8. The NACHR ion channel can be in one of three states: resting (R), closed with Ach bound (C), andopen (0) with transition probabilities (per one microsecond): 0.04 (from R to C), 0.07 (from C to R),0.12 (from C to O) and 0.02 (from O to C); the other transition probabilities are 0. Suppose thatinitially 3/4 of ion channels are in R and 1/4 are in C. What fraction of the ion channels is openafter 1 microsecond? After 2 microseconds?9. There are three kinds of vegetation in an ecosystem: grass, shrubs, and trees. Every year, 25% ofgrassland plots are converted to shrubs, 20% of shrub plots are converted to trees, 8% of trees areconverted to shrubs, and 1% of trees are converted to grass; the other transition probabilities are0. Suppose that initially the ecosystem is evenly split: 1/3 grass, 1/3 shrubs and 1/3 trees. Whatfraction of ecosystem is covered in shrubs after 1 year? after 2 years?

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The NACHR ion channel can be in one of three states: resting (R), closed with Ach bound (C), and open (0) with transition probabilities (per one microsecond): 0.04 (from R to C), 0.07 (from C to R), 0.12 (from C to O) and 0.02 (from O to C); the other transition probabilities are 0. Suppose that initially 3/4 of ion channels are in R and 1/4 are in C. What fraction of the ion channels is open after 1 microsecond? After 2 microseconds?

The NACHR ion channel can be in one of three states: resting (R), closed with Ach bound (C), and open (0) with transition probabilities (per one microsecond): 0.04 (from R to C), 0.07 (from C to R), 0.12 (from C to O) and 0.02 (from O to C); the other transition probabilities are 0. Suppose that initially 3/4 of ion channels are in R and 1/4 are in C. What fraction of the ion channels is open after 1 microsecond? After 2 microseconds?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

8. The NACHR ion channel can be in one of three states: resting (R), closed with Ach bound (C), and
open (0) with transition probabilities (per one microsecond): 0.04 (from R to C), 0.07 (from C to R),
0.12 (from C to O) and 0.02 (from O to C); the other transition probabilities are 0. Suppose that
initially 3/4 of ion channels are in R and 1/4 are in C. What fraction of the ion channels is open
after 1 microsecond? After 2 microseconds?
9. There are three kinds of vegetation in an ecosystem: grass, shrubs, and trees. Every year, 25% of
grassland plots are converted to shrubs, 20% of shrub plots are converted to trees, 8% of trees are
converted to shrubs, and 1% of trees are converted to grass; the other transition probabilities are
0. Suppose that initially the ecosystem is evenly split: 1/3 grass, 1/3 shrubs and 1/3 trees. What
fraction of ecosystem is covered in shrubs after 1 year? after 2 years?

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