Gerda de Vries

Nucleoplasmic β-actin exists in a dynamic equilibrium between low-mobility polymeric species and rapidly diffusing populations

β-Actin, once thought to be an exclusively cytoplasmic protein, is now known to have important functions within the nucleus. Nuclear β-actin associates with and functions in chromatin remodeling complexes, ribonucleic acid polymerase complexes, and at least some ribonucleoproteins. Proteins involved in regulating actin polymerization are also found in the interphase nucleus. We define the dynamic properties of nuclear actin molecules using fluorescence recovery after photobleaching. Our results indicate that actin and actin-containing complexes are reduced in their mobility through the nucleoplasm diffusing at ∼0.5 μm2 s−1. We also observed that ∼20% of the total nuclear actin pool has properties of polymeric actin that turns over rapidly. This pool could be detected in endogenous nuclear actin by using fluorescent polymeric actin binding proteins and was sensitive to drugs that alter actin polymerization. Our results validate previous reports of polymeric forms of nuclear actin observed in fixed specimens and reveal that these polymeric forms are very dynamic.

Using FRAP and mathematical modeling to determine the in vivo kinetics of nuclear proteins.

Fluorescence recovery after photobleaching (FRAP) has become a popular technique to investigate the behavior of proteins in living cells. Although the technique is relatively old, its application to studying endogenous intracellular proteins in living cells is relatively recent and is a consequence of the newly developed fluorescent protein-based living cell protein tags. This is particularly true for nuclear proteins, in which endogenous protein mobility has only recently been studied. Here we examine the experimental design and analysis of FRAP experiments. Mathematical modeling of FRAP data enables the experimentalist to extract information such as the association and dissociation constants, distribution of a protein between mobile and immobilized pools, and the effective diffusion coefficient of the molecule under study. As experimentalists begin to dissect the relative influence of protein domains within individual proteins, this approach will allow a quantitative assessment of the relative influences of different molecular interactions on the steady-state distribution and protein function in vivo.

Diffusively Coupled Bursters: Effects of Cell Heterogeneity

The interaction of a pair of weakly coupled biological bursters is examined.Bursting refers to oscillations in which an observable slowly alternates between phases of relative quiescence and rapid oscillatory behavior. The motivation for this work is to understand the role of electrical coupling in promoting the synchronization of bursting electrical activity (BEA) observed in the -cells of the islet of Langerhans, which secrete insulin in response to glucose. By studying the coupled fast subsystem of a model of BEA, we focus on the interaction that occurs during the rapid oscillatory phase. Coupling is weak, diffusive and non-scalar. In addition,non-identical oscillators are permitted. Using perturbation methods with the assumption that the uncoupled oscillators are near a Hopf bifurcation, a reduced system of equations is obtained. A detailed bifurcation study of this reduced system reveals a variety of patterns but suggests that asymmetrically phase-locked solutions are the most typical. Finally, the results are applied to the unreduced full bursting system and used to predict the burst pattern for a pair of cells with a given coupling strength and degree of heterogeneity.

Quantification of protein-protein and protein-DNA interactions in vivo, using fluorescence recovery after photobleaching.

Publisher Summary Fluorescence recovery after photobleaching (FRAP) is a fluorescence microscopy method that enables the quantification of protein movement over time in living cells. This chapter discusses the potential of FRAP to address biochemical and functional questions about proteins in their native environment. The living nucleus makes this a valuable research tool in the study of chromatin structure, function, and dynamics. With the addition of spatial information afforded by the fluorescence microscopy platform for FRAP, these measurements can be used to distinguish between a protein that diffuses through the cytoplasm as a monomer and one that is incorporated into a more massive protein complex, binding and dissociation constants, and binding specificity, all within the native environment of the living cell. The important principles are outlined in designing, analyzing, and interpreting FRAP experiments. Focus is restricted to designing and analyzing experiments performed on proteins that associate with chromatin.

From cell population models to tumor control probability: Including cell cycle effects

Abstract Background. Classical expressions for the tumor control probability (TCP) are based on models for the survival fraction of cancer cells after radiation treatment. We focus on the derivation of expressions for TCP from dynamic cell population models. In particular, we derive a TCP formula for a generalized cell population model that includes the cell cycle by considering a compartment of actively proliferating cells and a compartment of quiescent cells, with the quiescent cells being less sensitive to radiation than the actively proliferating cells. Methods. We generalize previously derived TCP formulas of Zaider and Minerbo and of Dawson and Hillen to derive a TCP formula from our cell population model. We then use six prostate cancer treatment protocols as a case study to show how our TCP formula works and how the cell cycle affects the tumor treatment. Results. The TCP formulas of Zaider-Minerbo and of Dawson-Hillen are special cases of the TCP formula presented here. The former one represents the case with no quiescent cells while the latter one assumes that all newly born cells enter a quiescent cell phase before becoming active. From our case study, we observe that inclusion of the cell cycle lowers the TCP. Conclusion. The cell cycle can be understood as the sequestration of cells in the quiescent compartment, where they are less sensitive to radiation. We suggest that our model can be used in combination with synchronization methods to optimize treatment timing.

