Analysis of MinD mutations reveals residues required for MinE stimulation of the MinD ATPase and residues required for MinC interaction

The MinD ATPase is critical to the oscillation of the Min proteins, which limits formation of the Z ring to midcell. In the presence of ATP, MinD binds to the membrane and recruits MinC, forming a complex that can destabilize the cytokinetic Z ring. MinE, which is also recruited to the membrane by MinD, displaces MinC and stimulates the MinD ATPase, resulting in the oscillation of the Min proteins. In this study we have investigated the role of lysine 11, present in the deviant Walker A motif of MinD, and the three residues in helix 7 (E146, S148, and D152) that interact electrostatically with lysine 11. Lysine 11 is required for interaction of MinD with the membrane, MinC, MinE, and itself. In contrast, the three residues in helix 7 that interact with lysine 11 are not required for binding to the membrane or activation of MinC. They are also not required for MinE binding; however, they are required for MinE to stimulate the MinD ATPase. Interestingly, the D152A mutant self-interacts, binds to the membrane, and recruits MinC and MinE in the presence of ADP as well as ATP. This mutant provides evidence that dimerization of MinD is sufficient for MinD to bind the membrane and recruit its partners.     

Mutual effects of MinD-membrane interaction: II. Domain structure of the membrane enhances MinD binding

MinD, a well-conserved bacterial amphitropic protein involved in spatial regulation of cell division, has a typical feature of reversible binding to the membrane. MinD shows a clear preference for acidic phospholipids organized into lipid domains in bacterial membrane. We have shown that binding of MinD may change the dynamics of model and native membranes (see accompanying paper [1]). On the other hand, MinD dimerization and anchoring could be enhanced on pre-existing anionic phospholipid domains. We have tested MinD binding to model membranes in which acidic and zwitterionic phospholipids are either well-mixed or segregated to phase domains. The phase separation was achieved in binary mixtures of 1-Stearoyl-2-Oleoyl-sn-Glycero-3-[Phospho-rac-(1-glycerol] (SOPG) with 1,2-Distearoyl-sn-Glycero-3-Phosphocholine (DSPC) or 1,2-Distearoyl-sn-Glycero-3-[Phospho-rac-(1-glycerol)] (DSPG) and binding to these membranes was compared with that to a fluid mixture of SOPG with 1-Stearoyl-2-Oleoyl-sn-Glycero-3-Phosphocholine (SOPC). The results demonstrate that MinD binding to the membrane is enhanced by segregation of anionic phospholipids to fluid domains in a gel-phase environment and, moreover, the protein stabilizes such domains. This suggests that an uneven binding of MinD to the heterogeneous native membrane is possible, leading to formation of a lipid-specific distribution pattern of MinD and/or modulation of its temporal behavior.     

Effects of phospholipid composition on MinD-membrane interactions in vitro and in vivo

The peripheral membrane ATPase MinD is a component of the Min system responsible for correct placement of the division site in Escherichia coli cells. By rapidly migrating from one cell pole to the other, MinD helps to block unwanted septation events at the poles. MinD is an amphitropic protein that is localized to the membrane in its ATP-bound form. A C-terminal domain essential for membrane localization is predicted to be an amphipathic alpha-helix with hydrophobic residues interacting with lipid acyl chains and cationic residues on the opposite face of the helix interacting with the head groups of anionic phospholipids (Szeto, T. H., Rowland, S. L., Rothfield, L. I., and King, G. F. (2002) Proc. Natl. Acad. Sci. U. S. A. 99, 15693-15698). To investigate whether E. coli MinD displays a preference for anionic phospholipids, we first examined the localization dynamics of a green fluorescent protein-tagged derivative of MinD expressed in a mutant of E. coli that lacks phosphatidylethanolamine. In these cells, which contain only anionic phospholipids (phosphatidylglycerol and cardiolipin), green fluorescent protein-MinD assembled into dynamic focal clusters instead of the broad zones typical of cells with normal phospholipid content. In experiments with liposomes composed of only zwitterionic, only anionic, or a mixture of anionic and zwitterionic phospholipids, purified MinD bound to these liposomes in the presence of ATP with positive cooperativity with respect to the protein concentration and exhibited Hill coefficients of about 2. Oligomerization of MinD on the liposome surface also was detected by fluorescence resonance energy transfer between MinD molecules labeled with different fluorescent probes. The affinity of MinD-ATP for anionic liposomes as well as liposomes composed of both anionic and zwitterionic phospholipids increased 9- and 2-fold, respectively, relative to zwitterionic liposomes. The degree of acyl chain unsaturation contributed positively to binding strength. These results suggest that MinD has a preference for anionic phospholipids and that MinD oscillation behavior, and therefore cell division site selection, may be regulated by membrane phospholipid composition.     

