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The situated HKB model: how sensorimotor spatial coupling can alter oscillatory brain dynamics.

Aguilera M, Bedia MG, Santos BA, Barandiaran XE - Front Comput Neurosci (2013)

Bottom Line: These results are compared with two different models: a decoupled HKB with no sensory input and a passively-coupled HKB that is also decoupled but receives a structured input generated by a situated agent.We also present the notion of neurodynamic signature as the dynamic pattern that correlates with a specific behavior and we show how only a situated agent can display this signature compared to an agent that simply receives the exact same sensory input.Finally, we discuss the limitations and possible generalization of our model to contemporary neuroscience and philosophy of mind.

View Article: PubMed Central - PubMed

Affiliation: Department of Computer Science and Engineering Systems, University of Zaragoza Zaragoza, Spain.

ABSTRACT
Despite the increase of both dynamic and embodied/situated approaches in cognitive science, there is still little research on how coordination dynamics under a closed sensorimotor loop might induce qualitatively different patterns of neural oscillations compared to those found in isolated systems. We take as a departure point the Haken-Kelso-Bunz (HKB) model, a generic model for dynamic coordination between two oscillatory components, which has proven useful for a vast range of applications in cognitive science and whose dynamical properties are well understood. In order to explore the properties of this model under closed sensorimotor conditions we present what we call the situated HKB model: a robotic model that performs a gradient climbing task and whose "brain" is modeled by the HKB equation. We solve the differential equations that define the agent-environment coupling for increasing values of the agent's sensitivity (sensor gain), finding different behavioral strategies. These results are compared with two different models: a decoupled HKB with no sensory input and a passively-coupled HKB that is also decoupled but receives a structured input generated by a situated agent. We can precisely quantify and qualitatively describe how the properties of the system, when studied in coupled conditions, radically change in a manner that cannot be deduced from the decoupled HKB models alone. We also present the notion of neurodynamic signature as the dynamic pattern that correlates with a specific behavior and we show how only a situated agent can display this signature compared to an agent that simply receives the exact same sensory input. To our knowledge, this is the first analytical solution of the HKB equation in a sensorimotor loop and qualitative and quantitative analytic comparison of spatially coupled vs. decoupled oscillatory controllers. Finally, we discuss the limitations and possible generalization of our model to contemporary neuroscience and philosophy of mind.

No MeSH data available.


Related in: MedlinePlus

Eigenvalues for the decoupled HKB (λ4): Force of the attraction/repulsion vs. variation of the control parameter s. Real part (solid), Imaginary part (dashed).
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Figure 7: Eigenvalues for the decoupled HKB (λ4): Force of the attraction/repulsion vs. variation of the control parameter s. Real part (solid), Imaginary part (dashed).

Mentions: It is easy to see that, for this equation, two fixed points (or equilibrium points) are obtained by finding which values of φ make = 0. The fixed or equilibrium points are found at φ = 0.11 and φ = 2.53. Computing the Jacobian matrix of the equation for these values of φ, J(0.11) = −8.87 (attractor), and J(2.53) = 2.75 (repeller), provides us the values for the eigenvalue of the decoupled HKB at each point (denoted as λ4 and represented in Figure 7).


The situated HKB model: how sensorimotor spatial coupling can alter oscillatory brain dynamics.

Aguilera M, Bedia MG, Santos BA, Barandiaran XE - Front Comput Neurosci (2013)

Eigenvalues for the decoupled HKB (λ4): Force of the attraction/repulsion vs. variation of the control parameter s. Real part (solid), Imaginary part (dashed).
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC3750630&req=5

Figure 7: Eigenvalues for the decoupled HKB (λ4): Force of the attraction/repulsion vs. variation of the control parameter s. Real part (solid), Imaginary part (dashed).
Mentions: It is easy to see that, for this equation, two fixed points (or equilibrium points) are obtained by finding which values of φ make = 0. The fixed or equilibrium points are found at φ = 0.11 and φ = 2.53. Computing the Jacobian matrix of the equation for these values of φ, J(0.11) = −8.87 (attractor), and J(2.53) = 2.75 (repeller), provides us the values for the eigenvalue of the decoupled HKB at each point (denoted as λ4 and represented in Figure 7).

Bottom Line: These results are compared with two different models: a decoupled HKB with no sensory input and a passively-coupled HKB that is also decoupled but receives a structured input generated by a situated agent.We also present the notion of neurodynamic signature as the dynamic pattern that correlates with a specific behavior and we show how only a situated agent can display this signature compared to an agent that simply receives the exact same sensory input.Finally, we discuss the limitations and possible generalization of our model to contemporary neuroscience and philosophy of mind.

View Article: PubMed Central - PubMed

Affiliation: Department of Computer Science and Engineering Systems, University of Zaragoza Zaragoza, Spain.

ABSTRACT
Despite the increase of both dynamic and embodied/situated approaches in cognitive science, there is still little research on how coordination dynamics under a closed sensorimotor loop might induce qualitatively different patterns of neural oscillations compared to those found in isolated systems. We take as a departure point the Haken-Kelso-Bunz (HKB) model, a generic model for dynamic coordination between two oscillatory components, which has proven useful for a vast range of applications in cognitive science and whose dynamical properties are well understood. In order to explore the properties of this model under closed sensorimotor conditions we present what we call the situated HKB model: a robotic model that performs a gradient climbing task and whose "brain" is modeled by the HKB equation. We solve the differential equations that define the agent-environment coupling for increasing values of the agent's sensitivity (sensor gain), finding different behavioral strategies. These results are compared with two different models: a decoupled HKB with no sensory input and a passively-coupled HKB that is also decoupled but receives a structured input generated by a situated agent. We can precisely quantify and qualitatively describe how the properties of the system, when studied in coupled conditions, radically change in a manner that cannot be deduced from the decoupled HKB models alone. We also present the notion of neurodynamic signature as the dynamic pattern that correlates with a specific behavior and we show how only a situated agent can display this signature compared to an agent that simply receives the exact same sensory input. To our knowledge, this is the first analytical solution of the HKB equation in a sensorimotor loop and qualitative and quantitative analytic comparison of spatially coupled vs. decoupled oscillatory controllers. Finally, we discuss the limitations and possible generalization of our model to contemporary neuroscience and philosophy of mind.

No MeSH data available.


Related in: MedlinePlus