Advancing dental biofilm models: the integral role of pH in predicting S. mutans colonization by Jay S. Sangha, Valentina Gogulancea, Thomas P. Curtis, Nicholas S. Jakubovics, Paul Barrett, Aline Metris, Irina D. Ofiţeru

“…ABSTRACT Mathematical models can provide insights into complex interactions and dynamics within microbial communities to complement and extend experimental laboratory approaches. …”
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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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Numerical Treatment of a Modified MacCormack Scheme in a Nondimensional Form of the Water Quality Models in a Nonuniform Flow Stream by Nopparat Pochai

“…Two mathematical models are used to simulate water quality in a nonuniform flow stream. …”
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Stepwise fuzzy correction of the algorithm filters of random signals by A. A. Lobaty, A. S. Radkevich

“…It is assumed that the gauges are discrete and are described, like the original process assessed, by a discrete mathematical model in the form of difference equations. …”
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FORMALIZATION OF THE PROBLEM OF SELECTION OF AUTOMATED SYSTEM by A. V. Petukhov

“…Qualitative assessment is based on the theory of choice and decision making, which examines the mathematical models of this type of activity. In view of the fact that in the problem under consideration, many alternatives, which are automated systems, are known, it can be related to the choice problem. …”
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Influence of Turbulence Model for Wind Turbine Simulation in Low Reynolds Number by Masami Suzuki

“…In designing a wind turbine, the validation of the mathematical model’s result is normally carried out by comparison with wind tunnel experiment data. …”
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Kinetics and Equilibrium Studies on the Sorption of Manganese(II) and Nickel(II) onto Kaolinite and Bentonite by B. Sathyanarayana, K. Seshaiah

“…Freundlich and Langmuir's mathematical models were used to describe batch adsorption. …”
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On Solitary Wave Solutions for the Camassa-Holm and the Rosenau-RLW-Kawahara Equations with the Dual-Power Law Nonlinearities by Nattakorn Sukantamala, Supawan Nanta

“…The nonlinear wave equation is a significant concern to describe wave behavior and structures. Various mathematical models related to the wave phenomenon have been introduced and extensively being studied due to the complexity of wave behaviors. …”
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A Novel Approach to Numerical Modeling of Metabolic System: Investigation of Chaotic Behavior in Diabetes Mellitus by Payam Sadeghi Shabestari, Karthikeyan Rajagopal, Bahareh Safarbali, Sajad Jafari, Prakash Duraisamy

“…Although many mathematical models have been presented for glucose and insulin interaction, none of these models can describe diabetes disease completely. …”
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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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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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Unstable Modes and Order Parameters of Bistable Signaling Pathways at Saddle-Node Bifurcations: A Theoretical Study Based on Synergetics by Till D. Frank

“…Mathematical modeling has become an indispensable part of systems biology which is a discipline that has become increasingly popular in recent years. …”
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Tumor cells proliferation and migration under the influence of their microenvironment by Avner Friedman, Yangjin Kim

“…It is well known that tumor microenvironment affects tumor growth and metastasis:Tumor cells may proliferate at different rates and migrate indifferent patterns depending on the microenvironment in which they are embedded.There is a huge literature that deals with mathematical models oftumor growth and proliferation, in both the avascular andvascular phases. …”
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Estimation of Disease Transmission in Multimodal Transportation Networks by Yu Zheng

“…Mathematical models are important methods in estimating epidemiological patterns of diseases and predicting the consequences of the spread of diseases. …”
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Immunotherapy: An Optimal Control Theory Approach by K. Renee Fister, Jennifer Hughes Donnelly

“…We investigate mathematical models for the dynamics between tumor cells, immune-effector cells, and cytokine interleukin-2 (IL-2). …”
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THE PRODUCTION CAPACITY OF LEACHATE COLECTED FROM PIATRA NEAMT LANDFILL by MIHAI-COSMIN BELCIU, ALEXANDRA-DANA CHIȚIMUȘ, VALENTIN NEDEFF, NARCIS BÂRSAN, RUSU DRAGOȘ

“…This paper purpose an analysis of a Romanian Landfill, concerning leachate production. Mathematical models applied on landfill products create an environmental background in which concerns waste management in Romania. …”
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An optimal adaptive time-stepping scheme for solving reaction-diffusion-chemotaxis systems by Chichia Chiu, Jui-Ling Yu

“…Reaction-diffusion-chemotaxis systems have proven to be fairlyaccurate mathematical models for many pattern formation problems in chemistryand biology. …”
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Analysis and Synthesis March Memory Tests by V. N. Yarmolik, V. A. Levantsevich, D. V. Demenkovets

“…The paper shows the relevance of testing storage devices in modern computing systems. Mathematical models of memory device faults and the efficiency of their detection, in particular, complex pattern sensitive faults of the PNPSFk type, based on classical march memory tests are presented. …”
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Pinched hysteresis loops in non‐linear resonators by Ahmed S. Elwakil, Mohammed E. Fouda, Sohaib Majzoub, Ahmed G. Radwan

“…Abstract This study shows that pinched hysteresis can be observed in simple non‐linear resonance circuits containing a single diode that behaves as a voltage‐controlled switch. Mathematical models are derived and numerically validated for both series and parallel resonator circuits. …”
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Modeling colony collapse disorder in honeybees as a contagion by Christopher M. Kribs-Zaleta, Christopher Mitchell

“…There is still no consensus on what causes this phenomenon, called Colony Collapse Disorder, or CCD. Several mathematical models have studied CCD by only focusing on infection dynamics. …”
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