Subgroup identification of targeted therapy effects on biomarker for time to event data.

Background: The initiation biomarker-driven trials have revolutionized oncology drug development by challenging the traditional phased approach and introducing basket studies. Notable successes in non-small cell lung cancer (NSCLC) with ALK, ALK/ROS1, and EGFR inhibitors have prompted the need to expand this approach to other cancer sites.

Objectives: This study explores the use of dose response modeling and time-to-event algorithms on the biomarker molecular targeted agent (MTA).

Optimal Scheduling in General Multi-Queue System by Combining Simulation and Neural Network Techniques.

The problem of optimal scheduling in a system with parallel queues and a single server has been extensively studied in queueing theory. However, such systems have mostly been analysed by assuming homogeneous attributes of arrival and service processes, or Markov queueing models were usually assumed in heterogeneous cases. The calculation of the optimal scheduling policy in such a queueing system with switching costs and arbitrary inter-arrival and service time distributions is not a trivial task.

Dynamic Smoothing, Filtering and Differentiation of Signals Defining the Path of the UAV.

On the example of a control system for an unmanned aerial vehicle, we consider the problems of filtering, smoothing and restoring derivatives of reference action signals. These signals determine the desired spatial path of the plant at the first approximation. As a rule, researchers have considered these problems separately and have used different methods to solve each of them.

A New Mathematical Model of Functionally Graded Porous Euler-Bernoulli Nanoscaled Beams Taking into Account Some Types of Nonlinearities.

A new mathematical model of flexible physically (FN), geometrically (GN), and simultaneously physically and geometrically (PGN) nonlinear porous functionally graded (PFG) Euler-Bernoulli beams was developed using a modified couple stress theory. The ceramic phase of the functionally material was considered as an elastic material. The metal phase was considered as a physically non-linear material dependent on coordinates, time, and stress-strain state, which gave the opportunity to apply the deformation theory of plasticity.

Deep Neural Network Recognition of Rivet Joint Defects in Aircraft Products.

The mathematical statement of the problem of recognizing rivet joint defects in aircraft products is given. A computational method for the recognition of rivet joint defects in aircraft equipment based on video images of aircraft joints has been proposed with the use of neural networks YOLO-V5 for detecting and MobileNet V3 Large for classifying rivet joint states. A novel dataset based on a real physical model of rivet joints has been created for machine learning.

A general framework to link theory and empirics in opinion formation models.

We introduce a minimal opinion formation model that is quite flexible and can reproduce a wide variety of the existing micro-influence assumptions and models. The model can be easily calibrated on real data, upon which it imposes only a few requirements. From this perspective, our model can be considered as a bridge, connecting theoretical studies on opinion formation models and empirical research on social dynamics.

Quantal response equilibrium for the Prisoner's Dilemma game in Markov strategies.

Within the studies of human cooperation, there are gaps that require further investigation. One possible area for growth is developing theoretical concepts which describe high levels of cooperation. In this paper, we present a symmetrical quantal response equilibrium (QRE) in Prisoner's Dilemma game (PD) constructed in Markov strategies (tolerance to defection and mutual cooperation).

A Probabilistic Approach to Estimating Allowed SNR Values for Automotive LiDARs in "Smart Cities" under Various External Influences.

The paper proposes an approach to assessing the allowed signal-to-noise ratio (SNR) for light detection and ranging (LiDAR) of unmanned autonomous vehicles based on the predetermined probability of false alarms under various intentional and unintentional influencing factors. The focus of this study is on the relevant issue of the safe use of LiDAR data and measurement systems within the "smart city" infrastructure. The research team analyzed and systematized various external impacts on the LiDAR systems, as well as the state-of-the-art approaches to improving their security and resilience.

Peculiarities and Applications of Stochastic Processes with Fractal Properties.

In this paper, the fractal properties of stochastic processes and objects in different areas were specified and investigated. These included: measuring systems and sensors, navigation and motion controls, telecommunication systems and networks, and flaw detection technologies. Additional options that occur through the use of fractality were also indicated and exemplified for each application.

The connection between rs6265 polymorphism in the gene and successful mastering of the video-oculographic interface.

A video-oculographic interface is a system for controlling objects using eye movements. The video-oculographic interface differs from other brain-computer interfaces regarding its improved accuracy, simplicity, and ergonomics. Despite these advantages, all users are not equally successful in mastering these various devices.

