Research graph
References from Single-molecule thermodynamics of reactive systems: Application to ATP hydrolysis. Local targets link to admitted publications; unresolved targets remain external evidence.
Legendre transforms in chemical thermodynamics
10.1021/cr00030a001 · 1994 · External reference
Thermodynamics of the hydrolysis of adenosine triphosphate as a function of temperature, pH, pMg, and ionic strength
10.1021/jp030576l · 2003 · External reference
Standard thermodynamic formation properties for the adenosine 5’-triphosphate series
10.1021/bi00158a025 · 1992 · External reference
Unresolved reference
2017 · External reference
Unresolved reference
2008 · External reference
The first law. For scientists, citizens, poets and philosophers
10.1021/ed050p323 · 1973 · External reference
Free-energy changes of the glutaminase reaction and the hydrolysis of the terminal pyrophosphate bond of adenosine triphosphate
10.1042/bj0710400 · 1959 · External reference
Unresolved reference
1983 · External reference
Nanoseconds molecular dynamics simulation of primary mechanical energy transfer steps in F1-ATP synthase
2002 · External reference
The formulation of chemical potentials and free energy changes in biochemical reactions
10.1039/d1cp02045e · 2021 · External reference
Thermodynamic quantities for the dissociation equilibria of biologically important compounds. 3. The dissociations of the magnesium salts of phosphoric acid, glucose 1-phosphoric acid and glycerol 2-phosphoric acid
10.1042/bj0580146 · 1954 · External reference
Metabolic efficiency: is it a useful concept?
10.1042/bst0110044 · 1983 · External reference
Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences
10.1103/physreve.60.2721 · 1999 · External reference
From catalysis of evolution to evolution of catalysis
10.1021/acs.accounts.4c00196 · 2024 · External reference
The fluctuation theorem
10.1080/00018730210155133 · 2002 · External reference
The equilibrium constants of the adenosine triphosphate hydrolysis and the adenosine triphosphate-citrate lyase reactions
10.1016/s0021-9258(19)43347-4 · 1973 · External reference
Unresolved reference
1989 · External reference
Chemical and biochemical thermodynamics: is it time for a reunification?
10.1016/j.bpc.2016.10.004 · 2017 · External reference
Chemical and biochemical thermodynamics: from ATP hydrolysis to a general reassessment
10.1021/jp903990j · 2010 · External reference
Kinetic model of ATP synthase: ph dependence of the rate of ATP synthesis
10.1016/s0014-5793(00)01716-6 · 2000 · External reference
Force-velocity and tension transient measurements from drosophila jump muscle reveal the necessity of both weakly-bound cross-bridges and series elasticity in models of muscle contraction
10.1016/j.abb.2021.108809 · 2021 · External reference
Nonequilibrium equality for free energy differences
10.1103/physrevlett.78.2690 · 1997 · External reference
Equalities and inequalities: irreversibility and the second law of thermodynamics at the nanoscale
10.1146/annurev-conmatphys-062910-140506 · 2011 · External reference
Extended irreversible thermodynamics
10.1088/0034-4885/51/8/002 · 1988 · External reference
Extended irreversible thermodynamics revisited (1988-98)
10.1088/0034-4885/62/7/201 · 1999 · External reference
A simple nonequilibrium thermodynamic description of some inhibitors of oxidative phosphorylation
10.1016/s0022-5193(85)80155-7 · 1985 · External reference
Unresolved reference
2008 · External reference
Reversibility of the enzymatic synthesis of glutamine
10.1016/s0021-9258(18)65554-1 · 1954 · External reference
Mechanism of adenosine triphosphate hydrolysis by actomyosin
10.1021/bi00801a004 · 1971 · External reference
Sodium and potassium complexes of adenosinetriphosphate: equilibrium studies
10.1016/s0021-9258(18)65588-7 · 1954 · External reference
