Kinetic analysis of the effects of plasmid multimerization on segregational instability of CoIE1 type plasmids in Escherichia coli B/r

The effect of plasmid multimerization on segregational instability was investigated using a structured, segregated model of genetically modified Escherichia coli cells. By including the multimerization of plasmids, the model can predict the proportion of each multimer in the total plasmid population. Simulation results suggest that the plasmid copy number is controlled by the total plasmid content (i.e., total number of plasmid origins) in the host cell and that multimerization reduces the total number of independent, monomeric segregation units. However, multimerization is found to have a minor effect on decreasing plasmid segregational stability for multicopy plasmids with average copy number per cell greater than about 25. Also model predictions were used to test whether or not a nonrandom plasmid distribution at cell fission could cause segregational instability. Even in the case of severely biased partitioning, plasmids whose copy number is above 45 per cell do not show significant segregational instability. The results suggest that when the ColE1-type plasmid does not encode and express any large or disruptive foreign proteins, the copy number of 45 per cell may be the threshold at which only growth rate-dependent instability is responsible for overall plasmid instability.     

A generalized model of plasmid replication

A simple model is developed that permits the determination of cellular extrachromosomal DNA content for a large number of host-plasmid systems. The model incorporates host, vector, and environmental influences on plasmid replication through the use of empirical expressions. The model successfully predicts the plasmid content of many host-vector systems in a balanced growth situation, both in continuous and batch cultures. Techniques for determining model parameters are also presented. The model parameters, which characterize the effect of plasmid on its own synthesis, are given physical interpretation through the development of a structured model for a particular class of plasmids and subsequent comparison of the predictions of the two models. The simplicity of the model expressions should, in the absence of: (1) discriminatory criteria such as plasmid concentration under transient growth conditions or (2) detailed knowledge on molecular mechanisms of plasmid replication, prove useful in the study of host-vector systems for genetic engineering applications.     

A novel structured kinetic modeling approach for the analysis of plasmid instability in recombinant bacterial cultures

The instantaneous specific growth rate of a recombinant bacterial culture is directly calculated using a simple structured kinetic modeling approach. Foreign plasmid replication and foreign protein expression represent metabolic burdens to the host cell. The individual effects of these plasmid-mediated activities on the growth rate of plasmid-bearing cells are estimated separately. The dynamic and steady state simulations of the model equations show remarkable agreement with widely observed experimental trends in plasmid copy number and foreign protein content. The model provides an important tool for understanding and controlling plasmid instability in recombinant bacterial fermentations. The modeling framework employed here is suitable for studying the metabolism and growth of a variety of microbial cultures.     

Modeling epithelial cell homeostasis: Assessing recovery and control mechanisms

Critical to epithelial cell viability is prompt and direct recovery, following a perturbation of cellular conditions. Although a number of transporters are known to be activated by changes in cell volume, cell pH, or cell membrane potential, their importance to cellular homeostasis has been difficult to establish. Moreover, the coordination among such regulated transporters to enhance recovery has received no attention in mathematical models of cellular function. In this paper, a previously developed model of proximal tubule (Weinstein, 1992, Am. J. Physiol. 263, F784–F798), has been approximated by its linearization about a reference condition. This yields a system of differential equations and auxiliary linear equations, which estimate cell volume and composition and transcellular fluxes in response to changes in bath conditions or membrane transport coefficients. Using the singular value decomposition, this system is reduced to a linear dynamical system, which is stable and reproduces the full model behavior in a useful neighborhood of the reference. Cost functions on trajectories formulated in the model variables (e.g., time for cell volume recovery) are translated into cost functions for the dynamical system. When the model is extended by the inclusion of linear dependence of membrane transport coefficients on model variables, the impact of each such controller on the recovery cost can be estimated with the solution of a Lyapunov matrix equation. Alternatively, solution of an algebraic Riccati equation provides the ensemble of controllers that constitute optimal state feedback for the dynamical system. When translated back into the physiological variables, the optimal controller contains some expected components, as well as unanticipated controllers of uncertain significance. This approach provides a means of relating cellular homeostasis to optimization of a dynamical system.     

