Parkinson's disease (PD) is a neurodegenerative disorder characterized by increased response times leading to a variety of biomechanical symptoms, such as tremors, stooping, and gait instability. Although the deterioration in biomechanical control can intuitively be related to sluggish response times, how the delay leads to such biomechanical symptoms as tremor is not yet understood. Only recently has it been explained from the perspective of feedback control theory that delay beyond a threshold can be the cause of Parkinsonian tremor (Palanthandalam-Madapusi and Goyal, 2011, “Is Parkinsonian Tremor a Limit Cycle?” J. Mech. Med. Biol., 11(5), pp. 1017–1023). The present paper correlates several observations from this perspective to clinical facts and reinforces them with simple numerical and experimental examples. Thus, the present work provides a framework toward developing a deeper conceptual understanding of the mechanism behind PD symptoms. Furthermore, it lays a foundation for developing tools for diagnosis and progress tracking of the disease by identifying some key trends.

References

1.
Jankovic
,
J.
,
2008
, “
Parkinson's Disease: Clinical Features and Diagnosis
,”
J. Neurol. Neurosurg. Psychiatry
,
79
(
4
), pp.
368
376
.
2.
Parkinson
,
J.
,
2002
, “
An Essay on the Shaking Palsy
,”
J. Neuropsychiatry Clin. Neurosci.
,
14
(
2
), pp.
223
236
.
3.
Helmich
,
R. C.
,
Hallett
,
M.
,
Deuschl
,
G.
,
Toni
,
I.
, and
Bloem
,
B. R.
,
2012
, “
Cerebral Causes and Consequences of Parkinsonian Resting Tremor: A Tale of Two Circuits?
,”
Brain
,
135
(
11
), pp.
3206
3226
.
4.
Hallett
,
M.
,
2012
, “
Parkinson's Disease Tremor: Pathophysiology
,”
Parkinsonism Relat. Disord.
,
18
(
Supplement 1
), pp.
S85
S86
.
5.
Santens
,
P.
,
Boon
,
P.
,
Van Roost
,
D.
, and
Caemaert
,
J.
,
2003
, “
The Pathophysiology of Motors Symptoms in Parkinson's Disease
,”
Acta Neurol. Belg.
,
103
(
3
), pp.
129
134
.
6.
Marsden
,
C.
,
1989
, “
Slowness of Movement in Parkinson's Disease
,”
Mov. Disor.
,
4
(S
1
), pp.
S26
S37
.
7.
Wilson
,
S. A. K.
,
1925
, “
The Croonian Lectures on Some Disorders of Motility and of Muscle Tone, With Special Reference to the Corpus Striatum
,”
Lancet
,
206
(
5314
), pp.
1
10
.
8.
Heilman
,
K. M.
,
Bowers
,
D.
,
Watson
,
R. T.
, and
Greer
,
M.
,
1976
, “
Reaction Times in Parkinson Disease
,”
Arch. Neurol.
,
33
(
2
), pp.
139
140
.
9.
Evarts
,
E.
,
Teräväinen
,
H.
, and
Calne
,
D.
,
1981
, “
Reaction Time in Parkinson's Disease
,”
Brain J. Neurol.
,
104
(
1
), pp.
167
186
.
10.
Paunikar
,
V. M.
,
Shastri
,
N.
, and
Baig
,
M. N.
,
2012
, “
Effect of Parkinson's Disease on Audiovisual Reaction Time in Indian Population
,”
Int. J. Biol. Med. Res.
,
3
(
1
), pp.
1392
1396
.
11.
Bloxham
,
C.
,
Dick
,
D.
, and
Moore
,
M.
,
1987
, “
Reaction Times and Attention in Parkinson's Disease
,”
J. Neurol. Neurosurg. Psychiatry
,
50
(
9
), pp.
1178
1183
.
12.
Beuter
,
A.
,
2003
,
Nonlinear Dynamics in Physiology and Medicine
(Interdisciplinary Applied Mathematics),
Springer
,
Heidelberg, Germany
.
13.
Moro
,
E.
, and
Lang
,
A. E.
,
2006
, “
Criteria for Deep-Brain Stimulation in Parkinson's Disease: Review and Analysis
,”
Expert Rev. Neurother.
,
6
(
11
), pp.
1695
1705
.
14.
Modolo
,
J.
, and
Beuter
,
A.
,
2009
, “
Linking Brain Dynamics, Neural Mechanisms, and Deep Brain Stimulation in Parkinson's Disease: An Integrated Perspective
,”
Med. Eng. Phys.
,
31
(
6
), pp.
615
623
.
15.
Austin
,
G.
