“…We have developed a model of this key phase of cell division 7 and showed that the results are consistent with the division behaviour observed following the loss of expression of FtsA or ZipA, two components of the Escherichia coli divisome complex. This strongly suggests that the simulation model is a reliable tool to probe the early stages of cytokinesis which critically depend on the Z-ring and its membrane interactions.…”
Section: Introductionsupporting
confidence: 58%
“…The model has been implemented in Mathematica 8 as detailed in our previous paper. 7 In this paper we present the predicted wild-type behaviour and the predicted effects of various perturbations to key biochemical parameters and contrast those predictions with available experimental data.…”
Section: Model Overviewmentioning
confidence: 98%
“…Despite a number of simplifications, CAM-FF makes accurate predictions of cell division behaviour. 7 However, the estimates of timescales of the process, while correct in terms of relative ordering, are too short, for reasons that are discussed below. The model has been implemented in Mathematica 8 as detailed in our previous paper.…”
“…We have developed a model of this key phase of cell division 7 and showed that the results are consistent with the division behaviour observed following the loss of expression of FtsA or ZipA, two components of the Escherichia coli divisome complex. This strongly suggests that the simulation model is a reliable tool to probe the early stages of cytokinesis which critically depend on the Z-ring and its membrane interactions.…”
Section: Introductionsupporting
confidence: 58%
“…The model has been implemented in Mathematica 8 as detailed in our previous paper. 7 In this paper we present the predicted wild-type behaviour and the predicted effects of various perturbations to key biochemical parameters and contrast those predictions with available experimental data.…”
Section: Model Overviewmentioning
confidence: 98%
“…Despite a number of simplifications, CAM-FF makes accurate predictions of cell division behaviour. 7 However, the estimates of timescales of the process, while correct in terms of relative ordering, are too short, for reasons that are discussed below. The model has been implemented in Mathematica 8 as detailed in our previous paper.…”
“…Prior to cell division, the cell elongates to approximately twice its original length while its genetic material is replicated. Once this is complete, filamentous temperature sensitive (Fts) proteins, chief among which is FtsZ, assemble to form the cell division apparatus (divisome) by polymerizing and thus forming the socalled Z-ring, which localises to the middle of the cell [37][38][39] . New cell envelope material is synthesised and the two chromosomes are pulled apart.…”
Section: Cell Division and Growthmentioning
confidence: 99%
“…One good example is the model of bacterial metabolism, where the state variables are metabolite concentrations, gene expression levels, transcription factor activities, metabolic fluxes, and biomass concentration 25 . However, in many cases the aim is not to describe the whole organism but instead to focus on specific subsystems of the cell, such as the assembly of the Z-ring 37 , or the electron transport chains of mitochondria 51 and purple non-sulfur bacteria 52 . Depending on the specific properties of the given biological network under consideration, different formalisms can be employed to simulate its dynamic behaviour.…”
Protein polymerization and bundling play a central role in cell physiology. Predictive modeling of these processes remains an open challenge, especially when the proteins involved become large and their concentrations high. We present an effective kinetics model of filament formation, bundling, and depolymerization after GTP hydrolysis, which involves a relatively small number of species and reactions, and remains robust over a wide range of concentrations and timescales. We apply this general model to study assembly of FtsZ protein, a basic element in the division process of prokaryotic cells such as Escherichia coli, Bacillus subtilis, or Caulobacter crescentus. This analysis demonstrates that our model outperforms its counterparts in terms of both accuracy and computational efficiency. Because our model comprises only 17 ordinary differential equations, its computational cost is orders-of-magnitude smaller than the current alternatives consisting of up to 1000 ordinary differential equations. It also provides, to our knowledge, a new insight into the characteristics and functioning of FtsZ proteins at high concentrations. The simplicity and versatility of our model render it a powerful computational tool, which can be used either as a standalone descriptor of other biopolymers' assembly or as a component in more complete kinetic models.
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