References
- Amundson, Ron. 2005. The Changing Role of the Embryo in Evolutionary Thought: Roots of Evo-Devo. Cambridge MA: Cambridge University Press.10.1017/CBO9781139164856
- Baker, Alan. 2005. Are there genuine mathematical explanations of physical phenomena? Mind 114 (454): 223–38.10.1093/mind/fzi223
- Baker, Alan. 2009. Mathematical explanation in science. British Journal for the Philosophy of Science 60 (3): 611–33.10.1093/bjps/axp025
- Batterman, Robert. 2002. Asymptotics and the role of minimal models. British Journal for the Philosophy of Science 53 (1): 21–38.10.1093/bjps/53.1.21
- Baron, Sam; and Colyvan, Mark. 2016. Time enough for explanation. Journal of Philosophy 113(2): 61–88.10.5840/jphil201611324
- Bechtel, William P.; and Abrahamsen, Adele. 2010. Dynamic mechanistic explanation: computational modeling of circadian rhythms as an exemplar for cognitive science. Studies in History and Philosophy of Science Part A 41(3): 321–33.10.1016/j.shpsa.2010.07.003
- Bechtel, Wiliam P.; and Richardson, Robert C. 2010. Discovering Complexity Decomposition and Localization as Strategies in Scientific Research. 2nd edition. Cambridge MA: MIT Press.10.7551/mitpress/8328.001.0001
- Bechtel, William P. 2015. Can mechanistic explanation be reconciled with scale-free constitution and dynamics? Studies in History and Philosophy of Science Part C: Studies in History and Philosophy of Biological and Biomedical Sciences 53: 84–93.10.1016/j.shpsc.2015.03.006
- Bourgine, Paul; and Lesne, Annick. 2006. Morphogenesis: Origins of Patterns and Shapes. Berlin: Springer Verlag.
- Brigandt, Ingo. 2010. Beyond reduction and pluralism: Toward an epistemology of explanatory integration in biology. Erkenntnis 73 (3):295-311.10.1007/s10670-010-9233-3
- Brigandt, Ingo. 2013. Systems biology and the integration of mechanistic explanation and mathematical explanation. Studies in History and Philosophy of Biological and Biomedical Sciences 44(4): 477–92.10.1016/j.shpsc.2013.06.002
- Cooper, S. Barry; and Maini, Philip K. 2012. The mathematics of nature at the Alan Turing centenary. Interface Focus 2: 393–6.10.1098/rsfs.2012.0018
- Craver, Carl F.; and Darden, Lindley. 2013. In Search of Mechanisms: Discoveries across the life sciences. Chicago: University of Chicago Press.10.7208/chicago/9780226039824.001.0001
- Dilão, Rui. 2015. Mathematical models of morphogenesis. ITM Web of Conferences 4.10.1051/itmconf/20150401001
- Dretske, Fred. 1988. Explaining Behavior: Reasons in a World of Causes. Cambridge MA: MIT Press.
- Economou, Andrew et al. 2012. Periodic stripe formation by a Turing mechanism operating at growth zones in the mammalian palate Nature Genetics 44: 348–51.2234422210.1038/ng.1090
- Fox Keller, Evelyn. 2003. Making Sense of Life: Explaining Biological Development with Models, Metaphors, and Machines. Harvard University Press.10.4159/9780674039445
- Horvath, Judit; Szalai, Istvan; and De Kepper, Patrick. 2009. An experimental design method leading to chemical Turing patterns. Science 324: 772–5.10.1126/science.1169973
- Kondo, Shigeru; and Miura, Takashi. 2010. Reaction-diffusion model as a framework for understanding biological pattern formation. Science 329(5999): 1616–20.10.1126/science.1179047
- Lange, Marc. 2013. What makes a scientific explanation distinctively mathematical? British Journal for the Philosophy of Science 64 (3): 485–511.10.1093/bjps/axs012
- Levy, Arnon. 2015. Modeling without models. Philosophical Studies 172 (3): 781–98.10.1007/s11098-014-0333-9
- Love, Alan. 2008. Explaining the ontogeny of form: philosophical issues. In A Companion to the Philosophy of Biology, ed. by Sarkar Sahorta and Anya Plutinski. Oxford: Wiley Press.10.1002/9780470696590.ch13
