×
Log in to StudySoup
Get Full Access to Control Systems Engineering - 7 Edition - Chapter 2 - Problem 62
Join StudySoup for FREE
Get Full Access to Control Systems Engineering - 7 Edition - Chapter 2 - Problem 62

Already have an account? Login here
×
Reset your password

The Gompertz growth model is commonly used to model tumor

Control Systems Engineering | 7th Edition | ISBN: 9781118170519 | Authors: Norman J. Nise ISBN: 9781118170519 162

Solution for problem 62 Chapter 2

Control Systems Engineering | 7th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Control Systems Engineering | 7th Edition | ISBN: 9781118170519 | Authors: Norman J. Nise

Control Systems Engineering | 7th Edition

4 5 1 291 Reviews
17
1
Problem 62

The Gompertz growth model is commonly used to model tumor cell growth. Let v(t) be the tumors volume, then dvt dt et vt where and are two appropriate constants (EdelsteinKeshet, 2005). a. Verify that the solution to this equation is given by vt v0e =1et , where v0 is the initial tumor volume. b. This model takes into account the fact that when nutrients and oxygen are scarce at the tumors core, its growth is impaired. Find the final predicted tumor volume (let t ). c. For a specific mouse tumor, it was experimentally found that 2:5 days; 0:1 days with v0 50 103 mm3 (Chignola, 2005). Use any method available to make a plot of v(t) vs. t. d. Check the result obtained in Part b with the results from the graph found in Part c.

Step-by-Step Solution:
Step 1 of 3

CS 064 Notes 02/09/16  Tauntology- something that’s always true  Ex. x ∨¬ x, by theorem 7.2  (x ∨¬ x ) ∧(y  y) =T ∧( y  y) ; by Theorem 7.2 (x ∨¬ x) =T ∧(¬ y ∨ y) ; by proposition 7.3 (x  y¬= x ∨ y) = T ∧( y ∨¬ y) ; by commutative property of ∨ =T∧T ; by Theorem 7.2 (x ∨ ¬ x) = T ; definition of ∧  Theorem 8.6: The number of lists of length k, where elements are chosen krom a pool of n possible elements: o n if repetitions are allowed o n (k)f repetitions are not allowed, where(k)=(n-1)*(n-2)*(n-3)*(n- 4)…*(n-(k-1))  ex. arranging tiles A, B, C, D, E, F, G 7*6*5*4*3*2*1 0 1 2 3 4

Step 2 of 3

Chapter 2, Problem 62 is Solved
Step 3 of 3

Textbook: Control Systems Engineering
Edition: 7
Author: Norman J. Nise
ISBN: 9781118170519

Control Systems Engineering was written by and is associated to the ISBN: 9781118170519. The answer to “The Gompertz growth model is commonly used to model tumor cell growth. Let v(t) be the tumors volume, then dvt dt et vt where and are two appropriate constants (EdelsteinKeshet, 2005). a. Verify that the solution to this equation is given by vt v0e =1et , where v0 is the initial tumor volume. b. This model takes into account the fact that when nutrients and oxygen are scarce at the tumors core, its growth is impaired. Find the final predicted tumor volume (let t ). c. For a specific mouse tumor, it was experimentally found that 2:5 days; 0:1 days with v0 50 103 mm3 (Chignola, 2005). Use any method available to make a plot of v(t) vs. t. d. Check the result obtained in Part b with the results from the graph found in Part c.” is broken down into a number of easy to follow steps, and 137 words. This textbook survival guide was created for the textbook: Control Systems Engineering, edition: 7. The full step-by-step solution to problem: 62 from chapter: 2 was answered by , our top Engineering and Tech solution expert on 11/23/17, 05:05AM. Since the solution to 62 from 2 chapter was answered, more than 358 students have viewed the full step-by-step answer. This full solution covers the following key subjects: tumor, growth, Volume, model, Where. This expansive textbook survival guide covers 13 chapters, and 734 solutions.

Other solutions

People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

The Gompertz growth model is commonly used to model tumor