Modelling non-Markovian fluctuations in intracellular biomolecular transport

Wilson I Barredo; Christopher C Bernido; M Victoria Carpio-Bernido; Jinky B Bornales

doi:10.1016/j.mbs.2018.01.004

Modelling non-Markovian fluctuations in intracellular biomolecular transport

Math Biosci. 2018 Mar:297:27-31. doi: 10.1016/j.mbs.2018.01.004. Epub 2018 Jan 11.

Authors

Wilson I Barredo¹, Christopher C Bernido², M Victoria Carpio-Bernido³, Jinky B Bornales⁴

Affiliations

¹ Physics Department, MSU-Iligan Institute of Technology, Tibanga, Iligan City, 9200, Philippines; Physics Department, Mindanao State University, Marawi City, 9700, Philippines.
² Physics Department, MSU-Iligan Institute of Technology, Tibanga, Iligan City, 9200, Philippines; Research Center for Theoretical Physics, Central Visayan Institute Foundation, Jagna, Bohol, 6308, Philippines; Physics Department, University of San Carlos, Cebu City, 6000, Philippines. Electronic address: cbernido.cvif@gmail.com.
³ Physics Department, MSU-Iligan Institute of Technology, Tibanga, Iligan City, 9200, Philippines; Research Center for Theoretical Physics, Central Visayan Institute Foundation, Jagna, Bohol, 6308, Philippines; Physics Department, University of San Carlos, Cebu City, 6000, Philippines.
⁴ Physics Department, MSU-Iligan Institute of Technology, Tibanga, Iligan City, 9200, Philippines.

PMID: 29337131
DOI: 10.1016/j.mbs.2018.01.004

Abstract

To model non-Markovian fluctuations arising in biomolecular transport, we introduce a stochastic process with memory where Brownian motion is modulated sinusoidally. The probability density function and moments of this non-Markovian process are evaluated analytically as Hida stochastic functional integrals. Comparison of graphs of computed variance vis-á-vis empirical data for protein diffusion coefficients closely match with both exhibiting emergent superdiffusive then subdiffusive behavior for longer proteins.

Keywords: Diffusion of proteins; Fluctuations with memory; Sinusoidal Brownian motion.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Biological Transport / physiology*
Diffusion
Models, Biological*
Proteins / metabolism*
Stochastic Processes*

Substances

Proteins