CALCULATION OF STATIC PARAMETERS OF SILICON DIODE CONTAINING δ-LAYER OF TRIPLE-CHARGED POINT DEFECTS IN SYMMETRIC p–n-JUNCTION by N. A. Poklonski, A. I. Kovalev, N. I. Gorbachuk, S. V. Shpakovski

“…It was assumed that the cross-section for v-band hole capture on t-defects is greater than the cross-section for c-band electron capture on t-defects.The system of stationary nonlinear differential equations, which describe in the drift-diffusion approximation a migration of electrons and holes in semiconductors, is solved numerically. …”
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Fuzzy Networked Control Systems Design Considering Scheduling Restrictions by H. Benítez-Pérez, A. Benítez-Pérez, J. Ortega-Arjona, O. Esquivel-Flores

“…Therefore, it is necessary to study the behavior of the delays as well as the integration into differential equations of these bounded delays. The related time delays needs to be known a priory but from a dynamic real-time behavior. …”
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Modeling and simulation for toxicity assessment by Cristina Anton, Jian Deng, Yau Shu Wong, Yile Zhang, Weiping Zhang, Stephan Gabos, Dorothy Yu Huang, Can Jin

“…We consider a three dimensional system of differential equations with variables corresponding to the cell index, the intracellular concentration of toxicant, and the extracellular concentration of toxicant. …”
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Impact of Cell Size Effect on Nutrient-Phytoplankton Dynamics by Tiancai Liao, Hengguo Yu, Chuanjun Dai, Min Zhao

“…In this paper, a nutrient-phytoplankton model, which is described by a system of ordinary differential equations incorporating the effect of cell size, and its corresponding stochastic differential equation version are studied analytically and numerically. …”
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Accelerating and decelerating flow of radiatively Casson fluid between two permeable disks under convective boundary conditions by A. Naeem, Z. Abbas, M.Y. Rafiq

“…Jacobi elliptic sine square function is used to derive the solution of non-linear differential equations by transforming the equations into an elliptic integral form and then by using a change of variables which simplifies the governing equations so that the solution can be derived easily. …”
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Characterising the scale-up and performance of antiretroviral therapy programmes in sub-Saharan Africa: an observational study using growth curves by Benjamin Bigelow, Stéphane Verguet

“…We developed two ordinary differential equations models, the Gompertz and logistic growth models, that allowed for the estimation of summary parameters related to scale-up and rates of change in ART coverage. …”
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Evidence of Exponential Speed-Up in the Solution of Hard Optimization Problems by Fabio L. Traversa, Pietro Cicotti, Forrest Sheldon, Massimiliano Di Ventra

“…Then, we solve its associated nonlinear ordinary differential equations numerically, towards the equilibrium points. …”
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Causal models and prediction in cell line perturbation experiments by James P. Long, Yumeng Yang, Shohei Shimizu, Thong Pham, Kim-Anh Do

“…Next we present Cellbox, a recently proposed system of ordinary differential equations (ODEs) based model that obtained the best prediction performance on a Melanoma cell line perturbation data set (Yuan et al. in Cell Syst 12:128–140, 2021). …”
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Spatially Distributed Morphogen Production and Morphogen Gradient Formation by Arthur D. Lander, Qing Nie, Frederic Y. M. Wan

“…Partial differential equations and auxiliaryconditions governing the activities of the morphogen Dpp in Drosophila wingimaginal discs were formulated and analyzed as Systems B, R, and C in[7][9][10]. …”
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A quantitative analysis of Koopman operator methods for system identification and predictions by Zhang, Christophe, Zuazua, Enrique

“…It is based on the so-called Koopman operator, which uses the well-known link between differential equations and linear transport equations. Data-driven methods recover specific finite-dimensional approximations of the Koopman operator, which can be understood as a transport operator. …”
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How cells align to structured collagen fibrils: a hybrid cellular Potts and molecular dynamics model with dynamic mechanosensitive focal adhesions by Koen A. E. Keijzer, Erika Tsingos, Erika Tsingos, Roeland M. H. Merks, Roeland M. H. Merks

