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1Analytical solution of coupled nonlinear rate equations

Paul E. Phillipson

An approximate analytic solution to the Michaelis-Menten kinetic equations is developed which is free of the traditional steady-state hypothesis and is of a simpler form than previous perturbation approaches, so that the relaxation process can be traced in detail. The method involves coordinate transformation of the rate equations and subsequent solution of an integral equation which displays evolution of the system in time as the unfolding of a memory function whose value at any instant is contingent upon the past history of the system. A memory function of the type described here is not present in linear kinetics, so that it can serve to define the distinctly nonlinear features of a kinetic process. The scheme can be enlarged for development of approximate analytical solutions to nonlinear rate equations descriptive of open systems which can evolve into limit cycles or show chaotic behavior.

1982BIOPHYSICAL CHEMISTRY（1982）引用：9

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2On the Possible Importance of Relaxation Processes in Enzyme Catalysis

P E Phillipson

1968Journal of molecular biology引用：19

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3Electronic Bases of Molecular Vibrations. III. Ab Initio Calculations of H2+ and H2 Force Constants

William R. Ross,Paul Phillipson

1966The Journal of Chemical Physics（1966）引用：8

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4Quantum Mechanics of The(p−μ−p)+molecular Ion

WR WESSEL,P PHILLIPSON

: Wave functions and energies are computed using the exact Hamiltonian of (p-muon-p)+.

1964PHYSICAL REVIEW LETTERS（1964）引用：60

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5Theoretical Molecular Transition Probabilities .1. V-N Transition In H2

S Ehrenson,Paul E Phillipson

1961JOURNAL OF CHEMICAL PHYSICS（1961）引用：82

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6Note on Hurley's ``improved Molecular Orbitals and the Valence Bond Theory''

P PHILLIPSON,RS MULLIKEN

Views Icon Views Article contents Figures & tables Video Audio Supplementary Data Peer Review Share Icon Share Twitter Facebook Reddit LinkedIn Tools Icon Tools Reprints and Permissions Cite Icon Cite Search Site Citation P. Phillipson, R. S. Mulliken; Note on Hurley's ``Improved Molecular Orbitals and the Valence Bond Theory''. J. Chem. Phys. 1 August 1960; 33 (2): 615–616. https://doi.org/10.1063/1.1731202 Download citation file: Ris (Zotero) Reference Manager EasyBib Bookends Mendeley Papers EndNote RefWorks BibTex toolbar search Search Dropdown Menu toolbar search search input Search input auto suggest filter your search All ContentAIP Publishing PortfolioThe Journal of Chemical Physics Search Advanced Search |Citation Search

1960JOURNAL OF CHEMICAL PHYSICS（1960）引用：5

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7Note on Hurley's

Paul E Phillipson,Robert S Mulliken

1960Chemical Physics（1960）引用：23

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8IMPROVED LCAO MOLECULAR $ORBITALS^{*}$

Paul E Phillipson,Robert S Mulliken

1958引用：23

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9Improved Molecular Orbitals (computations on H2)

PE PHILLIPSON,RS MULLIKEN

Views Icon Views Article contents Figures & tables Video Audio Supplementary Data Peer Review Share Icon Share Twitter Facebook Reddit LinkedIn Tools Icon Tools Reprints and Permissions Cite Icon Cite Search Site Citation P. E. Phillipson, R. S. Mulliken; Improved Molecular Orbitals (Computations on H2). J. Chem. Phys. 1 June 1958; 28 (6): 1248–1249. https://doi.org/10.1063/1.1744380 Download citation file: Ris (Zotero) Reference Manager EasyBib Bookends Mendeley Papers EndNote RefWorks BibTex toolbar search Search Dropdown Menu toolbar search search input Search input auto suggest filter your search All ContentAIP Publishing PortfolioThe Journal of Chemical Physics Search Advanced Search |Citation Search

1958The Journal of Chemical Physics（1958）引用：79

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Robert S. Mulliken合作论文数Department of Chemistry,University of Chicago3

ROBERT S. MULLIKEN合作论文数1

Stanton Ehrenson合作论文数1

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Robert S. Mulliken

ROBERT S. MULLIKEN

Stanton Ehrenson

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