Elishakoff, I. (1999). Probabilistic Theory of Structures. Dover Publications, New York.
Elishakoff, I. (2004). Safety Factors and Reliability: Friends or Foes? Kluwer Academic Publishers, Dordrecht.
Elishakoff, I. (2005). Eigenvalues of Inhomogeneous Structures: Unusual Closed-Form Solutions of Semi-Inverse Problems. CRC Press, Boca Raton.
Elishakoff, I. (2014). Resolution of the Twentieth Century Conundrum in Elastic Stability. World Scientific/Imperial College Press, Singapore.
Elishakoff, I. (2017). Probabilistic Methods in the Theory of Structures: Random Strength of Materials, Random Vibration, and Buckling. World Scientific, Singapore.
Elishakoff, I. (2018). Probabilistic Methods in the Theory of Structures: Solution Manual to Accompany Probabilistic Methods in the Theory of Structures: Problems with Complete, Worked Through Solutions. World Scientific, Singapore.
Elishakoff, I. (2020). Dramatic Effect of Cross-Correlations in Random Vibrations of Discrete Systems, Beams, Plates, and Shells. Springer Nature, Switzerland.
Elishakoff, I. (2020). Handbook on Timoshenko-Ehrenfest Beam and Uflyand-Mindlin Plate Theories. World Scientific, Singapore.
Elishakoff, I. and Ohsaki, M. (2010). Optimization and Anti-Optimization of Structures under Uncertainty. Imperial College Press, London.
Elishakoff, I. and Ren, Y. (2003). Finite Element Methods for Structures with Large Stochastic Variations. Oxford University Press, Oxford.
Elishakoff, I., Lin, Y.K., Zhu, L.P. (1994). Probabilistic and Convex Modeling of Acoustically Excited Structures. Elsevier, Amsterdam.
Elishakoff, I., Li, Y., Starnes Jr., J.H. (2001). Non-Classical Problems in the Theory of Elastic Stability. Cambridge University Press, Cambridge.
Elishakoff, I., Pentaras, D., Dujat, K., Versaci, C., Muscolino, G., Storch, J., Bucas, S., Challamel, N., Natsuki, T., Zhang, Y., Ming Wang, C., Ghyselinck, G. (2012). Carbon Nanotubes and Nano Sensors: Vibrations, Buckling, and Ballistic Impact. ISTE Ltd, London, and John Wiley & Sons, New York.
Elishakoff, I., Pentaras, D., Gentilini, C., Cristina, G. (2015). Mechanics of Functionally Graded Material Structures. World Scientific/Imperial College Press, Singapore.
Books edited or co-edited by Elishakoff
Ariaratnam, S.T., Schuëller, G.I., Elishakoff, I. (1988). Stochastic Structural Dynamics – Progress in Theory and Applications. Elsevier, London.
Casciati, F., Elishakoff, I., Roberts, J.B. (1990). Nonlinear Structural Systems under Random Conditions. Elsevier, Amsterdam.
Chuh, M., Wolfe, H.F., Elishakoff, I. (1989). Vibration and Behavior of Composite Structures. ASME Press, New York.
David, H. and Elishakoff, I. (1990). Impact and Buckling of Structures. ASME Press, New York.
Elishakoff, I. (1999). Whys and Hows in Uncertainty Modeling. Springer, Vienna.
Elishakoff, I. (2007). Mechanical Vibration: Where Do We Stand? Springer, Vienna.
Elishakoff, I. and Horst, I. (1987). Refined Dynamical Theories of Beams, Plates and Shells and Their Applications. Springer Verlag, Berlin.
Elishakoff, I. and Lin, Y.K. (1991). Stochastic Structural Dynamics 2 – New Applications. Springer, Berlin.
Elishakoff, I. and Lyon, R.H. (1986), Random Vibration-Status and Recent Developments. Elsevier, Amsterdam.
Elishakoff, I. and Seyranian, A.P. (2002). Modern Problems of Structural Stability. Springer, Vienna.
Elishakoff, I. and Soize, C. (2012). Non-Deterministic Mechanics. Springer, Vienna.
Elishakoff, I., Arbocz, J., Babcock Jr., C.D., Libai, A. (1988). Buckling of Structures: Theory and Experiment. Elsevier, Amsterdam.
Lin, Y.K. and Elishakoff, I. (1991). Stochastic Structural Dynamics 1 – New Theoretical Developments. Springer, Berlin.
Noor, A.K., Elishakoff, I., Hulbert, G. (1990). Symbolic Computations and Their Impact on Mechanics. ASME Press, New York.
Figure P.11. Elishakoff with his wife, Esther Elisha, M.D., during an ASME awards ceremony
On behalf of all the authors of this book, including those friends who were unable to contribute, we wish Prof. Isaac Elishakoff many more decades of fruitful works and collaborations for the benefit of world mechanics, in particular.
Modern Trends in Structural and Solid Mechanics 1 – the first of three separate volumes that comprise this book – presents recent developments and research discoveries in structural and solid mechanics, with a focus on the statics and stability of solid and structural members.
The book is centered around theoretical analysis and numerical phenomena and has broad scope, covering topics such as: buckling of discrete systems (elastic chains, lattices with short and long range interactions, and discrete arches), buckling of continuous structural elements including beams, arches and plates, static investigation of composite plates, exact solutions of plate problems, elastic and inelastic buckling, dynamic buckling under impulsive loading, buckling and post-buckling investigations, buckling of conservative and non-conservative systems, buckling of micro and macro-systems. The engineering applications concern both small-scale phenomena with micro and nano-buckling up to large-scale structures, including the buckling of drillstring systems.
Each of the three volumes is intended for graduate students and researchers in the field of theoretical and applied mechanics.
Prof. Noël CHALLAMEL
Lorient, France
Prof. Julius KAPLUNOV
Keele, UK
Prof. Izuru TAKEWAKI
Kyoto, Japan
February 2021
1 For a color version of all the figures in this chapter, see www.iste.co.uk/challamel/mechanics3.zip.
1
Optimization in Mitochondrial Energetic Pathways
1.1. Optimization in neural and cell biology
Neuronal networks and their countless pathways, as well as their companion cells, the glia, are the foundation of our functioning brain. These neurons and glia send signals to each other and process information in tremendously complex ways, which we are only beginning to have some understanding of. How pathway choices in neurons lead to physiological or pathological responses are of critical interest. What causes one progression path to be followed rather than another? Are there underlying principles, for example, an optimization of energy or time, a minimization of materials or some other underlying rules and characteristics?
Each neuron cell is composed of numerous organelles and other components, each with their own function, all of which communicate intracellularly and respond as a team to the needs of the cell, as well as to extracellular signals. One of those organelles is the mitochondria. It is well established that the connections between energetics and mitochondria – the organelle responsible for almost all of the energy production in the cell – determine whether physiological or pathological