**List of Research Publications**

Professor Gerald Harris Rosen

Professor Gerald Harris Rosen

*This list excludes reprinted works and reviews of articles, books, etc.,*

*as well as abstracts of talks in Bull. A.P.S. and elsewhere.*

*Publication List is presented in Chronological Order*

1. “Ignition of Combustible Gases," Jour. Chem. Phys., Vol 30, p. 298 (1959).

2. “Action Principle for the Laminar Flame," Seventh Int. Symposium on Combustion, Butterworths Scientific Publications, London (1958) p. 339.

3. “Classification of Chemistry in Combustion Experiments," Jet Propulsion, Vol. 28, p.839 (1958).

4. “H-Theorems for One-Dimensional Combustion of a Gas," Jour. Chem. Phys., Vol. 31, p. 253 (1959).

5. “Geometrical Significance of the Einstein-Maxwell Equations," Phys. Rev. Vol. 114, p. 1179 (1959).

6. “Generalization of Laminar Flame Action Principle for Arrhenius-type Functions," Jour. Chem. Phys., Vol. 32, p. 311, (1960).

7. “Integration Theory for One-Dimensional Viscous Flow," Phys. of Fluids, Vol. 2, p. 517 (1959).

8. “Poincare's Epistemological Sum," Nuovo Cimento, Vol. 16, p. 966 (1960).

9. “Entropy Production and Pressure Waves," Phys. of Fluids, Vol. 3, p. 188 (1960).

10. “Exact Solutions for the One-Dimensional Viscous Flow of a Perfect Gas," Phys. of Fluids, Vol. 3, p. 191 (1960).

11. “Structure of Leptons and Mesons," Nuovo Cimento, Vol. 18, p. 403 (1960).

12. “Nonlinear Pressure Oscillations in a Combustion Field," ARS Jour. Vol. 30, p. 422 (1960).

13. “Turbulence Theory and Functional Integration I," Phys. of Fluids, Vol. 3, p. 519 (1960).

14. “Burning Rates of Solid Propellants," Jour. Chem. Phys., Vol. 32, p. 89 (1960).

15. “Turbulence Theory and Function Integration II," Phys. of Fluids, Vol. 3, p. 525 (1960).

16. “Interpretation of Rainich Geometry" in

*Recent Developments in General Relativity*, Pergamon Press (1962), p. 387.

17. “Chapters (7) and (8) in

*Theory of Turbulence*, No. 120 in the Series of Selected Papers in Physics, edited by H. Takahasi, The Physical

Society of Japan (1962), p. 106.

18. “Symmetries of the Einstein-Maxwell Equations," Jour. of Math. Phys., Vol. 3, p. 313 (1962).

19.“Method for Removal of Free Electrons in a Plasma," Phys. of Fluids, Vol. 5, p. 737 (1962). Note: This paper derives the equation that

is now known as the OML (orbital motion limited) theory of dust charging. See this e-mail from Prof. Robert Merlino.

20. “Design for a Nuclear-Powered Ramjet," ARS Jour., Vol. 32, p. 1402 (1962).

21. “Stability of the Graviton Against Radiative Decay," Phys. Rev., Vol. 128, p. 449 (1962).

22. “Stability of Pressure Waves in a Combustion Field," ARS Jour., Vol. 32,p. 1605 (1962).

23.“Approximate Evaluation of Feynman Functional Integrals," Jour. of Math. Phys., Vol. 4, p. 1327 (1963).

24. “Reply by Author," AAIA Jour., Vol. 1, p. 978 (1963).

25. “Radiative Reaction and a Possible Theory for the Muon," Nuovo Cimento, Vol. 32, p. 1037 (1964).

26. “Spatially Homogeneous Solutions to the Einstein-Maxwell Equations,"Phys. Rev., Vol. 136, p. B297 (1964).

27. “Unitary Covariant Equations for the Baryon and Pseudoscalar Meson Mass Tensors," Nuovo Cimento, Vol. 34, p. 607 (1964).

28. “Experiment for Observing the Vacuum Scattering of Light by Light," Phys. Rev., Vol. 137B, p. 1357 (1965).

29. “Formal Equivalence of the Nonlinear String and One-Dimensional Fluid Flow," Quarterly of App. Math., Vol. 23, p. 268 (1965).

30. “Mathematical Formalism for Probabilistic Dynamical Theories," Jour. of the Franklin Institute, Vol. 279, p. 457 (1965).

31. “Alternative Experiment for Observing the Vacuum Scattering of Light by Light," Phys. Letts., Vol. 14, p. 201 (1965).

32. “Particlelike Solutions to Nonlinear Scalar Wave Theories," Jour. of Math. Phys., Vol. 6, p. 1269 (1965).

Email received from Dr. Alexander Burinskii from the The Nuclear Safety Institute of the

*Russian*Academy of Science (IBRAE)

On Friday, December 13, 2013 1:17 PM, Burinskii A.Ya.wrote:

Dear Professor Rosen,

Only today I found out your remarkable pioneering works on the particle-like oscillon solutions. Because of that they were not cited in my

papers

******on the extended Kerr-Newman electron, basis of which is essentially coincides with your remarkable idea. It seems to me that it

should be interesting for you, how your idea got development in the Kerr-Newman geometry: arXiv:1212.2920 arXiv:1003.2928.

With very best regards,

Yours, Alexander

******First paper on the oscillating Higgs field is "Regularized Kerr-Newman Solution as a Gravitating Soliton", J. Phys. A: Math. Theor. 43

(2010) 392001, arXiv:1003.2928. Short recent paper is "What tells Gravity on the shape and size of an electron", Physics of Particles and

Nuclei, 45 (1) (2014) 202, arXiv:1212.2920

33. “Electromagnetic Shocks and the Self-Annihilation of Intense Linearly Polarized Radiation in an Ideal Dielectric Material," Phys. Rev., Vol. 139,

p. A539 (1965).

34. “Empirical Admissibility of an Einstein Cosmological Model," Physics Letts., Vol. 17, p. 108 (1965).

35. “On the Refractory Dust Method," Jour. of Applied Phys., Vol. 36, p. 3760 (1965).

36. “Stationary States in Quantum Field Theory," Phys. Rev. Letts., Vol. 16, p. 704 (1966).

37. “SL(3,R) Symmetry in the Quantum Theory of General Relativity," Nuovo Cimento, Vol. 42, p. 797 (1966).

38. “Unitary Irreducible Representations of SL(3,R)," Jour. of Math. Phys., Vol. 7, p. 1284 (1966).

39. “Existence of Particlelike Solutions to Nonlinear Scalar Wave Theories," Jour. of Math. Phys., Vol. 7, p. 2066 (1966).

40. “To Scatter a Photon by a Photon," Amer. J. of Phys., Vol. 34, p. 788 (1966).

41. “Solutions of a Certain Nonlinear Wave Equation," Jour. of Math. and Phys., (M.I.T.), Vol. 45, p. 235 (1966). This particular equation has now been

studied comprehensively by numerous authors (see 2007 PRSA review article).

42. “Space-Charge-Limited Currents in Nonmetallic Solids," Phys. Rev. Letts., Vol. 17, p. 692 & p. 945 (1966).

43. “Nonexistence of Localized Periodic Solutions to Nonlinear Field Theories," Jour. of Math. Phys., Vol. 7, p. 2071 (1966).

44. “Equations of Motion in Classical Nonlinear Field Theories," Jour. of Math. Phys., Vol. 8, p. 573 (1967).

45. “A Conjecture Regarding Quantized Gravitational Theory and the Size of Elementary Particles," Can. J. of Phys., Vol. 45, p. 2383 (1967). (Roger J.

Babson Honorable Mention Essay on Gravity).

46. “Dressed Particle States in Local Quantum Field Theory," Phys. Rev., Vol. 156, p. 1517 (1967).

47. “Self-Interacting Real Scalar Quantum Field Theories Which Admit Stationary States and a Classical Limit," Phys. Rev., Vol. 160, p. 1278

(1967) & Vol. 165, p. 1934 (1968).

48. “Space-Charge-Limited Transient Currents in Nonmetallic Crystals," Phys. Rev., Vol. 163, p. 921 (1967).

49. “New Theory for Incompressible Fluid Turbulence," Phys. Letts., Vol. 25A, p. 644 (1967).

50. “Rigorous Wavefunction for Spin 1/2 Composite Particles," Can. J. of Phys., Vol. 46, p. 909 (1968).

51. “Deductive Functional Integration Approximation Theory for Incompressible Navier-Stokes Fluid Turbulence," Bull. of the American Phys. Soc.,

Vol. 13, p. 803 (1968).

52. “Fundamental Classical and Quantum Dynamical Theory," Jour. of Franklin Inst., Vol. 285, p. 409 (1968).

53. “Functional Integration Theory for Incompressible Fluid Turbulence, "Phys. of Fluids, Vol. 10, p. 2614 (1967).

54. “Ultra-Short-Duration High Current Burst Generator," U.S. Patent Filing Serial No. 664, 509, Aug. 30, 1967 (U.S. Patent No. 3,548,218

issued Dec. 15, 1970).

