A simple biochemical reaction with three molecules has solutions that oscillate toward a steady state when positive constants a and b are below the curve b-a (b+a). Find the largest possible value of a for which the reaction has da =D 0. Derive db solutions that oscillate toward a steady state. (Hint: Find where values for a + b and a - b, and then solve the equations in two unknowns.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
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A simple biochemical reaction with three molecules has solutions that oscillate
toward a steady state when positive constants a and b are below the curve
b-a (b+a). Find the largest possible value of a for which the reaction has
da
solutions that oscillate toward a steady state. (Hint Find where
30. Derive
db
values for a +b and a - b, and then solve the equations in two unknowns.)
da
Evaluate the derivative
db
da
db
Transcribed Image Text:A simple biochemical reaction with three molecules has solutions that oscillate toward a steady state when positive constants a and b are below the curve b-a (b+a). Find the largest possible value of a for which the reaction has da solutions that oscillate toward a steady state. (Hint Find where 30. Derive db values for a +b and a - b, and then solve the equations in two unknowns.) da Evaluate the derivative db da db
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