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In the following simulation exercises, the developed control schemes are implemented on the system mathematical model identified in "Mathematical modelling" section.
Employment of the mathematical model identified in the proper way should be important in estimating the radiation risk for cosmonauts and astronauts on long space missions such as a voyage to Mars or a lunar colony.
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The tuning procedure is illustrated on mathematical models identified from patient data and the corresponding PID controllers.
Legewie, S., Blüthgen, N. & Herzel, H. Mathematical modeling identifies inhibitors of apoptosis as mediators of positive feedback and bistability.
Conceptual and mathematical models identify the conditions under which annual semelparity has a selective advantage over perennial iteroparity, where semelparous and iteroparous life histories are discrete alternatives.
Hori, S. and Gambhir, S.S. Mathematical Model Identifies Blood Biomarker-Based Early Cancer Detection Strategies and Limitations.
However, this pattern is less obvious for the profile B. Using a mathematical model, we identified six typical profiles of geographical and temporal spread of an influenza pandemic, and the two key parameters influencing these profiles: the proportion of susceptible individuals in the initial population and the basic rate of transmission between individuals.
Using tissue instability quantified in 16 tissues as a phenotype and tissue microarray gene expression as a predictor, we built a mathematical model and identified a gene expression signature that accurately predicted tissue instability.
By means of a mathematical model, we identified 3 processes that can account for the observed decline: increase in high-risk behavior, decrease in proportion of acutely infected persons whose conditions are treated, and change in treatment efficacy.
Here, such a model is developed with the goals of: 1. representing the relevant mechanisms in an identifiable mathematical model; 2. identifying model parameters using appropriate data; 3. validating model predictions in comparison to data; and 4. probing hypotheses regarding the long-term control of arterial pressure and the etiology of primary hypertension.
After identifying effective nutrients, response surface methodology was used to develop a mathematical model to identify the optimum concentrations of the key nutrients for higher PGA production, and confirm its validity experimentally.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com