55. “Internal Dynamics of Particlelike Solutions to Nonlinear Field Theories," Jour. of Math. Phys., Vol. 8, p. 2400 (1967).

56. “Nonexistence of Finite Energy Stationary Quantum States in Nonlinear Field Theories," Jour. of Math. Phys., Vol. 9, p. 804 (1968).

57. “Particlelike Solutions to Nonlinear Complex Scalar Field Theories with Positive-definite Energy Densities," Jour. of Math. Phys., Vol. 9,

p. 996 (1968).

58. “Charged Particlelike Solutions to Nonlinear Complex Scalar Field Theories," Jour. of Math. Phys., Vol. 9, p. 999 (1968).

See email from Dr. Alexander Burinskii (Ref. 32).

59. “A Necessary Condition for the Existence of Singularity-free Global Solutions to Nonlinear Ordinary Differential Equations," Quarterly of

Appl. Math., Vol. 27, p. 133 (1969).

60. “Self-interacting Complex Scalar Quantum Field Theories," Phys. Rev., Vol. 167, p. 1395 (1968).

61. “Dressed-Electron Stationary States in Quantum Electrodynamics," Phys. Rev., Vol. 172, p. 1632 (1968).

62. “Empirical Formula for the Baryon Mass Spectra," Phys. Rev. Letts., Vol. 21, p. 1291 (1968).

63. “Newton's Gravitational Constant," Can. J. of Phys., Vol. 46, p. 1983 (1968).

64. “One-Electron Quantum Theory with Dirac's A2 = m2/e2 Condition," Nuovo Cimento, Vol. 56A, p. 226 (1968).

65. “Relativistic Particle-Antiparticle Stationary States in a Model Quantum Field Theory: Mesons from Quarks," Phys. Rev., Vol. 173, p. 1680 (1968).

66. “Functional Integration Theory for Incompressible Fluid Turbulence II" co-authored by J.A. Okolowski and Gene Eckstut, Jour. of Math. Phys.,

Vol. 10, p. 415 (1969).

67. “Prediction of a Metastable Yo* Baryon," Can. J. of Phys., Vol. 47, p. 238 (1969).

68. “The Dressed Vacuum in Quantum Electrodynamics," Nuovo Cimento, Vol. A57, p. 870 (1968).

69. “Dressed Stationary States in Quantum Electrodynamics," Jour. of Franklin Inst., Vol. 287, p. 261 (1969).

Vol. 13, p. 803 (1968).

52. “Fundamental Classical and Quantum Dynamical Theory," Jour. of Franklin Inst., Vol. 285, p. 409 (1968).

53. “Functional Integration Theory for Incompressible Fluid Turbulence, "Phys. of Fluids, Vol. 10, p. 2614 (1967).

54. “Ultra-Short-Duration High Current Burst Generator," U.S. Patent Filing Serial No. 664, 509, Aug. 30, 1967 (U.S. Patent No. 3,548,218

issued Dec. 15, 1970).

55. “Internal Dynamics of Particlelike Solutions to Nonlinear Field Theories," Jour. of Math. Phys., Vol. 8, p. 2400 (1967).

56. “Nonexistence of Finite Energy Stationary Quantum States in Nonlinear Field Theories," Jour. of Math. Phys., Vol. 9, p. 804 (1968).

57. “Particlelike Solutions to Nonlinear Complex Scalar Field Theories with Positive-definite Energy Densities," Jour. of Math. Phys., Vol. 9,

p. 996 (1968).

58. “Charged Particlelike Solutions to Nonlinear Complex Scalar Field Theories," Jour. of Math. Phys., Vol. 9, p. 999 (1968).

See email from Dr. Alexander Burinskii (Ref. 32).

59. “A Necessary Condition for the Existence of Singularity-free Global Solutions to Nonlinear Ordinary Differential Equations," Quarterly of

Appl. Math., Vol. 27, p. 133 (1969).

60. “Self-interacting Complex Scalar Quantum Field Theories," Phys. Rev., Vol. 167, p. 1395 (1968).

61. “Dressed-Electron Stationary States in Quantum Electrodynamics," Phys. Rev., Vol. 172, p. 1632 (1968).

62. “Empirical Formula for the Baryon Mass Spectra," Phys. Rev. Letts., Vol. 21, p. 1291 (1968).

63. “Newton's Gravitational Constant," Can. J. of Phys., Vol. 46, p. 1983 (1968).

64. “One-Electron Quantum Theory with Dirac's A2 = m2/e2 Condition," Nuovo Cimento, Vol. 56A, p. 226 (1968).

65. “Relativistic Particle-Antiparticle Stationary States in a Model Quantum Field Theory: Mesons from Quarks," Phys. Rev., Vol. 173, p. 1680 (1968).

66. “Functional Integration Theory for Incompressible Fluid Turbulence II" co-authored by J.A. Okolowski and Gene Eckstut, Jour. of Math. Phys.,

Vol. 10, p. 415 (1969).

67. “Prediction of a Metastable Yo* Baryon," Can. J. of Phys., Vol. 47, p. 238 (1969).

68. “The Dressed Vacuum in Quantum Electrodynamics," Nuovo Cimento, Vol. A57, p. 870 (1968).

69. “Dressed Stationary States in Quantum Electrodynamics," Jour. of Franklin Inst., Vol. 287, p. 261 (1969).

70. “Dilatation Covariance and Exact Solutions in Local Relativistic Field Theories," Phys. Rev., Vol. 183, p. 1186 (1969).

71. “Bare Electron and Muon Values Associated with an Invariant Cutoff in Quantum Electrodynamics," Lettere Nuovo Cimento, Vol. 2, p. 561 (1969).

72.

*Formulations of Classical and Quantum Dynamical Theory*, monograph in series

*Mathematics in Science and Engineering*, Academic Press,

New York (1969). Reviewed, e.g., in Journal of the Franklin Institute, Vol. 295 (1973) p. 179.

73. “On the Static Electromagnetic Self-field of an Electron," Letter Nuovo Cimento, Vol. 2, p. 578 (1969).

74. “Exact Stationary States in Local Relativistic Field Theories," Jour. of Math. Phys., Vol. 11, p. 536 (1970).

75. “Decay of Homogeneous Turbulence," Phys. of Fluids, Vol. 13, p. 1391 (1970).

76. “Semi-Theoretical Formula for the Baryon Mass Spectra," Lettere Nuovo Cimento, Vol. 2, p. 747 (1969).

77. “Fluctuation Theory for Space-Charge-Limited Currents," co-authored by Gene Eckstut, Jour. of Math. Phys., Vol. 11, p. 1981 (1970).

78. “Evaluation of the Characteristic Functional for Incompressible Fluid Turbulence," Phys. Letts., Vol. 31A, p. 142 (1970).

79. “Mass Dependence in the Dirac Quark Model," Phys. Rev. D, Vol. 1, p. 2880 (1970).

80. “Navier-Stokes Initial Value Problem for Boundary-Free Incompressible Fluid Flow," Phys. of Fluids, Vol. 13, p. 2891 (1970).

81. “Dilaton Field Theory and Conformally Minkowskian Space-Time," Phys. Rev. D, Vol. 3, p. 615 (1971).

82. “Functional Calculus Theory for Incompressible Fluid Turbulence," Jour. of Math. Phys. Vol. 12, p. 812 (1971).

83. “Quark Charge Fluctuation: A Possible Binding Mechanism for Quarks in Hadrons," Lettere Nuovo Cimento, Vol. 4, p. 721 (1970).

84. “Solution to the Initial Value Problem for Nonlinear Classical Field Equations," Lettere Nuovo Cimento, Vol. 4, p. 1301 (1970).

85. “Minimum Value for c in the Sobolev Inequality || f^3 ||

__<__c ||Ñ f ||^3," SIAM J. App. Math., Vol. 21, p. 30 (1971).

86. “Dynamics of Probability Distributions Over Classical Fields,“ Int. Jour. of Theor. Phys., Vol. 4, p. 189 (1971).

87. “Hamilton-Jacobi Functional Theory for the Integration of Classical Field Equations," Int. Jour. of Theor. Phys. Vol. 4, p. 281 (1971).

88. “Exact Stationary States in | f |^2N Field Theories," Jour. of Math. Phys., Vol. 12, p. 1192 (1971).

89. “Group-theoretic Implication for Statistically Self-Similar Atmospheric Turbulence," Radio Sci., Vol. 6, p. 751 (1971).

90. “Diffusion in Transient Space-Charge-Limited Currents," Phys. Rev. B, Vol. 3, p. 667 (1971).

91. “Quantum Theory of Gravitation and the Mass of the Electron," Phys. Rev. D, Vol. 4, p. 275 (1971). (Roger J. Babson Honorable

Mention Essay on Gravity).

92. “General Solution for Perturbed Plane Couette Flow," Phys. of Fluids, Vol. 14, p. 2767 (1971).

93. “General Invariance of Hydrodynamic Equations: Classical Symmetry-Breaking," Phys. of Fluids, Vol. 15, p. 2061 (1972).

