Steven Frank • UCI Profiles (original) (raw)

  1. The Price Equation Reveals a Universal Force-Metric-Bias Law of Algorithmic Learning and Natural Selection. Entropy (Basel). 2025 Oct 31; 27(11). Frank SA. PMID: 41294972; PMCID: PMC12651060.
    View in: PubMed Mentions: 1
  2. Circuit design in biology and machine learning. I. Random networks and dimensional reduction. Evolution. 2025 Sep 12; 79(8):1403-1418. A Frank S. . PMID: 40439578.
    View in: PubMed Mentions: 1 Fields:
  3. Circuit Design in Biology and Machine Learning. II. Anomaly Detection. Entropy (Basel). 2025 Aug 24; 27(9). Frank SA. PMID: 41008022; PMCID: PMC12468569.
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  4. How cancer arises: Genetics releases, plasticity creates, genetics stabilizes. Proc Natl Acad Sci U S A. 2025 Aug 05; 122(31):e2505377122. Frank SA. PMID: 40743398; PMCID: PMC12337297.
    View in: PubMed Mentions: Fields:
    Translation:HumansAnimals
  5. Natural selection at multiple scales. Evolution. 2025 Jul 18; 79(7):1166-1184. Frank SA. PMID: 40065655.
    View in: PubMed Mentions: 1 Fields:
    Translation:Animals
  6. Two principles of success. Proc Natl Acad Sci U S A. 2024 Oct; 121(40):e2417410121. Frank SA. PMID: 39298476; PMCID: PMC11459153.
    View in: PubMed Mentions: 1 Fields:
  7. The origin of novel traits in cancer. Trends Cancer. 2024 10; 10(10):880-892. Frank SA, Yanai I. PMID: 39112299.
    View in: PubMed Mentions: 8 Fields:
    Translation:HumansAnimals
  8. A biological circuit to anticipate trend. Evol Lett. 2024 Sep; 8(5):719-725. Frank SA. PMID: 39328288; PMCID: PMC11424073.
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  9. Robustness and complexity. Cell Syst. 2023 12 20; 14(12):1015-1020. Frank SA. PMID: 38128480.
    View in: PubMed Mentions: 6 Fields:
  10. An enhanced transcription factor repressilator that buffers stochasticity and entrains to an erratic external circadian signal. Front Syst Biol. 2023; 3:1276734. Frank SA. PMID: 40809490; PMCID: PMC12342007.
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  11. Disease from opposing forces in regulatory control. Evol Med Public Health. 2023; 11(1):348-352. Frank SA. PMID: 37868077; PMCID: PMC10590154.
    View in: PubMed Mentions: 2
  12. Precise Traits from Sloppy Components: Perception and the Origin of Phenotypic Response. Entropy (Basel). 2023 Aug 03; 25(8). Frank SA. PMID: 37628192; PMCID: PMC10453304.
    View in: PubMed Mentions: 2
  13. Long-term Outcomes of Bevacizumab and Chemoradiation for Locoregionally Advanced Nasopharyngeal Carcinoma: A Nonrandomized Controlled Trial. JAMA Netw Open. 2023 06 01; 6(6):e2316094. Lee NY, Harris J, Kim J, Garden A, Mechalakos J, Pfister DG, Chan ATC, Hu K, Colevas AD, Frank S, Shenouda G, Bar-Ad V, Waldron JN, Harari PM, Raben A, Torres-Saavedra P, Le QT. PMID: 37266942; PMCID: PMC10238946.
    View in: PubMed Mentions: 3 Fields:
    Translation:Humans
  14. Evolutionary explanations for heterogeneous behavior in clonal bacterial populations. Trends Microbiol. 2023 07; 31(7):665-667. Kümmerli R, Frank SA. PMID: 37117073.
    View in: PubMed Mentions: 3 Fields:
    Translation:Cells
  15. Optimizing differential equations to fit data and predict outcomes. Ecol Evol. 2023 Mar; 13(3):e9895. Frank SA. PMID: 36950372; PMCID: PMC10025256.
    View in: PubMed Mentions: 3
  16. Robustness increases heritability: implications for familial disease. Evolution. 2023 03 01; 77(3):655-659. Frank SA. PMID: 36645393.
    View in: PubMed Mentions: 1 Fields:
  17. The number of neutral mutants in an expanding Luria-Delbrück population is approximately Fréchet. F1000Res. 2022; 11:1254. Frank SA. PMID: 36845325; PMCID: PMC9945811.2.