CULTURE CONDITIONS INFLUENCE CELLULAR RNA CONTENT IN ICHTHYOTOXIC FLAGELLATES OF THE GENUS PSEUDOCHATTONELLA (DICTYOCHOPHYCEAE)1

Cell counts are the standard measure to quantify harmful algae and the basis for decisions on measures necessary to protect human health. Molecular detection methods have been developed for a range of algal species and genera, but these methods generally quantify DNA or RNA, and corresponding cell numbers are inferred based on the assumption that the cellular nucleic acid content is constant over time and in different conditions. Here, we tested this assumption for ichthyotoxic flagellates of the genus Pseudochattonella (Dictyochophyceae) under different light, temperature, salinity, and nutrient conditions. Our results show changes in cellular RNA contents of nearly one order of magnitude depending on the condition and also the time of exposure, rendering it difficult to anticipate per‐cell RNA yields even if environmental conditions are known. However, cellular RNA content was positively correlated with cell size and growth rate across our experiments, and total RNA was comparable to cell number as a predictor for total biovolume. These results demonstrate the importance of considering the variability of RNA levels for comparisons with cell counts and provide a valuable aid for the interpretation of data from RNA‐based detection methods.     

A segregated model for plasmid content and product synthesis in unstable binary fission recombinant organisms

Plasmid propagation in populations of unstable, binary fission recombinant organisms has been studied using a segregated, population balance mathematical model. Segregated models have the advantage of direct incorporation of basic information on mechanisms and kinetics of plasmid replication and segregation at the single-cell level. The distribution of cellular plasmid content and specific rates of plasmid gene expression have been obtained for several single-cell models of plasmid replication, partition, and gene expression. Plasmid replication kinetics during cell growth significantly influence the plasmid content distribution. In the case of transient growth of plasmid-containing and plasmid-free cells in partially selective medium, the degree of selection required for stable maintenance of plasmid-containing cells has been determined. Guidelines are presented for applicability of simpler, nonsegregated models and for evaluation of the parameters in these models based on single-cell mechanisms and associated parameters.     

Study of recombinant micro-organism populations characterized by their plasmid content per cell using a segregated model

Numerous observations from recombinant systems have shown that properties such as the specific cell growth rate and the plasmid-free cell formation rate are related, not only to the average plasmid content per cell, but also to the plasmid distribution within a population. The plasmid distribution in recombinant cultures can have an effect on the culture productivity that cannot be modelled using average values of the overall culture. The prediction of the behaviour of a plasmid content distribution and its causes and effects can only be studied using segregated models. A segregated model that describes populations of recombinant cells characterized by their plasmid content distribution has been developed. This model includes critical causes of recombinant culture instability such as the plasmid partition mechanism at cell division, plasmid replication kinetics and the effect of the plasmid content on the specific growth rate. The segregated model allows investigation of the effect of each of these causes and that of the plasmid content distribution on the observable behaviour of a recombinant culture.The effect of two partitioning mechanisms (Gaussian distribution and binomial distribution) on culture stability was investigated. The Gaussian distribution is slightly more stable. A small plasmid replication rate constant results in a very unstable culture even after short periods of time. This instability is dramatically improved for a larger value of this constant, hence improving protein synthesis. For a very narrow initial plasmid distribution, a given plasmid replication rate and partitioning mechanism can become broad even after a relatively short period of time. In contrast, a very "broad" initial distribution gave rise to a "Gamma-like" distribution profile. If we compare the results obtained in the simulations of the segregated model with those of the non-segregated one (average model), the latter model predicts much more stable behaviour, thus these average models cannot predict culture instability with the same precision.When compared with the experimental results, the segregated model was able to predict the practical behaviour with accuracy even in a system with a high plasmid content per cell and a high rate of plasmid-free cell formation which could not be achieved with a non-segregated model.     

Exploring the evolutionary dynamics of plasmids: the <Emphasis Type="Italic">Acinetobacter</Emphasis> pan-plasmidome

Background  

Prokaryotic plasmids have a dual importance in the microbial world: first they have a great impact on the metabolic functions of the host cell, providing additional traits that can be accumulated in the cell without altering the gene content of the bacterial chromosome. Additionally and/or alternatively, from a genome perspective, plasmids can provide a basis for genomic rearrangements via homologous recombination and so they can facilitate the loss or acquisition of genes during these events, which eventually may lead to horizontal gene transfer (HGT). Given their importance for conferring adaptive traits to the host organisms, the interest in plasmid sequencing is growing and now many complete plasmid sequences are available online.     

Membrane permeability equations and their solutions for red cells

Summary The mathematical equations for the transport of nonelectrolytes across cell membranes are critically examined and cast in forms suitable for solution which involve fewer approximations than has heretofore been commonly done. For the case of red cells, the equations are developed to include the effect of the variation in apparent nonosmotic water owing to the variation in hemoglobin concentration as the cell swells or shrinks. Two methods of solution of the equations are developed and studied and sample calculations are provided. It is shown that the solutions to the linearized equations commonly found in the literature are insufficiently accurate for some purposes and this inaccuracy is avoided by the methods given here. The importance of retaining the effects of variations in apparent nonosmotic water and in solute volume in the cell is demonstrated.     

