will provide validated and reliable optical measurements and methods with traceability to the SI-system wherever it is practicable to do so for the range of multidimensional reflection measurements. The general objective is to meet the demands from industry to describe the overall macroscopic appearances of modern surfaces by developing and improving methods for their measurement which rightly correlates with the visual sensation. In specific, the project deals with the Goniochromatism, Gloss and Fluorescence properties of dedicated artefacts, which will be investigated in the three main vertical workpackages. The horizontal workpackages address these subjects to the Modelling and Data Analysis and the Human Visual Perception, in order to give an irreducible set of calibration schemes and handling methods.

Further information: Opens internal link in current windowhere

Development of methods for characterizing integral quantities from differential optical measurements

Development of methods for characterizing integral quantities from differential optical measurements

 

Period:08/2013 - 07/2016
Funding:    Federal Ministry of Economics and Technology (BMWi)
TechnoTeam Bildverarbeitung GmbH Ilmenau
Partners:PTB department Photometry and Applied Radiometry
PTB working group High-temperature Scale
TechnoTeam Bildverarbeitung GmbH Ilmenau

Optical measurements in industry increasingly employ techniques which enable a full characterization of the measured object by a differential measurement. Examples for this are camera based measurements of the spatial distribution of temperature or luminance. Based on the differential measurement integral quantities can be determined which enable traceability to SI units. This requires a characterization of the accuracy of the integral quantity. Due to the high dimensionality of the differential measurements and also due to possible correlations therein this is currently not feasible for measurements in industry. This project aims at the development of appropriate methods which can be routinely applied to characterize integral quantities.

Further information: Opens internal link in current windowhere

Earlier Projects

Novel mathematical and statistical approaches to uncertainty evaluation

Novel mathematical and statistical approaches to uncertainty evaluation

 

Period:08/2012 - 07/2015
Funding:    European Metrology Research Programme (EMRP)
Partners:10 European national Metrology Institutes and Research Institutes
1 Industrial partner ("Collaborator")

 

The project develops novel approaches to measurement uncertainty evaluation and enable their consistent application, illustrated by appropriate case studies. The dissemination of these methods is ensured by providing input for future revisions of the Guide to the Expression of Uncertainty in Measurement (GUM), its supplements and other relevant documents and by providing algorithms and software. It focuses on three areas where new uncertainty analysis methods are needed: inverse and regression problems, computationally expensive model functions, conformity assessment and reliable decision-making.

In addition, the project emphasizes application of these methods to challenging areas where a strong need for new uncertainty evaluation methods has been identified. These include new analytical technologies for biochemistry and biotechnology (enzyme-linked immunosorbent assays - ELISA, polymerase chain reaction - PCR), transport processes (fluid flow, thermophysical properties of materials), industry and regulation (scatterometry, fire safety engineering, conformance testing for healthcare products).

Further information: Opens external link in new windowhere

Metrology of small structures for the manufacturing of electronic and optical devices

Metrology of small structures for the manufacturing of electronic and optical devices

 

Period:08/2011 - 07/2014
Funding:    European Metrology Research Programme (EMRP)
Partners:8 European national Metrology Institutes and Research Institutes
2 Industrial partners ("Collaborators")

 

Dimensional metrology of small structures is a basic subject important for applications within a wide variety of areas mainly in the semiconductor and optical industries but also in mechanical engineering (e.g. length and angle encoders) as well as in biological and medical industries. Dimensional metrology of high-end laterally structured functional surfaces is a constant challenge due to the progressive minimisation of structures combined with an increasing impact of feature details on the functionality of these surfaces. The development of sophisticated dimensional metrology of structures in the sub micrometer-range is therefore an important condition for the further development of technologies for optics and semiconductor industries.

Scatterometry is a promising measurement technique for dimensional metrology since it is fast, non-destructive and has basically no “resolution limit”. However, so far scatterometry is not capable of performing absolute form measurement. The goal of this project is to overcome this limitation by improving according measurement and data analysis methods. The investigations and results of this project will enable the design, development, characterisation and calibration of a scatterometry reference standard to face the tough specifications demanded nowadays.

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Traceable dynamic measurement of mechanical quantities

Traceable dynamic measurement of mechanical quantities

 

Period:09/2011 - 08/2014
Funding:    European Metrology Research Programme (EMRP)
Partners:9 European national Metrology Institutes and Research Institutes
4 Industrial partners ("Collaborators")

 

The aim of this project is to establish traceability for the three mechanical quantities force, torque and pressure for measurements under dynamic conditions. The required research carried out in this JRP will provide the foundation for a European infrastructure for traceable dynamic measurements of these mechanical quantities.

The JRP-Partners will establish a metrology infrastructure for traceable dynamic measurements of force, pressure and torque, set up and validate primary calibration methods, develop methods for consistent and reliable evaluation of measurement uncertainty, and provide dynamic traceability of the electrical components of the measurement chain.

Further information: Opens internal link in current windowhere

Optical and tactile metrology for absolute form characterisation

Optical and tactile metrology for absolute form characterisation

 

Period:09/2011 - 08/2014
Funding:    European Metrology Research Programme (EMRP)
Partners:8 European national Metrology Institutes and Research Institutes
4 Industrial partners ("Collaborators")

 

This project addresses the urgent need of the European optics and precision engineering industry and of basic research institutes for a significant improvement of accuracy and spatial resolution of the “absolute” surface form measurement of flats, aspheres and free-form surfaces. Absolute, in this context, refers to the measurement of optical surfaces delivering the full 3D form. Absolute form data are required, e.g. ,for the manufacturing of high-end asphere optics, strongly curved freeform surfaces used for special optics, for the calibration of measuring systems used in industry for in-production metrology, and for synchrotron and astronomical systems.

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Contact

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Physikalisch-Technische Bundesanstalt
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