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  18. Optimization of Transcription Factor Genetic Circuits. Biology (Basel). 2022 Aug 31; 11(9). Frank SA. PMID: 36138773; PMCID: PMC9495410.
    View in: PubMed Mentions: 3
  19. The Fundamental Equations of Change in Statistical Ensembles and Biological Populations. Entropy (Basel). 2020 Dec 10; 22(12). Frank SA, Bruggeman FJ. PMID: 33321870; PMCID: PMC7764014.
    View in: PubMed Mentions: 2
  20. Developmental Mutators and Early Onset Cancer. Front Pediatr. 2020; 8:189. Kentsis A, Frank SA. PMID: 32411637; PMCID: PMC7198762.
    View in: PubMed Mentions: 3
  21. Simple unity among the fundamental equations of science. Philos Trans R Soc Lond B Biol Sci. 2020 04 27; 375(1797):20190351. Frank SA. PMID: 32146893; PMCID: PMC7133502.
    View in: PubMed Mentions: 6 Fields:
  22. Sexual antagonism leads to a mosaic of X-autosome conflict. Evolution. 2020 02; 74(2):495-498. Frank SA, Patten MM. PMID: 31885085.
    View in: PubMed Mentions: 14 Fields:
    Translation:AnimalsCells
  23. Invariance in ecological pattern. F1000Res. 2019; 8:2093. Frank SA, Bascompte J. PMID: 32089829; PMCID: PMC7008606.
    View in: PubMed Mentions: 4 Fields:
  24. Evolution of negative immune regulators. PLoS Pathog. 2019 08; 15(8):e1007913. Frank SA, Schmid-Hempel P. PMID: 31369644; PMCID: PMC6675038.
    View in: PubMed Mentions: 6 Fields:
    Translation:HumansAnimals
  25. How to Understand Behavioral Patterns in Big Data: The Case of Human Collective Memory. Behav Sci (Basel). 2019 Apr 16; 9(4). Frank SA. PMID: 31014045; PMCID: PMC6523660.
    View in: PubMed Mentions: 1
  26. The common patterns of abundance: the log series and Zipf's law. F1000Res. 2019; 8:334. Frank SA. PMID: 31069071; PMCID: PMC6480937.
    View in: PubMed Mentions: 2 Fields:
  27. Evolutionary design of regulatory control. II. Robust error-correcting feedback increases genetic and phenotypic variability. J Theor Biol. 2019 05 07; 468:72-81. Frank SA. PMID: 30796941.
    View in: PubMed Mentions: 8 Fields:
  28. Evolutionary design of regulatory control. I. A robust control theory analysis of tradeoffs. J Theor Biol. 2019 02 21; 463:121-137. Frank SA. PMID: 30571960.
    View in: PubMed Mentions: 4 Fields:
  29. The Price Equation Program: Simple Invariances Unify Population Dynamics, Thermodynamics, Probability, Information and Inference. Entropy (Basel). 2018 Dec 16; 20(12). Frank SA. PMID: 33266701; PMCID: PMC7512578.
    View in: PubMed Mentions: 15
  30. Measurement invariance explains the universal law of generalization for psychological perception. Proc Natl Acad Sci U S A. 2018 09 25; 115(39):9803-9806. Frank SA. PMID: 30201714; PMCID: PMC6166795.
    View in: PubMed Mentions: 7 Fields:
    Translation:Animals
  31. A biochemical logarithmic sensor with broad dynamic range. F1000Res. 2018; 7:200. Frank SA. PMID: 29938108; PMCID: PMC5897783.
    View in: PubMed Mentions: 1 Fields:
  32. Receptor uptake arrays for vitamin B12, siderophores, and glycans shape bacterial communities. Ecol Evol. 2017 12; 7(23):10175-10195. Frank SA. PMID: 29238546; PMCID: PMC5723603.
    View in: PubMed Mentions: 3
  33. Puzzles in modern biology. V. Why are genomes overwired? F1000Res. 2017; 6:924. Frank SA. PMID: 28928947; PMCID: PMC5580404.
    View in: PubMed Mentions: 3 Fields:
  34. Universal expressions of population change by the Price equation: Natural selection, information, and maximum entropy production. Ecol Evol. 2017 05; 7(10):3381-3396. Frank SA. PMID: 28515874; PMCID: PMC5433999.
    View in: PubMed Mentions: 13
  35. Age-specific acceleration in malignant melanoma. F1000Res. 2017; 6:27. Diffey BL, Frank SA. PMID: 28435664; PMCID: PMC5381631.
