Exploration of Various Fractional Order Derivatives in
Parkinson's Disease Dysgraphia Analysis

D 2022

Exploration of Various Fractional Order Derivatives in Parkinson's Disease Dysgraphia Analysis

MUCHA, Jan, Zoltan GALAZ, Jiri MEKYSKA, Marcos FAUNDEZ-ZANUY, Vojtech ZVONCAK et. al.

Basic information

Original name

Exploration of Various Fractional Order Derivatives in Parkinson's Disease Dysgraphia Analysis

Authors

MUCHA, Jan (203 Czech Republic, guarantor), Zoltan GALAZ (203 Czech Republic), Jiri MEKYSKA (203 Czech Republic), Marcos FAUNDEZ-ZANUY (203 Czech Republic), Vojtech ZVONCAK (203 Czech Republic), Zdenek SMEKAL (203 Czech Republic), Luboš BRABENEC (203 Czech Republic, belonging to the institution) and Irena REKTOROVÁ (203 Czech Republic, belonging to the institution)

Edition

CHAM, Intertwining Graphonomics with Human Movements, p. 308-321, 14 pp. 2022

Publisher

SPRINGER INTERNATIONAL PUBLISHING AG

Other information

Language

English

Type of outcome

Stať ve sborníku

Field of Study

30210 Clinical neurology

Country of publisher

Switzerland

Confidentiality degree

není předmětem státního či obchodního tajemství

Publication form

electronic version available online

References:

URL

Impact factor

Impact factor: 0.402 in 2005

RIV identification code

RIV/00216224:14110/22:00132034

Organization unit

Faculty of Medicine

ISBN

978-3-031-19744-4

ISSN

DOI

http://dx.doi.org/10.1007/978-3-031-19745-1_23

UT WoS

000913319000023

Keywords in English

Fractional order derivatives; Fractional calculus; Parkinson's disease; Online handwriting; Handwriting difficulties

Abstract

V originále

Parkinson's disease (PD) is a common neurodegenerative disorder with a prevalence rate estimated to 2.0% for people aged over 65 years. Cardinal motor symptoms of PD such as rigidity and bradykinesia affect the muscles involved in the handwriting process resulting in handwriting abnormalities called PD dysgraphia. Nowadays, online handwritten signal (signal with temporal information) acquired by the digitizing tablets is the most advanced approach of graphomotor difficulties analysis. Although the basic kinematic features were proved to effectively quantify the symptoms of PD dysgraphia, a recent research identified that the theory of fractional calculus can be used to improve the graphomotor difficulties analysis. Therefore, in this study, we follow up on our previous research, and we aim to explore the utilization of various approaches of fractional order derivative (FD) in the analysis of PD dysgraphia. For this purpose, we used the repetitive loops task from the Parkinson's disease handwriting database (PaHaW). Handwritten signals were parametrized by the kinematic features employing three FD approximations: Grunwald-Letnikov's, Riemann-Liouville's, and Caputo's. Results of the correlation analysis revealed a significant relationship between the clinical state and the handwriting features based on the velocity. The extracted features by Caputo's FD approximation outperformed the rest of the analyzed FD approaches. This was also confirmed by the results of the classification analysis, where the best model trained by Caputo's handwriting features resulted in a balanced accuracy of 79.73% with a sensitivity of 83.78% and a specificity of 75.68%.

Links

LX22NPO5107, research and development project

Name: Národní ústav pro neurologický výzkum

Investor: Ministry of Education, Youth and Sports of the CR, 5.1 EXCELES

NU20-04-00294, research and development project

Name: Diagnostika onemocnění s Lewyho tělísky v prodromálním stadiu založená na analýze multimodálních dat

Investor: Ministry of Health of the CR, Diagnostics of Lewy body diseases in prodromal stage based on multimodal data analysis

Citovat

MUCHA, Jan, Zoltan GALAZ, Jiri MEKYSKA, Marcos FAUNDEZ-ZANUY, Vojtech ZVONCAK, Zdenek SMEKAL, Luboš BRABENEC and Irena REKTOROVÁ. Exploration of Various Fractional Order Derivatives in Parkinson's Disease Dysgraphia Analysis. Online. In Cristina Carmona-Duarte, Moises Diaz, Miguel A. Ferrer, Aythami Morales. Intertwining Graphonomics with Human Movements. CHAM: SPRINGER INTERNATIONAL PUBLISHING AG, 2022, p. 308-321. ISBN 978-3-031-19744-4. Available from: https://dx.doi.org/10.1007/978-3-031-19745-1_23.