94. “Exact Solutions to the Yang-Mills Field Equations," Jour. of Math. Phys., Vol. 13, p. 595 (1972).

95. “Galilean Invariance and the General Covariance of Nonrelativistic Laws," Amer. J. of Phys., Vol. 40, p. 683 (1972).

96. “Semi-Theoretical Formula for the Main Series in the Baryon Mass Spectra," Lettere Nuovo Cimento, Vol. 3, p. 320 (1972).

97. “Semi-Theoretical Formula for the Supplementary Series in the Baryon Mass Spectra," Lettere Nuovo Cimento, Vol. 3, p. 339 (1972).

98. “Conformal Invariance of Maxwell's Equations," Amer. J. of Phys., Vol. 40, p. 1023 (1972).

99. “Formula for the Baryon Mass Spectra," Phys. Rev. D, Vol. 5, p. 1100 (1972).

100. “Invariance Group of an Equation”, co-authored by G. Ulrich, SIAM J. App. Math., Vol. 24, p. 286 (1973).

101. “On the General Formula For Obtaining Expectation Values from the Hyper- characteristic Function," Lettere Nuovo Cimento, Vol. 4, p. 391 (1972).

102. “Conformal Transformation Matrix for Fields," Annals. of Phys., Vol. 77, p. 452 (1973).

103. “Thermal Dissipative Structures: Limit-Cycle Oscillations in High Temperature Fluids," Phys. Letts., Vol. 43A, p. 349 (1973).

104. “Approximate General Solutions to Nonlinear Reaction-Diffusion Equations," Math. Biosci., Vol. 17, p. 367 (1973).

105. “Mathematical Model for the Frequency of Radiation Carcinogenesis at Low Doses," Math. Biosci., Vol. 18, p. 133 (1973).

106. “Fundamental Theoretical Aspects of Bacterial Chemotaxis," J. Theor. Biol., Vol. 41, p. 201 (1973).

107. “First-Order Diffusive Effects in Nonlinear Rate Processes," Phys. Letts., Vol. 43A, p. 450 (1973).

108. “More Complete Theory for the Electronic Recombination of He2+," co-authored by E-Ni Foo, Lettere Nuovo Cimento, Vol. 8, p. 937 (1973).

109. “Traveling Periodic Waves of Chemical Activity," Phys. Letts., Vol. 45A, p. 263 (1973).

91. “Quantum Theory of Gravitation and the Mass of the Electron," Phys. Rev. D, Vol. 4, p. 275 (1971). (Roger J. Babson Honorable

Mention Essay on Gravity).

92. “General Solution for Perturbed Plane Couette Flow," Phys. of Fluids, Vol. 14, p. 2767 (1971).

93. “General Invariance of Hydrodynamic Equations: Classical Symmetry-Breaking," Phys. of Fluids, Vol. 15, p. 2061 (1972).

94. “Exact Solutions to the Yang-Mills Field Equations," Jour. of Math. Phys., Vol. 13, p. 595 (1972).

95. “Galilean Invariance and the General Covariance of Nonrelativistic Laws," Amer. J. of Phys., Vol. 40, p. 683 (1972).

96. “Semi-Theoretical Formula for the Main Series in the Baryon Mass Spectra," Lettere Nuovo Cimento, Vol. 3, p. 320 (1972).

97. “Semi-Theoretical Formula for the Supplementary Series in the Baryon Mass Spectra," Lettere Nuovo Cimento, Vol. 3, p. 339 (1972).

98. “Conformal Invariance of Maxwell's Equations," Amer. J. of Phys., Vol. 40, p. 1023 (1972).

99. “Formula for the Baryon Mass Spectra," Phys. Rev. D, Vol. 5, p. 1100 (1972).

100. “Invariance Group of an Equation”, co-authored by G. Ulrich, SIAM J. App. Math., Vol. 24, p. 286 (1973).

101. “On the General Formula For Obtaining Expectation Values from the Hyper- characteristic Function," Lettere Nuovo Cimento, Vol. 4, p. 391 (1972).

102. “Conformal Transformation Matrix for Fields," Annals. of Phys., Vol. 77, p. 452 (1973).

103. “Thermal Dissipative Structures: Limit-Cycle Oscillations in High Temperature Fluids," Phys. Letts., Vol. 43A, p. 349 (1973).

104. “Approximate General Solutions to Nonlinear Reaction-Diffusion Equations," Math. Biosci., Vol. 17, p. 367 (1973).

105. “Mathematical Model for the Frequency of Radiation Carcinogenesis at Low Doses," Math. Biosci., Vol. 18, p. 133 (1973).

106. “Fundamental Theoretical Aspects of Bacterial Chemotaxis," J. Theor. Biol., Vol. 41, p. 201 (1973).

107. “First-Order Diffusive Effects in Nonlinear Rate Processes," Phys. Letts., Vol. 43A, p. 450 (1973).

108. “More Complete Theory for the Electronic Recombination of He2+," co-authored by E-Ni Foo, Lettere Nuovo Cimento, Vol. 8, p. 937 (1973).

109. “Traveling Periodic Waves of Chemical Activity," Phys. Letts., Vol. 45A, p. 263 (1973).

110. “Space-Time Microstructure and Singularity-Free Quantum Field Theory," Int. J. of Theor. Phys., Vol. 7, p. 145 (1973).

111. “Theory for Incompressible Fluid Turbulence," co-authored by F. J. Testa, J. of the Franklin Institute, Vol. 297, p. 127 (1974).

112. “Necessary Condition for the Existence of Periodic Solutions to Systems of Reaction-Diffusion Equations," Math. Bioscience, Vol. 21, p. 345 (1974).

113. “On the Propagation Theory for Bands of Chemotactic Bacteria," Math. Bioscience, Vol. 20, p. 185 (1974).

114. “Approximate Solution to the Generic Initial-Value Problem for Nonlinear Reaction-Diffusion Equations," SIAM J. App. Math. Vol. 26, p. 221 (1974).

115. “Fundamental Theoretical Considerations for an Air-Suspension Vortex Flow Incinerator System," Chem. Engrg. Sci., Vol. 29, p. 97 (1974).

116. “Manufacture and Deflagration of an Atomic Hydrogen Propellant," AIAA J., Vol. 11, p. 1325 (1974).

117. “Square-roots, Internal Symmetries, and Fermion Field Quantization," Int. J. of Theor. Phys. Vol. 11, p. 305 (1974).

118. “Can the Rotation of a Bacterial Flagellum Appear Quantized?", Phys. Letts., Vol. 49A, p. 395 (1974).

119. “Global Theorems for Species Distributions Governed by Reaction-Diffusion Equations," J. Chem. Phys., Vol. 61, p. 3676 (1974).

120. “Current Status of Free Radicals and Electronically Excited Metastable Species as High Energy Propellants,"

NASA-JPL Technical Report 953623 (1974).

121. “Self-Similar Solutions for a System of Nonlinear Reaction-Diffusion Equations: Electronic Recombination in an Afterglow Helium Plasma,"

Lettere Nuovo Cimento, Vol. 10, p. 9 (1974).

122. “Bacterial Chemotaxis in the Temporal Gradient Apparatus," Math. Biosci., Vol. 24, p. 17 (1975).

123. “Analytical Solution to the Initial-Value Problem for Traveling Bands of Chemotactic Bacteria," J. Theor. Biol., Vol. 49, p. 311 (1975).

124. “Bounds on the Total Particle Number for Species Governed by Reaction-Diffusion Equations in the Infinite Spatial Domain," Bull. Math. Biol.,

Vol. 36, p. 589 (1974).

125. “On the Stability of Steadily Propagating Bands of Chemotactic Bacteria," co-authored by S. Baloga, Math. Biosci., Vol. 24, p. 273 (1975).

126. “Nonexistence of Dissipative Structure Solutions to Volterra Many-Species Models," J. Math. Phys., Vol. 16, p. 836 (1975).

127. “Solutions to the Nonlinear Recombination Equation for the Infinite Spatial Domain," SIAM J. Appl. Math., Vol. 29, p. 146 (1975).

128. “Bounds on the Total Population for Species Governed by Reaction-Diffusion Equations in Arbitrary Two-Dimensional Regions,"

co-authored by R.G. Fizell, Bull. Math. Biol., Vol. 37, p. 71 (1975).

129. “Validity of the Weak Diffusion Expansion for Solutions to Systems of Reaction- Diffusion Equations," J. Chem. Phys., Vol. 63, p. 417 (1975).

111. “Theory for Incompressible Fluid Turbulence," co-authored by F. J. Testa, J. of the Franklin Institute, Vol. 297, p. 127 (1974).

112. “Necessary Condition for the Existence of Periodic Solutions to Systems of Reaction-Diffusion Equations," Math. Bioscience, Vol. 21, p. 345 (1974).

113. “On the Propagation Theory for Bands of Chemotactic Bacteria," Math. Bioscience, Vol. 20, p. 185 (1974).

114. “Approximate Solution to the Generic Initial-Value Problem for Nonlinear Reaction-Diffusion Equations," SIAM J. App. Math. Vol. 26, p. 221 (1974).