    View in: PubMed Mentions: 1 Fields:
  36. Puzzles in modern biology. IV. Neurodegeneration, localized origin and widespread decay. F1000Res. 2016; 5:2537. Frank SA. PMID: 28184284; PMCID: PMC5288670.
    View in: PubMed Mentions: Fields:
  37. Puzzles in modern biology. III.Two kinds of causality in age-related disease. F1000Res. 2016; 5:2533. Frank SA. PMID: 28184283; PMCID: PMC5288673.
    View in: PubMed Mentions: 1 Fields:
  38. Puzzles in modern biology. I. Male sterility, failure reveals design. F1000Res. 2016; 5:2288. Frank SA. PMID: 28004842; PMCID: PMC5147525.
    View in: PubMed Mentions: 1 Fields:
  39. Puzzles in modern biology. II. Language, cancer and the recursive processes of evolutionary innovation. F1000Res. 2016; 5:2289. Frank SA. PMID: 28184282; PMCID: PMC5288677.
    View in: PubMed Mentions: 1 Fields:
  40. Invariant death. F1000Res. 2016; 5:2076. Frank SA. PMID: 27785361; PMCID: PMC5063037.
    View in: PubMed Mentions: 3 Fields:
  41. The invariances of power law size distributions. F1000Res. 2016; 5:2074. Frank SA. PMID: 27928497; PMCID: PMC5115223.
    View in: PubMed Mentions: 5 Fields:
  42. Commentary: The nature of cancer research. Int J Epidemiol. 2016 06; 45(3):638-45. Frank SA. PMID: 26659657.
    View in: PubMed Mentions: 2 Fields:
    Translation:Humans
  43. Somatic mosaicism and disease. Curr Biol. 2014 Jun 16; 24(12):R577-R581. Frank SA. PMID: 24937287.
    View in: PubMed Mentions: 24 Fields:
    Translation:Humans
  44. Generative models versus underlying symmetries to explain biological pattern. J Evol Biol. 2014 Jun; 27(6):1172-8. Frank SA. PMID: 24750332.
    View in: PubMed Mentions: 10 Fields:
  45. Microbial metabolism: optimal control of uptake versus synthesis. PeerJ. 2014; 2:e267. Frank SA. PMID: 24795846; PMCID: PMC3940620.
    View in: PubMed Mentions: 3 Fields:
  46. Input-output relations in biological systems: measurement, information and the Hill equation. Biol Direct. 2013 Dec 05; 8:31. Frank SA. PMID: 24308849; PMCID: PMC4028817.
    View in: PubMed Mentions: 45 Fields:
    Translation:Cells
  47. Evolution of robustness and cellular stochasticity of gene expression. PLoS Biol. 2013; 11(6):e1001578. Frank SA. PMID: 23776403; PMCID: PMC3678995.
    View in: PubMed Mentions: 10 Fields:
    Translation:HumansAnimalsCells
  48. Natural selection. VII. History and interpretation of kin selection theory. J Evol Biol. 2013 Jun; 26(6):1151-84. Frank SA. PMID: 23662923.
    View in: PubMed Mentions: 33 Fields:
  49. Microbial evolution: regulatory design prevents cancer-like overgrowths. Curr Biol. 2013 May 06; 23(9):R343-6. Frank SA. PMID: 23660352.
    View in: PubMed Mentions: 6 Fields:
    Translation:AnimalsCells
  50. Natural selection. VI. Partitioning the information in fitness and characters by path analysis. J Evol Biol. 2013 Mar; 26(3):457-71. Frank SA. PMID: 23331930.
    View in: PubMed Mentions: 7 Fields:
    Translation:Animals
  51. Natural selection. V. How to read the fundamental equations of evolutionary change in terms of information theory. J Evol Biol. 2012 Dec; 25(12):2377-96. Frank SA. PMID: 23163325.
    View in: PubMed Mentions: 43 Fields:
  52. Evolution: mitochondrial burden on male health. Curr Biol. 2012 Sep 25; 22(18):R797-9. Frank SA. PMID: 23017992.
    View in: PubMed Mentions: 11 Fields:
    Translation:AnimalsCells
  53. Natural selection. IV. The Price equation. J Evol Biol. 2012 Jun; 25(6):1002-19. Frank SA. PMID: 22487312; PMCID: PMC3354028.
