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Two principles of success. Proc Natl Acad Sci U S A. 2024 Oct; 121(40):e2417410121.
Frank SA. PMID: 39298476; PMCID: PMC11459153.
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PubMed Mentions: Fields:
-
The origin of novel traits in cancer. Trends Cancer. 2024 Oct; 10(10):880-892.
Frank SA, Yanai I. PMID: 39112299.
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PubMed Mentions:
1 Fields:
Translation:
HumansAnimals
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A biological circuit to anticipate trend. Evol Lett. 2024 Sep; 8(5):719-725.
Frank SA. PMID: 39328288; PMCID: PMC11424073.
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PubMed Mentions:
-
Robustness and complexity. Cell Syst. 2023 12 20; 14(12):1015-1020.
Frank SA. PMID: 38128480.
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PubMed Mentions:
2 Fields:
-
Disease from opposing forces in regulatory control. Evol Med Public Health. 2023; 11(1):348-352.
Frank SA. PMID: 37868077; PMCID: PMC10590154.
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PubMed Mentions:
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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.
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PubMed Mentions:
2
-
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:
2 Fields:
Translation:
Humans
-
Evolutionary explanations for heterogeneous behavior in clonal bacterial populations. Trends Microbiol. 2023 07; 31(7):665-667.
Kümmerli R, Frank SA. PMID: 37117073.
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PubMed Mentions:
1 Fields:
Translation:
Cells
-
Optimizing differential equations to fit data and predict outcomes. Ecol Evol. 2023 Mar; 13(3):e9895.
Frank SA. PMID: 36950372; PMCID: PMC10025256.
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PubMed Mentions:
3
-
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:
-
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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PubMed Mentions: Fields:
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Optimization of Transcription Factor Genetic Circuits. Biology (Basel). 2022 Aug 31; 11(9).
Frank SA. PMID: 36138773; PMCID: PMC9495410.
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PubMed Mentions:
2
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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.
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PubMed Mentions:
3
-
Developmental Mutators and Early Onset Cancer. Front Pediatr. 2020; 8:189.
Kentsis A, Frank SA. PMID: 32411637; PMCID: PMC7198762.
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PubMed Mentions:
2
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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:
3 Fields:
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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
-
Invariance in ecological pattern. F1000Res. 2019; 8:2093.
Frank SA, Bascompte J. PMID: 32089829; PMCID: PMC7008606.
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PubMed Mentions:
3 Fields:
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Evolution of negative immune regulators. PLoS Pathog. 2019 08; 15(8):e1007913.
Frank SA, Schmid-Hempel P. PMID: 31369644; PMCID: PMC6675038.
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PubMed Mentions:
5 Fields:
Translation:
HumansAnimals
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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.
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PubMed Mentions:
1
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The common patterns of abundance: the log series and Zipf's law. F1000Res. 2019; 8:334.
Frank SA. PMID: 31069071; PMCID: PMC6480937.
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PubMed Mentions:
2 Fields:
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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:
6 Fields:
-
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:
3 Fields:
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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:
10
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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
-
A biochemical logarithmic sensor with broad dynamic range. F1000Res. 2018; 7:200.
Frank SA. PMID: 29938108; PMCID: PMC5897783.
View in:
PubMed Mentions:
1 Fields:
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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:
2
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Puzzles in modern biology. V. Why are genomes overwired? F1000Res. 2017; 6:924.
Frank SA. PMID: 28928947; PMCID: PMC5580404.
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PubMed Mentions:
2 Fields:
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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:
10
-
Age-specific acceleration in malignant melanoma. F1000Res. 2017; 6:27.
Diffey BL, Frank SA. PMID: 28435664; PMCID: PMC5381631.
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PubMed Mentions:
1 Fields:
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Puzzles in modern biology. IV. Neurodegeneration, localized origin and widespread decay. F1000Res. 2016; 5:2537.
Frank SA. PMID: 28184284; PMCID: PMC5288670.
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PubMed Mentions: Fields:
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Puzzles in modern biology. III. Two kinds of causality in age-related disease. F1000Res. 2016; 5:2533.
Frank SA. PMID: 28184283.
View in:
PubMed Mentions:
1 Fields:
-
Puzzles in modern biology. I. Male sterility, failure reveals design. F1000Res. 2016; 5:2288.
Frank SA. PMID: 28004842; PMCID: PMC5147525.
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PubMed Mentions:
1 Fields:
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Puzzles in modern biology. II. Language, cancer and the recursive processes of evolutionary innovation. F1000Res. 2016; 5:2289.
