THE MAMMALIAN CIRCADIAN CLOCK: GENE REGULATORY NETWORK AND THEIR COMPUTER ANALYSIS by O. A. Podkolodnaya, N. N. Podkolodnaya, N. L. Podkolodnyy

“…This structural model, which includes the central component and functional subsystems that interact with the central component, can provide grounds for the construction of a mathematical model of the dynamics of the gene network regulating the circadian rhythm.…”
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Hybrid discrete-continuous model of invasive bladder cancer by Eugene Kashdan, Svetlana Bunimovich-Mendrazitsky

“…This type of cancer starts in theurothelium and progresses towards surroundingmuscles and tissues, causing metastatic disease.Our mathematical model of invasive BC consists of two coupledsub-models: (i) living cycle of the urothelial cells (normal and mutated) simulatedusing discrete technique of Cellular Automata and (ii) mechanism oftumor invasion described by the system of reaction-diffusionequations. …”
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A Novel Space-Time-Speed Method for Increasing the Passing Capacity with Safety Guaranteed of Railway Station by Junfeng Wang, Yang Yu, Renwei Kang, Jungang Wang

“…A method of variable train-approaching locking section is discussed; a mathematical model for increasing station passing capacity is shown. …”
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Vector Rayleigh Diffraction of High-Power Laser Diode Beam in Optical Communication by Qiang Xu, Renxian Li, Yuanyuan Zhang, Yiping Han, Zhensen Wu

“…Laser diodes (LDs) are widely used in optical wireless communication (OWC) and optical networks, and proper theoretical models are needed to precisely describe the complicated beam field of LDs. A novel mathematical model is proposed to describe the vectorial field of nonparaxial LD beams. …”
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Account of Mechanical Characteristics of Generalized Drive in Algorithm of Fast-Acting Self-Start of High-Voltage Synchronous Motors by V. V. Kourganau, U. V. Kryshneu, B. A. Vyaryga

“…Object of the investigation is control systems of high-voltage synchronous motors which are applied at industrial enterprises with continuous technological process.A mathematical model for the run-out of generalized assembly including a motor and a mechanism has been developed. …”
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Influence of wind disturbances and nonlinearities of servo drive on the contour of stabilization of the flight of height of unmanned aerial vehicle by V. A. Malkin, I. V. Rozhkov, A. A. San’ko

“…The article discusses a mathematical model of wind, taking into account its stochastic component and wind of a steady direction, presents the results of a comparative analysis of the effect of wind parameters on the total wind velocity vector acting on unmanned aerial vehicles (UAV). …”
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Effects of Vertical Transmission and Human Contact on Zika Dynamics by Abdoulaye Sow, Cherif Diallo, Hocine Cherifi

“…Therefore, it is essential to spot the relative importance of the various factors contributing to the transmission and prevalence of the disease. Many mathematical models have been formulated incorporating vector-to-human transmission or human-to-human transmission. …”
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A novel breath pattern model and analysis to minimize patient discomfort in medical ventilators by M. Deepa, R. Vidhyapriya, A. S. Raagul

“…A typical natural breath pattern of a healthy adult was experimentally measured using a CITRIX breath analyser and the above mathematical model for the volume-controlled ventilation was found to closely describe the natural breathing process, using statistical parameters. …”
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Environmental Supply Chain Performance Mapping of an Enterprise by Exploring a Novel Vague-Intellectual Approach by Juan Wang, M. Prabhu, Abatihun Alehegn Sewagegn, Anoop Kumar Sahu

“…The authors found as first RG that there are still no mathematical models that could address the generalized trapezoidal fuzzy set (GTFs) based green supply chain performance measurement (GSCPM) multi-level hierarchical index for computing the performance of a production enterprise in % except in the forms of GTF set/scale/crisp value. …”
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Evaluating the Impact Performance of Environmentally Friendly Asphalt Concrete Slabs Containing Different Proportions of Recycled Concrete Aggregate and Corrugated Steel Fibers by Walid Mansour, Diaa Ashraf, Ali Basha

“…Moreover, due to the low accuracy of existing mathematical models for predicting the penetration depth of asphalt slabs made with RCA, this research presents a developed mathematical model capable of accurately predicting the penetration depth of such slabs. …”
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Optimization of spline parameters in approximation of multivalued functions by D. A. Karpov, V. I. Struchenkov

“…The spline parameters were optimized using a new mathematical model in the form of a modified Lagrange function and a special nonlinear programming algorithm. …”
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Modeling Concrete Compressive Strength Variation with Age Using Origin Pro Software. by Nabaweesi, Alice

“…This study aims to develop a mathematical model that accurately predicts the variation of concrete compressive strength with age. …”
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PROSPECTS FOR THE SECOND WAVE OF THE GLOBAL FINANCIAL AND ECONOVIC CRISIS by V. F. Artyushkin

“…Procedure of an economic and political situation current through the situation at the world oil marketforecasting is offered in the article. The compact mathematical model of cycling market fluctuations is the basis of thetechnique. …”
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Controllability and Observability Criteria for Linear Piecewise Constant Impulsive Systems by Hong Shi, Guangming Xie

“…Impulsive differential systems are an important class of mathematical models for many practical systems in physics, chemistry, biology, engineering, and information science that exhibit impulsive dynamical behaviors due to abrupt changes at certain instants during the dynamical processes. …”
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Austenite grain growth calculation of 0.028% Nb steel by Priadi D., Napitupulu R.A.M., Siradj E.S.

“…In this research, we attempted to calculate a mathematical model for austenite grain growth of 0.028% Nb steel, which can account for abnormal grain growth. …”
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Modelling the Effects of Snail Control and Health Education in Clonorchiasis Infection in Foshan, China by Shujing Gao, Ruixia Yuan, Yujiang Liu, Xinzhu Meng

“…In this paper, a mathematical model of clonorchiasis sinensis is proposed to mimic its transmission dynamics to assess the effects of intervention strategies such as snail control, health education, and chemotherapy. …”
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On the frictionless unilateral contact of two viscoelastic bodies by M. Barboteu, T.-V. Hoarau-Mantel, M. Sofonea

“…We consider a mathematical model which describes the quasistatic contact between two deformable bodies. …”
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A hybrid model for traffic flow and crowd dynamics with random individual properties by Veronika Schleper

“…Based on an established mathematical model for the behavior of large crowds, a new model is derived that is able to take into account the statistical variation of individual maximum walking speeds. …”
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Decision Method of Bridge Deck Pavement Maintenance Based on the Decision Maker’s Objective by Xiaofei Liang, Jun Shi, Zhongmei Li

“…By the existing deterioration model, this paper studies the bridge operation safety maintenance strategy, establishes the mathematical model of the influence of different degrees of maintenance measures on the structural performance, combines with the cost-benefit theory, establishes the maintenance risk decision criteria for the decision makers with different objectives, and makes the decision on the selection of the bridge deck pavement scheme based on the enterprise position through an example.…”
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Partial Control of a Continuous Bioreactor: Application to an Anaerobic System for Heavy Metal Removal by M. I. Neria-González, P. A. López-Pérez, R. Aguilar-López

“…Furthermore, a nonlinear controllability analysis was done, which proved the closed-loop instability of the inner or uncontrolled dynamics of the bioreactor. A mathematical model, experimentally corroborated for cadmium removal, was employed as a benchmark for the proposed controller. …”
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