Abstract
The concepts of robustness and stability play a central role in many natural phenomena ranging from Astrophysics up to Life. In this contribution we discuss these concepts by specifically focusing on a biological paradigmatic mathematical model for the nonlinear electrophysiology of clusters of animal beta-cells.
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Bertolaso, M., Capolupo, A., Cherubini, C., Filippi, S., Gizzi, A., Loppini, A., & Vitiello, G. (2015). The role of coherence in emergent behavior of biological systems. Electromagnetic Biology and Medicine, 34, 138–140.
Bini, D., Cherubini, C., & Filippi, S. (2006). Heat transfer in Fitzhugh-Nagumo models. Physical Review E, 74(4), 041905.
Bini, D., Cherubini, C., Filippi, S., Gizzi, A., & Ricci, P. E. (2010). On spiral waves arising in natural systems. Communications in Computational Physics, 8(3), 610.
Celletti, A. (2010). Stability and Chaos in celestial mechanics. Berlin: Springer.
Cherubini, C., & Filippi, S. (2009). Lagrangian field theory of reaction-diffusion. Physical Review E, 80, 046117-1–046117-14.
Cherubini, C., Filippi, S., Gizzi, A., & Loppini, A. (2015). Role of topology in complex functional networks of beta cells. Physical Review E, 92, 042702-1–042702-12.
Gasiorowicz, S. (2003). Quantum physics (3rd ed, Supplementary Material). Delhi/Massachusetts: Wiley.
Giuliani, A., Filippi, S., & Bertolaso, M. (2014). Why network approach can promote a new way of thinking in biology. Frontiers in Genetics, 5, 83.
Hall, J. E. (2015). Guyton and Hall textbook of medical physiology (13th ed.). Philadelphia: Saunders.
Hobill, D., Burd, A., & Coley, A. (1994). Deterministic chaos in general relativity. Boston: Springer.
Jackson, A. E. (1992). Perspectives of nonlinear dynamics (Vol. 2). Cambridge, MA: Cambridge University Press.
Kondepudi, D., & Prigogine, I. (1998). Modern thermodynamics. From heat engines to dissipative structures. Chichester: Wiley.
Lancet Editorial. (2011). The diabetes pandemic. Lancet, 378, 99.
Lemons, D. (2002). An introduction to stochastic processes in physics. Baltimore: Johns Hopkins University Press.
Loppini, A., Capolupo, A., Cherubini, C., Gizzi, A., Bertolaso, M., Filippi, S., & Vitiello, G. (2014). On the coherent behavior of pancreatic beta cell clusters. Physics Letters A, 378, 3210–3217.
Misner, C. W., Thorne, K. S., & Wheeler, J. A. (1973). Gravitation. San Francisco: W H Freeman & Co.
Noble, D. (2006). The music of life. Oxford: Oxford University Press.
Ohanian, H. C., & Ruffini, R. (1994). Gravitation and spacetime (2nd ed.). New York: W. W. Norton & Company.
Portuesi, R., Cherubini, C., Gizzi, A., Buzzetti, R., Pozzilli, P., & Filippi, S. (2013). A stochastic mathematical model to study the autoimmune progression towards type 1 diabetes. Diabetes/Metabolism Research and Reviews, 29, 194–203.
Sherman, A., & Rinzel, J. (1991). Model for synchronization of pancreatic beta cells by gap junction coupling. Biophysical Journal, 59, 547–559.
Sherman, A., Rinzel, J., & Keizer, J. (1988). Emergence of organized bursting in clusters of pancreatic beta-cells by channel sharing. Biophysical Journal, 54, 411–425.
Strogatz, S. H. (2014). Nonlinear dynamics and chaos: With applications to physics, biology, chemistry, and engineering (2nd ed.). Boulder: Westview Press.
Tassoul, J.-L. (1978). Theory of rotating stars. Princeton: Princeton University Press.
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The authors acknowledge ICRANet and INdAM-GNFM for support.
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Cherubini, C., Filippi, S., Loppini, A. (2018). Robustness and Emergent Dynamics in Noisy Biological Systems. In: Bertolaso, M., Caianiello, S., Serrelli, E. (eds) Biological Robustness. History, Philosophy and Theory of the Life Sciences, vol 23. Springer, Cham. https://doi.org/10.1007/978-3-030-01198-7_7
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DOI: https://doi.org/10.1007/978-3-030-01198-7_7
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