- Love, Alan C.; and Lugar, Gary L. 2013. Dimensions of integration in interdisciplinary explanations of the origin of evolutionary novelty. Studies in History and Philosophy of Science Part C: Studies in History and Philosophy of Biological and Biomedical Sciences 44(4): 537–50.10.1016/j.shpsc.2013.09.008
- Love, Alan C.; and Nathan, Marco J. 2015. The idealization of causation in mechanistic explanation. Philosophy of Science 82(5): 761–74.10.1086/683263
- Madzvamuse, Anotida; Gaffney, Eamonn A.; and Maini, Philip K. 2010. Stability analysis of non-autonomous reaction-diffusion systems: the effects of growing domains. Journal of mathematical biology 61(1): 133–64 PMID: 19727733.10.1007/s00285-009-0293-4
- Maini, Philip K.; Baker, Ruth E.; and Chuong, Cheng-Ming. 2006. The Turing model comes of molecular age. Science Developmental Biology 314: 1397–8.10.1126/science.1136396
- Maini, Philip K. et al. 2012. Turing’s model for biological pattern formation and the robustness problem. Interface Focus 2: 483-496.10.1098/rsfs.2011.0113
- Maini, Philip K. 2012. Turing’s mathematical theory of morphogenesis. Asia Pacific Mathematics Newsletter 2(1): 7–8.
- Meinhardt, Hans. 1982. Models of Biological Pattern Formation. London: Academic London.
- Meinhardt, Hans et al. 2003. The Algorithmic Beauty of Sea Shells, 3rd edition. New York: Springer.10.1007/978-3-662-05291-4
- Murray, James D. 2003. Mathematical Biology II: Spatial Models and Biomedical Applications. Springer USA.10.1007/b98869
- Murray, James D. 2012. Vignettes from the field of mathematical biology: the application of mathematics to biology and medicine. Interface Focus 2: 397–406.10.1098/rsfs.2011.0102
- Nathan, Marco J. 2012. The varieties of molecular explanation. Philosophy of Science 79(2): 233–54.10.1086/664791
- Othmer, Hans G.; Maini, Philip K.; and Murray, James D. 1993. Experimental and Theoretical Advances in Biological Pattern Formation. Springer USA.10.1007/978-1-4615-2433-5
- Pincock, Christopher. 2007. Mathematical idealization. Philosophy of Science 74 (5): 957–967.10.1086/525636
- Pincock, Christopher. 2011. Mathematics and Scientific Representation. Cambridge MA: Oxford University Press.
- Pincock, Christopher. 2012. Mathematical models of biological patterns: lessons from Hamilton’s selfish herd. Biology and Philosophy 27(4): 481–96.10.1007/s10539-012-9320-8
- Pincock, Christopher. 2015a. The unsolvability of the quintic: a case study in abstract mathematical explanation. Philosophers’ Imprint15(3).
- Pincock, Christopher. 2015b. Abstract explanations in science. British Journal for the Philosophy of Science 66 (4): 857–82.10.1093/bjps/axu016
- Raz, Tim; and Sauer, Tilman. 2015. Outline of a dynamical inferential conception of the application of mathematics. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 49: 57–72.10.1016/j.shpsb.2015.01.004
- Tompkins, Nathan et al. 2014. Testing Turing’s theory of morphogenesis in chemical cells. PNAS 111(12): 4397–402.10.1073/pnas.1322005111
- Turing, Alan M. 1952. The chemical basis of morphogenesis. Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences DOI: 10.1098/rstb.1952.0012.10.1098/rstb.1952.0012
- Weisberg, Michael. 2007. Three kinds of idealization. Journal of Philosophy 104 (12): 639–59.10.5840/jphil20071041240
- Winther, Rasmus G. 2012. Mathematical modeling in biology: philosophy and pragmatics. Frontiers in Plant Evolution and Development 2012: 1–3.10.3389/fpls.2012.00102
- Woody, Andrea. 2015. Re-orienting discussions of scientific explanation: a functional perspective. Studies in History and Philosophy of Science Part A 52: 79–87.10.1016/j.shpsa.2015.03.005
- Yablo, Stephen. 2012. Explanation, extrapolation, and existence. Mind 121 (484): 1007–29.10.1093/mind/fzs120