Non-constant discounting in finite horizon: The free terminal time case

This paper derives the HJB (Hamilton-Jacobi-Bellman) equation for sophisticated agents in a finite horizon dynamic optimization problem with non-constant discounting in a continuous setting, by using a dynamic programming approach. A simple example is used in order to illustrate the applicability of this HJB equation, by suggesting a method for constructing the subgame perfect equilibrium solution to the problem.Conditions for the observational equivalence with an associated problem with constantdiscounting are analyzed. Special attention is paid to the case of free terminal time. Strotz¿s model (an eating cake problem of a nonrenewable resource with non-constant discounting) is revisited.

Cell differentiation to "mating bodies" induced by an integrating and conjugative element in free-living bacteria.

Lateral gene transfer (LGT) is one of the most important processes leading to prokaryotic genome innovation. LGT is typically associated with conjugative plasmids and bacteriophages, but recently, a new class of mobile DNA known as integrating and conjugative elements (ICE) was discovered, which is abundant and widespread among bacterial genomes. By studying at the single-cell level the behavior of a prevalent ICE type in the genus Pseudomonas, we uncover the remarkable way in which the ICE orchestrates host cell differentiation to ensure horizontal transmission. We find that the ICE induces a state of transfer competence (tc) in 3%-5% of cells in a population under nongrowing conditions. ICE factors control the development of tc cells into specific assemblies that we name "mating bodies." Interestingly, cells in mating bodies undergo fewer and slower division than non-tc cells and eventually lyse. Mutations in ICE genes disrupting mating-body formation lead to 5-fold decreased ICE transfer rates. Hence, by confining the tc state to a small proportion of the population, ICE horizontal transmission is achieved with little cost in terms of vertical transmission. Given the low transfer frequencies of most ICE, we anticipate regulation by subpopulation differentiation to be widespread.

Force volume and stiffness tomography investigation on the dynamics of stiff material under bacterial membranes.

The determination of the characteristics of micro-organisms in clinical specimens is essential for the rapid diagnosis and treatment of infections. A thorough investigation of the nanoscale properties of bacteria can prove to be a fundamental tool. Indeed, in the latest years, the importance of high resolution analysis of the properties of microbial cell surfaces has been increasingly recognized. Among the techniques available to observe at high resolution specific properties of microscopic samples, the Atomic Force Microscope (AFM) is the most widely used instrument capable to perform morphological and mechanical characterizations of living biological systems. Indeed, AFM can routinely study single cells in physiological conditions and can determine their mechanical properties with a nanometric resolution. Such analyses, coupled with high resolution investigation of their morphological properties, are increasingly used to characterize the state of single cells. In this work, we exploit the capabilities and peculiarities of AFM to analyze the mechanical properties of Escherichia coli in order to evidence with a high spatial resolution the mechanical properties of its structure. In particular, we will show that the bacterial membrane is not mechanically uniform, but contains stiffer areas. The force volume investigations presented in this work evidence for the first time the presence and dynamics of such structures. Such information is also coupled with a novel stiffness tomography technique, suggesting the presence of stiffer structures present underneath the membrane layer that could be associated with bacterial nucleoids.

Growth and differentiation of aggregating fetal brain cells in a serum-free defined medium.

Aggregating cultures of mechanically dissociated fetal brain cells provide an excellent system for neurobiological studies of cellular growth and differentiation, but, in common with almost all culture systems, they have the disadvantage that crude serum is required in the medium. Although several cell lines have either been adapted to serum-free conditions or grown normally in serum-free media supplemented with hormones, trace elements and defined serum components, this approach has never been applied to differentiating primary cells of the central nervous system. We now describe the successful cultivation of aggregating fetal rat brain cells in a chemically defined, serum-free medium.

Documentary material relating to the history of Iowa - Volume 1, 1895.

Benjamin F. Shambaugh edited and compiled documents and publications for this book on the history of Iowa. This volume 1 includes documentary material from the Louisiana Purchase, the Territories of the Northwest, Wisconsin and Iowa; the Convention of 1857;the Iowa Constitution of 1846 and the Ratification of Constitutional Amendments.

Documentary material relating to the history of Iowa - Volume 2, 1896.

Benjamin F. Shambaugh edited and compiled documents and publications for this book on the history of Iowa. This volume 2 is concerned with the history of local political organizations and documents illustrative of the development of local government in the Territory of the Northwest from 1787 to 1800, in the Territory of Indiana from 1800 to 1805 and in the Territory of Michigan from 1805 to September 6, 1834.

Effect of grade on disease-free survival and overall survival in FIGO stage I adenocarcinoma of the endometrium.

