Single Molecule Studies Enabled by Model-Based Controller Design

Shreyas Bhaban, Saurav Talukdar, Min-Gang Li, Tom S Hays, Peter J Seiler Jr, murti v salapaka

Research output: Contribution to journalArticle

Abstract

Optical tweezers have enabled important insights into intracellular transport through the investigation of motor proteins, with their ability to manipulate particles at the microscale, affording femto newton force resolution. Its use to realize a constant force clamp has enabled vital insights into the behavior of motor proteins under different load conditions. However, the varying nature of disturbances and the effect of thermal noise pose key challenges to force regulation. Furthermore, often the main aim of many studies is to determine the motion of the motor and the statistics related to the motion, which can be at odds with the force regulation objective. In this paper, we propose a mixed objective H-2/H∞ optimization framework using a model-based design, that achieves the dual goals of force regulation and real-time motion estimation with quantifiable guarantees. Here, we minimize the H∞ norm for the force regulation and error in step estimation while maintaining the H2 norm of the noise on step estimate within user specified bounds. We demonstrate the efficacy of the framework through extensive simulations and an experimental implementation using an optical tweezer setup with live samples of the motor protein 'kinesin', where regulation of forces below 1 piconewton with errors below 10 is obtained while simultaneously providing real-time estimates of motor motion.

Original languageEnglish (US)
Article number8401903
Pages (from-to)1532-1542
Number of pages11
JournalIEEE/ASME Transactions on Mechatronics
Volume23
Issue number4
DOIs
StatePublished - Aug 1 2018

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Controllers
Molecules
Optical tweezers
Proteins
Thermal noise
Clamping devices
Motion estimation
Statistics

Keywords

  • Acousto-optic deflector (AOD)
  • intracellular transport
  • kinesin motility assay
  • mixed objective H2/H∞ optimization
  • molecular motor proteins
  • optical force clamp
  • optical trapping
  • system identification

Cite this

Single Molecule Studies Enabled by Model-Based Controller Design. / Bhaban, Shreyas; Talukdar, Saurav; Li, Min-Gang; Hays, Tom S; Seiler Jr, Peter J; salapaka, murti v.

In: IEEE/ASME Transactions on Mechatronics, Vol. 23, No. 4, 8401903, 01.08.2018, p. 1532-1542.

Research output: Contribution to journalArticle

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