Mechanism of the asymmetric activation of the MinD ATPase by MinE

MinD is a component of the Min system involved in the spatial regulation of cell division. It is an ATPase in the MinD/ParA/Mrp deviant Walker A motif family which is within the P loop GTPase superfamily. Its ATPase activity is stimulated by MinE; however, the mechanism of this activation is unclear. MinD forms a symmetric dimer with two binding sites for MinE; however, a recent model suggested that MinE occupying one site was sufficient for ATP hydrolysis. By generating heterodimers with one binding site for MinE we show that one binding site is sufficient for stimulation of the MinD ATPase. Furthermore, comparison of structures of MinD and related proteins led us to examine the role of N45 in the switch I region. An asparagine at this position is conserved in four of the deviant Walker A motif subfamilies (MinD, chromosomal ParAs, Get3 and FleN) and we find that N45 in MinD is essential for MinE-stimulated ATPase activity and suggest that it is a key residue affected by MinE binding.     

Mutual effects of MinD-membrane interaction: II. Domain structure of the membrane enhances MinD binding

MinD, a well-conserved bacterial amphitropic protein involved in spatial regulation of cell division, has a typical feature of reversible binding to the membrane. MinD shows a clear preference for acidic phospholipids organized into lipid domains in bacterial membrane. We have shown that binding of MinD may change the dynamics of model and native membranes (see accompanying paper [1]). On the other hand, MinD dimerization and anchoring could be enhanced on pre-existing anionic phospholipid domains. We have tested MinD binding to model membranes in which acidic and zwitterionic phospholipids are either well-mixed or segregated to phase domains. The phase separation was achieved in binary mixtures of 1-Stearoyl-2-Oleoyl-sn-Glycero-3-[Phospho-rac-(1-glycerol] (SOPG) with 1,2-Distearoyl-sn-Glycero-3-Phosphocholine (DSPC) or 1,2-Distearoyl-sn-Glycero-3-[Phospho-rac-(1-glycerol)] (DSPG) and binding to these membranes was compared with that to a fluid mixture of SOPG with 1-Stearoyl-2-Oleoyl-sn-Glycero-3-Phosphocholine (SOPC). The results demonstrate that MinD binding to the membrane is enhanced by segregation of anionic phospholipids to fluid domains in a gel-phase environment and, moreover, the protein stabilizes such domains. This suggests that an uneven binding of MinD to the heterogeneous native membrane is possible, leading to formation of a lipid-specific distribution pattern of MinD and/or modulation of its temporal behavior.     

Isolation and characterization of topological specificity mutants of minD in Bacillus subtilis

In rod-shaped bacteria such as Bacillus subtilis, division site selection is mediated by MinC and MinD, which together function as a division inhibitor. Topological specificity is imposed by DivIVA, which ensures that MinCD specifically inhibits division close to the cell poles, while allowing division at mid-cell. MinD plays a central role in this process, as it positions and activates MinC and is dependent on DivIVA for its own positioning at the poles. To investigate MinD activities further, we have constructed and analysed a collection of minD mutants. Mutations in the conserved ATPase motifs lead to an inactive protein, possibly unable to oligomerize, but which nevertheless retains some affinity for the cell membrane. Several mutations affecting the mid- to C-terminal parts of MinD led to a protein probably unable to interact with DivIVA, but that could still stimulate division inhibition by MinC. These findings suggest that the ATPase activity of MinD is necessary for all its functions (possibly in part by controlling the oligomerization state of the protein). The other mutations may identify a surface of MinD involved in its interactions with DivIVA and a possible mechanism for control of MinD by DivIVA.     