OBJECTIVE: To analyse the effect of differentiation on disease-free survival (DFS) and overall survival (OS) in patients with stage I adenocarcinoma of the endometrium. PATIENTS AND METHODS: From 1979 to 1995, 350 patients with FIGO stage IA-IC with well (G1), moderately (G2) or poorly (G3) differentiated tumors were treated with surgery and high dose-rate brachytherapy with or without external radiation. Median age was 65 years (39-86 years). RESULTS: The 5-year DFS was 88+/-3% for the G1 tumors, 77+/-4% for the G2 tumors, and 67+/-7% for the G3 tumors (P=0.0049). With regard to the events contributing to DFS, the 5-year cumulative percentage of local relapse was 4.6% for the G1 tumors, 9.0% for the G2 tumors, and 4.6% (P=0.027) for the G3 tumors. Cumulative percentage of metastasis was 1.4, 6.3 and 7.2% (P<0.001), respectively, whereas percentages of death were 6.0, 7.9 and 20.7% (P<0.001). The 5-year OS was 91+/-3, 83+/-4 and 76+/-7%, respectively (P=0.0018). In terms of multivariate hazard ratios (HR), the relative differences between the three differentiation groups correspond to an increase of 77% of the risk of occurrence of either of the three events considered for the DFS (HR=1.77, 95% CI [0.94-3.33]), (P=0.078) for the G2 tumors and of 163% (HR=2.63, 95% CI [1.27-5.43]), (P=0.009) for the G3 tumors with respect to the G1 tumors. The estimated relative hazards for OS are, respectively, in line with those for DFS: HR=1.51 (P=0.282) for the G2 tumors; and HR=3.37 (P=0.003) for the G3 tumors. CONCLUSION: Patients with grade 1 tumors are those least exposed to either local relapse, metastasis, or death. In contrast patients with grade 2 tumors seem to be at higher risk of metastasis, whereas patients with grade 3 tumors appear at higher risk of death. Since we have looked at the first of three competing events (local relapse, metastasis and death), this suggests that patients with grade 3 tumors probably progress to death so fast that local relapse, if any, cannot be observed.

Documentary material relating to the history of Iowa - Volume 3, 1896.

Benjamin F. Shambaugh edited and compiled documents and publications for this book on the history of Iowa. This volume 3 is a continuation of volume 2 which is concerned with the history of local political organization from 1787 to 1834. Documents are illustrative of the development of local government in Iowa from the establishment of the Territory of Wisconsin in 1836 to the revision of the statutes of Iowa in 1842-43. It includes documentary material from the Louisiana Purchase, the Territories of the Northwest, Wisconsin and Iowa; the Convention of 1857; the Iowa Constitution of 1846 and the Ratification of Constitutional Amendments.

Use of Railroad Flat Cars for Low-Volume Road Bridges, August 1999

In an attempt to solve the bridge problem faced by many county engineers, this investigation focused on a low cost bridge alternative that consists of using railroad flatcars (RRFC) as the bridge superstructure. The intent of this study was to determine whether these types of bridges are structurally adequate and potentially feasible for use on low volume roads. A questionnaire was sent to the Bridge Committee members of the American Association of State Highway and Transportation Officials (AASHTO) to determine their use of RRFC bridges and to assess the pros and cons of these bridges based on others’ experiences. It was found that these types of bridges are widely used in many states with large rural populations and they are reported to be a viable bridge alternative due to their low cost, quick and easy installation, and low maintenance. A main focus of this investigation was to study an existing RRFC bridge that is located in Tama County, IA. This bridge was analyzed using computer modeling and field load testing. The dimensions of the major structural members of the flatcars in this bridge were measured and their properties calculated and used in an analytical grillage model. The analytical results were compared with those obtained in the field tests, which involved instrumenting the bridge and loading it with a fully loaded rear tandem-axle truck. Both sets of data (experimental and theoretical) show that the Tama County Bridge (TCB) experienced very low strains and deflections when loaded and the RRFCs appeared to be structurally adequate to serve as a bridge superstructure. A calculated load rating of the TCB agrees with this conclusion. Because many different types of flatcars exist, other flatcars were modeled and analyzed. It was very difficult to obtain the structural plans of RRFCs; thus, only two additional flatcars were analyzed. The results of these analyses also yielded very low strains and displacements. Taking into account the experiences of other states, the inspection of several RRFC bridges in Oklahoma, the field test and computer analysis of the TCB, and the computer analysis of two additional flatcars, RRFC bridges appear to provide a safe and feasible bridge alternative for low volume roads.

Density dependence of the symmetry free energy of hot nuclei

The density and excitation energy dependence of symmetry energy and symmetry free energy for finite nuclei are calculated microscopically in a microcanonical framework, taking into account thermal and expansion effects. A finite-range momentum and density-dependent two-body effective interaction is employed for this purpose. The role of mass, isospin, and equation of state (EOS) on these quantities is also investigated; our calculated results are in consonance with the available experimental data.

Derivation of the gauge-invariant action for open and closed free bosonic string field theories

The gauge-invariant actions for open and closed free bosonic string field theories are obtained from the string field equations in the conformal gauge using the cohomology operations of Banks and Peskin. For the closed-string theory no restrictions are imposed on the gauge parameters.