Here we develop an integrative computational framework to model biophysical processes involved in viral gene delivery. The model combines reaction-diffusion-advection equations that describe intracellular trafficking with kinetic equations that describe transcription and translation of the exogenous DNA. It relates molecular-level trafficking events to whole-cell distribution of viruses. The approach makes use of the current understanding of cellular processes and data from single-particle single-cell imaging experiments. The model reveals two important parameters that characterize viral transport at the population level, namely, the effective velocity, V(eff), and the effective diffusion coefficient, D(eff). V(eff) measures virus's net movement rate and D(eff) represents the total dispersion rate. We employ the model to study the influence of microtubule-mediated movements on nuclear targeting and gene expression of adenoviruses of type 2 and type 5 in HeLa and A549 cells. Effects of microtubule organization and the presence of microtubule-destabilizing drugs on viral transport were analyzed and quantified. Model predictions agree well with experimental data available in literature. The paper serves as a guide for future theoretical and experimental efforts to understand viral gene delivery.
A major challenge in synthetic gene delivery is to quantitatively predict the optimal design of polymer-based gene carriers (polyplexes). Here, we report a consistent, integrated, and fundamentally grounded computational methodology to address this challenge. This is achieved by accurately representing the spatio-temporal dynamics of intracellular structures and by describing the interactions between gene carriers and cellular components at a discrete, nanoscale level. This enables the applications of systems tools such as optimization and sensitivity analysis to search for the best combination of systems parameters. We validate the approach using DNA delivery by polyethylenimine as an example. We show that the cell topology (e.g., size, circularity, and dimensionality) strongly influences the spatiotemporal distribution of gene carriers, and consequently, their optimal intracellular pathways. The model shows that there exists an upper limit on polyplexes' intracellular delivery efficiency due to their inability to protect DNA until nuclear entry. The model predicts that even for optimally designed polyethylenimine vectors, only approximately 1% of total DNA is delivered to the nucleus. Based on comparison with gene delivery by viruses, the model suggests possible strategies to significantly improve transfection efficiencies of synthetic gene vectors.
Here we report on a generalized theory of spatial patterns of intracellular organelles, which are controlled by cells using cytoskeleton-based movements powered by molecular motors. The theory reveals that organelles exhibit one of the four distinct, stable patterns, namely aggregation, hyperdispersion, radial dispersion, and areal dispersion. Existence of specific patterns is determined by the contributions from three transport mechanisms, characterized by two Peclet numbers. The predicted patterns compare well with experimental data. This study provides a firm theoretical ground for classification of spatial patterns of organelles and understanding their regulation by cells.
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