Complexation behavior of proteins with polyelectrolytes and random acrylic polyampholytes using turbidimetric titration
10.1002/jctb.280620313 · 1995 · External reference
A thermodynamic principle for the coupled bioenergetic processes of ATP synthesis
10.1351/pac199870030639 · 1998 · External reference
The molecular mechanism of ATP synthesis by F1F0-ATP synthase: a scrutiny of the major possibilities
2002 · External reference
Molecular mechanisms of energy transduction in cells: engineering applications and biological implications
2003 · External reference
A novel systems biology/engineering approach solves fundamental molecular mechanistic problems in bioenergetics and motility
10.1016/j.procbio.2006.07.003 · 2006 · External reference
The new unified theory of ATP synthesis/hydrolysis and muscle contraction, its manifold fundamental consequences and mechanistic implications and its applications in health and disease
10.3390/ijms9091784 · 2008 · External reference
The thermodynamic efficiency of ATP synthesis in oxidative phosphorylation
10.1016/j.bpc.2016.10.002 · 2016 · External reference
Analysis of molecular mechanisms of ATP synthesis from the standpoint of the principle of electrical neutrality
10.1016/j.bpc.2017.03.002 · 2017 · External reference
Two-ion theory of energy coupling in ATP synthesis rectifies a fundamental flaw in the governing equations of the chemiosmotic theory
10.1016/j.bpc.2017.08.005 · 2017 · External reference
Molecular mechanistic insights into coupling of ion transport to ATP synthesis
10.1016/j.bpc.2018.07.006 · 2018 · External reference
Molecular mechanistic insights into uncoupling of ion transport from ATP synthesis, biophys
2018 · External reference
Optimality principle for the coupled chemical reactions of ATP synthesis and its molecular interpretation
10.1016/j.cplett.2018.03.068 · 2018 · External reference
Entropy production and its application to the coupled nonequilibrium processes of ATP synthesis
10.3390/e21080746 · 2019 · External reference
Integration of demand and supply sides in the ATP energy economics of cells
10.1016/j.bpc.2019.106208 · 2019 · External reference
Modern theory of energy coupling and ATP synthesis. Violation of Gauss's law by the chemiosmotic theory and validation of the two-ion theory
10.1016/j.bpc.2019.106271 · 2019 · External reference
Energy landscapes and dynamics of ion translocation through membrane transporters: a meeting ground for physics, chemistry, and biology
10.1007/s10867-021-09591-8 · 2021 · External reference
Beyond binding change: the molecular mechanism of ATP hydrolysis by F1-ATPase and its biochemical consequences
10.3389/fchem.2023.1058500 · 2023 · External reference
Coupling and biological free-energy transduction processes as a bridge between physics and life: molecular-level instantiation of Ervin Bauer's pioneering concepts in biological thermodynamics
10.1016/j.biosystems.2024.105134 · 2024 · External reference
Thermodynamic analysis of energy coupling by determination of the onsager phenomenological coefficients for a 3×3 system of coupled chemical reactions and transport in ATP synthesis and its mechanistic implications
10.1016/j.biosystems.2024.105228 · 2024 · External reference
An account of a century of ATP research
10.1016/j.biosystems.2025.105527 · 2025 · External reference
Symmetry breaking and mismatch in the torsional mechanism of ATP synthesis by FOF1-ATP synthase: mathematical number theory proof and its chemical and biological implications
10.1007/s12064-024-00434-3 · 2025 · External reference
Single-molecule thermodynamics of rotary molecular motors in oxidative phosphorylation: application to physical transport processes
10.1016/j.biosystems.2026.105934 · 2026 · External reference
Standard gibbs energy ΔG0'for the hydrolysis of adenosine triphosphate as a function of pH, pMg, ionic strength, and temperature
2026 · External reference
Are biological systems thermodynamic?
