Physiology-informed regularisation enables training of universal differential equation systems for biological applications. by Max de Rooij, Balázs Erdős, Natal A W van Riel, Shauna D O'Donovan

“…Systems biology tackles the challenge of understanding the high complexity in the internal regulation of homeostasis in the human body through mathematical modelling. These models can aid in the discovery of disease mechanisms and potential drug targets. …”
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Quantification of external disturbance forces in sliding microwire by Fazlar Rahman, M.A. Salam Akanda

“…Analytical assessment is also complex because of multi-physics involvement, nonlinearity of forces, and a lack of suitable mathematical models. Numerical analysis of microstructures is performed in the absence of all disturbance forces, whereas their influences cannot be eliminated during the experiment. …”
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Comparative Study of ɛ-Polylysine or Nisin Inhibition Kinetics of Lactococcus lactis and Spoilage Microorganisms in Fresh Flammulina velutipes Fruiting Bodies by Qi Wei, Xinyuan Pan, Zhen Jia, Changcheng Li, Bingzhi Chen, Ting Fang, Yuji Jiang

“…The objective of this study was to investigate the effect of ɛ-PL or nisin on the growth of L. lactis and background (BK) microorganisms in fresh Flammulina velutipes fruiting bodies (FVFB) and develop mathematical models to predict their growth behavior. The effect of ɛ-PL (0.15 and 0.30 g/kg) or nisin (0.10 and 0.20 g/kg) on the growth of L. lactis and BK microorganisms in FVFB was analyzed at 4, 16, and 20°C. …”
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Estimating the Force of Infection with Helicobacter pylori in Japan by Taishi Kayano, Ki-Deok Lee, Hiroshi Nishiura

“…The present study employed mathematical models to estimate the time- and age-dependent force of infection with H. pylori in Japan, predicting the future seroprevalence by time and age. …”
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A BIM-Based Study on the Comprehensive Benefit Analysis for Prefabricated Building Projects in China by Yingbo Ji, Siwei Chang, Yuan Qi, Yan Li, Hong Xian Li, Kai Qi

“…However, there is a lack of an appropriate pattern for evaluating its comprehensive economic merits, and reasonable mathematical models for providing a comparative analysis of conventional cast-in-situ and prefabricated building projects have yet to be developed. …”
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Application of Neural Network in the Stability of Biped Robot and Embedded Control of Walking Mode by Jianrui Zhang, Zhaohui Yuan, Huan Geng, Sheng Dong, Fuli Zhang, Jingchao Li

“…A method of establishing precise mathematical modeling and stability analysis is proposed. …”
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The effects of SN Ps in the regions of positioning RNA polymerase II on the TBP/promoter affinity in the genes of human circadian clock by O. A. Podkolodnaya, D. A. Rasskazov, N. L. Podkolodnyy, N. N. Podkolodnaya, V. V. Suslov, L. K. Savinkova, P. M. Ponomarenko, M. P. Ponomarenko

“…These predictions are important for identification of candidate SNP markers of various pathologies associated with the dysfunction of circadian clock genes for further testing them in experimental and clinical studies, as well as for verification of mathematical models of the circadian oscillator.…”
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Application of quantitative protein mass spectrometric data in the early predictive analysis of membrane-bound target engagement by monoclonal antibodies by Armin Sepp, Morris Muliaditan

“…Model-informed drug discovery advocates the use of mathematical modeling and simulation for improved efficacy in drug discovery. …”
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Developing a GIS Model for Identifying Bear Corridors with Open-Source Data: The Romanian Context by Sanda Roșca, Alexandru Chira, Iuliu Vescan, Ștefan Bilașco, Ioan Fodorean, András-István Barta, Vasile Ceuca, Paul Sestraș