A mathematical model for prediction of plasmid copy number and genetic stability in Escherichia coli

The design of bioreactors for genetically modified bacterial cultures would benefit from predictive models. Of particular importance is the interaction of the external environment, cell physiology, and control of plasmid copy number. We have recently developed a model based on the molecular mechanisms for control of replication of Co1E1 type plasmids. The inclusion of the plasmid model into a single-cell E. coli model allows the explicit prediction of the interaction of cell physiology and plasmid-encoded functions. The model predictions of the copy number of plasmids with the Co1E1 origin of replication carrying a variety of regulatory mutations is very close to that observed experimentally.All of the model parameters for plasmid replication control can be obtained independently and no adjustable parameters are needed for the plasmid model. In this article we discuss the model's use in predicting the effect of operating conditions on production of a protein from a plasmid encoded gene and the stability of the recombinant cells in a continuous culture.     

A model for growth of Saccharomyces cerevisiae containing a recombinant plasmid in selective media

A major problem in the use of plasmids as recombinant vectors is the problem of plasmid-free cell generation from plasmid shedding and subsequent growth. A common technique for controlling the population of plasmidfree cells is the use of selective media against these cells using an auxotrophic host and a plasmid that has the ability to produced the essential metabolite. A distributed model describing the growth of Saccharomyces cerevisiae containing a recombinant plasmid in selective media was developed. The model allows for growth and production of a metabolite by the plasmid-carrying strain and growth of the plasmid-free cells on resulting metabolite concentrations. Through a determination of system constants and numerical solution to the equations, experimental batch and continuous culture results for cell concentration transients could be simulated by the model. The results indicated that despite selective pressure, plasmid-free cell growth was significant.     

Gene Transfer: How Can the Biological Barriers Be Overcome?

Physical methods represent a promising approach for the safe delivery of therapeutic plasmid DNA in genetic and acquired human diseases. However, their development in clinics is limited by their low efficacy. At the cellular level, efficient gene transfer is dependent on several factors including extracellular matrix, plasmid DNA uptake and nucleocytoplasmic transport. We review the main barriers that plasmid DNA encounters from the extracellular environment toward the interior of the cell and the different strategies developed to overcome these biological barriers. Diffusional and metabolic fences of the extracellular matrix and the cytoplasm affect plasmid DNA uptake. These barriers reduce the number of intact plasmids that reach the nucleus. Nuclear uptake of plasmid DNA further requires either an increase of nuclear permeability or an active nuclear transport via the nuclear pore. A better understanding of the cellular and molecular bases of the physical gene-transfer process may provide strategies to overcome those obstacles that highly limit the efficiency and use of gene-delivery methods.     

A kinetic model describing cell growth and production of highly active, recombinant ice nucleation protein in Escherichia coli

A structured kinetic model, which describes the production of the recombinant ice nucleation protein in different conditions, was applied. The model parameters were estimated based on the variation of the specific growth rate and the intracellular product concentration during cultivation. The equations employed relate the cellular plasmid content or plasmid copy number with the cloned-gene expression; these correlations were successfully tested on the experimental data. The optimal nutrient conditions for the growth of Escherichia coli expressing the inaZ gene of Pseudomonas syringae were determined for the production of active ice nucleation protein. The kinetics of the cultures expressing the inaZ gene were studied in a bioreactor at different growth temperatures and nutrient conditions.     

Continuous cultivation of recombinant Escherichia coli: Existence of an optimum dilution rate for maximum plasmid and gene product concentration

Growth yield factors, plasmid stability, cellular plasmid content, and cloned gene product activity for Escherichia coli HB101 containing plasmid pDM246 were measured at several dilution rates in continuous culture. Cell mass yield per mass of glucose consumed declined with increasing dilution rate. There was no evidence of plasmid segregational instability in any experiments, none of which employed selective medium. Plasmid content per cell varied with population-specific growth rate as observed in earlier batch experiments with the same strain. Plasmid content declined with increasing specific growth rate following indication of a maximum number of plasmids per cell at specific growth rates of ca. 0.3 h(-1). Cloned gene product (beta-lactamase) activity exhibited a sharp maximum with respect to dilution rate in continuous culture. Qualitatively different results were observed in previous experiments in batch cultivation in which specific growth rate changes were effected by altering medium composition.     

