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In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
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A servo system exemplifies a second-order system, featuring a proportional controller and load elements that ensure the output position aligns with the input position. The relationship between these components is described by a second-order differential equation. Applying the Laplace transform under zero initial conditions yields the transfer function, showing how inputs are converted to outputs in the system.
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Expression and Purification of Virus-like Particles for Vaccination
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Cell-free systems for vaccine production.

Nhat Le Bui1, Khanh Linh Nguyen1, Bao Phan Van2

  • 1The Interdisciplinary Research Group on Biomedicine and Health, International School, Vietnam National University, Hanoi, Vietnam; Faculty of Applied Sciences, International School, Vietnam National University, Hanoi, Vietnam.

Progress in Molecular Biology and Translational Science
|February 13, 2026
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Cell-free systems synthesize proteins in vitro, offering speed and safety advantages for biomedical research. Innovations in cell-free technology enhance vaccine development and production for challenging pathogens.

Keywords:
Cell-free systemsMRNA vaccineVaccine developmentVaccine production

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Area of Science:

  • Biotechnology
  • Molecular Biology
  • Vaccinology

Background:

  • Cell-free (CF) systems utilize cellular machinery (tRNAs, ribosomes, polymerase) for in vitro protein synthesis.
  • CF systems provide advantages over cell-based methods, including speed, biosafety, and portability.
  • These systems are valuable for biosensing, diagnostics, protein production, synthetic biology, and vaccine development.

Purpose of the Study:

  • To provide a comprehensive overview of cell-free system applications in biomedical sciences.
  • To emphasize the role of CF systems in vaccine development and production.
  • To discuss innovations addressing current limitations of CF platforms.

Main Methods:

  • Review of existing literature on cell-free systems and their applications.
  • Analysis of successful antigen expression from challenging pathogens (e.g., Plasmodium falciparum, Chlamydia muridarum, SARS-CoV-2).
  • Exploration of emerging solutions for CF platform limitations.

Main Results:

  • CF systems demonstrate successful antigen expression for difficult pathogens.
  • Identified limitations include lack of post-translational modifications, endotoxin presence, and high cost.
  • Promising innovations include glycoengineering, freeze-drying, exosome-based delivery, and machine learning integration.

Conclusions:

  • Cell-free systems are a powerful and versatile platform for biomedical research and vaccine development.
  • Innovations are actively addressing CF system limitations to expand their utility.
  • Future directions involve advanced engineering and AI integration for optimized CF production pipelines.