Related Experiment Video
Updated: Feb 2, 2026
06:02
Live Imaging to Study Microtubule Dynamic Instability in Taxane-resistant Breast Cancers
Published on: February 20, 2017
8.0K
A Growth-Fragmentation Approach for Modeling Microtubule Dynamic Instability
Stéphane Honoré1,2, Florence Hubert3, Magali Tournus3
1CNRS, INP, Inst Neurophysiopathol, Faculté de Pharmacie de Marseille, Aix Marseille University, 13385, Marseille, France.
Bulletin of Mathematical Biology
|November 29, 2018
Summary
This study introduces a new mathematical model for microtubule (MT) dynamics to investigate cancer chemotherapy drugs. The model simulates how drugs like vinca alkaloids affect MTs, aiding in the development of new cancer treatments.
Area of Science:
- Cell Biology
- Mathematical Biology
- Biophysics
Background:
- Microtubules (MTs) are vital protein filaments in eukaryotic cells, essential for cell division and movement.
- Their role in cell division makes them a key target for cancer chemotherapy drugs.
- Existing experimental studies lack a complete description of MT dynamics, hindering drug development.
Purpose of the Study:
- To propose a novel mathematical model for microtubule dynamics.
- To analyze the effects of chemotherapy drugs on microtubule dynamics.
- To provide a framework for understanding drug-induced alterations in microtubule behavior.
Main Methods:
- Developed a mathematical model combining a growth-fragmentation equation for MT length distribution.
- Coupled the equation with two ODEs for free GTP- and GDP-tubulin concentrations.
- Proved the system's well-posedness and performed numerical simulations to explore parameter influences.
Main Results:
- Demonstrated the model's capability to simulate MT dynamics under varying parameters.
- Provided a qualitative description of how vinca alkaloids, a class of destabilizing drugs, alter MT dynamics.
- Validated simulation results against in vitro observations by adjusting model parameters.
Conclusions:
- The proposed mathematical model offers a valuable tool for studying microtubule dynamics and chemotherapy drug effects.
- The model facilitates a deeper understanding of how specific drugs impact microtubule stability and function.
- This work contributes to the ongoing development of novel cancer therapeutics targeting microtubules.
More Related Videos
Related Concept Videos
02:17Microtubule Instability
6.2K
Microtubules are hollow cylindrical filaments having a diameter of approximately 25 nm and a length that varies from 200 nm to 25 μm. GTP-bound tubulin subunits form αβ-heterodimers for microtubule assembly. These core building blocks interact longitudinally, polymerizing into protofilaments. The protofilaments then interact with one another through lateral bonding forces to form stable cylindrical microtubules. These cylindrical filaments are dynamic as they undergo repeated...
6.2K
01:35Microtubules
99.1K
There are three types of cytoskeletal structures in eukaryotic cells—microfilaments, intermediate filaments, and microtubules. With a diameter of about 25 nm, microtubules are the thickest of these fibers. Microtubules carry out a variety of functions that include cell structure and support, transport of organelles, cell motility (movement), and the separation of chromosomes during cell division.
99.1K
01:18Microtubules
10.7K
Microtubules are the thickest cytoskeletal filaments with a diameter of 25 nm. In prokaryotic organisms, microtubules are commonly found in locomotory appendages like cilia and flagella. In eukaryotic cells, microtubules form specialized extensions for moving fluid over the surface, like those found in cells lining the intestine.
Microtubules have two structurally similar globular protein subunits: α and β tubulins. In the cytosol, the α and β tubulins form a heterodimer....
Microtubules have two structurally similar globular protein subunits: α and β tubulins. In the cytosol, the α and β tubulins form a heterodimer....
10.7K
02:31Habitat Fragmentation
21.4K
Habitat fragmentation describes the division of a more extensive, continuous habitat into smaller, discontinuous areas. Human activities such as land conversion, as well as slower geological processes leading to changes in the physical environment, are the two leading causes of habitat fragmentation. The fragmentation process typically follows the same steps: perforation, dissection, fragmentation, shrinkage, and attrition.
21.4K
00:57Population Growth
28.6K
Population size is dynamic, increasing with birth rates and immigration, and decreasing with death rates and emigration. In ideal conditions with unlimited resources, populations can increase exponentially, which plots as a J-shaped growth rate curve of population size against time. This type of curve is characteristic of newly-introduced invasive species, or populations that have suffered catastrophic declines and are rebounding.
28.6K
01:23Microtubule Formation
7.7K
Microtubules are dynamic structures that undergo continuous assembly and disassembly. They originate from specialized multi-protein complexes known as microtubule organizing centers or MTOCs. Within the MTOC, the point of origin of the microtubule is known as the minus end, while the end radiating outward is the plus end. Microtubules serve two primary functions — the organization of spindle complexes to separate sister chromatids during mitotic or meiotic cell division and the formation...
7.7K