Frank SA. PMID: 28184282; PMCID: PMC5288677.
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PubMed Mentions: Fields:
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Invariant death. F1000Res. 2016; 5:2076.
Frank SA. PMID: 27785361; PMCID: PMC5063037.
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PubMed Mentions:
3 Fields:
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The invariances of power law size distributions. F1000Res. 2016; 5:2074.
Frank SA. PMID: 27928497; PMCID: PMC5115223.
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PubMed Mentions:
4 Fields:
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Commentary: The nature of cancer research. Int J Epidemiol. 2016 06; 45(3):638-45.
Frank SA. PMID: 26659657.
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PubMed Mentions:
2 Fields:
Translation:
Humans
-
Somatic mosaicism and disease. Curr Biol. 2014 Jun 16; 24(12):R577-R581.
Frank SA. PMID: 24937287.
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PubMed Mentions:
24 Fields:
Translation:
Humans
-
Generative models versus underlying symmetries to explain biological pattern. J Evol Biol. 2014 Jun; 27(6):1172-8.
Frank SA. PMID: 24750332.
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PubMed Mentions:
9 Fields:
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Microbial metabolism: optimal control of uptake versus synthesis. PeerJ. 2014; 2:e267.
Frank SA. PMID: 24795846; PMCID: PMC3940620.
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PubMed Mentions:
3 Fields:
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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:
31 Fields:
Translation:
Cells
-
Evolution of robustness and cellular stochasticity of gene expression. PLoS Biol. 2013; 11(6):e1001578.
Frank SA. PMID: 23776403; PMCID: PMC3678995.
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PubMed Mentions:
9 Fields:
Translation:
HumansAnimalsCells
-
Natural selection. VII. History and interpretation of kin selection theory. J Evol Biol. 2013 Jun; 26(6):1151-84.
Frank SA. PMID: 23662923.
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PubMed Mentions:
32 Fields:
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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
-
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:
5 Fields:
Translation:
Animals
-
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.
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PubMed Mentions:
34 Fields:
-
Evolution: mitochondrial burden on male health. Curr Biol. 2012 Sep 25; 22(18):R797-9.
Frank SA. PMID: 23017992.
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PubMed Mentions:
10 Fields:
Translation:
AnimalsCells
-
Natural selection. IV. The Price equation. J Evol Biol. 2012 Jun; 25(6):1002-19.
Frank SA. PMID: 22487312; PMCID: PMC3354028.
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PubMed Mentions:
36 Fields:
Translation:
Animals
-
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:
37 Fields:
Translation:
Humans
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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.
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PubMed Mentions:
22 Fields:
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Natural selection. II. Developmental variability and evolutionary rate. J Evol Biol. 2011 Nov; 24(11):2310-20.
Frank SA. PMID: 21939464.
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PubMed Mentions:
23 Fields:
-
Natural selection. I. Variable environments and uncertain returns on investment. J Evol Biol. 2011 Nov; 24(11):2299-309.
Frank SA. PMID: 21939465.
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PubMed Mentions:
18 Fields:
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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.
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PubMed Mentions:
25 Fields:
Translation:
HumansAnimals
-
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.
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PubMed Mentions:
12 Fields:
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Measurement scale in maximum entropy models of species abundance. J Evol Biol. 2011 Mar; 24(3):485-96.
Frank SA. PMID: 21265915; PMCID: PMC3078054.
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PubMed Mentions:
7 Fields:
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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:
40 Fields:
Translation:
Humans
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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.
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PubMed Mentions:
8 Fields:
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A general model of the public goods dilemma. J Evol Biol. 2010 Jun 01; 23(6):1245-50.
Frank SA. PMID: 20345809; PMCID: PMC2903212.
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PubMed Mentions:
30 Fields:
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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.
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PubMed Mentions:
21 Fields:
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Demography and the tragedy of the commons. J Evol Biol. 2010 Jan; 23(1):32-9.
Frank SA. PMID: 19912449; PMCID: PMC2824433.
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PubMed Mentions:
15 Fields:
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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:
81 Fields:
Translation:
Humans
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The common patterns of nature. J Evol Biol. 2009 Aug; 22(8):1563-85.
Frank SA. PMID: 19538344; PMCID: PMC2824446.
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PubMed Mentions:
43 Fields:
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Natural selection maximizes Fisher information. J Evol Biol. 2009 Feb; 22(2):231-44.
Frank SA. PMID: 19032501.
View in:
PubMed Mentions:
22 Fields:
Translation:
Animals
-
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
-
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.