115. “Fundamental Theoretical Considerations for an Air-Suspension Vortex Flow Incinerator System," Chem. Engrg. Sci., Vol. 29, p. 97 (1974).

116. “Manufacture and Deflagration of an Atomic Hydrogen Propellant," AIAA J., Vol. 11, p. 1325 (1974).

117. “Square-roots, Internal Symmetries, and Fermion Field Quantization," Int. J. of Theor. Phys. Vol. 11, p. 305 (1974).

118. “Can the Rotation of a Bacterial Flagellum Appear Quantized?", Phys. Letts., Vol. 49A, p. 395 (1974).

119. “Global Theorems for Species Distributions Governed by Reaction-Diffusion Equations," J. Chem. Phys., Vol. 61, p. 3676 (1974).

120. “Current Status of Free Radicals and Electronically Excited Metastable Species as High Energy Propellants,"

NASA-JPL Technical Report 953623 (1974).

121. “Self-Similar Solutions for a System of Nonlinear Reaction-Diffusion Equations: Electronic Recombination in an Afterglow Helium Plasma,"

Lettere Nuovo Cimento, Vol. 10, p. 9 (1974).

122. “Bacterial Chemotaxis in the Temporal Gradient Apparatus," Math. Biosci., Vol. 24, p. 17 (1975).

123. “Analytical Solution to the Initial-Value Problem for Traveling Bands of Chemotactic Bacteria," J. Theor. Biol., Vol. 49, p. 311 (1975).

124. “Bounds on the Total Particle Number for Species Governed by Reaction-Diffusion Equations in the Infinite Spatial Domain," Bull. Math. Biol.,

Vol. 36, p. 589 (1974).

125. “On the Stability of Steadily Propagating Bands of Chemotactic Bacteria," co-authored by S. Baloga, Math. Biosci., Vol. 24, p. 273 (1975).

126. “Nonexistence of Dissipative Structure Solutions to Volterra Many-Species Models," J. Math. Phys., Vol. 16, p. 836 (1975).

127. “Solutions to the Nonlinear Recombination Equation for the Infinite Spatial Domain," SIAM J. Appl. Math., Vol. 29, p. 146 (1975).

128. “Bounds on the Total Population for Species Governed by Reaction-Diffusion Equations in Arbitrary Two-Dimensional Regions,"

co-authored by R.G. Fizell, Bull. Math. Biol., Vol. 37, p. 71 (1975).

129. “Validity of the Weak Diffusion Expansion for Solutions to Systems of Reaction- Diffusion Equations," J. Chem. Phys., Vol. 63, p. 417 (1975).

130. “Solutions to Systems of Nonlinear Reaction-Diffusion Equations," Bull. Math. Biol., Vol. 37, p. 277 (1975).

131. “Sobolev-Type Lower Bounds on çç Ñ Y çç^2 for Arbitrary Regions in Two- Dimensional Euclidean Space," Quarterly of Appl. Math.,

Vol. 34, p. 200 (1976).

132. “Toward a Simpler Way of Saying 'Ricci-Flat'," J. Franklin Institute, Vol. 299, p. 211 (1975).

133. “Molecule Numbers Associated with the Chemotactic Migration of Neutrophils at Various Temperatures," J. Theor. Biol., Vol. 54, p. 381 (1975).

134. “On the Nature of Solutions to the Dreitlein-Smoes Model for Oscillatory Kinetic Systems," J. Theor. Biol. Vol. 54, p. 391 (1975).

135. “Exclusively Gauge-Invariant Quantum Electrodynamics: A Theory with a Finite Electron Solution," Lettere Nuovo Cimento, Vol. 13, p. 553 (1975).

136. “Chemotactic Transport Theory for Neutrophil Leukocytes," J. Theor. Biol., Vol. 59, p. 371 (1976).

137. “Existence and Nature of Band Solutions to Generic Chemotactic Transport Equations," J. Theor. Biol., Vol. 59, p. 243 (1976).

138. “Conserved Finite Four-Vector for Particlelike Solutions to Nonlinear Classical Field Theories," Lettere Nuovo Cimento, Vol. 16, p. 304 (1976)

.

139. “Construction of Analytically Solvable Models for Interacting Species," Bull. Math. Biol., Vol. 38, p. 193 (1976).

140. “Periodic Solutions to Systems of Reaction-Diffusion Equations," J. Franklin Institute, Vol. 301, p. 307 (1976).

141. “Phenomenological Rate Process Theory for the Storage of Atomic H in Solid H2," Lettere Nuovo Cimento, Vol. 17, p. 437 (1976).

142. “Group-Theoretical Basis for the Value of the Fine-Structure Constant," Phys. Rev. D, Vol. 13, p. 830 (1976).

143. “The Mathematical Theory of Diffusion and Reaction in Permeable Catalysts," Bull. Math. Biol., Vol 38, p. 95 (1976).

144. “On the Structure of Steadily Propagating Rings of Chemotactic Bacteria," co-authored by S. Baloga, J. of Mechano. & Cell Motility,

Vol. 3, p. 255 (1976).

145. “Storage and Recombination of Atomic H in Solid H2," J. Chem. Phys., Vol. 65, p. 1735 (1976).

146. “Solutions to Certain Classes of Linearized Reaction-Diffusion Equations," J. of the Franklin Institute, Vol. 303, p. 1 (1977).

147. “Is the Electromagnetic Field an Invariant Superposition of the 42 States of a Basic Field," Int. J. Theor. Phys., Vol. 15, p. 279 (1976).

148. “Effects of Diffusion of the Stability of the Equilibrium in Multi-Species Ecological Systems," Bull. Math. Biol., Vol. 39, p. 373 (1977).

149. “On the Persistence of Ecological Systems," J. Theor. Biol., Vol. 65, p. 795 (1977).

131. “Sobolev-Type Lower Bounds on çç Ñ Y çç^2 for Arbitrary Regions in Two- Dimensional Euclidean Space," Quarterly of Appl. Math.,

Vol. 34, p. 200 (1976).

132. “Toward a Simpler Way of Saying 'Ricci-Flat'," J. Franklin Institute, Vol. 299, p. 211 (1975).

133. “Molecule Numbers Associated with the Chemotactic Migration of Neutrophils at Various Temperatures," J. Theor. Biol., Vol. 54, p. 381 (1975).

134. “On the Nature of Solutions to the Dreitlein-Smoes Model for Oscillatory Kinetic Systems," J. Theor. Biol. Vol. 54, p. 391 (1975).

135. “Exclusively Gauge-Invariant Quantum Electrodynamics: A Theory with a Finite Electron Solution," Lettere Nuovo Cimento, Vol. 13, p. 553 (1975).

136. “Chemotactic Transport Theory for Neutrophil Leukocytes," J. Theor. Biol., Vol. 59, p. 371 (1976).

137. “Existence and Nature of Band Solutions to Generic Chemotactic Transport Equations," J. Theor. Biol., Vol. 59, p. 243 (1976).

138. “Conserved Finite Four-Vector for Particlelike Solutions to Nonlinear Classical Field Theories," Lettere Nuovo Cimento, Vol. 16, p. 304 (1976)

.

139. “Construction of Analytically Solvable Models for Interacting Species," Bull. Math. Biol., Vol. 38, p. 193 (1976).

140. “Periodic Solutions to Systems of Reaction-Diffusion Equations," J. Franklin Institute, Vol. 301, p. 307 (1976).

141. “Phenomenological Rate Process Theory for the Storage of Atomic H in Solid H2," Lettere Nuovo Cimento, Vol. 17, p. 437 (1976).

142. “Group-Theoretical Basis for the Value of the Fine-Structure Constant," Phys. Rev. D, Vol. 13, p. 830 (1976).

143. “The Mathematical Theory of Diffusion and Reaction in Permeable Catalysts," Bull. Math. Biol., Vol 38, p. 95 (1976).

144. “On the Structure of Steadily Propagating Rings of Chemotactic Bacteria," co-authored by S. Baloga, J. of Mechano. & Cell Motility,

Vol. 3, p. 255 (1976).

145. “Storage and Recombination of Atomic H in Solid H2," J. Chem. Phys., Vol. 65, p. 1735 (1976).

146. “Solutions to Certain Classes of Linearized Reaction-Diffusion Equations," J. of the Franklin Institute, Vol. 303, p. 1 (1977).

147. “Is the Electromagnetic Field an Invariant Superposition of the 42 States of a Basic Field," Int. J. Theor. Phys., Vol. 15, p. 279 (1976).

148. “Effects of Diffusion of the Stability of the Equilibrium in Multi-Species Ecological Systems," Bull. Math. Biol., Vol. 39, p. 373 (1977).

149. “On the Persistence of Ecological Systems," J. Theor. Biol., Vol. 65, p. 795 (1977).

150. “Physio-Chemical Mathematical Theory for Transitions in Cellular Metabolism: An Aspect of Carcinogenesis," Bull. Math. Biol., Vol. 39,

p. 521 (1977).

151. “Model for Carcinogenesis at Low Dose: Addendum," Math. Biosci., Vol. 34, p. 167 (1977).