2026 · External reference
EMD simulations for visualization of torsional strain dynamics in the γ subunit of ATP synthase
10.1016/j.cplett.2026.142652 · 2026 · External reference
Kinetic modeling of ATP synthesis by ATP synthase and its mechanistic implications
10.1006/bbrc.2000.2774 · 2000 · External reference
The torsional mechanism of energy transfer in ATP synthase
1999 · External reference
The catalytic cycle of ATP synthesis by means of a torsional mechanism
2000 · External reference
Application of continuous zone electrophoresis to preparative separation of proteins
10.1002/bit.260420707 · 1993 · External reference
Separation of enzymes from microorganism crude extracts by free-flow zone electrophoresis
10.1002/(sici)1097-0290(19960705)51:1<15::aid-bit2>3.0.co;2-3 · 1996 · External reference
Separation of enzymes from Candida boidinii crude extract by continuous flow zone electrophoresis
10.1002/elps.1150111110 · 1990 · External reference
Energy transfer from adenosine triphosphate: quantitative analysis and mechanistic insights
10.1021/jp809678n · 2009 · External reference
Elucidating dynamics and mechanism of cyclic bioreaction networks using topologically-equivalent electrical circuits
10.1016/j.ces.2022.118015 · 2022 · External reference
Modeling dynamics of chemical reaction networks using electrical analogs: application to autocatalytic reactions
10.1016/j.ceja.2022.100374 · 2022 · External reference
Unresolved reference
1986 · External reference
Potentiometric studies of the secondary phosphate ionizations of AMP, ADP, and ATP, and calculations of thermodynamic data for the hydrolysis reactions
10.1021/bi00903a019 · 1963 · External reference
Thermodynamic studies of the formation and ionization of the magnesium(II) complexes of ADP and ATP over the pH range 5 to 9
10.1021/ja00964a002 · 1966 · External reference
Thermodynamic data for the hydrolysis of adenosine triphosphate as a function of pH, Mg2+ ion concentration, and ionic strength
10.1016/s0021-9258(18)93131-5 · 1969 · External reference
Unresolved reference
1967 · External reference
Non-equilibrium thermodynamics in a single-molecule quantum system, mater
2023 · External reference
Phosphorylation energy hypothesis: open chemical systems and their biological functions
10.1146/annurev.physchem.58.032806.104550 · 2007 · External reference
Thermodynamics of stoichiometric biochemical networks in living systems far from equilibrium
10.1016/j.bpc.2004.12.001 · 2005 · External reference
Maximum limit to the number of myosin II motors participating in processive sliding of actin
10.1038/srep32043 · 2016 · External reference
Assessing the efficiency of free energy calculation methods
10.1063/1.1642607 · 2004 · External reference
The value of ΔGo for the hydrolysis of ATP
10.1016/0005-2728(72)90116-8 · 1972 · External reference
Energy transduction in biological systems: a mesoscopic non-equilibrium thermodynamics perspective
10.1515/jnetdy.2007.027 · 2007 · External reference
Nonlinear irreversible thermodynamics of single-molecule experiments
10.1103/physreve.91.062714 · 2015 · External reference
Stochastic thermodynamics, fluctuation theorems and molecular machines
10.1088/0034-4885/75/12/126001 · 2012 · External reference
The apparent stability constants of ionic complexes of various adenosine phosphates with divalent cations1,2
10.1021/ja01592a009 · 1956 · External reference
The apparent stability constants of ionic complexes of various adenosine phosphates with monovalent cations
10.1021/j150536a010 · 1956 · External reference
G and ∂/∂ ξ
10.1021/ed051p577 · 1974 · External reference
Force as a useful variable in reactions: unfolding RNA
10.1146/annurev.biophys.33.110502.140418 · 2004 · External reference
The effect of force on thermodynamics and kinetics of single molecule reactions
10.1016/s0301-4622(02)00177-1 · 2002 · External reference
Elementary processes of the magnesium ion-dependent adenosine triphosphatase activity of heavy meromyosin. A transient kinetic approach to the study of kinases and adenosine triphosphatases and a colorimetric inorganic phosphate assay in situ
