Lecture

Control Theory in Protein Aggregation: Insights and Applications

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Description

This lecture discusses the application of control theory to protein aggregation, particularly focusing on amyloid fibers associated with various diseases. The instructor introduces the concept of control systems, explaining how they regulate the output of dynamical systems. The lecture emphasizes the importance of understanding the mechanisms of protein aggregation and how control theory can help in developing inhibitors to manage this process. The instructor presents mathematical models that describe the dynamics of protein aggregation, including primary and secondary nucleation processes. The discussion extends to the role of liquid condensates in directing aggregation, highlighting how these structures can act as controllers to enhance or inhibit aggregation. Experimental data from model systems, such as C. elegans, is presented to illustrate the effectiveness of different drug administration strategies in controlling aggregation. The lecture concludes with insights into future research directions, including the interplay between chaperones and aggregation processes, and the potential for optimizing control strategies in biological systems.

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Related concepts (32)

Optimal control

Optimal control theory is a branch of mathematical optimization that deals with finding a control for a dynamical system over a period of time such that an objective function is optimized. It has numerous applications in science, engineering and operations research. For example, the dynamical system might be a spacecraft with controls corresponding to rocket thrusters, and the objective might be to reach the moon with minimum fuel expenditure.

Thermodynamics

Thermodynamics is a branch of physics that deals with heat, work, and temperature, and their relation to energy, entropy, and the physical properties of matter and radiation. The behavior of these quantities is governed by the four laws of thermodynamics which convey a quantitative description using measurable macroscopic physical quantities, but may be explained in terms of microscopic constituents by statistical mechanics.

Chaperone (protein)

In molecular biology, molecular chaperones are proteins that assist the conformational folding or unfolding of large proteins or macromolecular protein complexes. There are a number of classes of molecular chaperones, all of which function to assist large proteins in proper protein folding during or after synthesis, and after partial denaturation. Chaperones are also involved in the translocation of proteins for proteolysis. The first molecular chaperones discovered were a type of assembly chaperones which assist in the assembly of nucleosomes from folded histones and DNA.

Laws of thermodynamics

The laws of thermodynamics are a set of scientific laws which define a group of physical quantities, such as temperature, energy, and entropy, that characterize thermodynamic systems in thermodynamic equilibrium. The laws also use various parameters for thermodynamic processes, such as thermodynamic work and heat, and establish relationships between them. They state empirical facts that form a basis of precluding the possibility of certain phenomena, such as perpetual motion.

Stochastic control

Stochastic control or stochastic optimal control is a sub field of control theory that deals with the existence of uncertainty either in observations or in the noise that drives the evolution of the system. The system designer assumes, in a Bayesian probability-driven fashion, that random noise with known probability distribution affects the evolution and observation of the state variables. Stochastic control aims to design the time path of the controlled variables that performs the desired control task with minimum cost, somehow defined, despite the presence of this noise.

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