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PubMed Mentions:
47 Fields:
Translation:
Animals
-
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.
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PubMed Mentions:
13 Fields:
Translation:
Cells
-
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:
68 Fields:
Translation:
HumansAnimalsCells
-
Maladaptation and the paradox of robustness in evolution. PLoS One. 2007 Oct 10; 2(10):e1021.
Frank SA. PMID: 17925869; PMCID: PMC2000348.
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PubMed Mentions:
25 Fields:
Translation:
Animals
-
All of life is social. Curr Biol. 2007 Aug 21; 17(16):R648-50.
Frank SA. PMID: 17714656.
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PubMed Mentions:
18 Fields:
Translation:
HumansAnimalsCells
-
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.
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PubMed Mentions:
58 Fields:
Translation:
AnimalsCells
-
Within-host dynamics of antigenic variation. Infect Genet Evol. 2006 Mar; 6(2):141-6.
Frank SA, Barbour AG. PMID: 16461018.
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PubMed Mentions:
20 Fields:
Translation:
AnimalsCells
-
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
-
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.
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PubMed Mentions:
17 Fields:
Translation:
Humans
-
Inheritance of cancer. Discov Med. 2004 Dec; 4(24):396-400.
Frank SA. PMID: 20704938.
View in:
PubMed Mentions:
2 Fields:
-
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:
41 Fields:
Translation:
Cells
-
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
-
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
-
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:
56 Fields:
Translation:
AnimalsCells
-
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.
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PubMed Mentions:
10 Fields:
Translation:
Humans
-
Problems of somatic mutation and cancer. Bioessays. 2004 Mar; 26(3):291-9.
Frank SA, Nowak MA. PMID: 14988930.
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PubMed Mentions:
34 Fields:
Translation:
HumansCells
-
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.
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PubMed Mentions: Fields:
Translation:
HumansAnimals
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Age-specific acceleration of cancer. Curr Biol. 2004 Feb 03; 14(3):242-6.
Frank SA. PMID: 14761658.
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PubMed Mentions:
19 Fields:
Translation:
Humans
-
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.
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PubMed Mentions:
19 Fields:
Translation:
Animals
-
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:
18 Fields:
Translation:
AnimalsCells
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Viral genetics: deadly partnerships. Nature. 2003 Sep 18; 425(6955):251-2.
Frank SA. PMID: 13679903.
View in:
PubMed Mentions:
4 Fields:
Translation:
AnimalsCells
-
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:
13 Fields:
Translation:
Humans
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Cell biology: Developmental predisposition to cancer. Nature. 2003 Apr 03; 422(6931):494.
Frank SA, Nowak MA. PMID: 12673242.
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PubMed Mentions:
32 Fields:
Translation:
HumansAnimalsCells
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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
-
Perspective: repression of competition and the evolution of cooperation. Evolution. 2003 Apr; 57(4):693-705.
Frank SA. PMID: 12778541.
View in:
PubMed Mentions:
80 Fields:
Translation:
Animals
-
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.
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PubMed Mentions:
23 Fields:
Translation:
Cells
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Programmed cell death and hybrid incompatibility. J Hered. 2003 Mar-Apr; 94(2):181-3.
Frank SA, Barr CM. PMID: 12721231.
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PubMed Mentions:
2 Fields:
Translation:
AnimalsCells
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Genetic variation of polygenic characters and the evolution of genetic degeneracy. J Evol Biol. 2003 Jan; 16(1):138-42.
Frank SA. PMID: 14635888.
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PubMed Mentions:
11 Fields:
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Immune response to parasitic attack: evolution of a pulsed character. J Theor Biol. 2002 Dec 07; 219(3):281-90.
Frank SA. PMID: 12419657.
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PubMed Mentions:
12 Fields:
Translation:
Humans
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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:
13 Fields:
Translation:
Cells
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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.
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PubMed Mentions: Fields:
Translation:
HumansAnimalsCellsPHPublic Health
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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:
25 Fields:
Translation:
Cells
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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:
17 Fields:
Translation:
Animals
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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.
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PubMed Mentions:
13 Fields:
Translation:
AnimalsCells
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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:
13 Fields:
Translation:
Animals
-
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.
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PubMed Mentions:
4 Fields:
Translation:
HumansAnimals
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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.
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PubMed Mentions:
17 Fields:
Translation:
Animals
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THE PRICE EQUATION, FISHER'S FUNDAMENTAL THEOREM, KIN SELECTION, AND CAUSAL ANALYSIS. Evolution. 1997 Dec; 51(6):1712-1729.
Frank SA. PMID: 28565119.
