Abstract
Biological systems are defined by their complexity and nonlinearity and thus provide fertile ground for the development of nonlinear deterministic models for predicting aspects of their behavior. This approach motivated the introduction of the concept named Homeodynamics which we will outline and then proceed to present a case study on the application of bifurcation theory and stability analysis, both topological approaches of dynamical systems, on three biological mechanisms of great importance in the context of Homeodynamics. These will be protein folding, protein dynamics and epigenetics.
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References
R. Rosen, Dynamical Systems Theory in Biology (Wiley Interscience, New York, 1970)
A.K. Dunker, J.D. Lawson, C.J. Brown, R.M. Williams, P. Romero, J.S. Oh, C.J. Oldfield, A.M. Campen, C.M. Ratliff, K.W. Hipps, J. Ausio, M.S. Nissen, R. Reeves, C. Kang, C.R. Kissinger, R.W. Bailey, M.D. Griswold, W. Chiu, E.C. Garner, Z. Obradovic, Intrinsically disordered protein. J. Mol. Graph. Model. (2001)
G. Boeing, Visual analysis of nonlinear dynamical systems: chaos, fractals, self-similarity and the limits of prediction (2016)
M.J. Korenberg, I.W. Hunter, The identification of nonlinear biological systems: Volterra kernel approaches. Ann. Biomed. Eng. (1996)
S. Lichter, T.L. Friesz, Networks and Dynamics: The Structure of the World We Live In. Network Science, Nonlinear Science and Infrastructure Systems (2007)
A. Marathe, R. Govindarajan, Nonlinear dynamical systems, their stability, and chaos. Appl. Mech. Rev. (2014)
S. Strogatz, Non-linear Dynamics and Chaos: With applications to Physics, Biology, Chemistry and Engineering (CRC PRESS, 2000)
I. Prigogine, Introduction to Thermodynamics of Irreversible Processes, 3rd edn. (Wiley Interscience, New York, 1955/1961/1967)
F.E. Yates, Order and complexity in dynamical systems: homeodynamics as a generalized mechanics for biology. Math. Comput. Model. (1994)
T.R. Rieger, R.I. Morimoto, V. Hatzimanikatis, Bistability explains threshold phenomena in protein aggregation both in vitro and in vivo. Biophys. J. (2006)
N.D. Lee Know, Mitochondria and the Future of Medicine (Chelsea Green Publishing, 2014)
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Sofronis, A., Vlamos, P. (2021). Homeodynamic Modelling of Complex Abnormal Biological Processes. In: Tsihrintzis, G., Virvou, M. (eds) Advances in Core Computer Science-Based Technologies. Learning and Analytics in Intelligent Systems, vol 14. Springer, Cham. https://doi.org/10.1007/978-3-030-41196-1_16
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DOI: https://doi.org/10.1007/978-3-030-41196-1_16
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