Skip to main content
Top

2017 | OriginalPaper | Chapter

38. Comparing Symmetries in Models and Simulations

Authors : Giuseppe Longo, Maël Montévil

Published in: Springer Handbook of Model-Based Science

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Computer simulations brought remarkable novelties to knowledge construction. In this chapter, we first distinguish between mathematical modeling, computer implementations of these models and purely computational approaches. In all three cases, different answers are provided to the questions the observer may have concerning the processes under investigation. These differences will be highlighted by looking at the different theoretical symmetries of each frame. In the latter case, the peculiarities of agent-based or object oriented languages allow to discuss the role of phase spaces in mathematical analyses of physical versus biological dynamics. Symmetry breaking and randomness are finally correlated in the various contexts where they may be observed.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference F. Bailly, G. Longo: Mathematics and the Natural Sciences; The Physical Singularity of Life (Imperial College, London 2011)CrossRefMATH F. Bailly, G. Longo: Mathematics and the Natural Sciences; The Physical Singularity of Life (Imperial College, London 2011)CrossRefMATH
2.
go back to reference G. Longo: Theorems as constructive visions. In: Proof and Proving in Mathematic Education, ed. by G. Hanna, M. de Villiers (Springer, Dordrecht 2012) pp. 51–66 G. Longo: Theorems as constructive visions. In: Proof and Proving in Mathematic Education, ed. by G. Hanna, M. de Villiers (Springer, Dordrecht 2012) pp. 51–66
3.
go back to reference F. Zalamea: Synthetic Philosophy of Contemporary Mathematics (Urbanomic Sequence, Falmouth 2012)MATH F. Zalamea: Synthetic Philosophy of Contemporary Mathematics (Urbanomic Sequence, Falmouth 2012)MATH
4.
5.
go back to reference Y. Kosmann-Schwarzbach: Les théorèmes de Noether: Invariance et lois de Conservation au XXe siècle (Editions Ecole Polytechnique, Palaiseau 2004) Y. Kosmann-Schwarzbach: Les théorèmes de Noether: Invariance et lois de Conservation au XXe siècle (Editions Ecole Polytechnique, Palaiseau 2004)
6.
go back to reference G. Longo, M. Montévil: Perspectives on Organisms: Biological Time, Symmetries and Singularities, Lecture Notes in Morphogenesis (Springer, Dordrecht 2014)CrossRef G. Longo, M. Montévil: Perspectives on Organisms: Biological Time, Symmetries and Singularities, Lecture Notes in Morphogenesis (Springer, Dordrecht 2014)CrossRef
7.
go back to reference S.J. Gould: Wonderful Life (Norton, New York 1989) S.J. Gould: Wonderful Life (Norton, New York 1989)
8.
go back to reference S.Y. Pilyugin: Shadowing in Dynamical Systems, Lecture Notes in Mathematics, Vol. 1706 (Springer, Berlin 1999)MATH S.Y. Pilyugin: Shadowing in Dynamical Systems, Lecture Notes in Mathematics, Vol. 1706 (Springer, Berlin 1999)MATH
10.
go back to reference J. Barwise: Handbook of Mathematical Logic (Elsevier, Amsterdam 1978)MATH J. Barwise: Handbook of Mathematical Logic (Elsevier, Amsterdam 1978)MATH
14.
go back to reference M. Rathjen: The art of ordinal analysis, Proc. Int. Congr. Mathematicians, Vol. 2 (2006) pp. 45–69 M. Rathjen: The art of ordinal analysis, Proc. Int. Congr. Mathematicians, Vol. 2 (2006) pp. 45–69
15.
go back to reference F. Varenne: La reconstruction phénoménologique par simulation: Vers une épaisseur du simulat. In: Formes Systemes et Milieux Techniques Aprés Simondon, ed. by D. Parrochia, V. Tirloni (Jacques André, Lyon 2012) pp. 107–123 F. Varenne: La reconstruction phénoménologique par simulation: Vers une épaisseur du simulat. In: Formes Systemes et Milieux Techniques Aprés Simondon, ed. by D. Parrochia, V. Tirloni (Jacques André, Lyon 2012) pp. 107–123
16.
