Sign-In
Cart
Virus Host Cell Genetic Material Transport: Computational Ode/Pde Modeling with R
Hardcover
ISBN13: 9783030688646
Publisher: Springer
Published: Dec 2 2021
Pages: 170
Weight: 0.95
Height: 0.44 Width: 6.14 Depth: 9.21
Language: English
The reproduction and spread of a virus during an epidemic proceeds when the virus attaches to a host cell and viral genetic material (VGM) (protein, DNA, RNA) enters the cell, then replicates, and perhaps mutates, in the cell. The movement of the VGM across the host cell outer membrane and within the host cell is a spatiotemporal dynamic process that is modeled in this book as a system of ordinary and partial differential equations (ODE/PDEs).
The movement of the virus proteins through the cell membrane is modeled as a diffusion process expressed by the diffusion PDE (Fick's second law). Within the cell, the time variation of the VGM is modeled as ODEs. The evolution of the dependent variables is computed by the numerical integration of the ODE/PDEs starting from zero initial conditions (ICs). The departure of the dependent variables from zero is in response to the virus protein concentration at the outer membrane surface (the point at which the virus binds to the host cell).
The numerical integration of the ODE/PDEs is performed with routines coded (programmed) in R, a quality, open-source scientific computing system that is readily available from the Internet. Formal mathematics is minimized, e.g., no theorems and proofs. Rather, the presentation is through detailed examples that the reader/researcher/analyst can execute on modest computers. The ODE/PDE dependent variables are displayed graphically with basic R plotting utilities.
The R routines are available from a download link so that the example models can be executed without having to first study numerical methods and computer coding. The routines can then be applied to variations and extensions of the ODE/PDE model, such as changes in the parameters and the form of the model equations.
Also in
Chemistry
Everything Is Tuberculosis: The History and Persistence of Our Deadliest Infection
Green, John
Hardcover
The Iceman Inheritance: Prehistoric Sources of Western Man's Racism, Sexism and Aggression
Bradley, Michael
Paperback
The Age of Alchemy: The Secret History of Chemistry from Ancient Magic to Modern Science
Chapman, Kit
Hardcover
5 Steps to a 5: AP Chemistry 2027: Practice AP Tests + AP Content Review + Digital Exams
Moore, John T.
Paperback
Princeton Review AP Chemistry Premium Prep, 28th Edition: 7 Practice Tests + Digital Practice Online + Content Review
The Princeton Review
Paperback
AP Chemistry Premium, 2027: Prep Book with 6 Practice Tests + Comprehensive Review + Online Practice
Jespersen, Neil D., PH. D.
Kerrigan, Pamela, PH. D.
Paperback
Liquid Rules: The Delightful and Dangerous Substances That Flow Through Our Lives
Miodownik, Mark
Paperback
BioGeometry Signatures: Harmonizing the Body's Subtle Energy Exchange with the Environment
Karim Dr Sc, Ibrahim
Paperback
Herbal Pharmacy: The Science and Magic of Preparing and Administering Plant Medicine
Bancroft, Betzy
Paperback
Stuff Matters: Exploring the Marvelous Materials That Shape Our Man-Made World
Miodownik, Mark
Paperback
The Flavor Matrix: The Art and Science of Pairing Common Ingredients to Create Extraordinary Dishes
Parkhurst, Brooke
Briscione, James
Hardcover
Liquid Soapmaking: Tips, Techniques and Recipes for Creating All Manner of Liquid and Soft Soap Naturally!
Thompson, Jackie
Paperback
Periodic Tales: A Cultural History of the Elements, from Arsenic to Zinc
Aldersey-Williams, Hugh
Paperback
The Color of North: The Molecular Language of Proteins and the Future of Life
Fink, Maggie M.
Rizk, Shahir S.
Hardcover
The One Thing You Need to Know: The Simple Way to Understand the Most Important Ideas in Science
Chown, Marcus
Paperback
Sciencia: Mathematics, Physics, Chemistry, Biology, and Astronomy for All
Tweed, Matt
Watkins, Matthew
Betts, Moff
Hardcover
Science and Cooking: Physics Meets Food, from Homemade to Haute Cuisine
Weitz, David
Brenner, Michael
Sörensen, Pia
Hardcover
Reactions: An Illustrated Exploration of Elements, Molecules, and Change in the Universe
Gray, Theodore
Paperback
The Telomere Effect: A Revolutionary Approach to Living Younger, Healthier, Longer
Blackburn, Elizabeth
Epel, Elissa
Paperback
Schaum's Outline of College Chemistry: 1,340 Solved Problems + 23 Videos
Krieger, Peter
Epstein, Lawrence M.
