Review on Mathematical and Mechanical Models of the Vocal Cord by L. Cveticanin

“…The corresponding mathematical models are the systems of coupled second-order differential equations which describe the vibrations of the symmetric and asymmetric vocal folds. …”
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A Polling-Based Dynamic Order-Picking System considering Priority Orders by Wenxue Ran, Sen Liu, Zhe Zhang

“…We divide orders into priority and common categories according to their time urgency. A mathematical model is established for such a system by applying polling theory, a probability generating function, and an embedded Markov chain. …”
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Dynamic Recrystallization and Recovery Behaviors in Austenite of a Novel Fe-1.93Mn-0.07Ni-1.96Cr-0.35Mo Ultrahigh Strength Steel by Yongli Chen, Yuhua Li, Xuejiao Zhou, Yueyue Jiang, Fei Tan

“…In this work, the effect of deformation parameters on dynamic recrystallization (DRX) and dynamic recovery (DRV) is discussed through stress-strain analysis, the DRV mathematical model is obtained, and then the dynamic recrystallization activation energy, Zener–Hollomon equation, and hot working equation are obtained. …”
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Dynamical analysis for a hepatitis B transmission model with immigration and infection age by Suxia Zhang, Hongbin Guo, Robert Smith?

“…We investigate the effect of immigration and infection age on HBV transmission dynamics, incorporating age-dependent immigration flow and vertical transmission. The mathematical model can be used to describe HBV transmission in highly endemic regions with vertical transmission and migration of infected HBV individuals. …”
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On optimal chemotherapy with a strongly targeted agent for a model of tumor-immune system interactions with generalized logistic growth by Urszula Ledzewicz, Omeiza Olumoye, Heinz Schättler

“…In this paper, a mathematical model for chemotherapy that takestumor immune-system interactions into account is considered for astrongly targeted agent. …”
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A Heuristic Genetic Algorithm for Regional Targets’ Small Satellite Image Downlink Scheduling Problem by Yan-Jie Song, Zhong-Shan Zhang, Kai Sun, Feng Yao, Ying-Wu Chen

“…In this paper, regional targets are considered with SSIDSP. We propose a mathematical model that maximizes profit by considering time value and regional targets. …”
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The role of feedback in the formation of morphogen territories by David Iron, Adeela Syed, Heidi Theisen, Tamas Lukacsovich, Mehrangiz Naghibi, Lawrence J. Marsh, Frederic Y. M. Wan, Qing Nie

“…In this paper, we consider a mathematical model for the forma-tion of spatial morphogen territories of two key morphogens: Wingless (Wg)and Decapentaplegic (DPP), involved in leg development of Drosophila. …”
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Reconfigurable Articulated Robot Using Android Mobile Device by A.H. Rajpar, Ahmad. E. Eladwi, Imran Ali, Mohamed Bashir Ali Bashir

“…We introduce a set of conveniently composed kinematic and dynamic mathematical models for positioning the robot’s arms and, in our results and discussion section, calculate and report the torque required to move each joint.…”
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Resonance Effect Decrease and Accuracy Increase of Piezoelectric Accelerometer Measurement by Appropriate Choice of Frequency Range by Zine Ghemari, Saad Salah, Rabah Bourenane

“…A suitable piezoelectric accelerometer mathematical model is proposed to extract a relationship of motion relative frequency as a function of natural frequency. …”
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Weighted Multimodel Predictive Function Control for Automatic Train Operation System by Shuhuan Wen, Jingwei Yang, Ahmad B. Rad, Shengyong Chen, Pengcheng Hao

“…Train operation is a complex nonlinear process; it is difficult to establish accurate mathematical model. In this paper, we design ATO speed controller based on the input and output data of the train operation. …”
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Sliding Mode Output Feedback Control of a Flexible Rotor Supported by Magnetic Bearings by A. S. Lewis, A. Sinha, K. W. Wang

“…It is assumed that the number of states is greater than the number of sensors. A mathematical model of the rotor]magnetic bearing system is presented in terms of partial differential equations. …”
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Oscillator with a Sum of Noninteger-Order Nonlinearities by L. Cveticanin, T. Pogány

“…Free and self-excited vibrations of conservative oscillators with polynomial nonlinearity are considered. Mathematical model of the system is a second-order differential equation with a nonlinearity of polynomial type, whose terms are of integer and/or noninteger order. …”
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Analysis of the Instability Phenomena Caused by Steam in High-Pressure Turbines by Paolo Pennacchi, Andrea Vania

“…As a consequence, the eigenvalues and eigenmodes of the mathematical model of the machine change. The real part of the eigenvalue associated with the first flexural normal mode of the turbine shaft may become positive causing the conditions for unstable vibrations. …”
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Modeling the dynamics of two-factor socio-economic states through mappings close to extension by V. V. Egorov

“…A new way of developing a mathematical model of the dynamics of the factors forming the considered social, political, economic, ecological or other space of life activity of society, depending on local changes in parameters affecting these factors, is presented. …”
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Higher-order topology for collective motions by Zijie Sun, Tianjiang Hu

“…Abstract Collective motions are prevalent in various natural groups, such as ant colonies, bird flocks, fish schools and mammal herds. Physical or mathematical models have been developed to formalize and/or regularize these collective behaviors. …”
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Similarities and differences between working processes of Ranque effect and Hartmann–Sprenger tube by V. I. Kuznetsov, V. V. Makarov, A. Yu. Shander

“…The physical and mathematical models of the processes occurring in the vortex tubes (Ranque effect) and Hartmann–Sprenger tube. …”
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Control of Limit Cycle Oscillation in a Three Degrees of Freedom Airfoil Section Using Fuzzy Takagi-Sugeno Modeling by Douglas Domingues Bueno, Luiz Carlos Sandoval Góes, Paulo José Paupitz Gonçalves

“…The proposed methodology is developed for the three degrees of freedom typical section airfoil considering aerodynamic forces from Theodorsen’s theory. The mathematical model is written in the state space representation using rational function approximation to write the aerodynamic forces in time domain. …”
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The replicability of oncolytic virus: Defining conditions in tumor virotherapy by Jianjun Paul Tian

“…This article analyzes a basic mathematical model that includes burst size for oncolyticvirotherapy. …”
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The surface of non-linear rotation by K. L. Panchuk, T. M. Myasoyedova

“…The paper considers a geometric scheme, a mathematical model and an algorithm for shaping a non-linear rotation surface. …”
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Questions from the fourth son: A clinician reflects on immunomonitoring, surrogate markers and systems biology by Charles Wiseman, M.D.

“…The development of mathematical models from empirical data may help inform the clinician/scientist about underlying mechanisms and help frame new testable hypotheses.…”
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