# Discrete Step Sizes of Molecular Motors Lead to Bimodal Non-Gaussian Velocity Distributions under Force.

@article{Vu2016DiscreteSS, title={Discrete Step Sizes of Molecular Motors Lead to Bimodal Non-Gaussian Velocity Distributions under Force.}, author={Huong T. Vu and Shaon Chakrabarti and Michael Hinczewski and D. Thirumalai}, journal={Physical review letters}, year={2016}, volume={117 7}, pages={ 078101 } }

Fluctuations in the physical properties of biological machines are inextricably linked to their functions. Distributions of run lengths and velocities of processive molecular motors, like kinesin-1, are accessible through single-molecule techniques, but rigorous theoretical models for these probabilities are lacking. Here, we derive exact analytic results for a kinetic model to predict the resistive force (F)-dependent velocity [P(v)] and run length [P(n)] distribution functions of generic…

## 16 Citations

### Theoretical Investigation of Distributions of Run Lengths for Biological Molecular Motors.

- BiologyThe journal of physical chemistry. B
- 2018

A new theoretical framework to describe the distributions of dynamic properties of biological molecular motors is developed, based on the method of first-passage processes, which finds that these distributions depend on the finite length of linear tracks along which the motors move.

### A non-tight chemomechanical coupling model for force-dependence of movement dynamics of molecular motors.

- BiologyPhysical chemistry chemical physics : PCCP
- 2018

An important aspect of the model is the non-tight coupling between the ATP hydrolysis and mechanical stepping, in contrast to the prevailing models presented in the literature that assume the tight chemomechanical coupling.

### Theoretical Analysis of Run Length Distributions for Coupled Motor Proteins.

- BiologyThe journal of physical chemistry. B
- 2019

It is found that the run length distribution for two motors, in contrast to single motors, is nonmonotonic and the transport efficiency of two-motor complexes might be strongly increased.

### How kinesin waits for ATP affects the nucleotide and load dependence of the stepping kinetics

- BiologyProceedings of the National Academy of Sciences
- 2019

A minimal model is developed, which analytically predicts the outcomes of a number of experimental observable quantities as a function of an external resistive force and ATP concentration and predicts that the F and [T] dependence of the randomness parameters differ qualitatively depending on the waiting states.

### Effects of rebinding rate and asymmetry in unbinding rate on cargo transport by multiple kinesin motors

- Biology
- 2021

Stochastic simulations are used to study the Cooperative transport by multiple kinesin motors, focusing mainly on effects of the form of unbinding rate versus force and the rebinding rate of single motors on the cooperative transport.

### Dynamics of cooperative cargo transport by two elastically coupled kinesin motors

- EngineeringThe European physical journal. E, Soft matter
- 2019

It is proposed that the motor has only the elastic interaction with the cargo via the linker connecting them and has no interaction with another motor, which is consistent with the experimental data.

### Pulling cargo increases the precision of molecular motor progress

- BiologyEPL (Europhysics Letters)
- 2019

It is found that for cargo with a low relative diffusivity, the dynamics of continuous cargo motion —rather than discrete motor steps— dominate, leading to a new, more permissive bound on the precision of motor progress which is independent of the number of stages per motor cycle.

### Performance scaling and trade-offs for collective motor-driven transport

- BiologyNew Journal of Physics
- 2021

A stochastic model for transport of molecular cargo by an arbitrary number N of motors obeying linear Langevin dynamics finds analytic solutions for the N-dependence of the velocity, precision of forward progress, energy flows between different system components, and efficiency.

### Modeling processive motion of kinesin‐13 MCAK and kinesin‐14 Cik1‐Kar3 molecular motors

- BiologyProtein science : a publication of the Protein Society
- 2021

In the models it is proposed that the two dimeric motors use the similar physical mechanism to move processively and explain consistently the available experimental data about effects of the exchange and mutation of the motor homology domain on the velocity of the heterodimer.

### Processivity and Velocity for Motors Stepping on Periodic Tracks

- BiologybioRxiv
- 2019

A theoretical framework is created that allows us to relate the measurable features of motility, such as motor velocity, with the biochemical rates in the leading and trailing heads, thereby connecting biochemical activity and motility.

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