10.1042/bj1260635 · 1972 · External reference
Studies on the enzymatic synthesis of glutamine
10.1104/pp.30.5.393 · 1955 · External reference
The Nath-Luxuriæ principles: unified thermodynamic framework for molecular assembly and non-ergodicity via ATP synthesis/hydrolysis example
10.1016/j.biosystems.2025.105481 · 2025 · External reference
Energetics of ligand binding to proteins
10.1016/s0065-3233(08)60410-6 · 1975 · External reference
Some problems in the usage of gibbs free energy in biochemistry
10.1016/s0022-5193(85)80177-6 · 1985 · External reference
Field guide to Nath's research work on ATP synthesis and hydrolysis
10.1016/j.biosystems.2025.105461 · 2025 · External reference
Making ATP
10.1073/pnas.0507207102 · 2005 · External reference
The chemo-mechanical coupled model for F1F0-motor
10.1016/j.pbiomolbio.2012.01.002 · 2012 · External reference
Separation of enzymes from microorganism crude extracts by free-flow zone electrophoresis
10.1002/(sici)1097-0290(19960705)51:1<15::aid-bit2>3.0.co;2-3 · ExternalCitation · doi-reference
Application of continuous zone electrophoresis to preparative separation of proteins
10.1002/bit.260420707 · ExternalCitation · doi-reference
Separation of enzymes from Candida boidinii crude extract by continuous flow zone electrophoresis
10.1002/elps.1150111110 · ExternalCitation · doi-reference
Complexation behavior of proteins with polyelectrolytes and random acrylic polyampholytes using turbidimetric titration
10.1002/jctb.280620313 · ExternalCitation · doi-reference
Kinetic modeling of ATP synthesis by ATP synthase and its mechanistic implications
10.1006/bbrc.2000.2774 · ExternalCitation · doi-reference
Energy landscapes and dynamics of ion translocation through membrane transporters: a meeting ground for physics, chemistry, and biology
10.1007/s10867-021-09591-8 · ExternalCitation · doi-reference
Symmetry breaking and mismatch in the torsional mechanism of ATP synthesis by FOF1-ATP synthase: mathematical number theory proof and its chemical and biological implications
10.1007/s12064-024-00434-3 · ExternalCitation · doi-reference
The value of ΔGo for the hydrolysis of ATP
10.1016/0005-2728(72)90116-8 · ExternalCitation · doi-reference
Force-velocity and tension transient measurements from drosophila jump muscle reveal the necessity of both weakly-bound cross-bridges and series elasticity in models of muscle contraction
10.1016/j.abb.2021.108809 · ExternalCitation · doi-reference
Coupling and biological free-energy transduction processes as a bridge between physics and life: molecular-level instantiation of Ervin Bauer's pioneering concepts in biological thermodynamics
10.1016/j.biosystems.2024.105134 · ExternalCitation · doi-reference
Thermodynamic analysis of energy coupling by determination of the onsager phenomenological coefficients for a 3×3 system of coupled chemical reactions and transport in ATP synthesis and its mechanistic implications
10.1016/j.biosystems.2024.105228 · ExternalCitation · doi-reference
Field guide to Nath's research work on ATP synthesis and hydrolysis
10.1016/j.biosystems.2025.105461 · ExternalCitation · doi-reference
The Nath-Luxuriæ principles: unified thermodynamic framework for molecular assembly and non-ergodicity via ATP synthesis/hydrolysis example
10.1016/j.biosystems.2025.105481 · ExternalCitation · doi-reference
An account of a century of ATP research
10.1016/j.biosystems.2025.105527 · ExternalCitation · doi-reference
Single-molecule thermodynamics of rotary molecular motors in oxidative phosphorylation: application to physical transport processes
10.1016/j.biosystems.2026.105934 · ExternalCitation · doi-reference
Thermodynamics of stoichiometric biochemical networks in living systems far from equilibrium
10.1016/j.bpc.2004.12.001 · ExternalCitation · doi-reference
The thermodynamic efficiency of ATP synthesis in oxidative phosphorylation
10.1016/j.bpc.2016.10.002 · ExternalCitation · doi-reference
Chemical and biochemical thermodynamics: is it time for a reunification?
