A Parameter Selection for Differentiating Between Healthy and Parkinsonian Gait Through Modeling Parkinson's Disease From a Chaotic Viewpoint
1. | The chaotic nature of the brain that has been verified through regional recordings that have been acquired from the brain. | ||||
2. | The main disorders in the movements of PD patients originate in dysfunction of the basal ganglia. |
Considering the two facts, we propose to model the basal ganglia, using a black-box model that is obtained from one of the well-known chaotic relations so called “sin Circle Map.” We tried to model the disease using the recurrent relation (sin Circle Map) adding some other parameters to the equation, to increase its capability to model the disease. We used the recordings available in the Physionet6 to obtain the model parameters for each of the recordings. Our primary unpublished simulations showed that the range of variability of Omega (Ω) is considerably different in the two groups (healthy versus parkinsonian). Omega (Ω) is the main parameter in the model, and the rest of the system can be based on it.7 Therefore, we think that this parameter is the main factor for the model to show the state of the system (BG), and it can be used for proposing treatments for the disease.
1. : Parkinson's Disease Diagnosis and Clinical Management, 2nd Edition, New York, Demos Medical Publishing, 2008Google Scholar
2. : Studies of normal and abnormal locomotion. Int J Rehabil Res 1979; 2:510–511Crossref, Medline, Google Scholar
3. : Cognitive and personality features in Parkinson disease: two sides of the same coin? Cogn Behav Neurol 2009; 22:258–263Crossref, Medline, Google Scholar
4. : Kinetics of microglial activation and degeneration of dopamine-containing neurons in a rat model of Parkinson disease induced by 6-hydroxydopamine. J Neuropathol Exp Neurol 2009; 68:1092–1102Crossref, Medline, Google Scholar
5. : A new conceptual understanding of brain function: basic mechanisms of brain-initiated normal and pathological behaviors. Crit Rev Neurobiol 2007; 19:119–202Crossref, Medline, Google Scholar
6. http://www.physionet.orgGoogle Scholar
7. : Chaos and Nonlinear Dynamic, 2nd Edition. New York, Oxford University Press, 2000Crossref, Google Scholar