Peder Thusgaard Ruhoff

Recursion relations for multi-dimensional Franck-Condon overlap integrals

Abstract We derive a set of simple recursion relations for multi-dimensional Franck-Condon overlap integrals in a clear and systematic way. The derivation is made within the harmonic approximation and incorporates the so-called Duschinsky mixing effect of the normal modes in the initial and final states of the molecule under investigation. The numerical properties of the derived recursion relations are investigated in detail, showing that the large numbers of additions performed during the recursion under certain circumstances can result in a strong propagation of relative error into the result. Finally, the recursion relations are used to calculate relative transition probabilities of the 2 B 2 - 2 A 1 transition in NO 2 .

Algorithms for computing Franck–Condon overlap integrals

In a previous article [Chem. Phys. 1994, 186, 355–374], Ruhoff derived a set of recursion relations for calculating multidimensional Franck–Condon overlap integrals within the harmonic approximation, taking into account the Duschinsky mixing effect. We show here how these relations can be implemented in a computationally efficient manner.

Experimental Peptide Identification Repository (EPIR) An Integrated Peptide-Centric Platform for Validation and Mining of Tandem Mass Spectrometry Data

LC MS/MS has become an established technology in proteomic studies, and with the maturation of the technology the bottleneck has shifted from data generation to data validation and mining. To address this bottleneck we developed Experimental Peptide Identification Repository (EPIR), which is an integrated software platform for storage, validation, and mining of LC MS/MS-derived peptide evidence. EPIR is a cumulative data repository where precursor ions are linked to peptide assignments and protein associations returned by a search engine (e.g. Mascot, Sequest, or PepSea). Any number of datasets can be parsed into EPIR and subsequently validated and mined using a set of software modules that overlay the database. These include a peptide validation module, a protein grouping module, a generic module for extracting quantitative data, a comparative module, and additional modules for extracting statistical information. In the present study, the utility of EPIR and associated software tools is demonstrated on LC MS/MS data derived from a set of model proteins and complex protein mixtures derived from MCF-7 breast cancer cells. Emphasis is placed on the key strengths of EPIR, including the ability to validate and mine multiple combined datasets, and presentation of protein-level evidence in concise, nonredundant protein groups that are based on shared peptide evidence.

The global relationship between chromatin physical topology, fractal structure, and gene expression

Most of what we know about gene transcription comes from the view of cells as molecular machines: focusing on the role of molecular modifications to the proteins carrying out transcriptional reactions at a loci-by-loci basis. This view ignores a critical reality: biological reactions do not happen in an empty space, but in a highly complex, interrelated, and dense nanoenvironment that profoundly influences chemical interactions. We explored the relationship between the physical nanoenvironment of chromatin and gene transcription in vitro. We analytically show that changes in the fractal dimension, D, of chromatin correspond to simultaneous increases in chromatin accessibility and compaction heterogeneity. Using these predictions, we demonstrate experimentally that nanoscopic changes to chromatin D within thirty minutes correlate with concomitant enhancement and suppression of transcription. Further, we show that the increased heterogeneity of physical structure of chromatin due to increase in fractal dimension correlates with increased heterogeneity of gene networks. These findings indicate that the higher order folding of chromatin topology may act as a molecular-pathway independent code regulating global patterns of gene expression. Since physical organization of chromatin is frequently altered in oncogenesis, this work provides evidence pairing molecular function to physical structure for processes frequently altered during tumorigenesis.

Label-free imaging of the native, living cellular nanoarchitecture using partial-wave spectroscopic microscopy

Significance Chromatin is one of the most critical structures within the cell because it houses most genetic information. Its structure is well understood at the nucleosomal (<20-nm) and chromosomal (>200-nm) levels; however, due to the lack of quantitative imaging modalities to study this organization, little is known about the higher-order structure between these length scales in live cells. We present a label-free technique, live-cell partial-wave spectroscopic (PWS) microscopy, with sensitivity to structures between 20 and 200 nm that can quantify the nanoarchitecture in live cells. With this technique, we can detect DNA fragmentation and expand on the link between metabolic function and higher-order chromatin structure. Live-cell PWS allows high-throughput study of the relationship between nanoscale organization and molecular function. The organization of chromatin is a regulator of molecular processes including transcription, replication, and DNA repair. The structures within chromatin that regulate these processes span from the nucleosomal (10-nm) to the chromosomal (>200-nm) levels, with little known about the dynamics of chromatin structure between these scales due to a lack of quantitative imaging technique in live cells. Previous work using partial-wave spectroscopic (PWS) microscopy, a quantitative imaging technique with sensitivity to macromolecular organization between 20 and 200 nm, has shown that transformation of chromatin at these length scales is a fundamental event during carcinogenesis. As the dynamics of chromatin likely play a critical regulatory role in cellular function, it is critical to develop live-cell imaging techniques that can probe the real-time temporal behavior of the chromatin nanoarchitecture. Therefore, we developed a live-cell PWS technique that allows high-throughput, label-free study of the causal relationship between nanoscale organization and molecular function in real time. In this work, we use live-cell PWS to study the change in chromatin structure due to DNA damage and expand on the link between metabolic function and the structure of higher-order chromatin. In particular, we studied the temporal changes to chromatin during UV light exposure, show that live-cell DNA-binding dyes induce damage to chromatin within seconds, and demonstrate a direct link between higher-order chromatin structure and mitochondrial membrane potential. Because biological function is tightly paired with structure, live-cell PWS is a powerful tool to study the nanoscale structure–function relationship in live cells.