152. “Upper Bound on the Equilibrium Concentration of Atomic H in Solid H2," Phys. Letts., Vol. 61A, p. 63 (1977).

153. “Stability of the Equilibrium for Atomic H in Solid H2," J. Chem. Phys., Vol. 66, p. 5423 (1977).

154. “Construction of the Faithful Irreducible Representation for the Subgroup G Contained in S7," Int. J. Theor. Phys., Vol. 16, p. 57 (1977).

155. “Linear Correspondents of Nonlinear Equations," Lettere Nuovo Cimento, Vol. 20, p. 617 (1977).

156. “Requisite Temperatures for the Stabilization of Atomic H in Solid H2," AAIA J., Vol. 16, p. 91 (1978).

157. “Chemotactic Transport Theory for Neutrophil Leukocytes," in

*Proceedings of the I.S.O.T. VI*(edited by P. MacLeod), Academic,

New York,1978, p. 327.

158. “Explicit Functional Integration Method for Determining Approximate Stationary States in Quantum Field Theories," in

*Proceedings of NATO*

Advanced Study Institute on Path Integrals and Their Applications in Quantum, Statistical and Solid State Physics(edited by J. Devreese)

Advanced Study Institute on Path Integrals and Their Applications in Quantum, Statistical and Solid State Physics

Plenum, New York, 1978, p. 201.

159. “Lorentz Invariance of Lattice Field Equations in Four-Dimensional Space-Time," Phys. Rev. D., Vol. 17, p. 1178 (1978).

160. “Approximate Solutions to the Navier-Stokes Initial-Value Problem," Phys. of Fluids, Vol. 21, p. 695 (1978).

161. “Galerkin-Ritz Procedures for Approximate Solutions to Systems of Reaction- Diffusion Equations," Bull. Math. Biol., Vol. 40, p. 853 (1978).

162. “Steady-State Distribution of Bacteria Chemotactic Toward Oxygen," Bull. Math. Biol., Vol. 40, p. 671 (1978).

163. “Time Development of Probability Distributions for Interacting Species," Bull. Math. Biol., Vol. 41, p. 357 (1979).

164. “Chemotaxis of Daphnia Pulex Toward Oxygen in Still Water”, J. Theor. Biol., Vol. 66, p. 525 (1978).

165. “Radiation Carcinogenesis at Moderate Doses”, Math. Biosci., Vol. 38, p. 157 (1978).

166. “Variational Principles for Non-Lagrangian Field Equations," Nuovo Cimento A, Vol. 78, p. 386 (1978).

167. “Approach to a Theory for the Masses of the Electron, Muon, and Heavier Charged Leptons," Int. J. Theor. Phys., Vol. 17, p. 1 (1978).

168. “Is Quantized Electric Charge a Purely Electromagnetic Phenomenon?" Int. J. Theor. Phys., Vol. 18, p. 305 (1979).

169. “Constrained Hamiltonian Formulation for Interacting Fields: Stable Particlelike Solutions," co-authored by O. Jakubowicz and V. Tatoian,

J. Math. Phys., Vol. 20, p. 441 (1979).

170. “A Physical Way of Saying a -1 = 137. 0324," Lettere Nuovo Cimento, Vol. 24, p. 120 (1979).

171. “Nonlinear Heat Conduction in Solid H2," Phys. Rev. B, Vol. 19, p. 2398 (1979).

172. “Alternative Integration Procedure for Scale-Invariant Ordinary Differential Equations," Int. J. Math. and Math. Phys., Vol. 2, p. 143 (1979).

173. “Are Large Concentrations of Atomic H Storable in Tritium-Impregnated Solid H2 below 0.10 K?" co-authored by R.W.H. Webeler,

Lettere Nuovo Cimento, Vol. 26, p. 579 (1979).

174. “On the Fisher and the Cubic Polynomial Equations for the Propagation of Species Properties," Bull. Math. Biol., Vol. 42, p. 95 (1980).

175. “Solutional Method for the Energies of a Parameter-Dependent System," Phys. Rev. A, Vol. 20, p. 1287 (1979).

176. “Six Flavors of Quarks but only Three Flavors of Leptons," Int. J. Theor. Phys., Vol. 19, p. 393 (1980).

177. “Space-Time Metrical Fluctuations Induced by Cosmic Turbulence," Nuovo Cimento B, Vol. 57, p. 125 (1980).

178. “A Remarkable Operator Version of the Navier-Stokes Equation," Lettere Nuovo Cimento, Vol. 27, p. 257 (1980).

179. “Restricted Invariance of the Navier-Stokes Equation," Phys. Rev. A, Vol. 22, p. 313 (1980).

180. “Propagation Theory for Tactic Bacteria: Addendum," Math. Biosci., Vol. 52, p. 303 (1980).

181. “Semiclassical Reissner-Nordstrom Model for the Structure of Charged Leptons," Lettere Nuovo Cimento, Vol. 29, p. 125 (1980).

182. “Broadness, Decay and Correlation Functions of Isotropic Homogeneous Turbulence”, Phys. Rev. A, Vol. 22, p. 2180 (1980).

183. “Correspondence-Principle Condition on the Reissner-Nordstrom Solution for Charged Leptons," Int. J. Theor. Phys., Vol. 19, p. 557 (1980).

184. “Grid-Generated Isotropic Homogeneous Turbulence at High Reynolds Numbers," Lettere Nuovo Cimento, Vol. 31, p. 509 (1981).

185. “Energy-particle-number Inequality in Nonlinear Complex-Scalar Field Theory," J. Math. Phys., Vol. 22, p. 489 (1981).

186. “Asymptotic Form of the Longitudinal Correlation Function for Isotropic Homogeneous Turbulence," Phys. of Fluids, Vol. 24, p. 558 (1981).

187. “Incompressible Fluid Turbulence at Large Reynolds Numbers: Theoretical Basis for the t ^ -1 Decay Law and the Form of the

Longitudinal Correlation Function," J. Math. Phys., Vol. 22, p. 1819 (1981).

188. “Relaxation Times for Nonlinear Heat Conduction in Solid H2," Phys. Rev. B, Vol. 23, p. 3093 (1981).

189. “Inequalities in Isotropic Homogeneous Turbulence Theory," J. Math. Phys. Vol. 22, p. 2983 (1981).

190. “Approximate Solution to the Hopf F-Equation for Isotropic Homogeneous Turbulence," Nuovo Cimento B, Vol. 69, p. 169 (1982).

191. “Charged Lepton Masses in the Semi-Classical Reissner-Nordstrom Model," Lettere Nuovo Cimento, Vol. 34, p. 71 (1982).

192. “Nonlinear Fluctuation-Dissipation Relation in Isotropic Homogeneous Fluid Turbulence," Phys. Rev. A, Vol. 25, p. 2405 (1982).

193. “Global Theorems for Boundary-Free Viscous Incompressible Fluid Flows of Finite Energy," J. Math. Phys., Vol. 23, p. 676 (1982).

194. “Permutation Symmetry and Leptonic Mass," Lettere Nuovo Cimento, Vol. 33, p. 45 (1982).

195. “Minimization Principle for the Unit of Electric Charge," Int. J. Theor. Phys., Vol. 22, p. 207 (1983).

196. “Exact Theory for the Self-Similarity and Decay of Homogeous Turbulence," J. Math. Phys., Vol. 23, p. 2582 (1982).

197. “Theoretical Significance of the Condition d = 2m in Bacterial Chemotaxis," Bull. Math. Biol., Vol. 45, p. 151 (1983).

198. “Large-Scale Structure of Isotropic Homogeneous Turbulence," Int. J. Theor. Phys., Vol. 22, p. 87 (1983).

199. “Functional Integrals in Navier-Stokes Incompressible Fluid Turbulence," J. Math. Phys., Vol. 24, p. 193 (1983).

177. “Space-Time Metrical Fluctuations Induced by Cosmic Turbulence," Nuovo Cimento B, Vol. 57, p. 125 (1980).

178. “A Remarkable Operator Version of the Navier-Stokes Equation," Lettere Nuovo Cimento, Vol. 27, p. 257 (1980).

179. “Restricted Invariance of the Navier-Stokes Equation," Phys. Rev. A, Vol. 22, p. 313 (1980).

180. “Propagation Theory for Tactic Bacteria: Addendum," Math. Biosci., Vol. 52, p. 303 (1980).

181. “Semiclassical Reissner-Nordstrom Model for the Structure of Charged Leptons," Lettere Nuovo Cimento, Vol. 29, p. 125 (1980).

182. “Broadness, Decay and Correlation Functions of Isotropic Homogeneous Turbulence”, Phys. Rev. A, Vol. 22, p. 2180 (1980).

183. “Correspondence-Principle Condition on the Reissner-Nordstrom Solution for Charged Leptons," Int. J. Theor. Phys., Vol. 19, p. 557 (1980).

184. “Grid-Generated Isotropic Homogeneous Turbulence at High Reynolds Numbers," Lettere Nuovo Cimento, Vol. 31, p. 509 (1981).

