Amplifying signal transduction specificity without multiple phosphorylation.
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Enzyme Activation↗
Biomedical subjects
Hong Qian
Publications and source records attributed to Hong Qian.
Stoichiometric network theory for nonequilibrium biochemical systems.
We introduce the basic concepts and develop a theory for nonequilibrium steady-state biochemical systems applicable to analyzing large-scale complex isothermal reaction networks. In terms of the stoichiometric matrix, we demonstrate both Kirchhoff's flux law sigma(l)J(l)=0 over a biochemical species, and potential law sigma(l) mu(l)=0 over a reaction loop. They reflect mass and energy conservation, respectively. For each reaction, its steady-state flux J can be decomposed into forward and backward one-way fluxes J = J+ - J-, with chemical potential difference deltamu = RT ln(J-/J+). The product -Jdeltamu gives the isothermal heat dissipation rate, which is necessarily non-negative according to the second law of thermodynamics. The stoichiometric network theory (SNT) embodies all of the relevant fundamental physics. Knowing J and deltamu of a biochemical reaction, a conductance can be computed which directly reflects the level of gene expression for the particular enzyme. For sufficiently small flux a linear relationship between J and deltamu can be established as the linear flux-force relation in irreversible thermodynamics, analogous to Ohm's law in electrical circuits.
Animals↗
Sensitivity and specificity amplification in signal transduction.
Intracellular signal transduction pathways transmit signals from the cell surface to various intracellular destinations, such as cytoskeleton and nucleus through a cascade of protein-protein interactions and activation events, leading to phenotypic changes such as cell proliferation, differentiation, and death. Over the past two decades, numerous signaling proteins and signal transduction pathways have been discovered and characterized. There are two major classes of signaling proteins: phosphoproteins (e.g., mitogen-activated protein kinases) and guanosine triphosphatases (GTPases; e.g., Ras and G proteins). They both function as molecular switches by addition and removal of one or more high-energy phosphate groups. This review discusses developments that seek to quantify the signal transduction processes with kinetic analysis and mathematical modeling of the signaling phosphoproteins and GTPases. These studies have provided insights into the sensitivity and specificity amplification of biological signals in integrated systems.
Animals↗
Single-molecule enzymology: stochastic Michaelis-Menten kinetics.
We provide a stochastic analysis of single-molecule enzymatic reactions that follow Michaelis-Menten kinetics. We show that this system can exhibit oscillatory behavior in the non-equilibrium steady-state at appropriate substrate concentrations. The stochastic model includes both enzyme dynamics and substrate turnover kinetics. The relationship between the probability of substrate survival and the time-correlation of enzyme conformation trajectories is discussed. Deterministic kinetics at large substrate concentrations are obtained as a limit of the stochastic model. We suggest that in addition to fluctuating enzyme conformation, the stochastic nature of substrate concentration fluctuations is another possible source of the complex behavior of single-molecule enzyme kinetics.
Enzymes↗
Concentration fluctuations in a mesoscopic oscillating chemical reaction system.
Under sustained pumping, kinetics of macroscopic nonlinear biochemical reaction systems far from equilibrium either can be in a stationary steady state or can execute sustained oscillations about a fixed mean. For a system of two dynamic species X and Y, the concentrations n(x) and n(y) will be constant or will repetitively trace a closed loop in the (n(x), n(y)) phase plane, respectively. We study a mesoscopic system with n(x) and n(y) very small; hence the occurrence of random fluctuations modifies the deterministic behavior and the law of mass action is replaced by a stochastic model. We show that n(x) and n(y) execute cyclic random walks in the (n(x), n(y)) plane whether or not the deterministic kinetics for the corresponding macroscopic system represents a steady or an oscillating state. Probability distributions and correlation functions for n(x)(t) and n(y)(t) show quantitative but not qualitative differences between states that would appear as either oscillating or steady in the corresponding macroscopic systems. A diffusion-like equation for probability P(n(x), n(y), t) is obtained for the two-dimensional Brownian motion in the (n(x), n(y)) phase plane. In the limit of large n(x), n(y), the deterministic nonlinear kinetics derived from mass action is recovered. The nature of large fluctuations in an oscillating nonequilibrium system and the conceptual difference between "thermal stochasticity" and "temporal complexity" are clarified by this analysis. This result is relevant to fluorescence correlation spectroscopy and metabolic reaction networks.
Journal Article↗
Entropy production and excess entropy in a nonequilibrium steady-state of single macromolecules.
