Hybrid stochastic simulations of intracellular reaction-diffusion systems.

With the observation that stochasticity is important in biological systems, chemical kinetics have begun to receive wider interest. While the use of Monte Carlo discrete event simulations most accurately capture the variability of molecular species, they become computationally costly for complex reaction-diffusion systems with large populations of molecules. On the other hand, continuous time models are computationally efficient but they fail to capture any variability in the molecular species. In this study a hybrid stochastic approach is introduced for simulating reaction-diffusion systems. We developed an adaptive partitioning strategy in which processes with high frequency are simulated with deterministic rate-based equations, and those with low frequency using the exact stochastic algorithm of Gillespie. Therefore the stochastic behavior of cellular pathways is preserved while being able to apply it to large populations of molecules. We describe our method and demonstrate its accuracy and efficiency compared with the Gillespie algorithm for two different systems. First, a model of intracellular viral kinetics with two steady states and second, a compartmental model of the postsynaptic spine head for studying the dynamics of Ca+2 and NMDA receptors.

Intracellular signalling by the insulin receptor

The insulin receptor transduces insulin's biological signal through the tyrosine kinase present in the receptor's B subunit. The activated insulin receptor kinase then phosphorylates a series of intracellular substrate including insulin receptor substrate 1 (IRS-1), which has been shown to be the pivotal substrate for insulin receptor signal transduction. The phosphorylated tyrosine residues in IRS-1 can bind and activate the downstream effectors, many of which are SH2 domain containing proteins such as phosphotidylinositol 3-kinase, growth factor binding protein 2, and SH2 phosphotyrosine phosphatase 2. Phosphorylated synthetic IRS-1 peptides with the corresponding sequences of the IRS-1 have been shown to associate and activate their respective SH2 domain containing proteins. Another important event happening during insulin binding with the insulin receptor is that the insulin receptor rapidly undergoes internalization. However, the insulin receptor signalling and the receptor endocytosis have been studied as two independent processes. The hypothesis of the present thesis is that the insulin receptor endocytosis is involved in insulin receptor signalling and signal termination. The results of the present investigation demonstrate that insulin receptors in the earliest stage of endocytosis contain significantly greater kinase activity towards IRS-1 peptides than the receptors localized at the plasma membrane, indicating that they are potentially more capable of transducing signals. On the other hand, insulin receptors in the middle and late stage of endocytosis lose their kinase activity, suggesting that insulin receptor kinase activity inactivation and signal termination might take place in the late phase of the insulin receptor internalization. In addition, this study also found that the increased insulin receptor kinase activity in the endosomes is related to the tyrosyl phosphorylation of the specific domains of the receptor's $\beta$ subunit. ^

Syntaxin 6- and microtubule- mediated intracellular trafficking contributes to Golgi and nuclear translocation of EGFR

Receptor-mediated endocytosis is well known for its degradation and recycling trafficking. Recent evidence shows that these cell surface receptors translocate from cell surface to different cellular compartments, including the Golgi, mitochondria, endoplasmic reticulum (ER), and the nucleus to regulate physiological and pathological functions. Although some trafficking mechanisms have been resolved, the mechanism of intracellular trafficking from cell surface to the Golgi is not yet completed understood. Here we report a mechanism of Golgi translocation of EGFR in which EGF-induced EGFR travels to the Golgi via microtubule (MT)-dependent movement by interacting with dynein and fuses with the Golgi through syntaxin 6 (Syn6)-mediated membrane fusion. We also demonstrate that the Golgi translocation of EGFR is necessary for its consequent nuclear translocation and transcriptional activity. Interestingly, foreign protein such as bacterial cholera toxin, which is known to activate its pathological function through the Golgi/ER retrograde pathway, also utilizes the MT/Syn6 pathway. Thus, the MT, and syntaxin 6 mediated trafficking pathway from cell surface to the Golgi and ER defines a comprehensive retrograde trafficking route for both cellular and foreign molecules to travel from cell surface to the Golgi and the nucleus.