    View in: PubMed Mentions: 42 Fields:
    Translation:Animals
  54. Nonheritable cellular variability accelerates the evolutionary processes of cancer. PLoS Biol. 2012; 10(4):e1001296. Frank SA, Rosner MR. PMID: 22509130; PMCID: PMC3317895.
    View in: PubMed Mentions: 41 Fields:
    Translation:Humans
  55. Natural selection. III. Selection versus transmission and the levels of selection. J Evol Biol. 2012 Feb; 25(2):227-43. Frank SA. PMID: 22150796; PMCID: PMC3258362.
    View in: PubMed Mentions: 24 Fields:
  56. Natural selection. II. Developmental variability and evolutionary rate. J Evol Biol. 2011 Nov; 24(11):2310-20. Frank SA. PMID: 21939464.
    View in: PubMed Mentions: 27 Fields:
  57. Natural selection. I. Variable environments and uncertain returns on investment. J Evol Biol. 2011 Nov; 24(11):2299-309. Frank SA. PMID: 21939465.
    View in: PubMed Mentions: 20 Fields:
  58. Pathology from evolutionary conflict, with a theory of X chromosome versus autosome conflict over sexually antagonistic traits. Proc Natl Acad Sci U S A. 2011 Jun 28; 108 Suppl 2:10886-93. Frank SA, Crespi BJ. PMID: 21690397; PMCID: PMC3131809.
    View in: PubMed Mentions: 27 Fields:
    Translation:HumansAnimals
  59. A simple derivation and classification of common probability distributions based on information symmetry and measurement scale. J Evol Biol. 2011 Mar; 24(3):469-84. Frank SA, Smith E. PMID: 21265914.
    View in: PubMed Mentions: 13 Fields:
  60. Measurement scale in maximum entropy models of species abundance. J Evol Biol. 2011 Mar; 24(3):485-96. Frank SA. PMID: 21265915; PMCID: PMC3078054.
    View in: PubMed Mentions: 7 Fields:
  61. Quantifying interhospital patient sharing as a mechanism for infectious disease spread. Infect Control Hosp Epidemiol. 2010 Nov; 31(11):1160-9. Huang SS, Avery TR, Song Y, Elkins KR, Nguyen CC, Nutter SK, Nafday AA, Condon CJ, Chang MT, Chrest D, Boos J, Bobashev G, Wheaton W, Frank SA, Platt R, Lipsitch M, Bush RM, Eubank S, Burke DS, Lee BY. PMID: 20874503; PMCID: PMC3064463.
    View in: PubMed Mentions: 41 Fields:
    Translation:Humans
  62. Microbial secretor-cheater dynamics. Philos Trans R Soc Lond B Biol Sci. 2010 Aug 27; 365(1552):2515-22. Frank SA. PMID: 20643741; PMCID: PMC2935093.
    View in: PubMed Mentions: 8 Fields:
  63. A general model of the public goods dilemma. J Evol Biol. 2010 Jun 01; 23(6):1245-50. Frank SA. PMID: 20345809; PMCID: PMC2903212.
    View in: PubMed Mentions: 31 Fields:
  64. The trade-off between rate and yield in the design of microbial metabolism. J Evol Biol. 2010 Mar; 23(3):609-13. Frank SA. PMID: 20487133.
    View in: PubMed Mentions: 24 Fields:
  65. Demography and the tragedy of the commons. J Evol Biol. 2010 Jan; 23(1):32-9. Frank SA. PMID: 19912449; PMCID: PMC2824433.
    View in: PubMed Mentions: 15 Fields:
  66. Evolution in health and medicine Sackler colloquium: Somatic evolutionary genomics: mutations during development cause highly variable genetic mosaicism with risk of cancer and neurodegeneration. Proc Natl Acad Sci U S A. 2010 Jan 26; 107 Suppl 1:1725-30. Frank SA. PMID: 19805033; PMCID: PMC2868288.
    View in: PubMed Mentions: 87 Fields:
    Translation:Humans
  67. The common patterns of nature. J Evol Biol. 2009 Aug; 22(8):1563-85. Frank SA. PMID: 19538344; PMCID: PMC2824446.
    View in: PubMed Mentions: 55 Fields:
  68. Natural selection maximizes Fisher information. J Evol Biol. 2009 Feb; 22(2):231-44. Frank SA. PMID: 19032501.
    View in: PubMed Mentions: 25 Fields:
    Translation:Animals
  69. Evolutionary dynamics of redundant regulatory control. J Theor Biol. 2008 Nov 07; 255(1):64-8. Frank SA. PMID: 18723030; PMCID: PMC2642964.
