Essential Cell Biology 5e
Essential Cell Biology 5e
5th Edition
ISBN: 9780393691108
Author: Bruce Alberts, Karen Hopkin, Alexander D Johnson, David Morgan, Martin Raff, Keith Roberts, Peter Wa
Publisher: W. W. Norton
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Chapter 17, Problem 12Q
Summary Introduction

To calculate: The average time required for a small particle, a protein, and a membrane vesicle to diffuse from one side to another side.

Introduction: Cell is the basic unit of the life. It consists of many molecules to carry out biological processes. The molecules across the cell can move or diffuse. Different molecules take different time to travel from one place to another side of the cell.

Expert Solution
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Explanation of Solution

Calculation:

Given,

Approximatetime(t)iscaclutedas follows:t=x2/2D.............. (1)Wheret=Timetakenx=DistanceD=Diffusioncoefficient

Diffusioncoefficient for smallmolecule=5×10-6cm2/secDiffusioncoefficient for a protein=5×10-7cm2/sec

Diffusioncoefficient for a vesicle= 5×10-8cm2/secDistance(x)=10μm=10-3cm

Average time for a small protein molecule can be calculated by substituting the value of diffusion coefficient (D) for small molecule and x in equation (1),

t=(10-3)2/(2×5×10-6)=0.1seconds

Average time for a small protein molecule can be calculated by substituting the value of diffusion coefficient (D) for a protein and x in equation (1),

t=(10-3)2/(2×5×10-7)=1second

Similarly, the time required for a membrane vesicle is

t=(10-3)2/(2×5×10-8)=10seconds

Conclusion

The time required for a small particle, a protein, and a membrane vesicle to travel 10µm is 0.1 second, 1 second, and 10 seconds, respectively.

Summary Introduction

To calculate: The time required for a membrane vesicle to travel 10 cm long axon.

Introduction: Cell is the basic unit of the life. It consists of many molecules to carry out biological processes. The molecules across the cell can move or diffuse. Different molecules take different time to travel from one place to another side of the cell.

Expert Solution
Check Mark

Explanation of Solution

Given,Distance(x)=10cm

Substituting the value of x and diffusion coefficient (D) of a membrane coefficient in equation (1), time (t) is

t=(10)2/(2×5×10-8)=109seconds

Conclusion

The time required for a membrane vesicle to travel 10 cm is 109 seconds.

Summary Introduction

To calculate: The time required for a membrane vesicle when it travels along microtubule at 1μm/sec .

Introduction: Cell is the basic unit of the life. It consists of many molecules to carry out biological processes. The molecules across the cell can move or diffuse. Different molecules take different time to travel from one place to another side of the cell.

Expert Solution
Check Mark

Explanation of Solution

Calculation:

Given,

Speedofmicrotublealongmicrotubleis=1μm/sec                                                              =10-3cm/sec

Time required to travel a 10 cm long axon for a membrane vesicle along with microtubule is

=110-3×10=0.0001sec

Conclusion

The time required for a membrane vesicle along with microtubule to travel 10 cm is 0.0001 seconds.

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