Dynamics and length distributions of microtubules with a multistep catastrophe mechanism
Regarding the experimental observation that microtubule (MT) catastrophe can be described as a multistep process, we extend the Dogterom–Leibler model for dynamic instability in order to discuss the effect that such a multistep catastrophe mechanism has on the distribution of MT lengths in the two r...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2023-01-01
|
| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/acb07b |
| _version_ | 1797748776691040256 |
|---|---|
| author | Felix Schwietert Lina Heydenreich Jan Kierfeld |
| author_facet | Felix Schwietert Lina Heydenreich Jan Kierfeld |
| author_sort | Felix Schwietert |
| collection | DOAJ |
| description | Regarding the experimental observation that microtubule (MT) catastrophe can be described as a multistep process, we extend the Dogterom–Leibler model for dynamic instability in order to discuss the effect that such a multistep catastrophe mechanism has on the distribution of MT lengths in the two regimes of bounded and unbounded growth. We show that in the former case, the steady state length distribution is non-exponential and has a lighter tail if multiple steps are required to undergo a catastrophe. If rescue events are possible, we detect a maximum in the distribution, i.e. the MT has a most probable length greater than zero. In the regime of unbounded growth, the length distribution converges to a Gaussian distribution whose variance decreases with the number of catastrophe steps. We extend our work by applying the multistep catastrophe model to MTs that grow against an opposing force and to MTs that are confined between two rigid walls. We determine critical forces below which the MT is in the bounded regime, and show that the multistep characteristics of the length distribution are largely lost if the growth of an MT in the unbounded regime is restricted by a rigid wall. All results are verified by stochastic simulations. |
| first_indexed | 2024-03-12T16:09:42Z |
| format | Article |
| id | doaj.art-98a3904b0a83439cb5345e60c15efe61 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:09:42Z |
| publishDate | 2023-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-98a3904b0a83439cb5345e60c15efe612023-08-09T14:11:19ZengIOP PublishingNew Journal of Physics1367-26302023-01-0125101301710.1088/1367-2630/acb07bDynamics and length distributions of microtubules with a multistep catastrophe mechanismFelix Schwietert0https://orcid.org/0000-0003-1907-7588Lina Heydenreich1https://orcid.org/0000-0002-1579-3635Jan Kierfeld2https://orcid.org/0000-0003-4291-0638Physics Department, TU Dortmund University , 44221 Dortmund, GermanyPhysics Department, TU Dortmund University , 44221 Dortmund, GermanyPhysics Department, TU Dortmund University , 44221 Dortmund, GermanyRegarding the experimental observation that microtubule (MT) catastrophe can be described as a multistep process, we extend the Dogterom–Leibler model for dynamic instability in order to discuss the effect that such a multistep catastrophe mechanism has on the distribution of MT lengths in the two regimes of bounded and unbounded growth. We show that in the former case, the steady state length distribution is non-exponential and has a lighter tail if multiple steps are required to undergo a catastrophe. If rescue events are possible, we detect a maximum in the distribution, i.e. the MT has a most probable length greater than zero. In the regime of unbounded growth, the length distribution converges to a Gaussian distribution whose variance decreases with the number of catastrophe steps. We extend our work by applying the multistep catastrophe model to MTs that grow against an opposing force and to MTs that are confined between two rigid walls. We determine critical forces below which the MT is in the bounded regime, and show that the multistep characteristics of the length distribution are largely lost if the growth of an MT in the unbounded regime is restricted by a rigid wall. All results are verified by stochastic simulations.https://doi.org/10.1088/1367-2630/acb07bmicrotubuledynamic instabilitycatastrophemultistep |
| spellingShingle | Felix Schwietert Lina Heydenreich Jan Kierfeld Dynamics and length distributions of microtubules with a multistep catastrophe mechanism New Journal of Physics microtubule dynamic instability catastrophe multistep |
| title | Dynamics and length distributions of microtubules with a multistep catastrophe mechanism |
| title_full | Dynamics and length distributions of microtubules with a multistep catastrophe mechanism |
| title_fullStr | Dynamics and length distributions of microtubules with a multistep catastrophe mechanism |
| title_full_unstemmed | Dynamics and length distributions of microtubules with a multistep catastrophe mechanism |
| title_short | Dynamics and length distributions of microtubules with a multistep catastrophe mechanism |
| title_sort | dynamics and length distributions of microtubules with a multistep catastrophe mechanism |
| topic | microtubule dynamic instability catastrophe multistep |
| url | https://doi.org/10.1088/1367-2630/acb07b |
| work_keys_str_mv | AT felixschwietert dynamicsandlengthdistributionsofmicrotubuleswithamultistepcatastrophemechanism AT linaheydenreich dynamicsandlengthdistributionsofmicrotubuleswithamultistepcatastrophemechanism AT jankierfeld dynamicsandlengthdistributionsofmicrotubuleswithamultistepcatastrophemechanism |