TY - CHAP A1 - Saparin, Peter A1 - Gowin, Wolfgang A1 - Zaikin, Alexei A1 - Thomsen, Jesper A1 - Prohaska, Steffen A1 - Hege, Hans-Christian A1 - Kurths, Jürgen T1 - Quantification of Changes in Spatial Structure of Human Bone Biopsies Using 3D Measures of Complexity T2 - 14th IAA Humans in Space Symposium Y1 - 2003 CY - Banff, Alberta, Canada ER - TY - CHAP A1 - Zaikin, Alexei A1 - Saparin, Peter A1 - Prohaska, Steffen A1 - Kurths, Jürgen A1 - Gowin, Wolfgang T1 - 2D and 3D bone modelling for analysis of changes in the bone architecture and for evaluation of structural measures. T2 - 2nd European Congress ’Achievements in Space Medicine into Health Care Practice and Industry’ Y1 - 2003 CY - Berlin-Adlershof ER - TY - GEN A1 - Gowin, Wolfgang A1 - Saparin, Peter A1 - Felsenberg, Dieter A1 - Kurths, Jürgen A1 - Zaikin, Alexei A1 - Prohaska, Steffen A1 - Hege, Hans-Christian T1 - Regional Structural Skeletal Discordance Assessed by Measures of Complexity Y1 - 2002 ER - TY - JOUR A1 - Zaikin, Alexei A1 - Saparin, Peter A1 - Prohaska, Steffen A1 - Kurths, Jürgen A1 - Gowin, Wolfgang T1 - Bone Modeling and Structural Measures of Complexity JF - Journal of Gravitational Physiology Y1 - 2002 U6 - https://doi.org/10.1016/j.actaastro.2005.01.007 VL - 9 SP - 175 EP - 176 ER - TY - JOUR A1 - Saparin, Peter A1 - Thomsen, Jesper A1 - Prohaska, Steffen A1 - Zaikin, Alexei A1 - Kurths, Jürgen A1 - Hege, Hans-Christian A1 - Gowin, Wolfgang T1 - Quantification of spatial structure of human proximal tibial bone biopsies using 3D measures of complexity JF - Acta Astronautica Y1 - 2005 U6 - https://doi.org/10.1016/j.actaastro.2005.01.007 VL - 56 IS - 9-12 SP - 820 EP - 830 ER - TY - JOUR A1 - Zaikin, Alexei A1 - Saparin, Peter A1 - Kurths, Jürgen A1 - Prohaska, Steffen A1 - Gowin, Wolfgang T1 - Modeling resorption in 2D-CT and 3D μ-CT bone images JF - Int. J. of Bif. and Chaos Y1 - 2005 VL - 15(9) SP - 2995 EP - 3009 ER - TY - JOUR A1 - Moualeu-Ngangue, Dany Pascal A1 - Bowong, Samuel A1 - Kurths, Jürgen T1 - Parameter Estimation of a Tuberculosis Model in a Patchy Environment: Case of Cameroon JF - BIOMAT - Proceedings of the 12th International Symposium on Mathematical and Computational Biology, Toronto, 2013 Y1 - 2014 U6 - https://doi.org/10.1142/9789814602228_0021 ER - TY - JOUR A1 - Helfmann, Luzie A1 - Heitzig, Jobst A1 - Koltai, Péter A1 - Kurths, Jürgen A1 - Schütte, Christof T1 - Statistical analysis of tipping pathways in agent-based models JF - Eur. Phys. J. Spec. Top. N2 - Agent-based models are a natural choice for modeling complex social systems. In such models simple stochastic interaction rules for a large population of individuals on the microscopic scale can lead to emergent dynamics on the macroscopic scale, for instance a sudden shift of majority opinion or behavior. Here we are introducing a methodology for studying noise-induced tipping between relevant subsets of the agent state space representing characteristic configurations. Due to a large number of interacting individuals, agent-based models are high-dimensional, though usually a lower-dimensional structure of the emerging collective behaviour exists. We therefore apply Diffusion Maps, a non-linear dimension reduction technique, to reveal the intrinsic low-dimensional structure. We characterize the tipping behaviour by means of Transition Path Theory, which helps gaining a statistical understanding of the tipping paths such as their distribution, flux and rate. By systematically studying two agent-based models that exhibit a multitude of tipping pathways and cascading effects, we illustrate the practicability of our approach. Y1 - 2021 U6 - https://doi.org/10.1140/epjs/s11734-021-00191-0 VL - 230 SP - 3249 EP - 3271 ER -