    View in: PubMed Mentions: 1 Fields:
    Translation:AnimalsCells
  70. Mechanisms of pathogenesis and the evolution of parasite virulence. J Evol Biol. 2008 Mar; 21(2):396-404. Frank SA, Schmid-Hempel P. PMID: 18179516.
    View in: PubMed Mentions: 49 Fields:
    Translation:Animals
  71. Barriers to antigenic escape by pathogens: trade-off between reproductive rate and antigenic mutability. BMC Evol Biol. 2007 Nov 15; 7:229. Frank SA, Bush RM. PMID: 18005440; PMCID: PMC2217548.
    View in: PubMed Mentions: 13 Fields:
    Translation:Cells
  72. Pathogenesis, virulence, and infective dose. PLoS Pathog. 2007 Oct 26; 3(10):1372-3. Schmid-Hempel P, Frank SA. PMID: 17967057; PMCID: PMC2042013.
    View in: PubMed Mentions: 78 Fields:
    Translation:HumansAnimalsCells
  73. Maladaptation and the paradox of robustness in evolution. PLoS One. 2007 Oct 10; 2(10):e1021. Frank SA. PMID: 17925869; PMCID: PMC2000348.
    View in: PubMed Mentions: 24 Fields:
    Translation:Animals
  74. All of life is social. Curr Biol. 2007 Aug 21; 17(16):R648-50. Frank SA. PMID: 17714656.
    View in: PubMed Mentions: 20 Fields:
    Translation:HumansAnimalsCells
  75. Pathogen escape from host immunity by a genome program for antigenic variation. Proc Natl Acad Sci U S A. 2006 Nov 28; 103(48):18290-5. Barbour AG, Dai Q, Restrepo BI, Stoenner HG, Frank SA. PMID: 17101971; PMCID: PMC1635980.
    View in: PubMed Mentions: 61 Fields:
    Translation:AnimalsCells
  76. Within-host dynamics of antigenic variation. Infect Genet Evol. 2006 Mar; 6(2):141-6. Frank SA, Barbour AG. PMID: 16461018.
    View in: PubMed Mentions: 22 Fields:
    Translation:AnimalsCells
  77. Kinetics of cancer: a method to test hypotheses of genetic causation. BMC Cancer. 2005 Dec 21; 5:163. Frank SA, Chen PC, Lipkin SM. PMID: 16371164; PMCID: PMC1352380.
    View in: PubMed Mentions: 2 Fields:
    Translation:AnimalsCells
  78. Age-specific incidence of inherited versus sporadic cancers: a test of the multistage theory of carcinogenesis. Proc Natl Acad Sci U S A. 2005 Jan 25; 102(4):1071-5. Frank SA. PMID: 15657129; PMCID: PMC545832.
    View in: PubMed Mentions: 18 Fields:
    Translation:Humans
  79. Inheritance of cancer. Discov Med. 2004 Dec; 4(24):396-400. Frank SA. PMID: 20704938.
    View in: PubMed Mentions: 2 Fields:
  80. Genetic predisposition to cancer - insights from population genetics. Nat Rev Genet. 2004 Oct; 5(10):764-72. Frank SA. PMID: 15510167.
    View in: PubMed Mentions: 43 Fields:
    Translation:Cells
  81. Commentary: Mathematical models of cancer progression and epidemiology in the age of high throughput genomics. Int J Epidemiol. 2004 Dec; 33(6):1179-81. Frank SA. PMID: 15319407.
    View in: PubMed Mentions: 3 Fields:
    Translation:Humans
  82. A multistage theory of age-specific acceleration in human mortality. BMC Biol. 2004 Jul 08; 2:16. Frank SA. PMID: 15242520; PMCID: PMC471577.
    View in: PubMed Mentions: 6 Fields:
    Translation:Humans
  83. Somatic mutation of p53 leads to estrogen receptor alpha-positive and -negative mouse mammary tumors with high frequency of metastasis. Cancer Res. 2004 May 15; 64(10):3525-32. Lin SC, Lee KF, Nikitin AY, Hilsenbeck SG, Cardiff RD, Li A, Kang KW, Frank SA, Lee WH, Lee EY. PMID: 15150107.
    View in: PubMed Mentions: 58 Fields:
    Translation:AnimalsCells
  84. Genetic variation in cancer predisposition: mutational decay of a robust genetic control network. Proc Natl Acad Sci U S A. 2004 May 25; 101(21):8061-5. Frank SA. PMID: 15141087; PMCID: PMC419557.