Mathematical Modeling of Biological Systems

This two-volume, interdisciplinary work is a unified presentation of a broad range of state-of-the-art topics in the rapidly growing field of mathematical modeling in the biological sciences. Highlighted throughout both works are mathematical and computational approaches to examine central problems in the life sciences, ranging from the organizational principles of individual cells to the dynamics of large populations. Volume I covers a number of areas, including: * Cellular Biophysics * Regulatory Networks * Developmental Biology * Biomedical Applications * Data Analysis and Model Validation Volume II examines a diverse range of subjects, including: * Epidemiology * Evolution and Ecology * Immunology * Neural Systems and the Brain * Innovative Mathematical Methods and Education Both volumes will be excellent reference texts for a broad audience of researchers, practitioners, and advanced students in this rapidly growing field at the intersection of applied mathematics, experimental biology and medicine, computational biology, biochemistry, computer science, and physics.

Analysis of molecular diffusion by first-passage time variance identifies the size of confinement zones.

The diffusion of receptors within the two-dimensional environment of the plasma membrane is a complex process. Although certain components diffuse according to a random walk model (Brownian diffusion), an overwhelming body of work has found that membrane diffusion is nonideal (anomalous diffusion). One of the most powerful methods for studying membrane diffusion is single particle tracking (SPT), which records the trajectory of a label attached to a membrane component of interest. One of the outstanding problems in SPT is the analysis of data to identify the presence of heterogeneity. We have adapted a first-passage time (FPT) algorithm, originally developed for the interpretation of animal movement, for the analysis of SPT data. We discuss the general application of the FPT analysis to molecular diffusion, and use simulations to test the method against data containing known regions of confinement. We conclude that FPT can be used to identify the presence and size of confinement within trajectories of the receptor LFA-1, and these results are consistent with previous reports on the size of LFA-1 clusters. The analysis of trajectory data for cell surface receptors by FPT provides a robust method to determine the presence and size of confined regions of diffusion.

Succumbing to the laws of attraction

Feedback mechanisms throughout the immune and endocrine systems play a significant role in maintaining physiological homeostasis. Specifically, the hypothalamic-pituitary-adrenal (HPA) and hypothalamic-pituitary-gonadal (HPG) axes contribute important oversight of immune activity and homeostatic regulation. We propose that these components form an overarching regulatory system capable of supporting multiple homeostatic regimes. These emerge as a result of the extensive feedback mechanisms involving cytokine and hormone signaling. Here we explore the possible role of such alternate regulatory programs in perpetuating chronic immune and endocrine dysfunction in males. To do this we represent documented interactions within and between components of the male HPA-HPG-immune system as a set of discrete logic circuits. Analysis of these regulatory circuits indicated that even in the absence of external perturbations this model HPA-HPG-immune network supported three distinct and stable homeostatic regimes. To investigate the relevance of these predicted homeostatic regimes, we compared them to experimental data from male subjects with Gulf War illness (GWI) and chronic fatigue syndrome (CFS), two complex chronic conditions presenting with endocrine and immune dysregulation. Results indicated that molecular profiles observed experimentally in male GWI and CFS were both distinct from the normal resting state. Profile alignments suggests that regulatory circuitry is largely intact in male GWI and that the persistent immune dysfunction in this illness may at least in part be facilitated by the body’s own homeostatic drive. Conversely the profile for male CFS was distant from all three stable states suggesting the continued influence of an exogenous agent or lasting changes to the regulatory circuitry such as epigenetic alterations.

Mathematical Modeling of Biological Systems, Volume I

This two-volume, interdisciplinary work is a unified presentation of a broad range of state-of-the-art topics in the rapidly growing field of mathematical modeling in the biological sciences. Highlighted throughout both works are mathematical and computational approaches to examine central problems in the life sciences, ranging from the organizational principles of individual cells to the dynamics of large populations. Volume I covers a number of areas, including: * Cellular Biophysics * Regulatory Networks * Developmental Biology * Biomedical Applications * Data Analysis and Model Validation Volume II examines a diverse range of subjects, including: * Epidemiology * Evolution and Ecology * Immunology * Neural Systems and the Brain * Innovative Mathematical Methods and Education Both volumes will be excellent reference texts for a broad audience of researchers, practitioners, and advanced students in this rapidly growing field at the intersection of applied mathematics, experimental biology and medicine, computational biology, biochemistry, computer science, and physics.

Succumbing to the laws of attraction Exploring the sometimes pathogenic versatility of discrete immune logic

Feedback mechanisms throughout the immune and endocrine systems play a significant role in maintaining physiological homeostasis. Specifically, the hypothalamic-pituitary-adrenal (HPA) and hypothalamic-pituitary-gonadal (HPG) axes contribute important oversight of immune activity and homeostatic regulation. We propose that these components form an overarching regulatory system capable of supporting multiple homeostatic regimes. These emerge as a result of the extensive feedback mechanisms involving cytokine and hormone signaling. Here we explore the possible role of such alternate regulatory programs in perpetuating chronic immune and endocrine dysfunction in males. To do this we represent documented interactions within and between components of the male HPA-HPG-immune system as a set of discrete logic circuits. Analysis of these regulatory circuits indicated that even in the absence of external perturbations this model HPA-HPG-immune network supported three distinct and stable homeostatic regimes. To investigate the relevance of these predicted homeostatic regimes, we compared them to experimental data from male subjects with Gulf War illness (GWI) and chronic fatigue syndrome (CFS), two complex chronic conditions presenting with endocrine and immune dysregulation. Results indicated that molecular profiles observed experimentally in male GWI and CFS were both distinct from the normal resting state. Profile alignments suggests that regulatory circuitry is largely intact in male GWI and that the persistent immune dysfunction in this illness may at least in part be facilitated by the body’s own homeostatic drive. Conversely the profile for male CFS was distant from all three stable states suggesting the continued influence of an exogenous agent or lasting changes to the regulatory circuitry such as epigenetic alterations.