185. “Energy-particle-number Inequality in Nonlinear Complex-Scalar Field Theory," J. Math. Phys., Vol. 22, p. 489 (1981).

186. “Asymptotic Form of the Longitudinal Correlation Function for Isotropic Homogeneous Turbulence," Phys. of Fluids, Vol. 24, p. 558 (1981).

187. “Incompressible Fluid Turbulence at Large Reynolds Numbers: Theoretical Basis for the t ^ -1 Decay Law and the Form of the

Longitudinal Correlation Function," J. Math. Phys., Vol. 22, p. 1819 (1981).

188. “Relaxation Times for Nonlinear Heat Conduction in Solid H2," Phys. Rev. B, Vol. 23, p. 3093 (1981).

189. “Inequalities in Isotropic Homogeneous Turbulence Theory," J. Math. Phys. Vol. 22, p. 2983 (1981).

190. “Approximate Solution to the Hopf F-Equation for Isotropic Homogeneous Turbulence," Nuovo Cimento B, Vol. 69, p. 169 (1982).

191. “Charged Lepton Masses in the Semi-Classical Reissner-Nordstrom Model," Lettere Nuovo Cimento, Vol. 34, p. 71 (1982).

192. “Nonlinear Fluctuation-Dissipation Relation in Isotropic Homogeneous Fluid Turbulence," Phys. Rev. A, Vol. 25, p. 2405 (1982).

193. “Global Theorems for Boundary-Free Viscous Incompressible Fluid Flows of Finite Energy," J. Math. Phys., Vol. 23, p. 676 (1982).

194. “Permutation Symmetry and Leptonic Mass," Lettere Nuovo Cimento, Vol. 33, p. 45 (1982).

195. “Minimization Principle for the Unit of Electric Charge," Int. J. Theor. Phys., Vol. 22, p. 207 (1983).

196. “Exact Theory for the Self-Similarity and Decay of Homogeous Turbulence," J. Math. Phys., Vol. 23, p. 2582 (1982).

197. “Theoretical Significance of the Condition d = 2m in Bacterial Chemotaxis," Bull. Math. Biol., Vol. 45, p. 151 (1983).

198. “Large-Scale Structure of Isotropic Homogeneous Turbulence," Int. J. Theor. Phys., Vol. 22, p. 87 (1983).

199. “Functional Integrals in Navier-Stokes Incompressible Fluid Turbulence," J. Math. Phys., Vol. 24, p. 193 (1983).

200. “Is there a Mass/Radius Symmetry Between the Electron and Proton?", Lettere Nuovo Cimento, Vol. 34, p. 446 (1982).

201. “Analytical Solutions for Distributions of Chemotactic Bacteria," Bull. Math. Biol., Vol. 45, p. 837 (1

202. “Space-time Rescaling Symmetry in the Tactic Migration of Micrometer-size Organisms," Phys. Rev. A, Vol. 27, p. 1232 (198

203. “Method for the Exact Solution of Nonlinear Diffusion-Convection Equation," Phys. Rev. Lett., Vol. 49, p. 1844 (1982)

204. “Necessary Conditions on Potential Functions for a Nonrelativistic Bound-State," Phys. Rev. Lett., Vol. 49, p. 1885 (1982)

205. “Reciprocal Transformation for One-Dimensional Conservation Equations," J. Math. Phys., Vol. 24, p. 793 (1983

206. “Spatial Rotations, Electromagnetic Gauge Transformations, and the Fine-Structure Constant," Lettere Nuovo Cimento, Vol. 37, p. 48

207. “Feynman Path Summation for the Dirac Equation: An Underlying One- Dimensional Aspect of Relativistic Particle Motion," Phys. Rev. A,

Vol. 28, p. 1139 (1983).

208. “Commensalism of Methane-Producing and Motile-Aerobic Bacteria in Certain Freshwater Wetlands," Bull. Math. Biol., Vol. 46, p. 333 (1984

209. “Conditions on the Energy and Potential Function for Multi-Particle Nonrelativistic Bound States," Nuovo Cimento B, Vol. 79, p. 193 (1984).

210. “Navier-Stokes Symmetry in the Phenomenological Transport Theory for Bacterial Chemotaxis," Phys. Rev. A, Vol. 29, p. 2774 (1984).

211. “Stability of Spatially Heterogeneous Steady-State Distributions of Oxygen- Chemotactic Aerobic/Anaerobic Bacteria," Bull. Math. Biol.,

Vol. 46, p. 235 (1984).

212. “Orthogonal Projection Experiments for Many-Parameter Dependent Phenomena: Optimization of Hydroponic Plant Growth," J. Theor. Biol.,

Vol. 108, 315 (1984)

213. “Comment on Biomass Diversity in Ecology," Bull. Math. Biol., Vol. 46, p. 967 (1984)

214. “Cartan-Frobenius Integration Method and Exact Solutions for Relativisitic Ideal Fluid Flows," Phys. Rev. Lett., Vol. 53, p. 1149 (1984).

215. “Characterizing Conditions for Verhulst Logistic Growth of a Biological Population," Bull. Math. Biol., Vol. 46, p. 963 (1984)

216. “Brownian-Motion Correspondence Method for Obtaining Approximate Solutions to Nonlinear Reaction-Diffusion Equations," Phys. Rev. Lett.,

Vol. 53, p. 307 (1984)

217. “Phenomenological Theory for Bacterial Chemotaxis," Chap. 9 in

218. “Necessary Condition for Fokker-Planck Statistical Equilibrium," Phys. Rev. A, Vol. 30, p. 3359 (1984).

219. “Stable Heterogeneous Spatial Distributions of Oxygen and Chemotactic E. coli with Verhulst-Limited Population Growth," J. Theor. Biol.,

Vol. 112, p. 877 (1985)

220. “Inequality Relation Involving the Longitudinal Correlation Function of Isotropic Homogeneous Fluid Turbulence," Phys. Rev. A, Vol. 31,

p. 1941, (1985)

221. “Lower Bounds on Energy Eigenvalues for General Interactions," J. Chem. Phys., Vol. 82, p. 2827 (1985)

222. “Physical Conceptualization of the Gravitational Vacuum Field Equations," Phys. Rev. D, Vol. 31, p. 1491 (1985

223. “Parameter Evolution in the q-Model," Evolution, Vol. 39, p. 707 (1985

224. “Theoretical Basis for Self-Similarity in the Decay of Incompressible Fluid Turbulence," Phys. Rev. A, Vol. 32, p. 2549 (1985)

225. “Duality-Invariant Orthogonality Relation Between the Magnetic Monopole and Associated Quark Charges," Int. J. Theor. Phys.,

Vol. 24, p. 1191 (1985).

201. “Analytical Solutions for Distributions of Chemotactic Bacteria," Bull. Math. Biol., Vol. 45, p. 837 (1

202. “Space-time Rescaling Symmetry in the Tactic Migration of Micrometer-size Organisms," Phys. Rev. A, Vol. 27, p. 1232 (198

203. “Method for the Exact Solution of Nonlinear Diffusion-Convection Equation," Phys. Rev. Lett., Vol. 49, p. 1844 (1982)

204. “Necessary Conditions on Potential Functions for a Nonrelativistic Bound-State," Phys. Rev. Lett., Vol. 49, p. 1885 (1982)

205. “Reciprocal Transformation for One-Dimensional Conservation Equations," J. Math. Phys., Vol. 24, p. 793 (1983

206. “Spatial Rotations, Electromagnetic Gauge Transformations, and the Fine-Structure Constant," Lettere Nuovo Cimento, Vol. 37, p. 48

207. “Feynman Path Summation for the Dirac Equation: An Underlying One- Dimensional Aspect of Relativistic Particle Motion," Phys. Rev. A,

Vol. 28, p. 1139 (1983).

208. “Commensalism of Methane-Producing and Motile-Aerobic Bacteria in Certain Freshwater Wetlands," Bull. Math. Biol., Vol. 46, p. 333 (1984

209. “Conditions on the Energy and Potential Function for Multi-Particle Nonrelativistic Bound States," Nuovo Cimento B, Vol. 79, p. 193 (1984).

210. “Navier-Stokes Symmetry in the Phenomenological Transport Theory for Bacterial Chemotaxis," Phys. Rev. A, Vol. 29, p. 2774 (1984).

211. “Stability of Spatially Heterogeneous Steady-State Distributions of Oxygen- Chemotactic Aerobic/Anaerobic Bacteria," Bull. Math. Biol.,

Vol. 46, p. 235 (1984).

212. “Orthogonal Projection Experiments for Many-Parameter Dependent Phenomena: Optimization of Hydroponic Plant Growth," J. Theor. Biol.,

Vol. 108, 315 (1984)

213. “Comment on Biomass Diversity in Ecology," Bull. Math. Biol., Vol. 46, p. 967 (1984)

214. “Cartan-Frobenius Integration Method and Exact Solutions for Relativisitic Ideal Fluid Flows," Phys. Rev. Lett., Vol. 53, p. 1149 (1984).