    View in: PubMed Mentions: 11 Fields:
    Translation:Humans
  85. Problems of somatic mutation and cancer. Bioessays. 2004 Mar; 26(3):291-9. Frank SA, Nowak MA. PMID: 14988930.
    View in: PubMed Mentions: 38 Fields:
    Translation:HumansCells
  86. Evolution and immunology of infectious diseases: what's new? An E-debate. Infect Genet Evol. 2004 Mar; 4(1):69-75. André JB, Gupta S, Frank S, Tibayrenc M. PMID: 15019592.
    View in: PubMed Mentions: Fields:
    Translation:HumansAnimals
  87. Age-specific acceleration of cancer. Curr Biol. 2004 Feb 03; 14(3):242-6. Frank SA. PMID: 14761658.
    View in: PubMed Mentions: 21 Fields:
    Translation:Humans
  88. Somatic selection for and against cancer. J Theor Biol. 2003 Dec 07; 225(3):377-82. Michor F, Frank SA, May RM, Iwasa Y, Nowak MA. PMID: 14604590.
    View in: PubMed Mentions: 20 Fields:
    Translation:Animals
  89. Stochastic elimination of cancer cells. Proc Biol Sci. 2003 Oct 07; 270(1528):2017-24. Michor F, Nowak MA, Frank SA, Iwasa Y. PMID: 14561289; PMCID: PMC1691466.
    View in: PubMed Mentions: 19 Fields:
    Translation:AnimalsCells
  90. Viral genetics: deadly partnerships. Nature. 2003 Sep 18; 425(6955):251-2. Frank SA. PMID: 13679903.
    View in: PubMed Mentions: 4 Fields:
    Translation:AnimalsCells
  91. Somatic mosaicism and cancer: inference based on a conditional Luria-Delbrück distribution. J Theor Biol. 2003 Aug 21; 223(4):405-12. Frank SA. PMID: 12875820.
    View in: PubMed Mentions: 14 Fields:
    Translation:Humans
  92. Cell biology: Developmental predisposition to cancer. Nature. 2003 Apr 03; 422(6931):494. Frank SA, Nowak MA. PMID: 12673242.
    View in: PubMed Mentions: 35 Fields:
    Translation:HumansAnimalsCells
  93. Somatic mutation: early cancer steps depend on tissue architecture. Curr Biol. 2003 Apr 01; 13(7):R261-3. Frank SA. PMID: 12676101.
    View in: PubMed Mentions: 6 Fields:
    Translation:Cells
  94. Perspective: repression of competition and the evolution of cooperation. Evolution. 2003 Apr; 57(4):693-705. Frank SA. PMID: 12778541.
    View in: PubMed Mentions: 85 Fields:
    Translation:Animals
  95. Patterns of cell division and the risk of cancer. Genetics. 2003 Apr; 163(4):1527-32. Frank SA, Iwasa Y, Nowak MA. PMID: 12702695; PMCID: PMC1462514.
    View in: PubMed Mentions: 23 Fields:
    Translation:Cells
  96. Programmed cell death and hybrid incompatibility. J Hered. 2003 Mar-Apr; 94(2):181-3. Frank SA, Barr CM. PMID: 12721231.
    View in: PubMed Mentions: 2 Fields:
    Translation:AnimalsCells
  97. Genetic variation of polygenic characters and the evolution of genetic degeneracy. J Evol Biol. 2003 Jan; 16(1):138-42. Frank SA. PMID: 14635888.
    View in: PubMed Mentions: 11 Fields:
  98. Immune response to parasitic attack: evolution of a pulsed character. J Theor Biol. 2002 Dec 07; 219(3):281-90. Frank SA. PMID: 12419657.
    View in: PubMed Mentions: 13 Fields:
    Translation:Humans
  99. Multiplicity of infection and the evolution of hybrid incompatibility in segmented viruses. Heredity (Edinb). 2001 Nov; 87(Pt 5):522-9. Frank SA. PMID: 11869342.
    View in: PubMed Mentions: 18 Fields:
    Translation:Cells
  100. The probability of severe disease in zoonotic and commensal infections. Proc Biol Sci. 2001 Jan 07; 268(1462):53-60. Frank SA, Jeffrey JS. PMID: 12123298; PMCID: PMC1087600.