Dynamic localization cycle of the cell division regulator MinE in Escherichia coli

The MinC protein directs placement of the division septum to the middle of Escherichia coli cells by blocking assembly of the division apparatus at other sites. MinD and MinE regulate MinC activity by modulating its cellular location in a unique fashion. MinD recruits MinC to the membrane, and MinE induces MinC/MinD to oscillate rapidly between the membrane of opposite cell halves. Using fixed cells, we previously found that a MinE-green fluorescent protein fusion accumulated in an annular structure at or near the midcell, as well as along the membrane on only one side of the ring. Here we show that in living cells, MinE undergoes a rapid localization cycle that appears coupled to MinD oscillation. The results show that MinE is not a fixed marker for septal ring assembly. Rather, they support a model in which MinE stimulates the removal of MinD from the membrane in a wave-like fashion. These waves run from a midcell position towards the poles in an alternating sequence such that the time-averaged concentration of division inhibitor is lowest at midcell.     

Targeting of (D)MinC/MinD and (D)MinC/DicB complexes to septal rings in Escherichia coli suggests a multistep mechanism for MinC-mediated destruction of nascent FtsZ rings

The MinC protein is an important determinant of septal ring positioning in Escherichia coli. The N-terminal domain ((Z)MinC) suppresses septal ring formation by interfering with FtsZ polymerization, whereas the C-terminal domain ((D)MinC) is required for dimerization as well as for interaction with the MinD protein. MinD oscillates between the membrane of both cell halves in a MinE-dependent fashion. MinC oscillates along with MinD such that the time-integrated concentration of (Z)MinC at the membrane is minimal, and hence the stability of FtsZ polymers is maximal, at the cell center. MinC is cytoplasmic and fails to block FtsZ assembly in the absence of MinD, indicating that recruitment of MinC by MinD to the membrane enhances (Z)MinC function. Here, we present evidence that the binding of (D)MinC to MinD endows the MinC/MinD complex with a more specific affinity for a septal ring-associated target in vivo. Thus, MinD does not merely attract MinC to the membrane but also aids MinC in specifically binding to, or in close proximity to, the substrate of its (Z)MinC domain. MinC-mediated division inhibition can also be activated in a MinD-independent fashion by the DicB protein of cryptic prophage Kim. DicB shows little homology to MinD, and how it stimulates MinC function has been unclear. Similar to the results obtained with MinD, we find that DicB interacts directly with (D)MinC, that the (D)MinC/DicB complex has a high affinity for some septal ring target(s), and that MinC/DicB interferes with the assembly and/or integrity of FtsZ rings in vivo. The results suggest a multistep mechanism for the activation of MinC-mediated division inhibition by either MinD or DicB and further expand the number of properties that can be ascribed to the Min proteins.     

MinDE-Dependent Pole-to-Pole Oscillation of Division Inhibitor MinC in Escherichia coli

By inhibiting FtsZ ring formation near the cell ends, the MinC protein plays a critical role in proper positioning of the division apparatus in Escherichia coli. MinC activity requires that of MinD, and the MinE peptide provides topological specificity by suppressing MinC-MinD-mediated division inhibition specifically at the middle of the cell. We recently presented evidence that MinE not only accumulates in an FtsZ-independent ring structure at the cell's middle but also imposes a unique dynamic localization pattern upon MinD in which the latter accumulates alternately in either one of the cell halves in what appears to be a rapidly oscillating membrane association-dissociation cycle. Here we show that functional green fluorescent protein-MinC displays a very similar oscillatory behavior which is dependent on both MinD and MinE and independent of FtsZ. The results support a model in which MinD recruits MinC to its site of action and in which FtsZ ring assembly at each of the cell ends is blocked in an intermittent and alternate fashion.     

The switch I and II regions of MinD are required for binding and activating MinC

MinD and MinC cooperate to form an efficient inhibitor of Z-ring formation that is spatially regulated by MinE. MinD activates MinC by recruiting it to the membrane and targeting it to a septal component. To better understand this activation, we have isolated loss-of-function mutations in minD and carried out site-directed mutagenesis. Many of these mutations block MinC-MinD interaction; however, they also prevent MinD self-interaction and membrane binding, suggesting that they affect nucleotide interaction or protein folding. Two mutations in the switch I region (MinD box) and one mutation in the switch II region had little affect on most MinD functions, such as MinD self-interaction, membrane binding, and MinE stimulation; however, they did eliminate MinD-MinC interaction. Two additional mutations in the switch II region did not affect MinC binding. Further study revealed that one of these allowed the MinCD complex to target to the septum but was still deficient in blocking division. These results indicate that the switch I and II regions of MinD are required for interaction with MinC but not MinE and that the switch II region has a role in activating MinC.     