215. “Characterizing Conditions for Verhulst Logistic Growth of a Biological Population," Bull. Math. Biol., Vol. 46, p. 963 (1984)

216. “Brownian-Motion Correspondence Method for Obtaining Approximate Solutions to Nonlinear Reaction-Diffusion Equations," Phys. Rev. Lett.,

Vol. 53, p. 307 (1984)

217. “Phenomenological Theory for Bacterial Chemotaxis," Chap. 9 in

*Physiological Models II*(Ed. by M. J. Bazin and J. Prosser, CRC Press, 1988).218. “Necessary Condition for Fokker-Planck Statistical Equilibrium," Phys. Rev. A, Vol. 30, p. 3359 (1984).

219. “Stable Heterogeneous Spatial Distributions of Oxygen and Chemotactic E. coli with Verhulst-Limited Population Growth," J. Theor. Biol.,

Vol. 112, p. 877 (1985)

220. “Inequality Relation Involving the Longitudinal Correlation Function of Isotropic Homogeneous Fluid Turbulence," Phys. Rev. A, Vol. 31,

p. 1941, (1985)

221. “Lower Bounds on Energy Eigenvalues for General Interactions," J. Chem. Phys., Vol. 82, p. 2827 (1985)

222. “Physical Conceptualization of the Gravitational Vacuum Field Equations," Phys. Rev. D, Vol. 31, p. 1491 (1985

223. “Parameter Evolution in the q-Model," Evolution, Vol. 39, p. 707 (1985

224. “Theoretical Basis for Self-Similarity in the Decay of Incompressible Fluid Turbulence," Phys. Rev. A, Vol. 32, p. 2549 (1985)

225. “Duality-Invariant Orthogonality Relation Between the Magnetic Monopole and Associated Quark Charges," Int. J. Theor. Phys.,

Vol. 24, p. 1191 (1985).

226. “Possible Closure Conditions in a Kaluza-Klein Compactified M^4xS^1xK^(N-1) Model," Phys. Rev. D, Vol. 33, p. 572 (1986).

227. “Duality-Invariant Equidistance Between the Units of Electric and Magnetic Charge," Phys. Rev. Lett., Vol. 55, p. 2760 (1985)

228. “Approximate General Solutions for Certain Systems of Nonlinear Reaction-Diffusion Equations," J. Chem. Phys., Vol. 84, p. 2430 (1986)

229. “Existence of Steady-State Probability Distributions in Multilocus Models for Genotype Evolution," Bull. Math. Biol., Vol. 48, p. 87(1986).

230. “Virial Formula for Lepton Mass," Hadronic J., Vol. 8, p. 295 (1985).

231. “Theorems Pertaining to Fokker-Planck Statistical Equilibirum for Multi- Dimensional Stochastic Systems," J. Math. Phys., Vol. 27, p.1387 (1986)

232. “Large-scale Symmetry in the Longitudinal Correlation Function of Isotropic Homogeneous Fluid Turbulence," Phys. Rev. A, Vol. 33, p. 3493 (1986)

233. “Rigorous Analytical Lower Bound on the Ground State Energies of Hydrogenic Atoms In High Magnetic Fields," Phys. Rev. A, Vol. 34,

p. 1556 (1986).

234. “Concise Way of Expressing the Physicogeometric Content of the Gravitational Field Equations," Phys. Rev. D Vol. 35, p. 2595 (1987)

235. “Preclusion of Steady-State Statistical Equilibrium in a Population Model with Environmental Stochasticity," J. of the Franklin Institute,

Vol. 322 , p. 267 (1987).

236. “Transformation Invariance of the Longitudinal Velocity Correlation in Grid-Generated Turbulence at High Reynolds Numbers," J. Fluid Mech.,

Vol. 180, p. 87 (1987).

237. “Analytical Estimation of Critical Parameter Values for Bound States of Screened Coulomb Potentials," J. Math Phys., Vol 28, p. 975 (1987).

238. “Quasi-Schwarzschild R^4 Cast by Spherical Waves in Flat M^4xD^2xD^2: Macroscopic Gravity for Small-Scale Spatial Dimensions,"

Hadronic J., Vol. 9, p. 277 (1986).

239. “Time Delays Produced by Essential Nonlinearity in Population Growth Models," Bull. of Math. Biol., Vol. 49, p. 253 (1987)

240. “Mass Spectral Condition for Leptons and Quarks," Int. J. Theor. Phys. Vol. 27, p. 27 (1988).

241. “Model for the Internal Dynamics of Charged Sequential Leptons," Hadronic J.,Vol. 10, p. 249 (1987).

242. “Connection Between the Lower Bounds on Quantum Mechanical Energy," Hadronic J. Vol. 10, p. 181 (1987).

243. “Dilatation Group Parameter Distances Associated with Charged Leptons: Fourth Generation Mass at 49

p. 109 (1988).

244. “HIV Spread in the San Francisco Cohort: Scaling of the Effective Logistic Rate for Seropositivity in the May-Anderson Model,"

Bull. Math. Biol., Vol. 50, p. 345 (1988)

245. “Spatial Extension of Quantum Gravitational Particles in R^4 x K^N", Int. J. Theor. Phys., Vol. 27, p. 1351 (1988)

246. “Deuterium Nuclear Fusion at Room Temperature: A Pertintent Inequality on Barrier Penetration,” J. Chem. Phys. Vol. 91, p. 4415 (1989).

247.

248. “Mass Scaling for Five Generations of Charged Leptons Based on a Discrete Z5 Symmetry,” Hadronic J., Vol. 13, p. 249 (1990)

249. “Groundstate Thermalization of Hydrogen Isotopes in Certain Metals: Enhancement of p+d and d+d Nuclear Fusion Rates by

Bethe-Bloch Polarization,” Hadronic J. Vol. 13, p. 255 (1990).

250. “Rook’s Tour Representation of the Genetic Code,” Bull. Math. Biol., Vol. 53, p. 845 (1991).

227. “Duality-Invariant Equidistance Between the Units of Electric and Magnetic Charge," Phys. Rev. Lett., Vol. 55, p. 2760 (1985)

228. “Approximate General Solutions for Certain Systems of Nonlinear Reaction-Diffusion Equations," J. Chem. Phys., Vol. 84, p. 2430 (1986)

229. “Existence of Steady-State Probability Distributions in Multilocus Models for Genotype Evolution," Bull. Math. Biol., Vol. 48, p. 87(1986).

230. “Virial Formula for Lepton Mass," Hadronic J., Vol. 8, p. 295 (1985).

231. “Theorems Pertaining to Fokker-Planck Statistical Equilibirum for Multi- Dimensional Stochastic Systems," J. Math. Phys., Vol. 27, p.1387 (1986)

232. “Large-scale Symmetry in the Longitudinal Correlation Function of Isotropic Homogeneous Fluid Turbulence," Phys. Rev. A, Vol. 33, p. 3493 (1986)

233. “Rigorous Analytical Lower Bound on the Ground State Energies of Hydrogenic Atoms In High Magnetic Fields," Phys. Rev. A, Vol. 34,

p. 1556 (1986).

234. “Concise Way of Expressing the Physicogeometric Content of the Gravitational Field Equations," Phys. Rev. D Vol. 35, p. 2595 (1987)

235. “Preclusion of Steady-State Statistical Equilibrium in a Population Model with Environmental Stochasticity," J. of the Franklin Institute,

Vol. 322 , p. 267 (1987).

236. “Transformation Invariance of the Longitudinal Velocity Correlation in Grid-Generated Turbulence at High Reynolds Numbers," J. Fluid Mech.,

Vol. 180, p. 87 (1987).

237. “Analytical Estimation of Critical Parameter Values for Bound States of Screened Coulomb Potentials," J. Math Phys., Vol 28, p. 975 (1987).

238. “Quasi-Schwarzschild R^4 Cast by Spherical Waves in Flat M^4xD^2xD^2: Macroscopic Gravity for Small-Scale Spatial Dimensions,"

Hadronic J., Vol. 9, p. 277 (1986).

239. “Time Delays Produced by Essential Nonlinearity in Population Growth Models," Bull. of Math. Biol., Vol. 49, p. 253 (1987)

240. “Mass Spectral Condition for Leptons and Quarks," Int. J. Theor. Phys. Vol. 27, p. 27 (1988).

241. “Model for the Internal Dynamics of Charged Sequential Leptons," Hadronic J.,Vol. 10, p. 249 (1987).

242. “Connection Between the Lower Bounds on Quantum Mechanical Energy," Hadronic J. Vol. 10, p. 181 (1987).

243. “Dilatation Group Parameter Distances Associated with Charged Leptons: Fourth Generation Mass at 49

**.**90 GeV," Hadronic J., Vol. 11,p. 109 (1988).

244. “HIV Spread in the San Francisco Cohort: Scaling of the Effective Logistic Rate for Seropositivity in the May-Anderson Model,"

Bull. Math. Biol., Vol. 50, p. 345 (1988)

245. “Spatial Extension of Quantum Gravitational Particles in R^4 x K^N", Int. J. Theor. Phys., Vol. 27, p. 1351 (1988)

246. “Deuterium Nuclear Fusion at Room Temperature: A Pertintent Inequality on Barrier Penetration,” J. Chem. Phys. Vol. 91, p. 4415 (1989).