    View in: PubMed Mentions: 2 Fields:
    Translation:HumansAnimalsCellsPHPublic Health
  101. Within-host spatial dynamics of viruses and defective interfering particles. J Theor Biol. 2000 Sep 21; 206(2):279-90. Frank SA. PMID: 10966764.
    View in: PubMed Mentions: 27 Fields:
    Translation:Cells
  102. Specific and non-specific defense against parasitic attack. J Theor Biol. 2000 Feb 21; 202(4):283-304. Frank SA. PMID: 10666361.
    View in: PubMed Mentions: 18 Fields:
    Translation:Animals
  103. A model for the sequential dominance of antigenic variants in African trypanosome infections. Proc Biol Sci. 1999 Jul 07; 266(1426):1397-401. Frank SA. PMID: 10445294; PMCID: PMC1690072.
    View in: PubMed Mentions: 14 Fields:
    Translation:AnimalsCells
  104. Population and quantitative genetics of regulatory networks. J Theor Biol. 1999 Apr 07; 197(3):281-94. Frank SA. PMID: 10089143.
    View in: PubMed Mentions: 15 Fields:
    Translation:Animals
  105. Inducible defence and the social evolution of herd immunity. Proc Biol Sci. 1998 Oct 07; 265(1408):1911-3. Frank SA. PMID: 9802245; PMCID: PMC1689380.
    View in: PubMed Mentions: 4 Fields:
    Translation:HumansAnimals
  106. Multivariate analysis of correlated selection and kin selection, with an ESS maximization method. J Theor Biol. 1997 Dec 07; 189(3):307-16. Frank SA. PMID: 9441823.
    View in: PubMed Mentions: 18 Fields:
    Translation:Animals
  107. THE PRICE EQUATION, FISHER'S FUNDAMENTAL THEOREM, KIN SELECTION, AND CAUSAL ANALYSIS. Evolution. 1997 Dec; 51(6):1712-1729. Frank SA. PMID: 28565119.
    View in: PubMed Mentions: 43 Fields:
  108. Models of symbiosis. Am Nat. 1997 Jul; 150 Suppl 1:S80-99. Frank SA. PMID: 18811314.
    View in: PubMed Mentions: 35 Fields:
  109. Cytoplasmic Incompatibility and Population Structure. J Theor Biol. 1997 Feb 07; 184(3):327-330. Frank SA. PMID: 31940742.
    View in: PubMed Mentions: 11 Fields:
  110. The design of adaptive systems: optimal parameters for variation and selection in learning and development. J Theor Biol. 1997 Jan 07; 184(1):31-9. Frank SA. PMID: 9039398.
    View in: PubMed Mentions: 5 Fields:
    Translation:Animals
  111. Developmental selection and self-organization. Biosystems. 1997; 40(3):237-43. Frank SA. PMID: 9116186.
    View in: PubMed Mentions: 3 Fields:
  112. How to make a kin selection model. J Theor Biol. 1996 May 07; 180(1):27-37. Taylor PD, Frank SA. PMID: 8763356.
    View in: PubMed Mentions: 159 Fields:
    Translation:Animals
  113. Host-symbiont conflict over the mixing of symbiotic lineages. Proc Biol Sci. 1996 Mar 22; 263(1368):339-44. Frank SA. PMID: 8920255.
    View in: PubMed Mentions: 86 Fields:
    Translation:AnimalsCells
  114. Models of parasite virulence. Q Rev Biol. 1996 Mar; 71(1):37-78. Frank SA. PMID: 8919665.
  115. Mutual policing and repression of competition in the evolution of cooperative groups. Nature. 1995 Oct 12; 377(6549):520-2. Frank SA. PMID: 7566147.
    View in: PubMed Mentions: 83 Fields:
  116. The origin of synergistic symbiosis. J Theor Biol. 1995 Oct 07; 176(3):403-10. Frank SA. PMID: 8538218.
    View in: PubMed Mentions: 10 Fields:
    Translation:Animals
  117. George Price's contributions to evolutionary genetics. J Theor Biol. 1995 Aug 07; 175(3):373-88. Frank SA. PMID: 7475081.
    View in: PubMed Mentions: 35 Fields:
    Translation:Animals
  118. Recognition and polymorphism in host-parasite genetics. Philos Trans R Soc Lond B Biol Sci. 1994 Nov 29; 346(1317):283-93. Frank SA. PMID: 7708825.
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    Translation:Animals
  119. Kin selection and virulence in the evolution of protocells and parasites. Proc Biol Sci. 1994 Nov 22; 258(1352):153-61. Frank SA. PMID: 7838853.
