Spatial stochastic systems theory and its application to fields and waves in random moving media, II: Preliminary application to scattering and reverberation

1982 ◽  
Vol 80 (4) ◽  
pp. 473-498 ◽  
Author(s):  
K.C. Liu
Athenea ◽  
2022 ◽  
Vol 2 (6) ◽  
pp. 22-27
Author(s):  
Luis Jose Gonzalez lugo

Scientific essay. References [1]G. Guerrero Pino, «Determinismo, modelos y modalidades,» Revista de Filosofía, vol. XIII, nº 24, pp. 191-216, 2000. [2]V. S. Pugachev and I. N. Sinitsyn, Stochastic Systems, Theory and Applications, 2002. [3]V. G. Kulkarni, Introduction to Modeling and Analysis of Stochastic Systems, Springer, 2011. [4]R. D. Snee, «Statistical Thinking and Its Contribution to Total Quality,» The American Statistian, pp. 116-121, 1990. [5]M. Pfannkuch and C. J. Wild, «Statistical Thinking in Empirical Enquiry,» International Statistical Review, vol. 67, nº 3, pp. 223-265, 1999. [6]E. Morin, Introducción al Pensamiento Complejo, Gedisa, 1998. [7]R. Corcho, Galileo y el método científico, NATGEO CIENCIAS, 2018. [8]A. L. Arango Arias, «Aporte de Galileo a la Ciencia Moderna,» Revista Académica e Institucional de la U.C.P.R., nº 75, pp. 57-65, 2006. [9]E. Morin, El Método, Ediciones Cátedra, 2017.


2012 ◽  
Vol 11 ◽  
pp. CIN.S10630
Author(s):  
Michael L. Bittner ◽  
Edward R. Dougherty

For science, theoretical or applied, to significantly advance, researchers must use the most appropriate mathematical methods. A century and a half elapsed between Newton's development of the calculus and Laplace's development of celestial mechanics. One cannot imagine the latter without the former. Today, more than three-quarters of a century has elapsed since the birth of stochastic systems theory. This article provides a perspective on the utilization of systems theory as the proper vehicle for the development of systems biology and its application to complex regulatory diseases such as cancer.


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