Nonlinear complexity of human biodynamics engine

Ivancevic, Vladimir G.

doi:10.1007/s11071-009-9636-3

Cited by 5 publications

(3 citation statements)

References 33 publications

(67 reference statements)

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“…Further, we define the functional derivative δF /δµ ∈ g by DF (µ) · δµ = < δµ, δF δµ > with arbitrary 'variations' δµ ∈ g * . 32 For general overview of muscular contraction physiology and mechanics, see [105,100]. 33 For a different (financial) application, with a variety of traveling-wave solutions of the NLS (77), including both sech-and tanh-solitons, solved in terms of Jacobi elliptic functions, see [106,107] and references therein.…”

Section: Muscular-contraction Solitons On Poisson Manifoldsmentioning

confidence: 99%

Sine--Gordon Solitons, Kinks and Breathers as Physical Models of Nonlinear Excitations in Living Cellular Structures

Ivancevic¹,

Ivancevic²

2013

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Nonlinear space-time dynamics, defined in terms of celebrated 'solitonic' equations, brings indispensable tools for understanding, prediction and control of complex behaviors in both physical and life sciences. In this paper, we review sine-Gordon solitons, kinks and breathers as models of nonlinear excitations in complex systems in physics and in living cellular structures, both intra-cellular (DNA, protein folding and microtubules) and inter-cellular (neural impulses and muscular contractions).

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Section: Muscular-contraction Solitons On Poisson Manifoldsmentioning

confidence: 99%

Sine--Gordon Solitons, Kinks and Breathers as Physical Models of Nonlinear Excitations in Living Cellular Structures

Ivancevic¹,

Ivancevic²

2013

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“…Its modeling framework was linear dynamics and linear control, that is, linearized mechanics of multi-body systems (derived using Newton-Euler, Lagrangian, Gibs-Appel or kinetostatics equations of motion) and controlled by Kalman's linear quadratic controllers (for a comprehensive review, see [5]- [11]). The pinnacle of this approach to robotics in the last decade has been the famous Honda robot ASIMO (see [12]), with a related Hamiltonian biomechanical simulator [13].…”

Section: Introductionmentioning

confidence: 99%

Hamiltonian Servo: Control and Estimation of a Large Team of Autonomous Robotic Vehicles

Ivancevic¹,

Pourbeik²

2017

ICA

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This paper proposes a novel Hamiltonian servo system, a combined modeling framework for control and estimation of a large team/fleet of autonomous robotic vehicles. The Hamiltonian servo framework represents high-dimensional, nonlinear and non-Gaussian generalization of the classical Kalman servo system. After defining the Kalman servo as a motivation, we define the affine Hamiltonian neural network for adaptive nonlinear control of a team of UGVs in continuous time. We then define a high-dimensional Bayesian particle filter for estimation of a team of UGVs in discrete time. Finally, we formulate a hybrid Hamiltonian servo system by combining the continuous-time control and the discrete-time estimation into a coherent framework that works like a predictor-corrector system.

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“…The theory of neuromusculoskeletal injuries (Ivancevic, ) has been introduced because there are many interactions among the various parts of a system. These interactions may be found between viscoelastic and active tissues under neural control.…”

mentioning

confidence: 99%

Viscoelastic response of the lateral side of the ankle to cyclic inversion: A time course analysis

Malmir

Olyaei

Talebian

et al. 2014

Scandinavian Med Sci Sports

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Although important, viscoelastic behavior of the ankle's lateral side has rarely been studied. The present study assesses the viscoelastic behavior during cyclic inversions. Eighteen recreationally active healthy males underwent 40 passive cyclic inversions using a Biodex dynamometer at 5 °/s through 80% of maximum range of motion. Energy absorption and restitution and dissipation coefficient were calculated for each repetition. Changes in the mean of the dependent variables for repetitions 1 (R1 ), R5 , R10 , R15 , R20 , R25 , R30 , R35 and R40 were compared by three one-way analyses of variance with repeated measures. There was a significant difference between the means of energy absorption for the selected repetitions from R1 to R20 (P < 0.01), but there was no significant difference between them from R20 to R40 (P > 0.05). There was no significant difference between the means of energy restitution for the selected repetitions (P > 0.05). Whereas there was no significant difference consecutively between the means of dissipative coefficient for the selected repetitions (P > 0.05), there was a significant difference between the means of R30 or R40 relative to the baseline (P < 0.005). The decrease in the energy absorbed and the dissipation coefficient following repeated inversions may be due to the slippage of collagen fibers. The decrease in the shock absorbing ability of the tissues may expose them to injury.

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Nonlinear complexity of human biodynamics engine

Cited by 5 publications

References 33 publications

Sine--Gordon Solitons, Kinks and Breathers as Physical Models of Nonlinear Excitations in Living Cellular Structures

Sine--Gordon Solitons, Kinks and Breathers as Physical Models of Nonlinear Excitations in Living Cellular Structures

Hamiltonian Servo: Control and Estimation of a Large Team of Autonomous Robotic Vehicles

Viscoelastic response of the lateral side of the ankle to cyclic inversion: A time course analysis

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