go back to reference W. Cook: Object-oriented programming versus abstract data types. In: Foundations of Object-Oriented Languages, Lecture Notes in Computer Science, Vol. 489, ed. by J.W. Bakker, W.P. Roever, G. Rozenberg (Springer, Heidelberg 1991) pp. 151–178CrossRef W. Cook: Object-oriented programming versus abstract data types. In: Foundations of Object-Oriented Languages, Lecture Notes in Computer Science, Vol. 489, ed. by J.W. Bakker, W.P. Roever, G. Rozenberg (Springer, Heidelberg 1991) pp. 151–178CrossRef
17.
go back to reference K. Bruce, del, B. Pierce: Comparing object encodings. In: Theoretical Aspects of Computer Software, Lecture Notes in Computer Science, Vol. 1281, ed. by M. Abadi, T. Ito (Springer, Heidelberg 1997) pp. 415–438CrossRef K. Bruce, del, B. Pierce: Comparing object encodings. In: Theoretical Aspects of Computer Software, Lecture Notes in Computer Science, Vol. 1281, ed. by M. Abadi, T. Ito (Springer, Heidelberg 1997) pp. 415–438CrossRef
19.
go back to reference V.P. Belavkin: Quantum probabilities and paradoxes of the quantum century: Infin. Dimensional Anal, Quantum Probab. Relat. Top. 3(4), 577–610 (2000)MathSciNetCrossRefMATH V.P. Belavkin: Quantum probabilities and paradoxes of the quantum century: Infin. Dimensional Anal, Quantum Probab. Relat. Top. 3(4), 577–610 (2000)MathSciNetCrossRefMATH
20.
go back to reference A.A. Abbott, C.S. Calude, K. Svozil: Value-indefinite observables are almost everywhere, Phys. Rev. A 89, 032109 (2014)CrossRef A.A. Abbott, C.S. Calude, K. Svozil: Value-indefinite observables are almost everywhere, Phys. Rev. A 89, 032109 (2014)CrossRef
21.
go back to reference A. Cabello: Experimentally testable state-independent quantum contextuality, Phys. Rev. Lett. 101, 210401 (2008)CrossRef A. Cabello: Experimentally testable state-independent quantum contextuality, Phys. Rev. Lett. 101, 210401 (2008)CrossRef
22.
go back to reference G. Longo, C. Palamidessi, T. Paul: Some bridging results and challenges in classical, quantum and computational randomness. In: Randomness Through Computation, ed. by H. Zenil (World Scientific, London 2010) pp. 73–92 G. Longo, C. Palamidessi, T. Paul: Some bridging results and challenges in classical, quantum and computational randomness. In: Randomness Through Computation, ed. by H. Zenil (World Scientific, London 2010) pp. 73–92
23.
go back to reference H. Poincaré: La Science et L’hypothèse (Ernest Flammarion, Paris 1902)MATH H. Poincaré: La Science et L’hypothèse (Ernest Flammarion, Paris 1902)MATH
24.
go back to reference A. Aspect: Bell’s inequality test: More ideal than ever, Nature 398(6724), 189–190 (1999)CrossRef A. Aspect: Bell’s inequality test: More ideal than ever, Nature 398(6724), 189–190 (1999)CrossRef
25.
go back to reference M. Buiatti, G. Longo: Randomness and multilevel interactions in biology, Theory Biosci. 132(3), 139–158 (2013)CrossRef M. Buiatti, G. Longo: Randomness and multilevel interactions in biology, Theory Biosci. 132(3), 139–158 (2013)CrossRef
26.
go back to reference M.B. Elowitz, A.J. Levine, E.D. Siggia, P.S. Swain: Stochastic gene expression in a single cell, Science 297(5584), 1183–1186 (2002)CrossRef M.B. Elowitz, A.J. Levine, E.D. Siggia, P.S. Swain: Stochastic gene expression in a single cell, Science 297(5584), 1183–1186 (2002)CrossRef
27.
go back to reference R. Arjun, R. van Oudenaarden: Stochastic gene expression and its consequences, Cell 135(2), 216–226 (2008)CrossRef R. Arjun, R. van Oudenaarden: Stochastic gene expression and its consequences, Cell 135(2), 216–226 (2008)CrossRef
28.
go back to reference A. Lesne, J.-M. Victor: Chromatin fiber functional organization: Some plausible models, Eur. Phys. J. E. Soft Matter 19(3), 279–290 (2006)CrossRef A. Lesne, J.-M. Victor: Chromatin fiber functional organization: Some plausible models, Eur. Phys. J. E. Soft Matter 19(3), 279–290 (2006)CrossRef
29.