247.

*A New Science of Stock Market Investing*, Harper & Row, New York (1990)248. “Mass Scaling for Five Generations of Charged Leptons Based on a Discrete Z5 Symmetry,” Hadronic J., Vol. 13, p. 249 (1990)

249. “Groundstate Thermalization of Hydrogen Isotopes in Certain Metals: Enhancement of p+d and d+d Nuclear Fusion Rates by

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253. “Author’s Addendum on TIAA-CREF,” Academe (May-June), Vol. 78, p. 5 (1992).

254. “The Age of Interstellar Clouds in a Galaxy,” Hadronic J., Vol. 15, p.315 (1992).

255. “Mass Scaling of Leptons and Quarks,” Hadronic J., Vol. 15, p. 333 (1992).

256. “Symmetry Aspects of Lepton and Quark Mass,” Hadronic J., Vol. 16, p. 37 (1993).

257. “Scaling Symmetry and Power Laws in the Free Decay of Grid-Generated Homogeneous Incompressible Fluid Turbulence at High Reynolds

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258. “Empirical Lepton-Quark Mass Formula: Four Dimensional State Space for Fermion Structure?” Int. J. of Theor. Phys., Vol. 34, p. 31 (1995).

259. “Modular Conformal Scaling Group Evidenced in Lepton-Quark Mass”, Int. J. of Theor. Phys., Vol. 34, p. 1899 (1995).

260. “Higgs-Thomson-Fibonacci Generation of Lepton and Quark Masses”, Hadronic J., Vol. 19, p. 95 (1996).

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262. “Molecular Content Relations in the Genetic Code”, Physics Lett. A, Vol. 253, p. 354 (1999).

263. “Difference Equations for the Masses of Leptons and Quarks in TeV Quantum Gravity,” J. Difference Eqs. and Applications, Vol. 8, p. 25 (2002).

264. “Is there a Field-Theoretic Explanation for Precursor Biopolymers?”, Origins of Life and Evolution of the Biosphere, Vol. 32, p. 299 (2002).

265. “Semi-empirical operator for the self-interaction masses of finite-size leptons and quarks”, Europhysics Letters, Vol. 62, Number 4, pp. 473-476,

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266. “A Modular Fibonacci Sequence in Proteins”, with M. Dominy, 1 Oct. 2004, www.arxiv.org, q-bio GN/0409038.

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274. “A Complex-Scalar Field Model for Dark Matter”, Europhysics Letters, Vol. 89, p. 19002 (2010).

275. “Did CDM Particles of Mass 2.47x10-3 eV Interact with Precursor Biopolymers and Nucleic Acids to Initiate and Boost Lifeforms on Earth?",

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Workshop on Physics and Mathematics (IWPM 2011), Hangzhou, China (July 26-28, 2011).

277. “QCD, Quantum Gravity, and the Size of the Proton”, Asia Europe Physics Summit, Wroclaw, Poland (Oct. 26-29, 2011).

278. "Does the Brain Storage of Information Generate a Hormone which acts Lamarckian Transgenerational to Evolve the Germ-cell Template?",

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International Conference on Physics, Athens Institute for Education and Research (ATINER), 21-24 July 2014, Athens, Greece. Also to appear in

Advanced Studies in Theoretical Physics, Vol. 8, 2014, No. 21, 945-946.

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253. “Author’s Addendum on TIAA-CREF,” Academe (May-June), Vol. 78, p. 5 (1992).

254. “The Age of Interstellar Clouds in a Galaxy,” Hadronic J., Vol. 15, p.315 (1992).

255. “Mass Scaling of Leptons and Quarks,” Hadronic J., Vol. 15, p. 333 (1992).

256. “Symmetry Aspects of Lepton and Quark Mass,” Hadronic J., Vol. 16, p. 37 (1993).

257. “Scaling Symmetry and Power Laws in the Free Decay of Grid-Generated Homogeneous Incompressible Fluid Turbulence at High Reynolds

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259. “Modular Conformal Scaling Group Evidenced in Lepton-Quark Mass”, Int. J. of Theor. Phys., Vol. 34, p. 1899 (1995).

260. “Higgs-Thomson-Fibonacci Generation of Lepton and Quark Masses”, Hadronic J., Vol. 19, p. 95 (1996).

261. “Is Lepton-Quark Mass Preset by a Charge-Number Relation?”, Mod. Phys. Lett. A, Vol. 11, Vol. 11, p. 1687 (1996)

.

262. “Molecular Content Relations in the Genetic Code”, Physics Lett. A, Vol. 253, p. 354 (1999).

263. “Difference Equations for the Masses of Leptons and Quarks in TeV Quantum Gravity,” J. Difference Eqs. and Applications, Vol. 8, p. 25 (2002).

264. “Is there a Field-Theoretic Explanation for Precursor Biopolymers?”, Origins of Life and Evolution of the Biosphere, Vol. 32, p. 299 (2002).

265. “Semi-empirical operator for the self-interaction masses of finite-size leptons and quarks”, Europhysics Letters, Vol. 62, Number 4, pp. 473-476,

May 15 (2003).

266. “A Modular Fibonacci Sequence in Proteins”, with M. Dominy, 1 Oct. 2004, www.arxiv.org, q-bio GN/0409038.

267. “On the Classical to Quantum Correspondence”,

*Mathematical Intelligencer*27, p. 4 (Summer, 2005). The original publication is available atwww.springerlink.com.

268. Einstein and Spinoza in 1955 at 50 (Princeton University presentation commemorating 50th Reunion of the Class of 1955 and Einstein’s Miracle

Year Centennial) pp. 404-406 (2005).

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*Recent Research Developments*

in Physics, (ISBN: 81-7895-171-1) Vol. 6, Transworld Research Network, pp. 185–194 (2005). Table.in Physics

270. “Heuristic Development of a Dirac-Goldhaber Model for Lepton and Quark Structure”, Mod. Physics Lett. A, Vol. 22, No. 4 (2007) pp.283-288.

271. "Conditions on the Higgs-Yukawa Couplings for Lepton Mass", Physica Scripta, Vol. 77, No. 6, p. 065102 (June 2008).

272. “The Masses of Charged Leptons and Quarks from Superposition Self-interference of their Dirac Fields”, Cent. Eur. J. Phys., Vol. 9, No.1, 2011.

This paper has been published in volume 9 issue 1 (2011) of Central European Journal of Physics (CEJP) at

http://www.springerlink.com/content/1895-1082/. Editorial Erratum.

273. “Global Definition and Physical Interpretation of the Cosmological Constant”, Europhysics Letters, Vol. 87, p. 59001 (2009).

274. “A Complex-Scalar Field Model for Dark Matter”, Europhysics Letters, Vol. 89, p. 19002 (2010).

275. “Did CDM Particles of Mass 2.47x10-3 eV Interact with Precursor Biopolymers and Nucleic Acids to Initiate and Boost Lifeforms on Earth?",

Origins of Life and Evolution of Biospheres, Vol. 41, Issue 3, p. 277 (2011).

276. “WIMPs with mass ~ 100 GeV from a Pair of Massless and Small-Mass Scalar-Fields in Interaction”, to appear in the Proceedings of the International

Workshop on Physics and Mathematics (IWPM 2011), Hangzhou, China (July 26-28, 2011).

277. “QCD, Quantum Gravity, and the Size of the Proton”, Asia Europe Physics Summit, Wroclaw, Poland (Oct. 26-29, 2011).

278. "Does the Brain Storage of Information Generate a Hormone which acts Lamarckian Transgenerational to Evolve the Germ-cell Template?",

Proceedings of the Clinical Epigenetics Meeting (CEIM) 2012, Homburg, Germany (March 9-10, 2012).

279. “Dirac model extension for finite-size leptons and quarks in (10+1)D spacetime: Quantum conditions that imply α-1=137.0360824”, Adita Jour. Math.

Phys., Vol. 1 p. 25 (2012); also to appear by permission in “Recent Advances in Quarks Research”, Nova Publications (2012). Copyrighted by

Gerald H. Rosen, September 29, 2011.

280. “Self-interaction mass formula that relates all leptons and quarks to the electron”, Adita Jour. Math. Phys., Vol. 1 p. 31 (2012); also to appear

by permission in “Recent Advances in Quarks Research”, Nova Publications (2012). Copyrighted by Gerald H. Rosen, March 13, 2012.

281. “Attosecond-scale probing of the electron motion in the H-atom groundstate”, J. of Modern Physics, Vol. 3, No. 12 (December 2012).

Copyrighted by Gerald H. Rosen, July 23, 2012.

282. “Are dark matter WIMP’s of mass 8.6 GeV octoneutrons?”, Copyrighted by Gerald H. Rosen, Nov. 7, 2013; to appear in 2nd Annual

International Conference on Physics, Athens Institute for Education and Research (ATINER), 21-24 July 2014, Athens, Greece. Also to appear in

Advanced Studies in Theoretical Physics, Vol. 8, 2014, No. 21, 945-946.