# Lab09 - Laboratory Exercise Number 9 Simulink and Algae...

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Laboratory Exercise Number 9 Simulink and Algae Growth Assignment : This laboratory unit is intended to introduce you to Simulink, a toolbox within Matlab that allows symbolic programming. Unlike the Matlab code we’ve worked with so far, Simulink is based on blocks that consist of operations and objects. The blocks are linked to form systems. Simulink is particularly suited to model and analyze dynamic (changing) systems. Today’s exercise will require you to create a system of blocks to simulate growth of an algal population that is limited by a single nutrient. This exercise will lead into a Simulink program that will model algae population in a lake over the course of a year. The goal of this week’s lab is to create a graph of algae concentration over time. Background : In the very first laboratory exercise of this semester we modeled unconstrained growth in bacterial populations, or “first-order growth kinetics”. Because all growth is constrained, whether it be through lack of space, light, or a specific nutrient, first order growth kinetics may not be ideal for modeling a real world population. If the problem you are interested in modeling is of short duration without any limitations (such as bacteria in a macaroni salad left in the sunlight on a summer picnic) first order kinetics may be adequate past the point of making you very sick, at which point more complex modeling will not matter to you. However, if longer term predictions are required, something better is necessary. In the unconstrained growth example of Laboratory Exercise 1, the rate of change of the number in a population (X) was considered to be a constant, μ (the growth rate), multiplied by the current number in the population. ݎ ൌߤܺ (1) However, this takes no consideration of the observation that not all cells survive and there is some loss of the population due to consumption by swim-by predators, starvation, and any other number of hazards an average algal cell faces in its short but basically contented life. The rate of

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## This note was uploaded on 09/28/2009 for the course BEE 1510 taught by Professor Staff during the Fall '05 term at Cornell University (Engineering School).

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Lab09 - Laboratory Exercise Number 9 Simulink and Algae...

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