go back to reference M. Bizzarri, A. Giuliani, A. Cucina, F. D’Anselmi, A.M. Soto, C. Sonnenschein: Fractal analysis in a systems biology approach to cancer, Semin. Cancer Biol. 21(3), 175–182 (2011)CrossRef M. Bizzarri, A. Giuliani, A. Cucina, F. D’Anselmi, A.M. Soto, C. Sonnenschein: Fractal analysis in a systems biology approach to cancer, Semin. Cancer Biol. 21(3), 175–182 (2011)CrossRef
30.
go back to reference C. Barnes, L. Speroni, K. Quinn, M. Montévil, K. Saetzler, G. Bode-Animashaun, G. McKerr, I. Georgakoudi, S. Downes, C. Sonnenschein, V. Howard, A. Soto: From single cells to tissues: Interactions between the matrix and human breast cells in real time, PLoS ONE 9(4), e93325 (2014)CrossRef C. Barnes, L. Speroni, K. Quinn, M. Montévil, K. Saetzler, G. Bode-Animashaun, G. McKerr, I. Georgakoudi, S. Downes, C. Sonnenschein, V. Howard, A. Soto: From single cells to tissues: Interactions between the matrix and human breast cells in real time, PLoS ONE 9(4), e93325 (2014)CrossRef
31.
go back to reference S.F. Gilbert, D. Epel: Ecological Developmental Biology: Integrating Epigenetics, Medicine, and Evolution (Sinauer Associates, Sunderland 2009) S.F. Gilbert, D. Epel: Ecological Developmental Biology: Integrating Epigenetics, Medicine, and Evolution (Sinauer Associates, Sunderland 2009)
33.
go back to reference A.M. Turing: The chemical basis of morphogenesis, Philos. Trans. R. Soc. Lond. Ser. B, Biol. Sci. 237(641), 37–72 (1952)MathSciNetCrossRef A.M. Turing: The chemical basis of morphogenesis, Philos. Trans. R. Soc. Lond. Ser. B, Biol. Sci. 237(641), 37–72 (1952)MathSciNetCrossRef
34.
go back to reference A. Hodges: Turing: A Natural Philosopher (Phoenix, London 1997) A. Hodges: Turing: A Natural Philosopher (Phoenix, London 1997)
35.
go back to reference J. Huxley: Evolution. The Modern Synthesis (Allen Unwin, London 1942) J. Huxley: Evolution. The Modern Synthesis (Allen Unwin, London 1942)
36.
go back to reference E. Schrödinger: What is Life? (Cambridge UP, Cambridge 1944) E. Schrödinger: What is Life? (Cambridge UP, Cambridge 1944)
37.
go back to reference E.F. Keller: The Century of the Gene (Harvard Univ. Press, Cambridge 2002) E.F. Keller: The Century of the Gene (Harvard Univ. Press, Cambridge 2002)
38.
go back to reference G. Longo: Critique of computational reason in the natural sciences. In: Fundamental Concepts in Computer Science, ed. by E. Gelenbe, J.-P. Kahane (Imperial College Press/World Scientific, London 2009) pp. 43–70CrossRef G. Longo: Critique of computational reason in the natural sciences. In: Fundamental Concepts in Computer Science, ed. by E. Gelenbe, J.-P. Kahane (Imperial College Press/World Scientific, London 2009) pp. 43–70CrossRef
39.
go back to reference C. Calude: Information and Randomness: An Algorithmic Perspective (Springer, Heidelberg 2002)CrossRefMATH C. Calude: Information and Randomness: An Algorithmic Perspective (Springer, Heidelberg 2002)CrossRefMATH
41.
go back to reference G. Longo, P.-A. Miquel, C. Sonnenschein, A.M. Soto: Is information a proper observable for biological organization?, Prog. Biophys. Mol. Biol. 109(3), 108–114 (2012)CrossRef G. Longo, P.-A. Miquel, C. Sonnenschein, A.M. Soto: Is information a proper observable for biological organization?, Prog. Biophys. Mol. Biol. 109(3), 108–114 (2012)CrossRef
42.
go back to reference J.M. Smith: The idea of information in biology, Q. Rev. Biol. 74, 395–400 (1999)CrossRef J.M. Smith: The idea of information in biology, Q. Rev. Biol. 74, 395–400 (1999)CrossRef
43.
