Rapid Mathematical Programming for Cooperative Truck Networks

Many biological assays require the ability to isolate and process single cells. Some research fields, such as the characterization of rare cells, the in vitro processing of stem cells, and the study of early stage cell differentiation, call for the additional and typically unmet ability to work with extremely low-count cell populations. In all these cases, efficient single-cell handling must be matched with the ability to work on a limited number of cells with a low cell loss rate. In this paper, we present a platform combining flow-through processing with deterministic (nonstatistical) patterning of cells coming from extremely small cell populations. We describe here modules using dielectrophoresis to control the position of cells flowing in microchannels and to pattern them in open microwells where cells were further analyzed. K562 cells continuously flowing at a speed of up to 100 μm/s were tridimensionally focused, aligned, and patterned inside microwells. A high-patterning yield and low cell loss rate were demonstrated experimentally: 15uL drops, containing an average of 15 cells, were transferred to the microchannel with an 83% yield, and cells were then patterned into microwells with a 100% yield. The deterministic patterning of cells was demonstrated both by isolating single cells in microwells and by creating clusters composed of a predetermined number of cells. Cell proliferation was assessed by easily recovering cells from open microwells, and a growth rate comparable to the control was obtained

Solving dynamic stochastic economic models by mathematical programming decomposition methods.

Discrete-time optimal control problems arise naturally in many economic problems. Despite the rapid growth in computing power and new developments in the literature, many economic problems are still quite challenging to solve. Economists are aware of the limitations of some of these approaches for solving these problems due to memory and computational requirements. However, many of the economic models present some special structure that can be exploited in an efficient manner. This paper introduces a decomposition methodology, based on a mathematical programming framework, to compute the equilibrium path in dynamic models by breaking the problem into a set of smaller independent subproblems. We study the performance of the method solving a set of dynamic stochastic economic models. The numerical results reveal that the proposed methodology is efficient in terms of computing time and accuracyDynamic stochastic economic model; Computation of equilibrium; Mathematical programming; Decomposition techniques;

Automated code generation for discontinuous Galerkin methods

A compiler approach for generating low-level computer code from high-level input for discontinuous Galerkin finite element forms is presented. The input language mirrors conventional mathematical notation, and the compiler generates efficient code in a standard programming language. This facilitates the rapid generation of efficient code for general equations in varying spatial dimensions. Key concepts underlying the compiler approach and the automated generation of computer code are elaborated. The approach is demonstrated for a range of common problems, including the Poisson, biharmonic, advection--diffusion and Stokes equations

Methodological basis of studying the topic "Operating System" in preparing future teachers

Стрімкий розвиток інформатики як науки, вдосконалення засобів обчислювальної техніки та програмного забезпечення призводить до швидкого застарівання навичок роботи з конкретними програмними продуктами. Відомий спеціаліст у галузі програмування Дональд Кнут, відмічаючи цю тенденцію, підкреслює необхідність навчання концептуальних основ інформатики, її математичної та алгоритмічної складових, що формують загальні прийоми та методи роботи майбутнього спеціаліста.The rapid development of science as a science, improvement of computer hardware and software leads to the rapid obsolescence of skills specific software. A well-known expert in programming Donald Knuth, noting this trend underscores the need to study the conceptual foundations of science, its mathematical and algorithmic components that form the common techniques and methods of the future specialist