“…We present a hybrid computational model coupling three mathematical approaches: first, the cellular Potts model (CPM) describes an individual contractile cell; second, molecular dynamics (MD) represent the ECM as a network of cross-linked, deformable fibers; third, a set of ordinary differential equations (ODEs) describes the dynamics of the cell’s FAs, in terms of a balance between assembly and a mechanoresponsive disassembly. …”
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Mathematical Model and Characteristics of the Induction Motor with a Power Supply from a Current Source by V. S. Malyar, A. V. Malyar

“…The transients are described by the system of differential equations of electrical equilibrium of the transformed circuits of the motor and the equation of the rotor motion and the steady-state modes by the system of algebraic equation. …”
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Simulation modeling tools in training environmental science students by А. G. Kot, A. B. Achasov, O. Yu. Seliverstov, V. G. Karpov

“…Students are encouraged to create and investigate the "Predator Prey" model, which is based on the Volterra-Lotka system of differential equations. The model describes the dynamics of predator and prey populations in a closed and stationary system. …”
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On the Boundary Conditions in Out-of-Plane Analysis of Thin Plates by the Finite Point Method by Sadegh Tavakoliyan, Mohamad Najar, Parham Memarzadeh, Tadeh Zirakian

“…The finite point method (FPM) is a numerical, mesh-free technique for solving differential equations, particularly in fluid dynamics. While the FPM has been previously applied in solid mechanics to analyze plates under in-plane loading, there remains a notable scarcity of research exploring the out-of-plane analysis of elastic plates using this method. …”
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Entropy Analysis of Carreau Nanofluid Flow in the Presence of Joule Heating and Viscous Dissipation Past Unsteady Stretching Cylinder by Eshetu Haile Gorfie, Gizachew Bayou Zegeye, Gurju Awgichew Zergaw

“…The governing partial differential equations are transformed into first‐order initial value problems by similarity transformation and linearization. …”
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Analyzing crop production: Unraveling the impact of pests and pesticides through a fractional model by Navnit Jha, Akash Yadav, Ritesh Pandey, A.K. Misra

“…The feasibility of every possible nonnegative equilibrium and its stability characteristics are explored utilizing the stability theory of fractional differential equations. Our model analysis reveals that in a continuous spray approach, the roles of pesticide abatement rate and pesticide uptake rate can be interchanged. …”
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An Evolutionary Game Model of a Regional Logistics Service Supply Chain Complex Network in a Blockchain Environment by Guangsheng Zhang, Zhaomin Zhang

“…The stability theorem of differential equations is employed to elucidate the inherent decision-making mechanisms present in the game. …”
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On a New Epidemic Model with Asymptomatic and Dead-Infective Subpopulations with Feedback Controls Useful for Ebola Disease by M. De la Sen, A. Ibeas, S. Alonso-Quesada, R. Nistal

“…The global stability is formally discussed by using tools of qualitative theory of differential equations by using Gauss-Stokes and Bendixson theorems so that neither Lyapunov equation candidates nor the explicit solutions are used. …”
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Investigation of natural convection heat transfer in MHD fluid within a hexagonal cavity with circular obstacles by Mohammad Dehghan Afifi, Ali Jahangiri, Mohammad Ameri

“…The finite element method is employed to solve the governing partial differential equations of the system. This research focuses on the impact of innovative geometry, variations in Rayleigh and Hartmann numbers on flow patterns, temperature distribution and concentration fields. …”
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Inference of a three-gene network underpinning epidermal stem cell development in Caenorhabditis elegans by Alicja Brożek, Arianna Ceccarelli, Andreas Christ Sølvsten Jørgensen, Mark Hintze, Vahid Shahrezaei, Michalis Barkoulas

“…We validate its significance at the L1 stage with ordinary differential equations and Bayesian modeling, making testable predictions for a double mutant. …”
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