Flashcards
B5.5
Cards in this deck (17)
- 1State Fick's Law of Diffusion
- 2Describe how to determine whether necrosis occurs in the 1D tumour model and describe how to find the time at which it starts occurring if it does
- 3State the convergence of the travelling wave U(z) for the Fisher-KPP equation as z→±∞
- 4State a condition for A𝐱=𝟎 to have non-trivial solutions
- 5Define a diffusion-driven instability and state another name for it
- 6Derive the dispersion relation for the system: u_t=(D_u)u_xx+f(u,v) v_t=(D_v)v_xx+g(u,v) with steady state (u_s,v_s) in the absence of diffusion
- 7Assuming you know the dispersion relation for the system: u_t=(D_u)u_xx+f(u,v) v_t=(D_v)v_xx+g(u,v) State the steps to determine if a diffusion driven instability can occur
- 8What is required for spatial patterning to form
- 9State the law of mass action
- 10State the principle of mass balance
- 11State a situation in which it is clear how you could possibly nondimensionalise certain variables in a system
- 12State the steps to search for a travelling wave solution for a reaction-diffusion equation of u(x,t) and how to find the minimum wave speed
- 13State the quotient rule
- 14What are the units of a diffusion constant D
- 15State the Fisher-KPP equation and describe its solution
- 16State 2 quick-to-spot necessary conditions for the system: u_t=D_u∇^2u+f(u,v) v_t=D_v∇^2v+g(u,v) to have a Turing instability
- 17State a generic chemotaxis system for population density of cells n and chemical concentration c. Also state the total flux of n
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- uni Part B Flashcards on B5.5, created by Ben Tidswell on 10/04/2023.
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- Ben Tidswell
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