Based on a recently developed formalism for mesoscopic stochastic dynamics of single macromolecules, such as motor proteins, in aqueous solution, we demonstrate mathematically the principle of the nonequilibrium thermodynamics originated by the Brussels group. The key concepts of excess entropy and excess entropy production, and their mathematical properties as well as physical interpretations, are discussed. The newly developed stochastic macromolecular mechanics is consistent with the general theory of nonequilibrium thermodynamics far from equilibrium, and more importantly, it bridges the abstract theory with the current experimental and modeling work on molecular motors and other biological systems in nonequilibrium steady state.
Journal Article↗
Energy balance for analysis of complex metabolic networks.
Predicting behavior of large-scale biochemical networks represents one of the greatest challenges of bioinformatics and computational biology. Computational tools for predicting fluxes in biochemical networks are applied in the fields of integrated and systems biology, bioinformatics, and genomics, and to aid in drug discovery and identification of potential drug targets. Approaches, such as flux balance analysis (FBA), that account for the known stoichiometry of the reaction network while avoiding implementation of detailed reaction kinetics are promising tools for the analysis of large complex networks. Here we introduce energy balance analysis (EBA)--the theory and methodology for enforcing the laws of thermodynamics in such simulations--making the results more physically realistic and revealing greater insight into the regulatory and control mechanisms operating in complex large-scale systems. We show that EBA eliminates thermodynamically infeasible results associated with FBA.
Biophysics↗
Kinetic timing: a novel mechanism that improves the accuracy of GTPase timers in endosome fusion and other biological processes.
The GTPase superfamily contains a large number of proteins that function as molecular switches by binding and hydrolyzing GTP molecules. They are localized at various intracellular organelles and control diverse cellular processes. For many GTPases, the lifetime of the activated, GTP-bound state is believed to serve as a timer in determining the activation time of a biological event such as membrane fusion and signal transduction. However, such a timer is intrinsically stochastic due to thermal noise at the level of single GTPase molecules. Here, we describe a mathematical model that shows how a directional GTPase cycle, in a nonequilibrium steady-state driven by GTP hydrolysis, can significantly reduce the variance in the lifetime of an activated GTPase molecule and thereby increase the accuracy and efficiency of the timer. This mechanism, termed kinetic timing, articulates a clear function for the energy consumption in GTPase-controlled biological processes. It provides a rationale for why biological timers utilize a GTP hydrolysis cycle rather than a simple GTP binding-dissociation equilibrium, and why the GTP-bound state is a better timer than the GDP-bound state. It also explains the necessity for the existence of multiple GTP-bound intermediates identified by fluorescence spectroscopy and nuclear magnetic resonance studies.
Animals↗
From discrete protein kinetics to continuous Brownian dynamics: a new perspective.
This article presents a comparative analysis of two sets of data from recent experiments on kinetics of (i) protein unfolding by mechanical force and (ii) channel gating with membrane electric potential. Both situations necessitate a continuous Brownian-dynamic view of protein conformational kinetics. We show that the discrete approach traditional to biochemical kinetics is insufficient for understanding dynamics of protein molecules in an aqueous solution or lipid membrane with varying conditions under which the major activation barrier can disappear. A semiquantitative analysis based on Brownian dynamics in a continuous energy landscape offers a more comprehensive description for motions of biological macromolecules.
Kinetics↗
Mesoscopic nonequilibrium thermodynamics of single macromolecules and dynamic entropy-energy compensation.
We introduce axiomatically a complete thermodynamic formalism for a single macromolecule, either with or without detailed balance, in an isothermal ambient fluid based on its stochastic dynamics. With detailed balance, the theory yields mesoscopic, nonequilibrium for entropy (Upsilon(t)) and free energy (Psi(t)) of the macromolecule. Upsilon(t) and Psi(t) fluctuate. Expectation (d/dt)E[Psi(t)]< or =0, "="holds if and only if the macromolecule is at thermal equilibrium, in which we show that Upsilon(t) still fluctuates but Psi(t) is a constant. The entropy fluctuation of Landau, E[(DeltaUpsilon(t))(2)], precisely matches the fluctuation in the internal energy, which in turn equals the fluctuation in heat dissipation. As a generalization of Clausius' classic result, the dynamic fluctuations in the entropy and energy of the macromolecule are exactly compensated at thermal equilibrium. For systems with detailed balance, Helmholtz free energy is shown to be the potential of Onsager's thermodynamic force.
Journal Article↗