10.1016/j.bpc.2016.10.004 · ExternalCitation · doi-reference
Analysis of molecular mechanisms of ATP synthesis from the standpoint of the principle of electrical neutrality
10.1016/j.bpc.2017.03.002 · ExternalCitation · doi-reference
Two-ion theory of energy coupling in ATP synthesis rectifies a fundamental flaw in the governing equations of the chemiosmotic theory
10.1016/j.bpc.2017.08.005 · ExternalCitation · doi-reference
Molecular mechanistic insights into coupling of ion transport to ATP synthesis
10.1016/j.bpc.2018.07.006 · ExternalCitation · doi-reference
Integration of demand and supply sides in the ATP energy economics of cells
10.1016/j.bpc.2019.106208 · ExternalCitation · doi-reference
Modern theory of energy coupling and ATP synthesis. Violation of Gauss's law by the chemiosmotic theory and validation of the two-ion theory
10.1016/j.bpc.2019.106271 · ExternalCitation · doi-reference
Modeling dynamics of chemical reaction networks using electrical analogs: application to autocatalytic reactions
10.1016/j.ceja.2022.100374 · ExternalCitation · doi-reference
Elucidating dynamics and mechanism of cyclic bioreaction networks using topologically-equivalent electrical circuits
10.1016/j.ces.2022.118015 · ExternalCitation · doi-reference
Optimality principle for the coupled chemical reactions of ATP synthesis and its molecular interpretation
10.1016/j.cplett.2018.03.068 · ExternalCitation · doi-reference
EMD simulations for visualization of torsional strain dynamics in the γ subunit of ATP synthase
10.1016/j.cplett.2026.142652 · ExternalCitation · doi-reference
The chemo-mechanical coupled model for F1F0-motor
10.1016/j.pbiomolbio.2012.01.002 · ExternalCitation · doi-reference
A novel systems biology/engineering approach solves fundamental molecular mechanistic problems in bioenergetics and motility
10.1016/j.procbio.2006.07.003 · ExternalCitation · doi-reference
Kinetic model of ATP synthase: ph dependence of the rate of ATP synthesis
10.1016/s0014-5793(00)01716-6 · ExternalCitation · doi-reference
Reversibility of the enzymatic synthesis of glutamine
10.1016/s0021-9258(18)65554-1 · ExternalCitation · doi-reference
Sodium and potassium complexes of adenosinetriphosphate: equilibrium studies
10.1016/s0021-9258(18)65588-7 · ExternalCitation · doi-reference
Thermodynamic data for the hydrolysis of adenosine triphosphate as a function of pH, Mg2+ ion concentration, and ionic strength
10.1016/s0021-9258(18)93131-5 · ExternalCitation · doi-reference
The equilibrium constants of the adenosine triphosphate hydrolysis and the adenosine triphosphate-citrate lyase reactions
10.1016/s0021-9258(19)43347-4 · ExternalCitation · doi-reference
A simple nonequilibrium thermodynamic description of some inhibitors of oxidative phosphorylation
10.1016/s0022-5193(85)80155-7 · ExternalCitation · doi-reference
Some problems in the usage of gibbs free energy in biochemistry
10.1016/s0022-5193(85)80177-6 · ExternalCitation · doi-reference
Energetics of ligand binding to proteins
10.1016/s0065-3233(08)60410-6 · ExternalCitation · doi-reference
The effect of force on thermodynamics and kinetics of single molecule reactions
10.1016/s0301-4622(02)00177-1 · ExternalCitation · doi-reference
From catalysis of evolution to evolution of catalysis
10.1021/acs.accounts.4c00196 · ExternalCitation · doi-reference
Standard thermodynamic formation properties for the adenosine 5’-triphosphate series
10.1021/bi00158a025 · ExternalCitation · doi-reference
Mechanism of adenosine triphosphate hydrolysis by actomyosin
10.1021/bi00801a004 · ExternalCitation · doi-reference
Potentiometric studies of the secondary phosphate ionizations of AMP, ADP, and ATP, and calculations of thermodynamic data for the hydrolysis reactions
10.1021/bi00903a019 · ExternalCitation · doi-reference
Legendre transforms in chemical thermodynamics
10.1021/cr00030a001 · ExternalCitation · doi-reference
The first law. For scientists, citizens, poets and philosophers
10.1021/ed050p323 · ExternalCitation · doi-reference
G and ∂/∂ ξ
10.1021/ed051p577 · ExternalCitation · doi-reference
The apparent stability constants of ionic complexes of various adenosine phosphates with monovalent cations
10.1021/j150536a010 · ExternalCitation · doi-reference
