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We propose and analyze a mathematical model of cargo transport by non-processive molecular motors. In our model, the motors change states by random discrete events (corresponding to stepping and binding/unbinding), while the cargo position…

亚细胞过程 · 定量生物学 2018-09-28 Christopher E. Miles , Sean D. Lawley , James P. Keener

Recent work emphasizes that the maximum entropy principle provides a bridge between statistical mechanics models for collective behavior in neural networks and experiments on networks of real neurons. Most of this work has focused on…

神经元与认知 · 定量生物学 2015-06-05 Gasper Tkacik , Olivier Marre , Thierry Mora , Dario Amodei , Michael J. Berry , William Bialek

We propose a simple model for a motor that generates mechanical motion by exploiting an entropic force arising from the topology of the underlying phase space. We show that the generation of mechanical forces in our system is surprisingly…

统计力学 · 物理学 2015-06-15 Natalia Golubeva , Alberto Imparato , Massimiliano Esposito

We consider a multiscale stochastic compartmental model with three types of cells (stem cells, immature cells and mature cells) which combines cell proliferation and cell differentiation. We derive a hydrodynamic limit when the number of…

In living systems, collective molecular behavior is driven by thermodynamic forces in the form of chemical gradients. Leveraging recent advances in the field of nonequilibrium physics, I show that increasing the thermodynamic force alone…

亚细胞过程 · 定量生物学 2022-09-21 Milo M. Lin

Using molecular dynamics simulations, we study supercritical fluids near the gas-liquid critical point under heat flow in two dimensions. We calculate the steady-state temperature and density profiles. The resultant thermal conductivity…

统计力学 · 物理学 2009-11-10 Toshiyuki Hamanaka , Ryoichi Yamamoto , Akira Onuki

In this volume a theory for models of transport in the presence of a free boundary is developed. Macroscopic laws of transport are described by PDEs. When the system is open, there are several mechanisms to couple the system with the…

概率论 · 数学 2016-07-28 Gioia Carinci , Anna De Masi , Cristian Giardinà , Errico Presutti

A classical problem describing the collective motion of cells, is the movement driven by consumption/depletion of a nutrient. Here we analyze one of the simplest such model written as a coupled Partial Differential Equation/Ordinary…

偏微分方程分析 · 数学 2022-09-02 Pierre-Emmanuel Jabin , Benoît Perthame

Close to equilibrium, the exchange of particles and heat between macroscopic systems at different temperatures and different chemical potentials is known to be governed by a matrix of transport coefficients which is positive and symmetric.…

统计力学 · 物理学 2017-10-11 Euijin Jeon , Peter Talkner , Juyeon Yi , Yong Woon Kim

The performance of a molecular motor, characterized by its power output and energy efficiency, is investigated in the motor design space spanned by the stepping rate function and the motor-track interaction potential. Analytic results and…

软凝聚态物质 · 物理学 2018-03-14 Yuhai Tu , Yuansheng Cao

This paper presents a novel approach to the description and understanding of two-dimensional binary cellular automata with the Moore neighborhood that preserve the number of active cells. Such dynamical systems are known to successfully…

动力系统 · 数学 2025-12-10 B. Wolnik , D. M. Falkiewicz , W. Bołt , A. Rutkowski , B. De Baets

Dynamics of molecular motors that move along linear lattices and interact with them via reversible destruction of specific lattice bonds is investigated theoretically by analyzing exactly solvable discrete-state ``burnt-bridge'' models.…

软凝聚态物质 · 物理学 2009-11-13 Max N. Artyomov , Alexander Yu. Morozov , Anatoly B. Kolomeisky

Some microscopic dynamics are also macroscopically irreversible, dissipating energy and producing entropy. For many-particle systems interacting with deterministic thermostats, the rate of thermodynamic entropy dissipated to the environment…

经典物理 · 物理学 2025-01-13 Swetamber Das , Jason R. Green

The study of thermal heat engines was pivotal to establishing the principles of equilibrium thermodynamics, with implications far wider than only engine optimization. For nonequilibrium systems, which by definition dissipate energy even at…

统计力学 · 物理学 2021-05-18 Étienne Fodor , Michael E. Cates

We present a theoretical investigation of thermal fluctuation statistics in a molecular motor. Energy transfer in the motor is described using a multidimensional discrete master equation with nearest-neighbor hopping. In this theory, energy…

统计力学 · 物理学 2014-01-07 K. J. Challis , M. W. Jack

Dynamic properties of molecular motors that fuel their motion by actively interacting with underlying molecular tracks are studied theoretically via discrete-state stochastic ``burnt-bridge'' models. The transport of the particles is viewed…

软凝聚态物质 · 物理学 2009-11-13 Maxim N. Artyomov , Alexander Yu. Morozov , Ekaterina Pronina , Anatoly B. Kolomeisky

We study thermodynamic processes in contact with a heat bath that may have an arbitrary time-varying periodic temperature profile. Within the framework of stochastic thermodynamics, and for models of thermo-dynamic engines in the idealized…

最优化与控制 · 数学 2022-04-06 Olga Movilla Miangolarra , Rui Fu , Amirhossein Taghvaei , Yongxin Chen , Tryphon T. Georgiou

Dynamics of molecular motor dimers, consisting of rigidly bound particles that move along two parallel lattices and interact with underlying molecular tracks, is investigated theoretically by analyzing discrete-state stochastic…

统计力学 · 物理学 2009-11-13 Alexander Yu. Morozov , Anatoly B. Kolomeisky

Thermal motion in complex fluids is a complicated stochastic process but ubiquitously exhibits initial ballistic, intermediate sub-diffusive, and long-time non-Gaussian diffusive motion, unless interrupted. Despite its relevance to numerous…

无序系统与神经网络 · 物理学 2019-09-04 Sanggeun Song , Seong Jun Park , Bong June Sung , Jun Soo Kim , Ji-Hyun Kim , Jaeyoung Sung

Molecular motor proteins serve as an essential component of intracellular transport by generating forces to haul cargoes along cytoskeletal filaments. Two species of motors that are directed oppositely (e.g. kinesin, dynein) can be attached…

亚细胞过程 · 定量生物学 2017-05-10 Christopher E. Miles , James P. Keener