[The analysis of health condition of individuals aged 40 years and older and going in for sports].

The attitude to high physical loads on organism in the middle and older age groups is ambiguous, from optimistic to completely pessimistic, associated with possibility of development pathological processes because of high physical activity. The purpose of the study is to evaluate health status of people aged 40 years and older involved in sports. The health data was obtained through interviewing athletes aged 40 years and older competing in track and field events at distances of 10 kilometers or more.

National Security Indicators Forecasting through the Pandemic.

We consider the actual task of developing a mathematical apparatus for quick assessment of the political, social, and economic situation by analyzing the most significant security indicators, taking into account the impact of the pandemic. Therefore we have developed a model concept for predicting national security indicators based on systemic dynamics. Mathematical models created under this concept will consider national security indicators used in some countries' documents (White Papers) and a set of factors describing the situation with the spread of Covid-19.

On Higher Order Structures in Thermodynamics.

We present the development of the approach to thermodynamics based on measurement. First of all, we recall that considering classical thermodynamics as a theory of measurement of extensive variables one gets the description of thermodynamic states as Legendrian or Lagrangian manifolds representing the average of measurable quantities and extremal measures. Secondly, the variance of random vectors induces the Riemannian structures on the corresponding manifolds.

Optimal Thermodynamic Processes For Gases.

In this paper, we consider an optimal control problem in the equilibrium thermodynamics of gases. The thermodynamic state of the gas is given by a Legendrian submanifold in a contact thermodynamic space. Using Pontryagin's maximum principle, we find a thermodynamic process in this submanifold such that the gas maximizes the work functional.

A novel approach for predicting protein S-glutathionylation.

Background: S-glutathionylation is the formation of disulfide bonds between the tripeptide glutathione and cysteine residues of the protein, protecting them from irreversible oxidation and in some cases causing change in their functions. Regulatory glutathionylation of proteins is a controllable and reversible process associated with cell response to the changing redox status. Prediction of cysteine residues that undergo glutathionylation allows us to find new target proteins, which function can be altered in pathologies associated with impaired redox status.

The Use of the Blockchain Technology and Digital Watermarking to Provide Data Authenticityon a Mining Enterprise.

Prompt development of information technology has made an essential impact on many industries. There appeared a concept "Industry 4.0" symbolizing the fourth industrial revolution.

Simulating Small Neural Circuits with a Discrete Computational Model.

Simulations of neural activity are commonly based on differential equations. We address the question what can be achieved with a simplified discrete model. The proposed model resembles artificial neural networks enriched with additional biologically inspired features.

Modeling functional specialization of a cell colony under different fecundity and viability rates and resource constraint.

The emergence of functional specialization is a core problem in biology. In this work we focus on the emergence of reproductive (germ) and vegetative viability-enhancing (soma) cell functions (or germ-soma specialization). We consider a group of cells and assume that they contribute to two different evolutionary tasks, fecundity and viability.

Meta-server for automatic analysis, scoring and ranking of docking models.

Motivation: Modelling with multiple servers that use different algorithms for docking results in more reliable predictions of interaction sites. However, the scoring and comparison of all models by an expert is time-consuming and is not feasible for large volumes of data generated by such modelling.

Results: Quality ASsessment of DOcking Models (QASDOM) Server is a simple and efficient tool for real-time simultaneous analysis, scoring and ranking of data sets of receptor-ligand complexes built by a range of docking techniques.

The Influence of Monocular Spatial Cues on Vergence Eye Movements in Monocular and Binocular Viewing of 3-D and 2-D Stimuli.

The influence of monocular spatial cues on the vergence eye movements was studied in two series of experiments: (I) the subjects were viewing a 3-D video and also its 2-D version-binocularly and monocularly; and (II) in binocular and monocular viewing conditions, the subjects were presented with stationary 2-D stimuli containing or not containing some monocular indications of spatial arrangement. The results of the series (I) showed that, in binocular viewing conditions, the vergence eye movements were only present in the case of 3-D but not 2-D video, while in the course of monocular viewing of 2-D video, some regular vergence eye movements could be revealed, suggesting that the occluded eye position could be influenced by the spatial organization of the scene reconstructed on the basis of the monocular depth information provided by the viewing eye. The data obtained in series (II), in general, seem to support this hypothesis.