Power Spectral Density Conversions and Nonlinear Dynamics by Mostafa Rassaian

“…To predict the vibration environment of a payload carried by a ground or air transporter, mathematical models are required from which a transfer function to a prescribed input can be calculated. …”
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Application of Artificial Neural Networks and Adaptive Neuro-Fuzzy Inference Systems to Predict Activated Carbon Properties for Methane Storage by Ali Ahmadpour, Neda Jahanshahi, Sajjad Rashidi, Naser Chenarani, Mohammad Jaber Darabi Mahboub

“…However, because of complex relations between independent and dependent variables, the proposed statistical and mathematical models are not satisfactory. In this paper, the specifications of some ACs synthesized by chemical activation methods are predicted. …”
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Chip Thickness and Microhardness Prediction Models during Turning of Medium Carbon Steel by S. A. Alrabii, L. Y. Zumot

“…Chips were collected at different machining conditions and thickness and microhardness measurements taken and analyzed using “DESIGN EXPERT 7” experimental design software. Mathematical models of the responses (thickness and microhardness) as functions of the conditions (speed, feed, and depth of cut) were obtained and studied. …”
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Analysis of the Severity of Accidents on Rural Roads Using Statistical and Artificial Neural Network Methods by Mohammad Habibzadeh, Pooyan Ayar, Mohammad Hassan Mirabimoghaddam, Mahmoud Ameri, Seyede Mojde Sadat Haghighi

“…Finally, the performance of the proposed models was validated utilizing other mathematical models. As a result, putting the output results together, the best measures can be suggested to increase the safety of people on rural roads. …”
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Water Quality Analysis for the Depletion of Dissolved Oxygen due to Exponentially Increasing Form of Pollution Sources by N. Manitcharoen, B. Pimpunchat, P. Sattayatham

“…Analyzing and improving mathematical models for water quality investigation are imperative for water quality issues around the world. …”
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Effects of the Hot Alignment of a Power Unit on Oil-Whip Instability Phenomena by A. Vania, P. Pennacchi

“…By including these bearing coefficients in a mathematical model of the fully assembled machine, the real part of the eigenvalue associated with the first balance resonance of the generator rotor became positive. …”
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Influence of Concrete Creep on the Bending of a Prestressed Bridge Beam by Petr P. Gaidzhurov, Elvira R. Iskhakova, Nina A. Saveleva

“…Moreover, there are no mechanic-mathematical models of hereditary type oriented to the finite-element method.The concept of modelling of long-term deformation of reinforced concrete structures in a three-dimensional statement, based on the use of the integral deformation modulus of concrete, does not allow one to carry out designing considering the technological prehistory. …”
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Solving Advection Equations by Applying the Crank-Nicolson Scheme Combined with the Richardson Extrapolation by Zahari Zlatev, Ivan Dimov, István Faragó, Krassimir Georgiev, Ágnes Havasi, Tzvetan Ostromsky

“…Advection equations appear often in large-scale mathematical models arising in many fields of science and engineering. …”
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Protocols for translocation processes of flexible polymers through a pore using LAMMPS by Vrinda Garg, Rejoy Mathew, Arindam Chatterjee, Surya K. Ghosh

“…This protocol has potential applications in developing mathematical models for DNA sequencing, controlled drug delivery, and cellular transport processes.For complete details on the use and execution of this protocol, please refer to Garg et al.1 : Publisher’s note: Undertaking any experimental protocol requires adherence to local institutional guidelines for laboratory safety and ethics.…”
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Market-based pricing for road freight transportation by A. A. Aksentev

“…Statistically significant factors have been highlighted, and mathematical models have been constructed. The influence of fictitious variables (body type) that improve the quality of the calculated values has been noted. …”
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Complexity: Frontiers in Data-Driven Methods for Understanding, Prediction, and Control of Complex Systems 2022 on the Development of Information Theoretic Model Selection Criteria... by Andrea Murari, Michele Lungaroni, Riccardo Rossi, Luca Spolladore, Michela Gelfusa

“…It can be argued that the identification of sound mathematical models is the ultimate goal of any scientific endeavour. …”
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Optimal control applied to vaccination and treatmentstrategies for various epidemiological models by Holly Gaff, Elsa Schaefer

“…Mathematical models provide a powerful tool for investigating thedynamics and control of infectious diseases, but quantifying theunderlying epidemic structure can be challenging especially for newand under-studied diseases.Variations of standard SIR, SIRS, and SEIR epidemiologicalmodels are considered to determine the sensitivity of these models tovarious parameter values that may not be fully known when the models areused to investigate emerging diseases. …”
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An elementary approach to modeling drug resistance in cancer by Cristian Tomasetti, Doron Levy

“…In this work we consider the problem ofdrug resistance in cancer, focusing on random genetic point mutations.Most previous works on mathematical models of such drug resistancehave been based on stochastic methods. …”
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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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The Effects of Poverty on Health Outcomes in Nigeria: An ARDL Approach by Abdulrahman Abdulganiyu Idris

“…In order to simulate how poverty affects health outcomes in Nigeria, the study utilized mathematical models to determine whether Nigeria health results (CO2 emission, patients per physician, life expectancy rate, and poverty rate) responds to poverty shock. …”
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Hidden Attractors in Chaotic Systems with Nonlinear Functions by Safara Bibi, Juan Hugo García López, Rider Jaimes-reategui, Hafiz Muhammad Zeeshan, Guillermo Huerta-cuellar

“…These attractors can arise in various mathematical models, such as the Lorenz system, Rössler system, or Chua's circuit. …”
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How and why do neurons generate complex rhythms with various frequencies? by Teresa Ree Chay, Young Seek Lee

“…In the first part of this review, we illustrate that such rhythms can be generated from simple yet elegant mathematical models. Chaos embedded in rhythmic activity has interesting characteristics that are not seen in other physical systems. …”
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The analysis of losses in protected and non-insulated wires in stationary modes, taking into account weather conditions by E. V. Petrova, S. S. Girshin, V. A. Krivolapov, K. V. Khatsevskiy, V. N. Goryunov, V. M. Trotsenko

“…On the other hand, the presence of insulation requires the development of more complex mathematical models to adequately describe their behavior and study the characteristics of new wires during operation. …”
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A toxin-mediated size-structured population model: Finite difference approximation and well-posedness by Qihua Huang, Hao Wang

“…The question of the effects of environmental toxins on ecological communities is of great interest from both environmental and conservational points of view. Mathematical models have been applied increasingly to predict the effects of toxins on a variety of ecological processes. …”
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Measuring. Monitoring. Management. Control by B.V. Chuvykin, I.A. Dolgova, G.V. Milovzorov

“…To solve the problem, the methods of the mathematical apparatus of the theory of integer functions of exponential type, the theory of wavelets or mathematical models in the time domain were used. When applying these methods, the restoration of the distorted amplitude of pulsed information signals depending on the frequency-time properties of the signals is carried out at the stage of digital processing of the measuring signal by solving systems of linear equations. …”