@inproceedings{2330138,
   author = {Mucha, Jan and Galaz, Zoltan and Mekyska, Jiri and FaundezandZanuy, Marcos and Zvoncak, Vojtech and Smekal, Zdenek and Brabenec, Luboš and Rektorová, Irena},
   address = {CHAM},
   booktitle = {Intertwining Graphonomics with Human Movements},
   doi = {http://dx.doi.org/10.1007/978-3-031-19745-1_23},
   editor = {Cristina Carmona-Duarte, Moises Diaz, Miguel A. Ferrer, Aythami Morales},
   keywords = {Fractional order derivatives; Fractional calculus; Parkinson's disease; Online handwriting; Handwriting difficulties},
   howpublished = {elektronická verze "online"},
   language = {eng},
   location = {CHAM},
   isbn = {978-3-031-19744-4},
   pages = {308-321},
   publisher = {SPRINGER INTERNATIONAL PUBLISHING AG},
   title = {Exploration of Various Fractional Order Derivatives in Parkinson's Disease Dysgraphia Analysis},
   url = {https://link.springer.com/chapter/10.1007/978-3-031-19745-1_23},
   year = {2022}
}

TY  - JOUR
ID  - 2330138
AU  - Mucha, Jan - Galaz, Zoltan - Mekyska, Jiri - Faundez-Zanuy, Marcos - Zvoncak, Vojtech - Smekal, Zdenek - Brabenec, Luboš - Rektorová, Irena
PY  - 2022
TI  - Exploration of Various Fractional Order Derivatives in Parkinson's Disease Dysgraphia Analysis
PB  - SPRINGER INTERNATIONAL PUBLISHING AG
CY  - CHAM
SN  - 9783031197444
KW  - Fractional order derivatives
KW  - Fractional calculus
KW  - Parkinson's disease
KW  - Online handwriting
KW  - Handwriting difficulties
UR  - https://link.springer.com/chapter/10.1007/978-3-031-19745-1_23
N2  - Parkinson's disease (PD) is a common neurodegenerative disorder with a prevalence rate estimated to 2.0% for people aged over 65 years. Cardinal motor symptoms of PD such as rigidity and bradykinesia affect the muscles involved in the handwriting process resulting in handwriting abnormalities called PD dysgraphia. Nowadays, online handwritten signal (signal with temporal information) acquired by the digitizing tablets is the most advanced approach of graphomotor difficulties analysis. Although the basic kinematic features were proved to effectively quantify the symptoms of PD dysgraphia, a recent research identified that the theory of fractional calculus can be used to improve the graphomotor difficulties analysis. Therefore, in this study, we follow up on our previous research, and we aim to explore the utilization of various approaches of fractional order derivative (FD) in the analysis of PD dysgraphia. For this purpose, we used the repetitive loops task from the Parkinson's disease handwriting database (PaHaW). Handwritten signals were parametrized by the kinematic features employing three FD approximations: Grunwald-Letnikov's, Riemann-Liouville's, and Caputo's. Results of the correlation analysis revealed a significant relationship between the clinical state and the handwriting features based on the velocity. The extracted features by Caputo's FD approximation outperformed the rest of the analyzed FD approaches. This was also confirmed by the results of the classification analysis, where the best model trained by Caputo's handwriting features resulted in a balanced accuracy of 79.73% with a sensitivity of 83.78% and a specificity of 75.68%.
ER  -

MUCHA, Jan, Zoltan GALAZ, Jiri MEKYSKA, Marcos FAUNDEZ-ZANUY, Vojtech ZVONCAK, Zdenek SMEKAL, Luboš BRABENEC and Irena REKTOROVÁ. Exploration of Various Fractional Order Derivatives in Parkinson's Disease Dysgraphia Analysis. Online. In Cristina Carmona-Duarte, Moises Diaz, Miguel A. Ferrer, Aythami Morales. \textit{Intertwining Graphonomics with Human Movements}. CHAM: SPRINGER INTERNATIONAL PUBLISHING AG, 2022, p.~308-321. ISBN~978-3-031-19744-4. Available from: https://dx.doi.org/10.1007/978-3-031-19745-1\_{}23.

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