An Evolutionary Algorithm for Welding Task Sequence Ordering

In this paper, we present some of the results of an ongoing research project, which aims at investigating the use of the evolutionary computation paradigm for real world problem solving in an industrial environment. One of the problems targeted in the investigation is that of job sequence optimization for welding robots operating in a shipyard. This is an NP-hard combinatorial optimization problem with constraints. To solve the problem, we propose a hybrid genetic algorithm incorporating domain-specific knowledge. We demonstrate how the method is successful in solving the job sequencing problem. The effectiveness and usefulness of the algorithm is further exemplified by the fact, that it has been implemented in the RoboCopp application program, which is currently used as the task sequence scheduler in a commercially available robot programming environment.

Live Cell Partial Wave Spectroscopic microscopy: Label-free Imaging of the Native, Living Cellular Nanoarchitecture

The organization of chromatin is a regulator of molecular processes including transcription, replication, and DNA repair. The structures within chromatin that regulate these processes span from the nucleosomal (10nm) to the chromosomal (>200nm) levels, with little known about the dynamics of chromatin structure between these scales due to a lack of quantitative imaging technique in live cells. Previous work using Partial Wave Spectroscopic (PWS) microscopy, a quantitative imaging technique with sensitivity to macromolecular organization between 20-200nm, has shown that transformation of chromatin at these length scales is a fundamental event during carcinogenesis. As the dynamics of chromatin likely play a critical regulatory role in cellular function, it is critical to develop live-cell imaging techniques that can probe the real-time temporal behavior of the chromatin nano-architecture. Therefore, we developed a live cell PWS technique which allows high-throughput, label-free study of the causal relationship between nanoscale organization and molecular function in real-time. In this work, we employ live cell PWS to study the change in chromatin structure due to DNA damage and expand on the link between metabolic function and the structure of higher-order chromatin. In particular, we studied the temporal changes to chromatin during UV light exposure, show that live cell DNA binding dyes induce damage to chromatin within seconds, and demonstrate a direct link between higher-order chromatin structure and mitochondrial membrane potential. Since biological function is tightly paired with structure, live cell PWS is a powerful tool to study the nanoscale structure-function relationship in live cells. Significance Statement Chromatin is one of the most critical structures within the cell because it houses most genetic information. Its structure is well understood at the nucleosomal (<20nm) and chromosomal (>200nm) levels, however, due to the lack of quantitative imaging modalities to study this organization, little is known about the higher-order structure between these length scales in live cells. We present a label-free technique, live cell Partial Wave Spectroscopic (PWS) microscopy with sensitivity to structures between 20-200nm that can quantify the nano-architecture in live cells. With this technique, we can detect DNA fragmentation and expand on the link between metabolic function and higher-order chromatin structure. Live cell PWS allows high-throughput, label-free study of the causal relationship between nanoscale organization and molecular function in live cells.

Efficient algorithms for simulating complex mechanical systems using constraint dynamics

The constrained Lagrangian and constrained Hamiltonian equations of motion for a general non-relativistic classical mechanical system subject to rheonomous holonomic constraints are derived in an easy and straightforward manner. The numerical integration of the constrained equations of motion are discussed. It is shown how constraint errors introduced by the numerical integration can be avoided by introducing simple constraint correction schemes. As an example, the developed constrained methods are applied to the periodically driven inverted n-linked pendulum. It is demonstrated how the constrained methods leads to very efficient numerical algorithms. In the case of the n-linked pendulum, the computational complexity using the constrained methods is O(n) compared to O(n3) using the conventional unconstrained approach.

Hypercapnia Alters Expression of Immune Response, Nucleosome Assembly and Lipid Metabolism Genes in Differentiated Human Bronchial Epithelial Cells

Hypercapnia, the elevation of CO2 in blood and tissues, commonly occurs in severe acute and chronic respiratory diseases, and is associated with increased risk of mortality. Recent studies have shown that hypercapnia adversely affects innate immunity, host defense, lung edema clearance and cell proliferation. Airway epithelial dysfunction is a feature of advanced lung disease, but the effect of hypercapnia on airway epithelium is unknown. Thus, in the current study we examined the effect of normoxic hypercapnia (20% CO2 for 24 h) vs normocapnia (5% CO2), on global gene expression in differentiated normal human airway epithelial cells. Gene expression was assessed on Affymetrix microarrays, and subjected to gene ontology analysis for biological process and cluster-network representation. We found that hypercapnia downregulated the expression of 183 genes and upregulated 126. Among these, major gene clusters linked to immune responses and nucleosome assembly were largely downregulated, while lipid metabolism genes were largely upregulated. The overwhelming majority of these genes were not previously known to be regulated by CO2. These changes in gene expression indicate the potential for hypercapnia to impact bronchial epithelial cell function in ways that may contribute to poor clinical outcomes in patients with severe acute or advanced chronic lung diseases.