Wilson I. Barredo, Christopher C. Bernido, M. Victoria Carpio-Bernido, Jinky B. Bornales
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. © 2018 Elsevier Inc.
Physics Department, MSU-Iligan Institute of Technology, Tibanga, Iligan City, 9200, Philippines; Physics Department, Mindanao State University, Marawi City, 9700, Philippines; Research Center for Theoretical Physics, Central Visayan Institute Foundation, Jagna, Bohol, 6308, Philippines; Physics Department, University of San Carlos, Cebu City, 6000, Philippines
