PLEASE I NEED HELP!! I do not understand what to do. The name of articles are Mo

Question

PLEASE I NEED HELP!! I do not understand what to do. The name of articles are

Model for the Tissue Factor Pathway to Thrombin I. AN EMPIRICAL STUDY*
(Received for publication, March 10, 1994, and in revised form, June 28, 1994)
Jeffrey H. Lawson+, Michael Kalafatis, Shari Stram, and Kenneth G. MannO From the DeDartment of Biochemistry

and

A Model for the Tissue Factor Pathway to Thrombin 11. A MATHEMATICAL SIMULATION*
(Received for publication, March 10, 1994, and in revised form, June 28, 1994)
Kenneth C. Jones and Kenneth G. MannS From the Department of Biochemistry, Health Science Complex, University of Vermont, College of Medicine, Burlington, Vermont 05405-0068

The goal of this assignment is to reproduce the figures in the paper by using MATLAB to implement the model described in the Jones & Mann paper. This assignment combines and builds off of the coding you have been exposed to and the rate equations for enzyme kinetics. By completing this implementation, you will have gained an invaluable skillset of being able to use mathematical models to test hypotheses about the dynamics of biological systems Template MATLAB scripts will be provided separately. Submit the following components for grading (100 pts possible): 1. One matlab script (.m file) that: a. Encodes the differential equations that describe the coagulation cascade (10 pts) 2. One matlab script (.m file) that: Calls the differential equation script to reproduce each figure, complete with axes labels, titles, and legends (6x 10pts) Contains thoughtful documentation (i.e. well commented code) (10 pts) a. b. 3. A

Explanation / Answer

%Define variables based on input initial conditions array %For example, if the array is y = [1 3 8 10], y(2) will call the value 3 Substrate = y(1); Enzyme = y(2); Complex = y(3); Product = y(4); %Define rate constants k1 = k(1); k2 = k(2); k3 = k(3); %Governing equations ydot(1) = -k1 * Substrate * Enzyme + k2 * Complex; ydot(2) = -k1 * Substrate * Enzyme + k2 * Complex + k3 * Complex; ydot(3) = k1 * Substrate * Enzyme - k2 * Complex - k3 * Complex; ydot(4) = k3 * Complex; end

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