1 Statement of Work Final Project BME3240 Computational Methods in Biomedical Engineering Florida Institute of Technology 20 November 2019 2 Contents Background …………………………………………………………………………………………………………………………… 3 Scope of Work ……………………………………………………………………………………………………………………….. 3 Period of Performance ……………………………………………………………………………………………………………. 3 Place of Performance ……………………………………………………………………………………………………………… 3 Work Requirements ……………………………………………………………………………………………………………….. 4 Deliverables ………………………………………………………………………………………………………………………….. 6 3 Background Students enrolled in BME3240 will be required to submit a final project no later than the date prescribed in this document. The deliverables in this project will require submitters to demonstrate that they have developed the capability to utilize MATLAB effectively in conjunction with other analytical concepts to solve complex engineering problems commonly found in literature. It is imperative that students can follow a document such as this to ensure all listed project requirements are met in full. Scope of Work The scope of the final project will require that students review available literature references to an engineering topic of their choice. Though several supporting articles shall be included to provide a thorough background review of the selected topic, at least one of the cited references must include a system model using a system of ordinary differential equations (ODEs). This model must then be solved using techniques in MATLAB to provide the required deliverables outlined in later sections of this document. Period of Performance The period of performance for the final project will be 18 days starting on November 22nd, 2019 and ending on December 10th, 2019 at precisely 5:30pm. Due to the nature of the project, no modifications or extensions will be granted. Place of Performance Students will be responsible for completing this project at the facilities of their choosing. Submission of deliverables will take place via Canvas online submission. 4 Work Requirements In the requirements listed below, those including the ‘shall’ language are to be considered absolutely necessary and those including the ‘should’ language are to be done if possible, but not required. Failure to meet mandatory requirements will result in appropriately proportioned score deductions. 1. Each student shall work independently. 2. Students shall perform a thorough literature review involving the topic of his/her choice. 2.1. Students shall identify, at minimum, 1 unique peer-reviewed publication that describes a system of ODEs pertaining to his/her respective topic. 2.1.1. The included peer-reviewed publication describing a system of ODEs should include at least one plot/figure replicable by the student. 2.2. Students shall compile sufficient peer-reviewed literature sources to author a thorough review of the topic and associated models. 2.2.1. Students shall include a review of the significance of the ability to model the given system using ODEs. 2.2.2. Students shall include clear and complete definitions of each parameter used in the selected system of ODEs. 2.2.3. Students shall describe how modeling the selected system can be applied to solve real-world problems. 3. Students shall develop a MATLAB program that can integrate the given system of ODEs as shown in class. 3.1. Students shall evaluate a minimum of 3 solution techniques in MATLAB 3.1.1. Students shall select the most optimal solution technique of those evaluated. 3.1.2. Students shall provide a description of the stiffness of the system of ODEs under the selected evaluation parameters. 3.1.2.1. The optimal solution shall be selected based on time to compute. 3.1.2.1.1. Time to compute shall be provided for each solution method in microseconds. 5 3.1.2.1.2. Time to compute shall refer only to the time required for the solution method to complete, and not any other code operations. 4. Students shall perform a series of simulation trials to observe the effects of each parametric value and applicable ODE conditions (boundary values, initial conditions, etc.). 4.1. Students shall run a minimum of 6 trials using the selected optimal solution method. 4.1.1. A description of parametric changes made shall be included with each trial. 4.2. Students shall determine the stability of the system of ODEs. 4.2.1. Students shall determine the time (in any appropriate time scale) required for the system to reach its steady state, if applicable. 4.3. Each trial performed shall be represented graphically. 4.3.1. The solution for each trial shall be provided in one figure window per trial (implement subplots, multi-series, axis selection, etc) regardless of the number of states present in the system. 4.3.1.1. Within each figure, each plotted series shall be optically unique (implement different ‘LineSpec’ for each plotted series). 4.3.1.1.1. Each series shall have a ‘LineWidth’ specification greater than 1.0. 4.3.1.2. Each figure shall include a legend. 4.3.1.3. Each figure shall include an appropriate title 4.3.1.4. Each figure shall include all applicable labels and units. 4.3.1.5. All figure text shall be a minimum size 16, non-default font. (excluding legend entries) 4.3.1.6. All figures shall display a major and minor grid. 4.3.1.7. All figures shall have a solid white background. 4.3.1.8. All figures shall have identical axes scales. 5. Students shall create a formatted document with independent sections for major requirements 2, 3, and 4. 5.1. Students shall include all scripts used as Appendix A at the end of the report. 6 6. Students shall submit via Canvas all *.m files used to generate report data, the peer-reviewed article(s) from which ODEs were taken, and the final report in a single .ZIP folder. 6.1. All *.m files shall include descriptive comments of each major step. CODE FILES SUBMITTED AS ANYTHING OTHER THAN *.M FORMAT WILL RESULT IN AN AUTOMATIC ZERO FOR THE PROJECT SCORE. NO EXCEPTIONS. Deliverables • A single .ZIP folder containing the following: o Scripts used to generate report data o Digital copies of peer-reviewed articles from which the system of ODEs was taken o A digital copy of the final report satisfying all outlined requirements in this document.
