By Toru Ohira, Tohru Uzawa
Represents the leading edge of mathematical ways on organic platforms on the subject of networks, oscillations, and collective motions
Brings jointly a variety of study subject matters with out limiting them to specializations or organic structures
Enables readers to elucidate connections and variations in study subject matters via delivering a number of methods and version organic systems
This e-book offers the latest mathematical methods to the starting to be study quarter of networks, oscillations, and collective motions within the context of organic structures. Bringing jointly the result of a number of stories of other organic platforms, this booklet sheds gentle at the relatives between those study themes.
Included during this e-book are the subsequent subject matters: suggestions structures with time hold up and threshold of sensing (dead zone), robustness of organic networks from the viewpoint of dynamical structures, the hardware-oriented neuron modeling method, a common mechanism governing the entrainment restrict below vulnerable forcing, the robustness mechanism of open advanced structures, situation-dependent switching of the cues basically trusted by way of foraging ants, and staff chase and escape.
Research on diverse organic platforms is gifted jointly, no longer separated via specializations or through version structures. for that reason, the publication presents assorted views on the vanguard of present mathematical learn on organic structures, particularly curious about networks, oscillations, and collective motions.
This paintings is aimed toward complicated undergraduate, graduate, and postdoctoral scholars, in addition to scientists and engineers. it is going to even be of significant use for execs in industries and repair sectors because of the applicability of themes similar to networks and synchronizations.
Content point » Research
Keywords » organic community - organic oscillation - Collective movement - Mathematical version - Neural community - Neural system
Related topics » Bioinformatics - platforms Biology and Bioinformatics
Read Online or Download Mathematical Approaches to Biological Systems: Networks, Oscillations, and Collective Motions PDF
Best mathematics_1 books
This ebook is the “Study ebook” of ICMI-Study no. 20, which used to be run in cooperation with the foreign Congress on and utilized arithmetic (ICIAM). The editors have been the co-chairs of the examine (Damlamian, Straesser) and the organiser of the examine convention (Rodrigues). The textual content encompasses a entire record at the findings of the learn convention, unique plenary shows of the examine convention, reviews at the operating teams and chosen papers from in every single place global.
Analytic homes of Automorphic L-Functions is a three-chapter textual content that covers substantial study works at the automorphic L-functions hooked up by way of Langlands to reductive algebraic teams. bankruptcy I specializes in the research of Jacquet-Langlands tools and the Einstein sequence and Langlands’ so-called “Euler products.
- Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects: FVCA 7, Berlin, June 2014
- The mathematical works of J.H.C.Whitehead. Vol.2
- Stationary Stochastic Processes. (MN-8):
- Graphes et hypergraphes
- A Course of Higher Mathematics: International Series of Monographs in Pure and Applied Mathematics, Volume 62
Additional resources for Mathematical Approaches to Biological Systems: Networks, Oscillations, and Collective Motions
Cabrera JL, Milton JG (2012) Stick balancing, falls, and Dragon Kings. Eur Phys J Spec Top 205:231–241 17. Cabrera JL, Bormann R, Eurich C, Ohira T, Milton J (2004) State-dependent noise and human balance control. Fluct Noise Lett 4:L107–L118 18. Cabrera JL, Luciani C, Milton J (2006) Neural control on multiple time scales: insights from human stick balancing. Condens Matter Phys 9:373–383 19. Cluff T, Balasubramaniam R (2009) Motor learning characterized by changing Levy distributions. PloS One 4:e5988 20.
Is intermittent control physiological? J Physiol (Lond) 589:307–324 56. Lord SR, Sherrington C, Menz HB (2001) Falls in older people: risk factors and strategies for prevention. Cambridge University Press, New York 57. Losson J, Mackey MC, Longtin A (1990) Solution multistability in first order nonlinear differential delay equations. Chaos 7:167–176 58. Mackey MC (1979) Periodic auto-immune hemolytic anemia: an induced dynamical disease. Bull Math Biol 41:211–225 59. Mackey MC, Glass L (1977) Oscillation and chaos in physiological control systems.
32]. pcall p/ˇ where ˇ is the critical exponent. 6) 34 G. Tanaka et al. The aging transition is characterized by the above critical scaling law of the order parameter. K; p/ D Kcall ; pcall is found in Ref. , which holds in a general model of globally and diffusively coupled systems. Similar analyses of the aging transition are found in the studies on globally coupled networks consisting of other types of oscillator units. Pazó and Montbrió  used an oscillator model exhibiting a saddle-node on invariant circle (SNIC) bifurcation, motivated by another typical mechanism for the onset of oscillation in neurons .