Rosenberg, Jerome
Paperback
Elements: A Visual Exploration of Every Known Atom in the Universe, Book 1 of 3
Gray, Theodore
Hardcover
Physics and Chemistry Comic Book: Science Book for Kids Age 8-12 Comic Adventures & Fun Experiments
Bollino, Giulia
Paperback
Dopamina: Cómo Una Molécula Condiciona de Quién Nos Enamoramos, Con Quién Nos Acostamos, a Quién Votamos Y ... / The Molecule of More
Lieberman, Daniel Z.
Paperback
Reactions: An Illustrated Exploration of Elements, Molecules, and Change in the Universe, Book 3 of 3
Gray, Theodore
Hardcover
Modern Quantum Chemistry: Introduction to Advanced Electronic Structure Theory
Ostlund, Neil S.
Szabo, Attila
Paperback
Exploring the World of Chemistry: From Ancient Metals to High-Speed Computers
Tiner, John Hudson
Paperback
An Introduction to Error Analysis, Third Edition: The Study of Uncertainties in Physical Measurements
Taylor, John R.
Paperback
Illustrated Guide to Home Chemistry Experiments: All Lab, No Lecture
Thompson, Robert Bruce
Paperback
Practice Makes Perfect Chemistry Review and Workbook, Second Edition
Hattori, Heather
DeWane, Marian
Paperback
The Elements: An Illustrated History of the Periodic Table (100 Ponderables) Revised and Updated
Jackson, Tom
Hardcover
Dopamina: Cómo Una Molécula Condiciona de Quién Nos Enamoramos, Con Quién Nos Acostamos, a Quién Votamos Y ... / The Molecule of More
Lieberman, Daniel Z.
Long, Michael E.
Paperback
Rocket Girl: The Story of Mary Sherman Morgan, America's First Female Rocket Scientist
Morgan, George D.
Paperback
Schaum's Outline of Organic Chemistry, Sixth Edition
Sharefkin, Jacob
Meislich, Herbert
Nechamkin, Howard
Paperback
Revise IB: Biology Exam Practice Workbook - Higher Level (Second Edition)
Jaradat, Nadia
Bragg, Sarah
Paperback
Lippincott(r) Illustrated Reviews: Biochemistry
Cline, Susan D.
Franklin, David S.
Abali, Emine Ercikan
Paperback
The Science of Cleaning: Use the Power of Chemistry to Clean Smarter, Easier, and Safer-With Solutions for Every Kind of Dirt
Bressanini, Dario
Paperback
Raising Elijah: Protecting Our Children in an Age of Environmental Crisis
Steingraber, Sandra
Paperback
Schaum's Outline of General, Organic, and Biochemistry for Nursing and Allied Health
Blei, Ira
Odian, George
Paperback
Dmt Extraction Guide: A Step-by-Step Guide to Safely Extracting DMT from Natural Sources at Home
J. Pare, Adell
Paperback
Chemistry: Concepts and Problems, a Self-Teaching Guide
Post, Richard
Snyder, Chad
Houk, Clifford C.
Paperback
La Solución de Los Telómeros: Aprende a Vivir Sano Y Feliz / The Telomere Effect
Epel, Elissa
Blackburn, Elizabeth
Paperback
Balancing Chemical Equations Worksheets (Over 200 Reactions to Balance): Chemistry Essentials Practice Workbook with Answers
McMullen, Chris
Paperback
Michael Faraday's The Chemical History of a Candle: With Guides to Lectures, Teaching Guides & Student Activities
DeCoste, Donald J.
Hammack, William S.
Paperback
The Mystery of Life's Origin: The Continuing Controversy
Bradley, Walter L.
Olsen, Roger L.
Thaxton, Charles B.
Paperback
Nature's Amazing Chemistry: Reflections on Its Complexity and Diversity
Freemantle, Michael
Hardcover
The Shape of Data in Chemistry: An Introduction to Chemical Graph Theory and Topological Data Analysis
Clark, Aurora
Hardcover
Chemistry All-In-One for Dummies (+ Chapter Quizzes Online)
Mikulecky, Peter J.
Hren, Christopher R.
Moore, John T.
Paperback
The Science of Cooking: Understanding the Biology and Chemistry Behind Food and Cooking
Colabroy, Keri L.
Kelly, Brenda S.
Provost, Joseph J.
Paperback
The Rheology Handbook: For users of rotational and oscillatory rheometers
Mezger, Thomas G.
Hardcover
A Rainbow Palate: How Chemical Dyes Changed the West's Relationship with Food
Cobbold, Carolyn
Paperback
Luminous Phenomena: A Story of Spontaneous Combustion, Phosphorescence and Other Cold Lights
Pentecost, Allan
Hardcover