Marriages of mathematics and physics: A challenge for biology

Progress in Biophysics and Molecular Biology - Tập 131 - Trang 179-192 - 2017
Arezoo Islami1, Giuseppe Longo2
1Stanford University, Department of Philosophy, USA
2Centre Cavaillès, CNRS - Ecole Normale Supérieure, Paris and Department of Integrative Physiology and Pathobiology, Tufts University School of Medicine, Boston, USA

Tài liệu tham khảo

Al-Khwarizmi, 1915 Bailly, 2011 Bailly, 1994, “Morphogenèse et croissance biologique : un modele dynamique simple pour le poumon” dans La biologie théorique a Solignac, Ed. Polytech., 65 Berggern, 2016 Bitbol, 1996 Bizzarri, 2014, Gravity sensing cells: mechanisms and theoretical grounds, Rend. Fis. Acc. Lincei, 25, S29, 10.1007/s12210-013-0281-x Boi, 1995 Bottazzini U., Poincaré, Le Scienze, 1999.. Bottazzini, 1995, Naturphilosophie and its role in Riemann's mathematics, Rev. d'Histoire Des. Mathématiques n, 1, 3 Brown, 1999 Châtelet, 1993 Connes, 1994 Descartes, 1954 Dieudonné, 1972, The historical development of algebraic geometry, Am. Math. Mon., 79, 827, 10.1080/00029890.1972.11993142 Ehresmann, 2007 Frege, 1873, On a geometrical representation of imaginary forms in the plane Frege, 1884 Friedman, 2001 Girard, 1989 Gould, 1982 Gould, 1989 Heath, 1908 Heinzmann, 1998, 143 Hilbert, 1899 Husserl, 1933 Husserl, 1936 Islami, 2017 Jennings, 2000, Computational approaches to brain functions, Nat. Neurosci. Suppl., 3, 10.1038/81417 Kvasz, 2008 Leibniz, 1686 Longo, 2011, Reflections on concrete incompleteness, Philos. Math., 19, 255, 10.1093/philmat/nkr016 Longo, 2011, Theorems as constructive visions Longo, 2015 Longo, 2017, How future depends on past histories and rare events in systems of life, Found. Sci., 10.1007/s10699-017-9535-x Longo, 2014 Longo, 2012, From bottom-up approaches to levels of organization and extended critical transitions, Front. Physiol., 3, 232, 10.3389/fphys.2012.00232 Montévil, 2017, A primer on mathematical modeling in the study of organisms and their parts Montévil, 2015, Biological organisation as closure of constraints, J. Theor. Biol., 372, 179, 10.1016/j.jtbi.2015.02.029 Montévil, 2016, Theoretical principles for biology: Variation, Prog. Biophys. Mol. Biol., 122, 36, 10.1016/j.pbiomolbio.2016.08.005 Montévil, 2016, Modeling mammary organogenesis from biological first principles: cells and their physical constraints, Prog. Biophys. Mol. Biol., 122, 58, 10.1016/j.pbiomolbio.2016.08.004 Nabonnand, 2000, Les recherches sur l'oeuvre de Poincaré, Gaz. Des. Mathématiciens, 85 Nabonnand, 2001 Nonnenmacher, 1994 Panza, 2011, Rethinking geometrical exactness, Hist. Math., 38, 42, 10.1016/j.hm.2010.09.001 Panza, 2012, The twofold role of diagrams in Euclid's plane geometry, Synthese, 186, 55, 10.1007/s11229-012-0074-2 Panza, 2015, ““Una stessa cosa”. Come intendere la definizione della continuità di Aristotele’’, Fisica V.3, 227a10-12, 715 Patras, 2001 Patras, 2014 Petitot, 1999, Naturalizing Phenomenology: issues in comtemporary Phenomenology and cognitive sciences, (J. Petitot al., eds) Stanf. U.P. Poincaré, 1899, Des fondements de la géométrie, Revue de métaphysique morale, 7, 251 Poincaré, 1902 Poincaré, 1913 Rahman, 2008 Rashed, 1996, vol. 2 Rashed, 2015 Riemann, 1854 Rosenthal, 1970 Sarti, 2017 Séguit-Duclot, 2017 Simeonov, 2017, Some Resonances between Eastern Thought and Integral Biomathics in the Framework of WLIMES, Prog. Biophys. Mol. Biol., 131, 193, 10.1016/j.pbiomolbio.2017.05.014 2016, From the century of the genome to the century of the organism: new theoretical approaches, Prog. Biophys. Mol. Biol., 122 Tappenden, 1995, Geometry and generality in Frege's philosophy of Arithmetic, Synth. n. 3, 102 Turing, 1950 Turing, 1952, The chemical basis of morphogenesis, Philo. Trans. R. Soc., B237, 37, 10.1098/rstb.1952.0012 Vernant, 1983 Weyl, 1927 Zalamea, 2012