Introduction to modeling in physiology and medicine by Cobelli C., Carson E.

By Cobelli C., Carson E.

This unified modeling textbook for college students of biomedical engineering offers a whole path textual content at the foundations, thought and perform of modeling and simulation in body structure and medication. it really is devoted to the wishes of biomedical engineering and medical scholars, supported via utilized BME functions and examples. . built for biomedical engineering and comparable classes, with an interdisciplinary clinical/engineering method, quantitative foundation, and lots of utilized examples to augment studying. can provide a quantitative method of modeling and in addition covers simulation. Case reviews and engineering purposes from BME, plus finish of bankruptcy workouts and Instructor's guide

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In our example here, the ARIMA model adopted was of the form ARIMA(2, 1, 0). 2) where the x values are the modeled values of the urine potassium concentration at the daily times of measurement. 6 Autocorrelation function of the first differences of the urine potassium data (adapted from Flood and Carson, 1993). This example illustrates how ARIMA modeling can be used in fitting time series data. In practice, however, this modeling approach can be difficult when the number of data points is comparatively low.

The first is based on experimental data and is essentially a data-driven or blackbox modeling approach. In essence, this means seeking quantitative descriptions of physiological systems based on input/output descriptions that are derived from experimental data collected on the system. So these are mathematical descriptions of data that only correspond implicitly to the underlying physiology. These data-driven models are particularly appropriate where there is a lack of knowledge concerning the underlying physiology.

First the measurements can be discrete or continuous. Usually the variables themselves are continuous, but we can choose whether to collect the data as sample values at discrete time points or as continuous signals. For instance, the blood glucose concentration of a diabetic patient is a continuous signal, but typically such a patient might decide to measure his or her blood glucose concentration, say between four and eight times a day, corresponding to events such as meal times and bedtime. So although the variables are continuous, we have a set of data corresponding to values measured at discrete times.

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