“…The analysis of these habitats, where the bear population has exceeded the optimal level that they can support, highlighted that to allow the passage of bear specimens from one habitat to another, it is necessary to create ecological corridors in several key areas deducted on the basis of mathematical models.…”
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A study on fuzzy cognitive maps using fuzzy inference system by Appasamy Saraswathi, Seyyed Edalatpanah, Sanaz Hami Hassan Kiyadeh

“…Due to a lack of information, the future state of the real system might not be known completely. Fuzzy mathematical modelling represents a real-world problem in a mathematical form to find solutions to the problem that correspond closely to how humans perceive it. …”
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Uncertainty Quantification for a Hydraulic Fracture Geometry: Application to Woodford Shale Data by Batoul M. Gisler

“…The reliability of these mathematical models hinges on the uncertainties in the input parameters because uncertainty propagates to the output solution resulting in incorrect interpretations. …”
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ENERGY EFFICIENCY AND ASSESSMENT METHODS OF TECHNOLOGICAL SYSTEMS OF WATER SUPPLY AND WATER DISPOSAL by A. A. Kapansky

“…The original basic mathematical models of common costs and unit costs of electrical power in the water supply and water disposal systems, which are the basis for the solution of the problems of forecasting and the current state assessment of energy efficiency of enterprises, the selection of priority areas of energy efficiency and finding the ways to save energy resources, are presented.…”
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Field‐programmable gate array acceleration of the Tersoff potential in LAMMPS by Quan Deng, Qiang Liu

“…Besides, multilevel parallelizations are implemented to enable the accelerator to be flexibly deployed on FPGAs of different scales and achieve good performance. Finally, mathematical models of the accelerator are built, and a method for using the models to determine the optimal‐performance parameters is proposed. …”
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Time to Consensus in International Negotiations by I. Z. Aronov, O. V. Maksimova

“…Utilizing formal mathematical modeling based on a modified DeGroot model, this article explores how variables such as the size of the negotiating group, the level of authoritativeness, dominance dynamics within the group, and coalition formation affect the time required to achieve consensus. …”
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Theoretical and numerical study of profit in agricultural sector model using wavelet method by Yeshwanth R., Kumbinarasaiah S.

“…Together, numerical simulations and mathematical modeling analysis enhance agricultural management and understanding while offering crucial insights into the dynamics of agricultural profit. …”
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A comparative approach of analyzing data uncertainty in parameter estimation for a Lumpy Skin Disease model by Edwiga Renald, Miracle Amadi, Heikki Haario, Joram Buza, Jean M. Tchuenche, Verdiana G. Masanja

“…This has driven the interest to research efficient mitigating measures towards controlling the transmission of LSD. Mathematical models of real-life systems inherit loss of information, and consequently, accuracy of their results is often complicated by the presence of uncertainties in data used to estimate parameter values. …”
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Drying Kinetics and Changes of Total Phenolic Content, Antioxidant Activity and Color Parameters of Mango and Avocado Pulp in Refractance Window Drying by Thi-Van-Linh Nguyen, Quoc-Duy Nguyen, Phuoc-Bao-Duy Nguyen

“…The Weibull was the best fit model among eight investigated mathematical models that could determine the drying behavior. …”
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Comparative Evaluation of the Adsorption Performance of Citric Acid-Treated Peels of Trapa natans and Citrullus lanatus for Cationic Dyes Degradation from Water by Muhammad Sadiq Hussain, Rabia Rehman, Muhammad Imran

“…The Langmuir model was best fitted to equilibrium experimental data as compared to Freundlich and Temkin isothermal mathematical models with Qmax of 15.63 and 27.55 mg/g for RAD using C-TP and C-CP, respectively, whereas, for BLG on C-TP and C-CP, it was 128 and 189 mg/g, respectively. …”
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On Semi-c-Periodic Functions by M. T. Khalladi, M. Kostić, M. Pinto, A. Rahmani, D. Velinov

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Revised Variational Iteration Method for Solving Systems of Nonlinear Fractional-Order Differential Equations by C. Ünlü, H. Jafari, D. Baleanu

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