ORCID

https://orcid.org/0009-0005-5086-5592

Date of Award

Spring 5-10-2025

Author's School

McKelvey School of Engineering

Author's Department

Mechanical Engineering & Materials Science

Degree Name

Master of Science (MS)

Degree Type

Thesis

Abstract

Biomolecular condensates are viscoelastic materials formed by liquid-liquid phase separations (LLPS) of biopolymers. In this study, we develop a modified graph Laplacian-based collective model to characterize viscoelastic heterogeneity within condensates based on results of lattice-based Metropolis Monte Carlo (MMC) simulations. By integrating random graph models and simulations of A1-LCD, a type of intrinsically disordered protein, we examine how network topology influences storage modulus, loss modulus, crossover frequency, and relaxation time spectra. Our results reveal a strong correlation between topological features and mechanical response, with the condensate interior exhibiting higher stiffness and faster relaxation than the interface. The relaxation spectra provide rich insights into dynamic behavior beyond what moduli alone can capture. This framework offers a scalable, interpretable approach for quantifying spatial viscoelasticity in biomolecular assemblies.

Language

English (en)

Chair

Rohit V. Pappu

Committee Members

Amit Pathak, Guy Genin

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