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    Translation:Animals
  120. Genetics of mutualism: the evolution of altruism between species. J Theor Biol. 1994 Oct 21; 170(4):393-400. Frank SA. PMID: 7996864.
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    Translation:Animals
  121. POLYMORPHISM OF BACTERIAL RESTRICTION-MODIFICATION SYSTEMS: THE ADVANTAGE OF DIVERSITY. Evolution. 1994 Oct; 48(5):1470-1477. Frank SA. PMID: 28568408.
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  122. Specificity versus detectable polymorphism in host-parasite genetics. Proc Biol Sci. 1993 Dec 22; 254(1341):191-7. Frank SA. PMID: 8108452.
    View in: PubMed Mentions: 30 Fields:
    Translation:Animals
  123. EVOLUTION OF HOST-PARASITE DIVERSITY. Evolution. 1993 Dec; 47(6):1721-1732. Frank SA. PMID: 28568005.
    View in: PubMed Mentions: 14 Fields:
  124. A MODEL OF INDUCIBLE DEFENSE. Evolution. 1993 Feb; 47(1):325-327. Frank SA. PMID: 28568088.
    View in: PubMed Mentions: 9 Fields:
  125. A kin selection model for the evolution of virulence. Proc Biol Sci. 1992 Dec 22; 250(1329):195-7. Frank SA. PMID: 1362989.
    View in: PubMed Mentions: 51 Fields:
    Translation:HumansAnimals
  126. Models of plant-pathogen coevolution. Trends Genet. 1992 Jun; 8(6):213-9. Frank SA. PMID: 1496557.
    View in: PubMed Mentions: 36 Fields:
    Translation:Animals
  127. Fisher's fundamental theorem of natural selection. Trends Ecol Evol. 1992 Mar; 7(3):92-5. Frank SA, Slatkin M. PMID: 21235964.
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  128. HALDANE'S RULE: A DEFENSE OF THE MEIOTIC DRIVE THEORY. Evolution. 1991 Nov; 45(7):1714-1717. Frank SA. PMID: 28564136.
    View in: PubMed Mentions: 9 Fields:
  129. Ecological and genetic models of host-pathogen coevolution. Heredity (Edinb). 1991 Aug; 67 ( Pt 1):73-83. Frank SA. PMID: 1917553.
    View in: PubMed Mentions: 14 Fields:
    Translation:Animals
  130. DIVERGENCE OF MEIOTIC DRIVE-SUPPRESSION SYSTEMS AS AN EXPLANATION FOR SEX-BIASED HYBRID STERILITY AND INVIABILITY. Evolution. 1991 Mar; 45(2):262-267. Frank SA. PMID: 28567880.
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  131. When to copy or avoid an opponent's strategy. J Theor Biol. 1990 Jul 09; 145(1):41-6. Frank SA. PMID: 2214807.
    View in: PubMed Mentions: 2 Fields:
    Translation:HumansAnimals
  132. The quantitative genetic consequences of pleiotropy under stabilizing and directional selection. Genetics. 1990 May; 125(1):207-13. Slatkin M, Frank SA. PMID: 2341033; PMCID: PMC1204004.
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  133. The distribution of allelic effects under mutation and selection. Genet Res. 1990 Apr; 55(2):111-7. Frank SA, Slatkin M. PMID: 2370007.
    View in: PubMed Mentions: 7 Fields:
  134. DEMOGRAPHY AND SEX RATIO IN SOCIAL SPIDERS. Evolution. 1987 Nov; 41(6):1267-1281. Frank SA. PMID: 28563609.
    View in: PubMed Mentions: 8 Fields:
  135. The genetic value of sons and daughters. Heredity (Edinb). 1986 Jun; 56 ( Pt 3):351-4. Frank SA. PMID: 3733459.
    View in: PubMed Mentions: 14 Fields:
    Translation:Animals
  136. Hierarchical selection theory and sex ratios. I. General solutions for structured populations. Theor Popul Biol. 1986 Jun; 29(3):312-42. Frank SA. PMID: 3738836.
    View in: PubMed Mentions: 29 Fields:
    Translation:Animals
  137. HIERARCHICAL SELECTION THEORY AND SEX RATIOS. II. ON APPLYING THE THEORY, AND A TEST WITH FIG WASPS. Evolution. 1985 Sep; 39(5):949-964. Frank SA. PMID: 28561492.
    View in: PubMed Mentions: 29 Fields:

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