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Related Concept Videos

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Children at play often make suspensions such as mixtures of mud and water, flour and water, or a suspension of solid pigments in water known as tempera paint. These suspensions are heterogeneous mixtures composed of relatively large particles that are visible to the naked eye or can be seen with a magnifying glass. They are cloudy, and the suspended particles settle out after mixing. On the other hand, a solution is a homogeneous mixture in which no settling occurs and in which the dissolved...
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The high insolubility of some precipitates can result in an unfavorable relative supersaturation. This can lead to colloidal particles with a large surface-to-mass ratio, where adsorption is promoted. For instance, in the precipitation of silver chloride, silver ions are adsorbed on the surface of the colloidal particles, forming a primary layer. This layer attracts ions of opposite charge (such as nitrate ions), forming a diffuse secondary layer of adsorbed ions. This electric double layer...
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Optimization problems often involve identifying maximum or minimum values under specific constraints. A well-known example is determining the longest horizontal pipe that can be moved around a right-angled corner, where a 3-meter-wide hallway meets a 2-meter-wide hallway. This scenario, common in architectural design and industrial transport, can be understood conceptually through geometric and trigonometric reasoning.To visualize the problem, consider the pipe as a straight line that touches...
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The optimal arousal theory suggests that performance is maximized when an individual experiences a moderate level of arousal. This theory is closely tied to the Yerkes-Dodson law, which illustrates an inverted U-shaped relationship between arousal and performance. The law, formulated by psychologists Robert Yerkes and John Dodson, implies an ideal arousal level for optimal performance, and deviations from this level can lead to declines in effectiveness.
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Endoscopic Approach for Colloid Cyst Resection
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Optimal Navigation of Self-Propelled Colloids.

Yuguang Yang1, Michael A Bevan1

  • 1Chemical & Biomolecular Engineering , Johns Hopkins University , Baltimore , Maryland 21218 , United States.

ACS Nano
|September 26, 2018
PubMed
Summary

We developed a feedback control strategy to precisely navigate self-propelled colloids in complex environments. This method optimizes movement by adjusting propulsion based on real-time position and orientation, minimizing travel time.

Keywords:
Markov decision processactive colloidsfeedback controlfirst passage timefractal mazes

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Area of Science:

  • Physics, Soft Matter
  • Chemical Engineering
  • Robotics and Control Systems

Background:

  • Self-propelled Brownian colloids are crucial for applications like drug delivery and oil recovery.
  • Navigating these particles in complex microstructured environments, such as porous media and tumor vasculature, presents significant challenges.
  • Real-time control of colloid position and orientation is essential for targeted applications.

Purpose of the Study:

  • To develop and analyze a feedback control strategy for navigating self-propelled colloids in free space and complex mazes.
  • To determine optimal control policies for minimizing navigation time using a Markov decision process framework.
  • To investigate the influence of various parameters on navigation performance.

Main Methods:

  • A feedback control strategy actuating propulsion magnitude via light intensity based on real-time sensing of colloid position and orientation.
  • Utilizing a Markov decision process (MDP) framework to model stochastic rod dynamics, including self-propulsion, diffusion, and maze interactions.
  • Analyzing optimal control policies for both free-space and maze navigation scenarios.

Main Results:

  • The optimal policy for free-space navigation simplifies to actuating propulsion only when the colloid points towards the target.
  • In mazes, optimal policies globally follow shortest geometric paths but locally use propulsion to either advance towards the target or intentionally collide with maze features.
  • Navigation performance is sensitive to maze size, propulsion speed, control update frequency, and particle diffusion characteristics.

Conclusions:

  • Feedback control offers an effective strategy for navigating self-propelled colloids in complex environments.
  • Optimal control policies balance global path following with local maneuvers, including strategic collisions, to enhance navigation efficiency.
  • Understanding the interplay of environmental factors and particle dynamics is key to optimizing colloid navigation for applications.