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PubMed Mentions:
42 Fields:
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Models of symbiosis. Am Nat. 1997 Jul; 150 Suppl 1:S80-99.
Frank SA. PMID: 18811314.
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PubMed Mentions:
33 Fields:
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Cytoplasmic Incompatibility and Population Structure. J Theor Biol. 1997 Feb 07; 184(3):327-330.
Frank SA. PMID: 31940742.
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PubMed Mentions:
11 Fields:
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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.
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PubMed Mentions:
5 Fields:
Translation:
Animals
-
Developmental selection and self-organization. Biosystems. 1997; 40(3):237-43.
Frank SA. PMID: 9116186.
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PubMed Mentions:
3 Fields:
-
How to make a kin selection model. J Theor Biol. 1996 May 07; 180(1):27-37.
Taylor PD, Frank SA. PMID: 8763356.
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PubMed Mentions:
142 Fields:
Translation:
Animals
-
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:
78 Fields:
Translation:
AnimalsCells
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Models of parasite virulence. Q Rev Biol. 1996 Mar; 71(1):37-78.
Frank SA. PMID: 8919665.
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Mutual policing and repression of competition in the evolution of cooperative groups. Nature. 1995 Oct 12; 377(6549):520-2.
Frank SA. PMID: 7566147.
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80 Fields:
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The origin of synergistic symbiosis. J Theor Biol. 1995 Oct 07; 176(3):403-10.
Frank SA. PMID: 8538218.
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PubMed Mentions:
9 Fields:
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Animals
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George Price's contributions to evolutionary genetics. J Theor Biol. 1995 Aug 07; 175(3):373-88.
Frank SA. PMID: 7475081.
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PubMed Mentions:
31 Fields:
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Animals
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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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PubMed Mentions:
22 Fields:
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Animals
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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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PubMed Mentions:
38 Fields:
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Animals
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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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PubMed Mentions:
47 Fields:
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Animals
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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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6 Fields:
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Specificity versus detectable polymorphism in host-parasite genetics. Proc Biol Sci. 1993 Dec 22; 254(1341):191-7.
Frank SA. PMID: 8108452.
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PubMed Mentions:
29 Fields:
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Animals
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EVOLUTION OF HOST-PARASITE DIVERSITY. Evolution. 1993 Dec; 47(6):1721-1732.
Frank SA. PMID: 28568005.
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13 Fields:
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A MODEL OF INDUCIBLE DEFENSE. Evolution. 1993 Feb; 47(1):325-327.
Frank SA. PMID: 28568088.
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9 Fields:
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A kin selection model for the evolution of virulence. Proc Biol Sci. 1992 Dec 22; 250(1329):195-7.
Frank SA. PMID: 1362989.
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PubMed Mentions:
48 Fields:
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HumansAnimals
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Models of plant-pathogen coevolution. Trends Genet. 1992 Jun; 8(6):213-9.
Frank SA. PMID: 1496557.
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PubMed Mentions:
35 Fields:
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Animals
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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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38 Fields:
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HALDANE'S RULE: A DEFENSE OF THE MEIOTIC DRIVE THEORY. Evolution. 1991 Nov; 45(7):1714-1717.
Frank SA. PMID: 28564136.
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8 Fields:
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Ecological and genetic models of host-pathogen coevolution. Heredity (Edinb). 1991 Aug; 67 ( Pt 1):73-83.
Frank SA. PMID: 1917553.
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PubMed Mentions:
14 Fields:
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Animals
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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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PubMed Mentions:
99 Fields:
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When to copy or avoid an opponent's strategy. J Theor Biol. 1990 Jul 09; 145(1):41-6.
Frank SA. PMID: 2214807.
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PubMed Mentions:
1 Fields:
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HumansAnimals
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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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13 Fields:
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The distribution of allelic effects under mutation and selection. Genet Res. 1990 Apr; 55(2):111-7.
Frank SA, Slatkin M. PMID: 2370007.
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PubMed Mentions:
7 Fields:
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DEMOGRAPHY AND SEX RATIO IN SOCIAL SPIDERS. Evolution. 1987 Nov; 41(6):1267-1281.
Frank SA. PMID: 28563609.
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7 Fields:
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The genetic value of sons and daughters. Heredity (Edinb). 1986 Jun; 56 ( Pt 3):351-4.
Frank SA. PMID: 3733459.
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PubMed Mentions:
12 Fields:
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Animals
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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.
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PubMed Mentions:
22 Fields:
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Animals
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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.
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PubMed Mentions:
22 Fields: