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Details for:
Cogan N. Mathematical Modeling...in Python and MATLAB 2022
cogan n mathematical modeling python matlab 2022
Type:
E-books
Files:
1
Size:
16.0 MB
Uploaded On:
Aug. 26, 2022, 10:37 a.m.
Added By:
andryold1
Seeders:
2
Leechers:
0
Info Hash:
473FB88831E68F1D93C9D5B97F7E066B8D0E0C52
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Textbook in PDF format The purpose of this unique textbook is to bridge the gap between the need for numerical solutions to modeling techniques through computer simulations to develop skill in employing sensitivity analysis to biological and life sciences applications. The underpinning mathematics is minimalized. The focus is on the consequences, implementation, and application. Historical context motivates the models. An understanding of the earliest models provides insight into more complicated ones. While the text avoids getting mired in the details of numerical analysis, it demonstrates how to use numerical methods and provides core codes that can be readily altered to fit a variety of situations. Numerical scripts in both Python and MATLAB are included. Python is compiled in Jupyter Notebook to aid classroom use. Additionally, codes are organized and available online. One of the most important skills requiring the use of computer simulations is sensitivity analysis. Sensitivity analysis is increasingly used in biomathematics. There are numerous pitfalls to using sensitivity analysis and therefore a need for exposure to worked examples in order to successfully transfer their use from mathematicians to biologists. The interconnections between mathematics and the life sciences have an extensive history. This book offers a new approach to using mathematics to model applications using computers, to employ numerical methods, and takes students a step further into the realm of sensitivity analysis. With some guidance and practice, the reader will have a new and incredibly powerful tool to use. Forward Introduction What is a Model? Projectile Motion Problems Mathematical Background Mathematical Preliminaries Linearization Qualitative Analysis Problems Appendix: Planar Example Introduction to the Numerical Methods Introduction Best Practices in Coding Getting the Programs Running Initial Programs Problems Ecology Historical Background Single Species Models Competitive Exclusion State of the Art and Caveats Problems Within-host Disease Models Historical Background Pathological: Tumor Viral: Acute Infection Chronic: Tuberculosis Problems Appendix Between-Host Disease Models Historical Background Two Compartment Models Classical SIR Waning Antigens Caveats and State of the Art Problems Microbiology Historical Background Bacterial Growth: Chemostat Multiple State Model: Free/Attached Cooperators, Cheaters, and Competitions Problems Circulation and Cardiac Physiology Historical Background Blood Circulation Models Cardiac Physiology Problems Neuroscience Historical Background Action Potential Fitzhugh-Nagumo Problems Genetics Historical Background Heredity Problems
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Cogan N. Mathematical Modeling...in Python and MATLAB 2022.pdf
16.0 MB
