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Multisite protein phosphorylation plays a pivotal role in regulating cellular signaling and decision-making processes. In this study, we focus on the mathematical underpinnings and informational aspects of sequential, distributive…

Molecular Networks · Quantitative Biology 2025-07-22 Iman Tavassoly , Adel Mehrpooya , Parsa Mirlohi , Zahra Abbaspourasadollah

Muscle uses Ca2+ as a messenger to control contraction and relies on ATP to maintain the intracellular Ca2+ homeostasis. Mitochondria are the major sub-cellular organelle of ATP production. With a negative inner membrane potential,…

Biomolecules · Quantitative Biology 2016-07-29 Jingsong Zhou , Kamal Dhakal , Jianxun Yi

The formation of condensates is now considered as a major organization principle of eukaryotic cells. Several studies have recently shown that the properties of these condensates are affected by enzymatic reactions. We propose here a simple…

Soft Condensed Matter · Physics 2024-11-19 Jacques Fries , Javier Diaz , Marie Jardat , Ignacio Pagonabarraga , Pierre Illien , Vincent Dahirel

Through experimental studies, many details of the pathway of integrin $\alpha_{\rm IIb}\beta_3$ activation by ADP during the platelet aggregation process have been mapped out. ADP binds to two separate G protein coupled receptors on…

Molecular Networks · Quantitative Biology 2025-03-26 Keshav B. Patel , Wolfgang Bergmeier , Aaron L. Fogelson

The high accuracy exhibited by biological information transcription processes is due to kinetic proofreading, i.e., by a mechanism which reduces the error rate of the information-handling process by driving it out of equilibrium. We provide…

Statistical Mechanics · Physics 2015-06-18 Riccardo Rao , Luca Peliti

p27$^{Kip1}$ (p27) is an intrinsically disordered protein (IDP) that folds upon binding to cyclin-dependent kinase (Cdk)$/$cyclin complexes (e.g., Cdk2$/$cyclin A), inhibiting their catalytic activity and causing cell cycle arrest. However,…

Several different enzymes display an apparent diffusion coefficient that increases with the concentration of their substrate. Moreover, their motion becomes directed in substrate gradients. Currently, there are several competing models for…

Biological Physics · Physics 2020-09-23 Giovanni Giunta , Hamid Seyed-Allaei , Ulrich Gerland

Enzyme-catalysed reactions involve two distinct timescales. There is a short timescale on which enzymes bind to substrate molecules to produce bound complexes, and a comparatively long timescale on which the complex is transformed into a…

Quantitative Methods · Quantitative Biology 2023-10-06 Taylor Kearney , Mark B. Flegg

Mixtures of microtubules and molecular motors form active materials with diverse dynamical behaviors that vary based on their constituents' molecular properties. We map the non-equilibrium phase diagram of microtubules and tip-accumulating…

Soft Condensed Matter · Physics 2021-08-04 Bezia Lemma , Noah P. Mitchell , Radhika Subramanian , Daniel J. Needleman , Zvonimir Dogic

A mathematical model for chemical reactions in electrolytes is developed using an Energy variational method consistent with classical thermodynamics. Electrostatics and chemical reactions are included in properly defined energetic and…

Chemical Physics · Physics 2022-07-08 Shixin Xu , Robert Eisenberg , Zilong Song , Huaxiong Huang

Fundamentally, action potentials in the squid axon are consequence of the entrance of sodium ions during the depolarization of the rising phase of the spike mediated by the outflow of potassium ions during the hyperpolarization of the…

Neurons and Cognition · Quantitative Biology 2012-11-29 Abdelmalik Moujahid , Alicia D'Anjou

We propose a biochemical model providing the kinetic and energetic descriptions of the processivity dynamics of kinesin and dinein molecular motors. Our approach is a modified version of a well known model describing kinesin dynamics and…

Subcellular Processes · Quantitative Biology 2012-05-17 J. Lopez Alamilla , I. Santamaria-Holek

The catalytic conversion of ATP and AMP to ADP by adenylate kinase (ADK) involves large amplitude, ligand induced domain motions, involving the opening and the closing of LID and NMP domains, during the repeated catalytic cycle. We discover…

Statistical Mechanics · Physics 2015-05-20 Biman Jana , Bharat V. Adkar , Rajib Biswas , Biman Bagchi

F$_\mathrm{o}$F$_1$-ATP synthase is a factory for synthesizing ATP in virtually all cells. Its core machinery is the subcomplex F$_1$-motor (F$_1$-ATPase) and performs the reversible mechanochemical coupling. Isolated F$_1$-motor hydrolyzes…

Biological Physics · Physics 2015-01-19 Shoichi Toyabe , Eiro Muneyuki

Bifunctional enzymes, which catalyze both the forward and reverse steps of a substrate modification reaction, arise naturally in bacterial two-component signaling systems and metabolic regulation. Beyond their well-known role in conferring…

Dynamical Systems · Mathematics 2026-05-13 Badal Joshi , Tung D. Nguyen , Matthew D. Johnston

Conventional kinesin is a homodimeric motor protein that unidirectionally transports organelles along filamentous microtubule (MT) by hydrolyzing ATP molecules. This study shows that the load modulations of ATP turnover and head diffusion…

Biological Physics · Physics 2009-07-13 Dagong Fan , Wenwei Zheng , Ruizheng Hou , Fuli Li , Zhisong Wang

We present a microscopic model of a disordered viscoelastic active solid, i.e. an active material whose long time behaviour is elastic as opposed to viscous. It is composed of filaments, passive crosslinks and molecular motors powered by…

Soft Condensed Matter · Physics 2014-07-15 Rhoda J. Hawkins , Tanniemola B. Liverpool

Biochemical covalent modification networks exhibit a remarkable suite of steady state and dynamical properties such as multistationarity, oscillations, ultrasensitivity and absolute concentration robustness. This paper focuses on conditions…

Molecular Networks · Quantitative Biology 2024-02-29 Badal Joshi , Tung D. Nguyen

Balance of excitation and inhibition is a fundamental feature of in vivo network activity and is important for its computations. However, its presence in the neocortex of higher mammals is not well established. We investigated the dynamics…

F1-ATPase is the soluble portion of the membrane-embedded enzyme FoF1-ATP synthase that catalyzes the production of adenosine triphosphate in eukaryotic and eubacterial cells. In reverse, the F1 part can also hydrolyze ATP quickly at three…

Biomolecules · Quantitative Biology 2015-06-18 Samuel D. Bockenhauer , Thomas M. Duncan , W. E. Moerner , Michael Boersch