caa a22 4500 445361549 CHVBK 20180317142916.0 cr unu---uuuuu 170323e20110701xx s 000 0 eng 10.1007/s11071-010-9872-6 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9872-6 Ricci flow and nonlinear reaction-diffusion systems inbiology, chemistry, andphysics [Elektronische Daten] [Vladimir Ivancevic, Tijana Ivancevic] This paper proposes the Ricci-flow equation from Riemannian geometry as a general geometric framework for various nonlinear reaction-diffusion systems (and related dissipative solitons) in mathematical biology. More precisely, we propose a conjecture that any kind of reaction-diffusion processes in biology, chemistry, and physics can be modeled by the combined geometric-diffusion system. In order to demonstrate the validity of this hypothesis, we review a number of popular nonlinear reaction-diffusion systems and try to show that they can all be subsumed by the presented geometric framework of the Ricci flow. Springer Science+Business Media B.V., 2010 Geometrical Ricci flow nationallicence Nonlinear bio-reaction-diffusion nationallicence Dissipative solitons and breathers nationallicence Ivancevic Vladimir Defence Science & Technology Organisation, Adelaide, Australia aut Ivancevic Tijana Society for Nonlinear Dynamics in Human Factors & CITECH Research IP Pty Ltd, Adelaide, Australia aut Nonlinear Dynamics Springer Netherlands 65/1-2(2011-07-01), 35-54 0924-090X 65:1-2<35 2011 65 11071 https://doi.org/10.1007/s11071-010-9872-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9872-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ivancevic Vladimir Defence Science & Technology Organisation, Adelaide, Australia aut NATIONALLICENCE 700 1- Ivancevic Tijana Society for Nonlinear Dynamics in Human Factors & CITECH Research IP Pty Ltd, Adelaide, Australia aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 65/1-2(2011-07-01), 35-54 0924-090X 65:1-2<35 2011 65 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer