A stochastic model for intracellular active transport
We develop a stochastic model for an intracellular active transport problem. Our aims are to calculate the probability that a molecular motor reaches a hidden target, to study what influences this probability and to calculate the time required for the molecular motor to hit the target (Mean First Pa...
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Biomath Forum
2018-12-01
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doaj-9d67fd1db257496190be6ab0380c33ff2020-11-24T21:47:09ZengBiomath ForumBiomath1314-684X1314-72182018-12-017210.11145/j.biomath.2018.12.047809A stochastic model for intracellular active transportRaluca Purnichescu Purtan0Irina BadralexiUniversity Politehnica of BucharestWe develop a stochastic model for an intracellular active transport problem. Our aims are to calculate the probability that a molecular motor reaches a hidden target, to study what influences this probability and to calculate the time required for the molecular motor to hit the target (Mean First Passage Time). We study different biologically relevant scenarios, which include the possibility of multiple hidden targets (which breed competition) and the presence of obstacles. The purpose of including obstacles is to illustrate actual disruptions of the intracellular transport (which can result, for example, in several neurological disorders. From a mathematical point of view, the intracellular active transport is modelled by two independent continuous-time, discrete space Markov chains: one for the dynamics of the molecular motor in the space intervals and one for the domain of target. The process is time homogeneous and independent of the position of the molecular motor.http://www.biomathforum.org/biomath/index.php/biomath/article/view/1282 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Raluca Purnichescu Purtan Irina Badralexi |
spellingShingle |
Raluca Purnichescu Purtan Irina Badralexi A stochastic model for intracellular active transport Biomath |
author_facet |
Raluca Purnichescu Purtan Irina Badralexi |
author_sort |
Raluca Purnichescu Purtan |
title |
A stochastic model for intracellular active transport |
title_short |
A stochastic model for intracellular active transport |
title_full |
A stochastic model for intracellular active transport |
title_fullStr |
A stochastic model for intracellular active transport |
title_full_unstemmed |
A stochastic model for intracellular active transport |
title_sort |
stochastic model for intracellular active transport |
publisher |
Biomath Forum |
series |
Biomath |
issn |
1314-684X 1314-7218 |
publishDate |
2018-12-01 |
description |
We develop a stochastic model for an intracellular active transport problem. Our aims are to calculate the probability that a molecular motor reaches a hidden target, to study what influences this probability and to calculate the time required for the molecular motor to hit the target (Mean First Passage Time). We study different biologically relevant scenarios, which include the possibility of multiple hidden targets (which breed competition) and the presence of obstacles. The purpose of including obstacles is to illustrate actual disruptions of the intracellular transport (which can result, for example, in several neurological disorders. From a mathematical point of view, the intracellular active transport is modelled by two independent continuous-time, discrete space Markov chains: one for the dynamics of the molecular motor in the space intervals and one for the domain of target. The process is time homogeneous and independent of the position of the molecular motor. |
url |
http://www.biomathforum.org/biomath/index.php/biomath/article/view/1282 |
work_keys_str_mv |
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1725899030469279744 |