TY  - JOUR
A1  - Rusconi, Marco
A1  - Valleriani, Angelo
A1  - Dunlop, John William Chapman
A1  - Kurths, Jürgen
A1  - Weinkamer, Richard
T1  - Quantitative approach to the stochastics of bone remodeling
JF  - epl : a letters journal exploring the frontiers of physics
N2  - During life bones constantly adapt their structure to their mechanical environment via a mechanically controlled process called bone remodeling. For trabecular bone, this process modifies the thickness of each trabecula leading occasionally to full resorption. We describe the irreversible dynamics of the trabecular thickness distribution (TTD) by means of a Markov chain discrete in space and time. By using thickness data from adult patients, we derive the transition probabilities in the chain. This allows a quantification, in terms of geometrical quantities, of the control of bone remodeling and thus to determine the evolution of the TTD with age.
Y1  - 2012
U6  - https://doi.org/10.1209/0295-5075/97/28009
SN  - 0295-5075
VL  - 97
IS  - 2
PB  - EDP Sciences
CY  - Mulhouse
ER  - 
TY  - JOUR
A1  - Bettenbühl, Mario
A1  - Rusconi, Marco
A1  - Engbert, Ralf
A1  - Holschneider, Matthias
T1  - Bayesian selection of Markov Models for symbol sequences  application to microsaccadic eye movements
JF  - PLoS one
N2  - Complex biological dynamics often generate sequences of discrete events which can be described as a Markov process. The order of the underlying Markovian stochastic process is fundamental for characterizing statistical dependencies within sequences. As an example for this class of biological systems, we investigate the Markov order of sequences of microsaccadic eye movements from human observers. We calculate the integrated likelihood of a given sequence for various orders of the Markov process and use this in a Bayesian framework for statistical inference on the Markov order. Our analysis shows that data from most participants are best explained by a first-order Markov process. This is compatible with recent findings of a statistical coupling of subsequent microsaccade orientations. Our method might prove to be useful for a broad class of biological systems.
Y1  - 2012
U6  - https://doi.org/10.1371/journal.pone.0043388
SN  - 1932-6203
VL  - 7
IS  - 9
PB  - PLoS
CY  - San Fransisco
ER  - 
TY  - JOUR
A1  - Rusconi, Marco
A1  - Valleriani, Angelo
A1  - Dunlop, John William Chapman
A1  - Kurths, Jürgen
A1  - Weinkamer, Richard
T1  - Insights into the control of trabecular bone remodelling obtained by a Markov model
Y1  - 2009
UR  - http://www.sciencedirect.com/science/journal/87563282
U6  - https://doi.org/10.1016/j.bone.2009.03.467
SN  - 8756-3282
ER  -