, and
Tsai
,
C.
,
1962
, “
A Physiological Basis and Development of a Model for Parkinsonian Tremor
,”
Stereotactic Funct. Neurosurg.
,
22
(
3–5
), pp.
248
258
.
16.
Palanthandalam-Madapusi
,
H. J.
, and
Goyal
,
S.
,
2011
, “
Is Parkinsonian Tremor a Limit Cycle?
,”
J. Mech. Med. Biol.
,
11
(
5
), pp.
1017
1023
.
17.
Chagdes
,
J. R.
,
Rietdyk
,
S.
,
Haddad
,
J. M.
,
Zelaznik
,
H. N.
,
Raman
,
A.
,
Denomme
,
L.
, and
Cinelli
,
M. E.
,
2013
, “
Dynamic Stability of a Human Standing on a Balance Board
,”
J. Biomech.
,
46
(
15
), pp.
2593
2602
.
18.
Chagdes
,
J. R.
,
Huber
,
J. E.
,
Saletta
,
M.
,
Darling-White
,
M.
,
Raman
,
A.
,
Rietdyk
,
S.
,
Zelaznik
,
H. N.
, and
Haddad
,
J. M.
,
2016
, “
The Relationship Between Intermittent Limit Cycles and Postural Instability Associated With Parkinson's Disease
,”
J. Sport Health Sci.
,
5
(
1
), pp.
14
24
.
19.
Chagdes
,
J. R.
,
Rietdyk
,
S.
,
Haddad
,
J. M.
,
Zelaznik
,
H. N.
,
Cinelli
,
M. E.
,
Denomme
,
L. T.
,
Powers
,
K. C.
, and
Raman
,
A.
,
2016
, “
Limit Cycle Oscillations in Standing Human Posture
,”
J. Biomech.
,
49
(
7
) pp.
1170
1179
.
20.
Manasa
,
B.
,
Dolores
,
J.
,
Goyal
,
S.
, and
Palanthandalam-Madapusi
,
H.
,
2014
, “
Modeling and Simulations of Biomechanical Symptoms of Parkinson's Disease
,”
Biophys. J.
,
106
(
2
), pp.
794a
795a
.
21.
Sun
,
J.
, and
Voglewede
,
P. A.
,
2014
, “
Dynamic Simulation of Human Gait Using a Combination of Model Predictive and PID Control
,”
ASME
Paper No. DETC2014-35582.
22.
Sun
,
J.
,
Wu
,
S.
, and
Voglewede
,
P. A.
,
2015
, “
The Development of a Human Gait Model With Predictive Capability and the Simulation of Able-Bodied Gait
,”
ASME
Paper No. DETC2015-47382.
23.
Edwards
,
R.
,
Beuter
,
A.
, and
Glass
,
L.
,
1999
, “
Parkinsonian Tremor and Simplification in Network Dynamics
,”
Bull. Math. Biol.
,
61
(
1
), pp.
157
177
.
24.
Franklin
,
G.
,
Powell
,
J.
, and
Emami-Naeini
,
A.
,
2010
,
Feedback Control of Dynamic Systems
(Alternative Etext Formats),
Pearson Higher Education, Inc.
,
Upper Saddle River, NJ
07458.
25.
Beuter
,
A.
,
Bélair
,
J.
,
Labrie
,
C.
, and
Bélair
,
J.
,
1993
, “
Feedback and Delays in Neurological Diseases: A Modeling Study Using Dynamical Systems
,”
Bull. Math. Biol.
,
55
(
3
), pp.
525
541
.
26.
Cooper
,
I. S.
,
1953
, “
Ligation of the Anterior Choroidal Artery for Involuntary Movements-Parkinsonism
,”
Psychiatr. Q.
,
27
(
1–4
), pp.
317
319
.
27.
Hornyak
,
M.
,
Rovit
,
R. L.
,
Simon
,
A. S.
, and
Couldwell
,
W. T.
,
2001
, “
Irving S. Cooper and the Early Surgical Management of Movement Disorders
,”
Neurosurg. Focus
,
11
(
2
), pp.
1
5
.
28.
Hellwig
,
B.
,
Mund
,
P.
,
Schelter
,
B.
,
Guschlbauer
,
B.
,
Timmer
,
J.
, and
Lücking
,
C.
,
2009
, “
A Longitudinal Study of Tremor Frequencies in Parkinson's Disease and Essential Tremor
,”
Clin. Neurophysiol.
,
120
(
2
), pp.
431
435
.
29.
Ljung
,
L.
,
1999
,
System Identification: Theory for the User
,
Prentice Hall
,
Upper Saddle River, NJ
.
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