go back to reference G. Kuiper, B.O. Carlsson, K.A.J. Grandien, E. Enmark, J. Häggblad, S. Nilsson, J. Gustafsson: Comparison of the ligand binding specificity and transcript tissue distribution of estrogen receptors α and β, Endocrinology 138(3), 863–870 (1997)CrossRef G. Kuiper, B.O. Carlsson, K.A.J. Grandien, E. Enmark, J. Häggblad, S. Nilsson, J. Gustafsson: Comparison of the ligand binding specificity and transcript tissue distribution of estrogen receptors α and β, Endocrinology 138(3), 863–870 (1997)CrossRef
44.
go back to reference J. Monod: Le Hasard et la Nécessité (Seuil, Paris 1970) J. Monod: Le Hasard et la Nécessité (Seuil, Paris 1970)
45.
go back to reference J.J. Kupiec: A probabilistic theory of cell differentiation, embryonic mortality and DNA C-value paradox, Specul. Sci. Techno. 6, 471–478 (1983) J.J. Kupiec: A probabilistic theory of cell differentiation, embryonic mortality and DNA C-value paradox, Specul. Sci. Techno. 6, 471–478 (1983)
46.
go back to reference J.J. Kupiec, P. Sonigo: Ni Dieu ni gène: Pour une Autre Théorie de l’hérédité (Editions du Seuil, Paris 2003) J.J. Kupiec, P. Sonigo: Ni Dieu ni gène: Pour une Autre Théorie de l’hérédité (Editions du Seuil, Paris 2003)
48.
go back to reference A. Novick, M. Weiner: Enzyme induction as an all-or-none phenomenon, Proc. Natl. Acad Sciences 43(7), 553–566 (1957)CrossRef A. Novick, M. Weiner: Enzyme induction as an all-or-none phenomenon, Proc. Natl. Acad Sciences 43(7), 553–566 (1957)CrossRef
49.
go back to reference M. Weiss, M. Elsner, F. Kartberg, T. Nilsson: Anomalous subdiffusion is a measure for cytoplasmic crowding in living cells, Biophys. J. 87(5), 3518–3524 (2004)CrossRef M. Weiss, M. Elsner, F. Kartberg, T. Nilsson: Anomalous subdiffusion is a measure for cytoplasmic crowding in living cells, Biophys. J. 87(5), 3518–3524 (2004)CrossRef
50.
go back to reference R.T. Zoeller, T.R. Brown, L.L. Doan, A.C. Gore, N.E. Skakkebaek, A.M. Soto, T.J. Woodruff, F.S. Vom Saal: Endocrine-disrupting chemicals and public health protection: A statement of principles from the endocrine Society, Endocrinology 153(9), 4097–4110 (2012)CrossRef R.T. Zoeller, T.R. Brown, L.L. Doan, A.C. Gore, N.E. Skakkebaek, A.M. Soto, T.J. Woodruff, F.S. Vom Saal: Endocrine-disrupting chemicals and public health protection: A statement of principles from the endocrine Society, Endocrinology 153(9), 4097–4110 (2012)CrossRef
51.
go back to reference A.M. Soto, C. Sonnenschein: Environmental causes of cancer: Endocrine disruptors as carcinogens, Nat. Rev. Endocrinol. 6(7), 363–370 (2010)CrossRef A.M. Soto, C. Sonnenschein: Environmental causes of cancer: Endocrine disruptors as carcinogens, Nat. Rev. Endocrinol. 6(7), 363–370 (2010)CrossRef
52.
go back to reference B. Demeneix: Losing our Minds: How Environmental Pollution Impairs Human Intelligence and Mental Health (Oxford Univ. Press, Oxford 2014)CrossRef B. Demeneix: Losing our Minds: How Environmental Pollution Impairs Human Intelligence and Mental Health (Oxford Univ. Press, Oxford 2014)CrossRef
53.
go back to reference M. Buiatti: Functional dynamics of living systems and genetic engineering, Rivista di Biologia 97(3), 379–408 (2003) M. Buiatti: Functional dynamics of living systems and genetic engineering, Rivista di Biologia 97(3), 379–408 (2003)
54.
go back to reference G. Longo, M. Montévil: From physics to biology by extending criticality and symmetry breakings, Prog. Biophys. Mol. Biol. 106(2), 340–347 (2011)CrossRef G. Longo, M. Montévil: From physics to biology by extending criticality and symmetry breakings, Prog. Biophys. Mol. Biol. 106(2), 340–347 (2011)CrossRef
Metadata
Title
Comparing Symmetries in Models and Simulations
Authors
Giuseppe Longo
Maël Montévil
Copyright Year
2017
Publisher
Springer International Publishing
DOI
https://doi.org/10.1007/978-3-319-30526-4_38

Premium Partner