Warfarin is a medication that is used long-term to prevent stroke in patients with artificial heart values. The amount of medication in a patients body at time t can be modelled by the discrete-time dynamical system M1+1 = 0.75M +D where t is measured in days and D > O is the daily prescribed dose of medication. (a) Find the equilibrium point of the system in terms of the parameter D. Show your work, including your final answer on Crowdmark. (b) True or False: the stability of this equilibrium point depends on the value of D. Select an answer below and justify your selection with a full sentence on Crowdmark. (c) True or False: If D = 2 and Mo = 12, then the amount of medication in the patient's body is decreasing as a function of time.
Warfarin is a medication that is used long-term to prevent stroke in patients with artificial heart values. The amount of medication in a patients body at time t can be modelled by the discrete-time dynamical system M1+1 = 0.75M +D where t is measured in days and D > O is the daily prescribed dose of medication. (a) Find the equilibrium point of the system in terms of the parameter D. Show your work, including your final answer on Crowdmark. (b) True or False: the stability of this equilibrium point depends on the value of D. Select an answer below and justify your selection with a full sentence on Crowdmark. (c) True or False: If D = 2 and Mo = 12, then the amount of medication in the patient's body is decreasing as a function of time.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 65EQ
Related questions
Topic Video
Question
Please solve this problem, part b and c is true or false.
Transcribed Image Text:Warfarin is a medication that is used long-term to prevent stroke in patients with artificial heart values. The
amount of medication in a patients body at time t can be modelled by the discrete-time dynamical system
M+1 = 0.75M; + D
where t is measured in days and D > 0 is the daily prescribed dose of medication.
(a) Find the equilibrium point of the system in terms of the parameter D.
Show your work, including your final answer on Crowdmark.
(b) True or False: the stability of this equilibrium point depends on the value of D. Select an answer below and
justify your selection with a full sentence on Crowdmark.
(c) True or False: If D = 2 and Mo = 12, then the amount of medication in the patient's body is decreasing as a
function of time.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Recommended textbooks for you
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning