A mathematical understanding of how cytoplasmic dynein walks on microtubules

Cytoplasmic dynein 1 (hereafter referred to simply as dynein) is a dimeric motor protein that walks and transports intracellular cargos towards the minus end of microtubules. In this article, we formulate, based on physical principles, a mechanical model to describe the stepping behaviour of cytopla...

Full description

Bibliographic Details
Main Authors: L. Trott, M. Hafezparast, A. Madzvamuse
Format: Article
Language:English
Published: The Royal Society 2018-01-01
Series:Royal Society Open Science
Subjects:
Online Access:https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.171568
_version_ 1819173590329720832
author L. Trott
M. Hafezparast
A. Madzvamuse
author_facet L. Trott
M. Hafezparast
A. Madzvamuse
author_sort L. Trott
collection DOAJ
description Cytoplasmic dynein 1 (hereafter referred to simply as dynein) is a dimeric motor protein that walks and transports intracellular cargos towards the minus end of microtubules. In this article, we formulate, based on physical principles, a mechanical model to describe the stepping behaviour of cytoplasmic dynein walking on microtubules from the cell membrane towards the nucleus. Unlike previous studies on physical models of this nature, we base our formulation on the whole structure of dynein to include the temporal dynamics of the individual subunits such as the cargo (for example, an endosome, vesicle or bead), two rings of six ATPase domains associated with diverse cellular activities (AAA+ rings) and the microtubule-binding domains which allow dynein to bind to microtubules. This mathematical framework allows us to examine experimental observations on dynein across a wide range of different species, as well as being able to make predictions on the temporal behaviour of the individual components of dynein not currently experimentally measured. Furthermore, we extend the model framework to include backward stepping, variable step size and dwelling. The power of our model is in its predictive nature; first it reflects recent experimental observations that dynein walks on microtubules using a weakly coordinated stepping pattern with predominantly not passing steps. Second, the model predicts that interhead coordination in the ATP cycle of cytoplasmic dynein is important in order to obtain the alternating stepping patterns and long run lengths seen in experiments.
first_indexed 2024-12-22T20:25:30Z
format Article
id doaj.art-323320a362fb4e87ab9bf4228795ac65
institution Directory Open Access Journal
issn 2054-5703
language English
last_indexed 2024-12-22T20:25:30Z
publishDate 2018-01-01
publisher The Royal Society
record_format Article
series Royal Society Open Science
spelling doaj.art-323320a362fb4e87ab9bf4228795ac652022-12-21T18:13:45ZengThe Royal SocietyRoyal Society Open Science2054-57032018-01-015810.1098/rsos.171568171568A mathematical understanding of how cytoplasmic dynein walks on microtubulesL. TrottM. HafezparastA. MadzvamuseCytoplasmic dynein 1 (hereafter referred to simply as dynein) is a dimeric motor protein that walks and transports intracellular cargos towards the minus end of microtubules. In this article, we formulate, based on physical principles, a mechanical model to describe the stepping behaviour of cytoplasmic dynein walking on microtubules from the cell membrane towards the nucleus. Unlike previous studies on physical models of this nature, we base our formulation on the whole structure of dynein to include the temporal dynamics of the individual subunits such as the cargo (for example, an endosome, vesicle or bead), two rings of six ATPase domains associated with diverse cellular activities (AAA+ rings) and the microtubule-binding domains which allow dynein to bind to microtubules. This mathematical framework allows us to examine experimental observations on dynein across a wide range of different species, as well as being able to make predictions on the temporal behaviour of the individual components of dynein not currently experimentally measured. Furthermore, we extend the model framework to include backward stepping, variable step size and dwelling. The power of our model is in its predictive nature; first it reflects recent experimental observations that dynein walks on microtubules using a weakly coordinated stepping pattern with predominantly not passing steps. Second, the model predicts that interhead coordination in the ATP cycle of cytoplasmic dynein is important in order to obtain the alternating stepping patterns and long run lengths seen in experiments.https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.171568motor proteincytoplasmic dyneinmicrotubuleendocytosisintracellular transport model
spellingShingle L. Trott
M. Hafezparast
A. Madzvamuse
A mathematical understanding of how cytoplasmic dynein walks on microtubules
Royal Society Open Science
motor protein
cytoplasmic dynein
microtubule
endocytosis
intracellular transport model
title A mathematical understanding of how cytoplasmic dynein walks on microtubules
title_full A mathematical understanding of how cytoplasmic dynein walks on microtubules
title_fullStr A mathematical understanding of how cytoplasmic dynein walks on microtubules
title_full_unstemmed A mathematical understanding of how cytoplasmic dynein walks on microtubules
title_short A mathematical understanding of how cytoplasmic dynein walks on microtubules
title_sort mathematical understanding of how cytoplasmic dynein walks on microtubules
topic motor protein
cytoplasmic dynein
microtubule
endocytosis
intracellular transport model
url https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.171568
work_keys_str_mv AT ltrott amathematicalunderstandingofhowcytoplasmicdyneinwalksonmicrotubules
AT mhafezparast amathematicalunderstandingofhowcytoplasmicdyneinwalksonmicrotubules
AT amadzvamuse amathematicalunderstandingofhowcytoplasmicdyneinwalksonmicrotubules
AT ltrott mathematicalunderstandingofhowcytoplasmicdyneinwalksonmicrotubules
AT mhafezparast mathematicalunderstandingofhowcytoplasmicdyneinwalksonmicrotubules
AT amadzvamuse mathematicalunderstandingofhowcytoplasmicdyneinwalksonmicrotubules