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We introduce a lattice framework that incorporates elements of Flory–Huggins solution theory and the q-state Potts model to study the phase behavior of polymer solutions and single-chain conformational characteristics. Without empirically introducing temperature-dependent interaction parameters, standard Flory–Huggins theory describes systems that are either homogeneous across temperatures or exhibit upper critical solution temperatures. The proposed Flory–Huggins–Potts framework extends these capabilities by predicting lower critical solution temperatures, miscibility loops, and hourglass-shaped spinodal curves. We particularly show that including orientation-dependent interactions, specifically between monomer segments and solvent particles, is alone sufficient to observe such phase behavior. Signatures of emergent phase behavior are found in single-chain Monte Carlo simulations, which display heating- and cooling-induced coil–globule transitions linked to energy fluctuations. The framework also capably describes a range of experimental systems. Importantly, and by contrast to many prior theoretical approaches, the framework does not employ any temperature- or composition-dependent parameters. This work provides new insights regarding the microscopic physics that underpin complex thermoresponsive behavior in polymers.
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Controlling Microbial Dynamics through Selective Solute Transport across Functional Nanocultures
The need for assessment tools for microbial dynamics has necessitated the miniaturization of cell-culturing techniques, and the design of microsystems that facilitate the interrogation of microorganisms in-well-defined environments. The nanocultures, as described in this work, are such an assessment tool: nanoliter-sized microcapsules generated using a flow-focusing microfluidic device to sequester and cultivate microbes in a high-throughput manner. By manipulating the chemistry of their polymeric shell, the nanocultures can be designed to achieve functionalities, such as selective permeability, facilitating the transport of metabolites and other small molecules essential to control cell growth and to characterize community dynamics. In this work, the transport properties of a poly(dimethylsiloxane)-based membrane functionalized with N,N-dimethylallylamine (DMAA) have been examined by investigating the diffusion of selected molecules relevant to controlling cell dynamics, including antimicrobials, fluorescent staining probes, and sugars. Furthermore, the Flory–Huggins interaction parameter was evaluated as a predictive tool to elucidate the partitioning and transport of selected molecules into the nanocultures. Diffusion of molecules was confirmed experimentally by generating nanocultures containing Escherichia coli cells, whereby cell growth was used as a proxy for determination of successful molecule diffusion. In our study, we determined that the Flory–Huggins interaction parameters can accurately predict the diffusion of a subset of molecules across PDMS membrane, notably, those with an interaction parameter below a designated critical threshold. However, the prediction becomes less accurate as interaction parameters increased. Overall, these findings will pave the way in our understanding of effectively using the nanocultures to study complex synergistic and antagonistic microbial behaviors in both natural and synthetic communities, with the goal of better simulating natural microenvironments and increasing discoverability of unknown molecules that are relevant to complex microbial communities.
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- Award ID(s):
- 2104731
- PAR ID:
- 10324521
- Date Published:
- Journal Name:
- ACS Applied Polymer Materials
- ISSN:
- 2637-6105
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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- Free Publicly Accessible Full Text
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Accepted Manuscript1.0
- Journal Article:
- https://doi.org/10.1021/acsapm.1c01422
