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The lifetime of a microtubule in a mammalian cell, between its formation by polymerization and its spontaneous disappearance by depolymerization, varies with the stage of the cell cycle. For an actively proliferating cell, the average lifetime is 5 minutes in interphase and 15 seconds in mitosis. If the average length of a microtubule in interphase is \(20 \mu \mathrm{m},\) how long will it be during mitosis, assuming that the rates of microtubule elongation due to the addition of tubulin subunits in the two phases are the same?

Short Answer

Expert verified
The average length of a microtubule during mitosis is \(1\ \mu\mathrm{m}\).

Step by step solution

01

Determine the Rate of Elongation

First, find the rate of elongation of the microtubule in interphase. The average lifetime is 5 minutes and the average length is \(20\ \mu\text{m}\). To find the elongation rate, use the formula \( \text{Rate of Elongation (Interphase)} = \frac{\text{Length (Interphase)}}{\text{Lifetime (Interphase)}}\). Thus, \( \frac{20\ \mu\mathrm{m}}{5\ \text{minutes}} = \frac{20\ \mu\mathrm{m}}{300\ \text{seconds}} = \frac{1}{15}\ \mu\mathrm{m/s}\).
02

Apply the Rate to Mitosis

Assume that the elongation rate is the same for mitosis due to the problem's conditions. The microtubule's lifetime in mitosis is \(15\) seconds. Use the elongation rate found in Step 1 and apply it to mitosis:\[ \text{Length (Mitosis)} = \text{Rate of Elongation} \times \text{Lifetime (Mitosis)} = \frac{1}{15}\ \mu\mathrm{m/s} \times 15\ \text{seconds} = 1\ \mu\mathrm{m}.\]
03

Conclusion - Length During Mitosis

Based on the calculations, during mitosis, the average length of a microtubule is \(1\ \mu\mathrm{m}\).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Cell Cycle
The cell cycle is a series of stages that a cell goes through to divide and replicate. It is primarily composed of interphase and the mitotic phase. Interphase is a period of growth and preparation for cell division, whereas the mitotic phase involves the actual process of cellular division.

During interphase, cells are not dividing but are busy with processes like growing and replicating their DNA. This phase can be further divided into G1 (growth), S (DNA synthesis), and G2 (growth and preparation for mitosis) phases. On the other hand, mitosis encompasses the division of the cell's nucleus followed by cytokinesis, which is the division of the cell's cytoplasm.
  • Interphase: longer period characterized by growth and preparation
  • Mitosis: shorter period involving the actual division of the cell
Understanding the cell cycle is essential since it helps explain how cells grow, replicate, and how their components, like microtubules, behave differently at each stage.
Polymerization
Polymerization is the process by which monomers, or single building blocks, join together to form a polymer. In cells, microtubules are polymers made of tubulin subunits. This process is vital for various cellular functions, especially during the cell cycle.

In the context of microtubules, polymerization involves the addition of tubulin subunits at the microtubule's plus end, allowing it to grow and extend. This growth is crucial for cell division as microtubules form structures called spindle fibers, which help separate chromosomes.
  • Occurs predominantly at the microtubule's plus end
  • Essential for spindle fiber formation during mitosis
The study of polymerization not only highlights how microtubules dynamically assemble but also underscores their role in supporting cellular architecture.
Depolymerization
Depolymerization is the opposite of polymerization; it involves the removal or detachment of monomers from a polymer. In microtubules, this process often occurs at the minus end and leads to the shortening of the microtubule.

Depolymerization is a key aspect of microtubule dynamics as it modulates the length and stability of microtubules. This is especially evident during mitosis, where rapid depolymerization is necessary for the effective separation of chromosomes.
  • Responsible for microtubule shortening
  • Critical for chromosome segregation during mitosis
Understanding depolymerization provides insight into how the cell regulates microtubule length and ensures proper cell division.
Microtubule Elongation
Microtubule elongation refers to the process by which microtubules increase in length. This occurs through polymerization, as tubulin subunits are added to the growing ends of the microtubule. Elongation is crucial during different phases of the cell cycle.

In interphase, microtubules maintain cellular integrity and facilitate the transport of organelles. The length of microtubules is typically longer during this phase compared to mitosis. However, during mitosis, rapid changes in microtubule length, through both elongation and depolymerization, help form the mitotic spindle necessary for chromosome movement.
  • Involves the addition of tubulin subunits
  • Essential for forming structures needed for cell division
Overall, microtubule elongation is a dynamic process that provides structural support and facilitates critical cellular functions, particularly during cell division.

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Most popular questions from this chapter

Which of the following statements are correct? Explain your answers. A. Cells do not pass from \(\mathrm{G}_{1}\) into \(\mathrm{M}\) phase of the cell cycle unless there are sufficient nutrients to complete an entire cell cycle. B. Apoptosis is mediated by special intracellular proteases, one of which cleaves nuclear lamins. C. Developing neurons compete for limited amounts of survival factors. D. Some vertebrate cell-cycle control proteins function when expressed in yeast cells. E. The enzymatic activity of a Cdk protein is determined both by the presence of a bound cyclin and by the phosphorylation state of the Cdk.

One of the functions of M-Cdk is to cause a precipitous drop in \(\mathrm{M}\) cyclin concentration halfway through \(\mathrm{M}\) phase. Describe the consequences of this sudden decrease and suggest possible mechanisms by which it might occur.

What might be the consequences if a cell replicated damaged DNA before repairing it?

Which of the following statements are correct? Explain your answers. A. Centrosomes are replicated before \(\mathrm{M}\) phase begins. B. Two sister chromatids arise by replication of the DNA of the same chromosome and remain paired as they line up on the metaphase plate. C. Interpolar microtubules attach end-to-end and are therefore continuous from one spindle pole to the other. D. Microtubule polymerization and depolymerization and microtubule motor proteins are all required for DNA replication. E. Microtubules nucleate at the centromeres and then connect to the kinetochores, which are structures at the centrosome regions of chromosomes.

If fine glass needles are used to manipulate a chromosome inside a living cell during early M phase, it is possible to trick the kinetochores on the two sister chromatids into attaching to the same spindle pole. This arrangement is normally unstable, but the attachments can be stabilized if the needle is used to gently pull the chromosome so that the microtubules attached to both kinetochores (via the same spindle pole) are under tension. What does this suggest to you about the mechanism by which kinetochores normally become attached and stay attached to microtubules from opposite spindle poles? Is the finding consistent with the possibility that a kinetochore is programmed to attach to microtubules from a particular spindle pole? Explain your answers.

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