A mathematical study of the transport of auxin
Copyright policy )A mathematical study of the transport of auxin
AbstractStarting with the one-dimensional equation of diffusion (Fick's equation) and the law governing transport across a membrane, the concentrations of auxin in the walls of n cells forming a linear array are expressed as infinite series in the time t for several stipulations of the concentration of auxin at the two ends of the array. Surprisingly the structure of these series depends on whether n is prime or composite. Complex variable theory, the Laplace transform and Tschebycheff polynomials all find a place in the study.
- University of Maryland, College Park United States
- University of Maryland, College Park United States
disc of cytoplasm, one-dimensional diffusion, auxin transport process, concentration of auxine, Control/observation systems governed by partial differential equations, vacuole, Laplace transform, Other natural sciences (mathematical treatment), Physiological, cellular and medical topics, Tschebycheff polynomials, walls, difference equation, Physiological flows, compartment model, Best approximation, Chebyshev systems, Fick equation, linear array of cells, lipoproteine membranes, Laplace concentrations, Engineering(all)
disc of cytoplasm, one-dimensional diffusion, auxin transport process, concentration of auxine, Control/observation systems governed by partial differential equations, vacuole, Laplace transform, Other natural sciences (mathematical treatment), Physiological, cellular and medical topics, Tschebycheff polynomials, walls, difference equation, Physiological flows, compartment model, Best approximation, Chebyshev systems, Fick equation, linear array of cells, lipoproteine membranes, Laplace concentrations, Engineering(all)
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