Thermodynamic studies of the formation and ionization of the magnesium(II) complexes of ADP and ATP over the pH range 5 to 9
10.1021/ja00964a002 · ExternalCitation · doi-reference
The apparent stability constants of ionic complexes of various adenosine phosphates with divalent cations1,2
10.1021/ja01592a009 · ExternalCitation · doi-reference
Thermodynamics of the hydrolysis of adenosine triphosphate as a function of temperature, pH, pMg, and ionic strength
10.1021/jp030576l · ExternalCitation · doi-reference
Energy transfer from adenosine triphosphate: quantitative analysis and mechanistic insights
10.1021/jp809678n · ExternalCitation · doi-reference
Chemical and biochemical thermodynamics: from ATP hydrolysis to a general reassessment
10.1021/jp903990j · ExternalCitation · doi-reference
Maximum limit to the number of myosin II motors participating in processive sliding of actin
10.1038/srep32043 · ExternalCitation · doi-reference
The formulation of chemical potentials and free energy changes in biochemical reactions
10.1039/d1cp02045e · ExternalCitation · doi-reference
Thermodynamic quantities for the dissociation equilibria of biologically important compounds. 3. The dissociations of the magnesium salts of phosphoric acid, glucose 1-phosphoric acid and glycerol 2-phosphoric acid
10.1042/bj0580146 · ExternalCitation · doi-reference
Free-energy changes of the glutaminase reaction and the hydrolysis of the terminal pyrophosphate bond of adenosine triphosphate
10.1042/bj0710400 · ExternalCitation · doi-reference
Elementary processes of the magnesium ion-dependent adenosine triphosphatase activity of heavy meromyosin. A transient kinetic approach to the study of kinases and adenosine triphosphatases and a colorimetric inorganic phosphate assay in situ
10.1042/bj1260635 · ExternalCitation · doi-reference
Metabolic efficiency: is it a useful concept?
10.1042/bst0110044 · ExternalCitation · doi-reference
Assessing the efficiency of free energy calculation methods
10.1063/1.1642607 · ExternalCitation · doi-reference
Making ATP
10.1073/pnas.0507207102 · ExternalCitation · doi-reference
The fluctuation theorem
10.1080/00018730210155133 · ExternalCitation · doi-reference
Extended irreversible thermodynamics
10.1088/0034-4885/51/8/002 · ExternalCitation · doi-reference
Extended irreversible thermodynamics revisited (1988-98)
10.1088/0034-4885/62/7/201 · ExternalCitation · doi-reference
Stochastic thermodynamics, fluctuation theorems and molecular machines
10.1088/0034-4885/75/12/126001 · ExternalCitation · doi-reference
Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences
10.1103/physreve.60.2721 · ExternalCitation · doi-reference
Nonlinear irreversible thermodynamics of single-molecule experiments
10.1103/physreve.91.062714 · ExternalCitation · doi-reference
Nonequilibrium equality for free energy differences
10.1103/physrevlett.78.2690 · ExternalCitation · doi-reference
Studies on the enzymatic synthesis of glutamine
10.1104/pp.30.5.393 · ExternalCitation · doi-reference
Equalities and inequalities: irreversibility and the second law of thermodynamics at the nanoscale
10.1146/annurev-conmatphys-062910-140506 · ExternalCitation · doi-reference
Force as a useful variable in reactions: unfolding RNA
10.1146/annurev.biophys.33.110502.140418 · ExternalCitation · doi-reference
Phosphorylation energy hypothesis: open chemical systems and their biological functions
10.1146/annurev.physchem.58.032806.104550 · ExternalCitation · doi-reference
A thermodynamic principle for the coupled bioenergetic processes of ATP synthesis
10.1351/pac199870030639 · ExternalCitation · doi-reference
Energy transduction in biological systems: a mesoscopic non-equilibrium thermodynamics perspective
10.1515/jnetdy.2007.027 · ExternalCitation · doi-reference
Beyond binding change: the molecular mechanism of ATP hydrolysis by F1-ATPase and its biochemical consequences
10.3389/fchem.2023.1058500 · ExternalCitation · doi-reference
Entropy production and its application to the coupled nonequilibrium processes of ATP synthesis
10.3390/e21080746 · ExternalCitation · doi-reference
The new unified theory of ATP synthesis/hydrolysis and muscle contraction, its manifold fundamental consequences and mechanistic implications and its applications in health and disease
10.3390/ijms9091784 · ExternalCitation · doi-reference
