dt The Gompertz growth model is commonly used to model tumor cell growth. Let v(t) be the tumor's volume, then du(t) = A e-atv(t) where A and a are two appropriate constants. (a) Verify that the solution is given by v(t) = voe/a(1-e-at), where vo is the initial tumor volume. (b) This model takes into account the fact that when nutrients and oxygen are scarce at the tumor's core, its growth is impaired. Find the final predicted tumor volume (let too). (c) For a specific mouse tumor, it was experimentally found that λ = 2.5 days, a = 0.1 days with vo = 50 x 10³ mm³. 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 from pat c.

dt The Gompertz growth model is commonly used to model tumor cell growth. Let v(t) be the tumor's volume, then du(t) = A e-atv(t) where A and a are two appropriate constants. (a) Verify that the solution is given by v(t) = voe/a(1-e-at), where vo is the initial tumor volume. (b) This model takes into account the fact that when nutrients and oxygen are scarce at the tumor's core, its growth is impaired. Find the final predicted tumor volume (let too). (c) For a specific mouse tumor, it was experimentally found that λ = 2.5 days, a = 0.1 days with vo = 50 x 10³ mm³. 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 from pat c.

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Question

dt
The Gompertz growth model is commonly used to model tumor cell growth. Let v(t) be the
tumor's volume, then du(t) = A e-atv(t) where λ and a are two appropriate constants. (a) Verify
that the solution is given by v(t) = voe/a(1-e-at), where vo is the initial tumor volume. (b) This
model takes into account the fact that when nutrients and oxygen are scarce at the tumor's core,
its growth is impaired. Find the final predicted tumor volume (let too). (c) For a specific mouse
tumor, it was experimentally found that λ = 2.5 days, a = 0.1 days with vo = 50 x 10³ mm³. 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 from pat c.

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