NEXT GENERATION DNA VACCINES FOR HIV-1

ABSTRACT

We studied the effects of first generation HIV-1 plasmid vaccines in 167 individuals. The vaccines were very well tolerated and induced helper T cell responses in most vaccine recipients. However, the CTL responses were below a 20% response rate. Improvement in vaccine potency is an important goal of this technology and a central focus of our laboratory. To improve on these response rates, we used RNA optimized constructs pGag and pEnv). These vaccines express 20–100 fold better than first generation vectors. However, our studies support that additional enhancements are needed to further boost the immune response. We report that we can significantly enhance the induced CD8 effector cell response by including engineered B7 costimulatory molecules. We observed that B7.2 was more effective at driving cellular immune responses than B7.1 as a plasmid vaccine. We developed gene swaps and deletions between these two molecules. This manipulation resulted in a dramatically enhanced cellular immune response as measured by CTL, or ICC or Elispot. We have also explored the use of cytokines as plasmid vaccine adjuvants. We observed that IL-12 and IL-15 were effective as plasmid vaccine adjuvants. Interestingly, IL-15 appeared to allow T cell expansion in the absence of significant T cell help. Improvement of the immune response induced by plasmid vaccines can be engineered in multiple ways. Our studies show that both costimulation as well as cytokine signals can be harnessed for more potent vaccine development. These results have important implications for the design of vaccines for prophylaxis and therapy.     

Plasmid DNA electrotransfer for intracellular and secreted proteins expression: new methodological developments and applications

In vivo electrotransfer is a physical method of gene delivery in various tissues and organs, relying on the injection of a plasmid DNA followed by electric pulse delivery. The importance of the association between cell permeabilization and DNA electrophoresis for electrotransfer efficiency has been highlighted. In vivo electrotransfer is of special interest since it is the most efficient non-viral strategy of gene delivery and also because of its low cost, easiness of realization and safety. The potentiality of this technique can be further improved by optimizing plasmid biodistribution in the targeted organ, plasmid structure, and the design of the encoded protein. In particular, we found that plasmids of smaller size were electrotransferred more efficiently than large plasmids. It is also of importance to study and understand kinetic expression of the transgene, which can be very variable, depending on many factors including cellular localization of the protein, physiological activity and regulation. The most widely targeted tissue is skeletal muscle, because this strategy is not only promising for the treatment of muscle disorders, but also for the systemic secretion of therapeutic proteins. Vaccination and oncology gene therapy are also major fields of application of electrotransfer, whereas application to other organs such as liver, brain and cornea are expanding. Many published studies have shown that plasmid electrotransfer can lead to long-lasting therapeutic effects in various pathologies such as cancer, blood disorders, rheumatoid arthritis or muscle ischemia. DNA electrotransfer is also a powerful laboratory tool to study gene function in a given tissue.     

Investigation of subpopulation heterogeneity and plasmid stability in recombinant escherichia coli via a simple segregated model

Many microbial and cell cultures exhibit phenomena that can best be described using a segregated modeling approach. Heterogeneties are more marked in recombinant cell cultures because subpopulations, which often exhibit different growth and productivity characteristics, are more easily identified by selective markers. A simple segregated mathematical model that simulates the growth of recombinant Escherichia coli cells is developed. Subpopulations of different growth rate, plasmid replication rate, and plasmid segregation probability are explicitly considered. Results indicate that a third mechanism of plasmid instability, referred to here as a "downward selective pressure," is significant when describing plasmid loss in batch and chemostat cultures. Also, the model agrees well with experimental data from cultures under antibiotic selective pressure. Finally, model simulations of chemostat cultures reveal the importance of initial conditions on culture stability and the possible presence of nonrandom partitioning functions. (c) 1993 John Wiley & Sons, Inc.     

Next generation DNA vaccines for HIV-1

We studied the effects of first generation HIV-1 plasmid vaccines in 167 individuals. The vaccines were very well tolerated and induced helper T cell responses in most vaccine recipients. However, the CTL responses were below a 20% response rate. Improvement in vaccine potency is an important goal of this technology and a central focus of our laboratory. To improve on these response rates, we used RNA optimized constructs pGag and pEnv). These vaccines express 20-100 fold better than first generation vectors. However, our studies support that additional enhancements are needed to further boost the immune response. We report that we can significantly enhance the induced CD8 effector cell response by including engineered B7 costimulatory molecules. We observed that B7.2 was more effective at driving cellular immune responses than B7.1 as a plasmid vaccine. We developed gene swaps and deletions between these two molecules. This manipulation resulted in a dramatically enhanced cellular immune response as measured by CTL, or ICC or Elispot. We have also explored the use of cytokines as plasmid vaccine adjuvants. We observed that IL-12 and IL-15 were effective as plasmid vaccine adjuvants. Interestingly, IL-15 appeared to allow T cell expansion in the absence of significant T cell help. Improvement of the immune response induced by plasmid vaccines can be engineered in multiple ways. Our studies show that both costimulation as well as cytokine signals can be harnessed for more potent vaccine development. These results have important implications for the design of vaccines for prophylaxis and therapy.