335
Views
19
CrossRef citations to date
0
Altmetric
Articles

Dynamic Models of Biological Pattern Formation Have Surprising Implications for Understanding the Epigenetics of Development

REFERENCES

  • Birkhoff , G. 1931 . Proof of the ergodic theorem . Proceedings of the National Academy of Sciences USA , 17 : 656 – 660 .
  • Cattell , R. B. 1952 . The three basic factor-analytic designs – Their interrelations and derivatives . Psychological Bulletin , 49 : 499 – 520 .
  • Charney , E. 2012 . Behavior genetics and postgenomics . Behavioral and Brain Sciences , 35 : 331 – 410 .
  • Gates , K. M. and Molenaar , P. C. M. 2012 . Group search algorithm recovers effective connectivity maps for individuals in homogeneous and heterogeneous samples . NeuroImage , 63 : 310 – 319 .
  • Gierer , A. and Meinhardt , H. 1972 . A theory of biological pattern formation . Kybernetik , 12 : 30 – 39 .
  • Gottlieb , G. 1992 . Individual development and evolution: The genesis of novel behavior , New York , NY : Oxford University Press .
  • Hamaker , E. L. , Nesselroade , J. R. and Molenaar , P. C. M. 2007 . The integrated state-space model . Journal of Research in Personality , 41 : 295 – 315 .
  • Harrison , L. G. 2010 . The shaping of life: The generation of biological pattern , Cambridge , UK : Cambridge University Press .
  • Jablonka , E. and Lamb , M. J. 2005 . Evolution in four dimensions: Genetic, epigenetic, behavioral and symbolic variation in the history of life , Cambridge , MA : MIT Press .
  • Kan , K. J. , Ploeger , A. , Raijmakers , M. E. J. , Dolan , C. V. and van der Maas , H. L. J. 2010 . Nonlinear epigenetic variance: Review and simulations . Developmental Science , 13 : 11 – 27 .
  • Kelderman , H. and Molenaar , P. C. M. 2007 . The effect of individual differences in factor loadings on the standard factor model . Multivariate Behavioral Research , 42 : 435 – 456 .
  • Krengel , U. 1985 . Ergodic theorems , Berlin , Germany : de Gruyter .
  • Martin , N. G. and Eaves , L. J. 1977 . The genetic analysis of covariance structures . Heredity , 38 : 79 – 93 .
  • McLachlan , J. C. 1999 . “ Developmental morphologies not directly specified by the genome of the individual ” . In On growth and form: Spatio-temporal pattern formation in biology , Edited by: Chaplain , M. A. J. , Singh , G. D. and McLachlan , J. C. 157 – 172 . Chichester , UK : Wiley . InEds.pp.
  • Meinhardt , H. 1982 . Models of biological pattern formation , London , UK : Academic Press .
  • Molenaar , P. C. M. 2004 . A manifesto on psychology as idiographic science: Bringing the person back into scientific psychology, this time forever . Measurement: Interdisciplinary Research and Perspectives , 2 : 201 – 218 .
  • Molenaar , P. C. M. 2007 . On the implications of the classical ergodic theorems: Analysis of developmental processes has to focus on intra-individual variation . Developmental Psychobiology , 50 : 60 – 69 .
  • Molenaar , P. C. M. 2008 . “ Consequences of the ergodic theorems for classical test theory, factor analysis, and the analysis of developmental processes ” . In Handbook of cognitive aging , Edited by: Hofer , S. M. and Alwin , D. F. 90 – 104 . Thousand Oaks , CA : Sage . InEds.pp.
  • Molenaar , P. C. M. 2010 . “ On the limits of standard quantitative genetic modeling of inter-individual variation: Extensions, ergodic conditions and a new genetic factor model of intra-individual variation ” . In Handbook of developmental science, behavior, and genetics , Edited by: Hood , K. E. , Halpern , C. T. , Greenberg , G. and Lerner , R. M. 626 – 648 . Malden , MA : Blackwell . InEds.pp.
  • Molenaar , P. C. M. 2012 . Estimating the actual subject-specific genetic correlations in behavior genetics . Behavioral and Brain Sciences , 35 : 43 – 44 .
  • Molenaar , P. C. M. , Boomsma , D. I. and Dolan , C. V. 1993 . A third source of developmental differences . Behavior Genetics , 23 : 519 – 524 .
  • Molenaar , P. C. M. and Raijmakers , M. E. J. 1999 . Additional aspects of third source variation for the genetic analysis of human development and behavior . Twin Research , 2 : 49 – 52 .
  • Molenaar , P. C. M. , Smit , D. J. A. , Boomsma , D. I. and Nesselroade , J. R. 2012 . Estimation of subject-specific heritabilities from intra-individual variation: iFACE . Twin Research and Human Genetics , 15 : 393 – 400 .
  • Murray , J. D. 2002 . Mathematical biology II , 3rd ed , New York , NY : Springer Verlag .
  • Nesselroade , J. R. and Ford , D. H. 1987 . “ Methodological considerations in modeling living systems ” . In Humans as self-constructing living systems: Putting the framework to work , Edited by: Ford , M. E. and Ford , D. H. 47 – 79 . Hillsdale , NJ : Lawrence Erlbaum Associates . InEds.pp.
  • Nesselroade , J. R. , Gerstorf , D. , Hardy , S. A. and Ram , N. 2007 . Idiographic filters for psychological constructs . Measurement: Interdisciplinary Research and Perspectives , 5 : 217 – 235 .
  • Nesselroade , J. R. and Molenaar , P. C. M. 2010 . Analyzing intra-person variation: Hybridizing the ACE model with P-technique factor analysis and the idiographic filter . Behavior Genetics , 40 : 776 – 783 .
  • Ram , N. and Nesselroade , J. R. 2007 . “ Modeling intraindividual and intracontextual change: Rendering developmental context operational. In ” . In Modeling contextual effects in longitudinal studies , Edited by: Little , T. D. , Bouvaird , J. A. and Card , N. A. 325 – 342 . Mahwah , NJ : Lawrence Erlbaum Associates .
  • Thompson , D. W. 1917 . On growth and form , Cambridge , UK : Cambridge University Press .
  • Turing , A. M. 1952 . “ The chemical basis of morphogenesis ” . In Philosophical Transactions of the Royal Society London, B237 37 – 72 .
  • van der Maas , H. L. J. and Molenaar , P. C. M. 1992 . Stagewise cognitive development: An application of catastrophe theory . Psychological Review , 99 : 395 – 417 .
  • Wohlwill , J. F. 1973 . The study of behavioral development , New York , NY : Academic Press .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.