MinD and role of the deviant Walker A motif,dimerization and membrane binding in oscillation

The ATPase activity of MinD is required for it to oscillate between the ends of the cell and spatially regulate cell division in Escherichia coli. It is a member of a functionally diverse subgroup of ATPases which are involved in activities ranging from nitrogen fixation (NifH) to plasmid segregation (ParA). All members of the subgroup have a deviant Walker A motif which contains a conserved 'signature' lysine that characterizes this subgroup. In the NifH homodimer the signature lysines make intermonomer contact with the bound nucleotides indicating a role in ATP hydrolysis. ATP binding to NifH leads to formation of an active dimer that associates with a partner that is also a dimer. Because ATP hydrolysis is coupled to formation of the complex, the complex is only transient. In the presence of ATP MinD binds MinC and goes to the membrane, however, the ATPase is not stimulated and the complex is stable. Subsequent interaction of this complex with MinE, however, leads to ATPase stimulation and release of the Min proteins from the membrane. The sequential interaction of MinD with these two proteins, which is dictated by the membrane, is critical to the oscillatory mechanism involved in spatial regulation of division.     

Membrane binding by MinD involves insertion of hydrophobic residues within the C-terminal amphipathic helix into the bilayer

MinD binds to phospholipid vesicles in the presence of ATP and is released by MinE, which stimulates the MinD ATPase. Membrane binding requires a short conserved C-terminal region, which has the potential to form an amphipathic helix. This finding has led to a model in which the binding of ATP regulates the formation or accessibility of this helix, which then embeds in the membrane bilayer. To test this model, we replaced each of the four hydrophobic residues within this potential helix with tryptophan or a charged residue. Introduction of a negatively charged amino acid decreased membrane binding of MinD and its ability to activate MinC. In contrast, mutants with tryptophan substitutions retained the ability to bind to the membrane and activate MinC. Fluorescence emission spectroscopy analysis of the tryptophan mutants F263W, L264W, and L267W confirmed that these tryptophan residues did insert into the hydrophobic interior of the bilayer. We conclude that membrane binding by MinD involves penetration of the hydrophobic residues within the C-terminal amphipathic helix into the hydrophobic interior of the bilayer.     

ATP-dependent interactions between Escherichia coli Min proteins and the phospholipid membrane in vitro

Proper placement of the division apparatus in Escherichia coli requires pole-to-pole oscillation of the MinC division inhibitor. MinC dynamics involves a membrane association-dissociation cycle that is driven by the activities of the MinD ATPase and the MinE topological specificity factor, which themselves undergo coupled oscillatory localization cycles. To understand the biochemical mechanisms underlying Min protein dynamics, we studied the interactions of purified Min proteins with phospholipid vesicles and the role of ATP in these interactions. We show that (i) the ATP-bound form of MinD (MinD.ATP) readily associates with phospholipid vesicles in the presence of Mg(2+), whereas the ADP-bound form (MinD.ADP) does not; (ii) MinD.ATP binds membrane in a self-enhancing fashion; (iii) both MinC and MinE can be recruited to MinD.ATP-decorated vesicles; (iv) MinE stimulates dissociation of MinD.ATP from the membrane in a process requiring hydrolysis of the nucleotide; and (v) MinE stimulates dissociation of MinC from MinD.ATP-membrane complexes, even when ATP hydrolysis is blocked. The results support and extend recent work by Z. Hu et al. (Z. Hu, E. P. Gogol, and J. Lutkenhaus, Proc. Natl. Acad. Sci. USA 99:6761-6766, 2002) and support models of protein oscillation wherein MinE induces Min protein dynamics by stimulating the conversion of the membrane-bound form of MinD (MinD.ATP) to the cytoplasmic form (MinD.ADP). The results also indicate that MinE-stimulated dissociation of MinC from the MinC-MinD.ATP-membrane complex can, and may, occur prior to hydrolysis of the nucleotide.     

A conserved sequence at the C-terminus of MinD is required for binding to the membrane and targeting MinC to the septum

MinD is a key component of an oscillatory system that spatially regulates cell division in Escherichia coli. It is a peripheral membrane ATPase that recruits MinC and oscillates between the two halves of the cell in a MinE dependent manner. In vitro MinD binds to phospholipid vesicles in an ATP-dependent manner and is released through MinE-stimulated ATP hydrolysis. In this study we examined the function of the conserved C-terminus of MinD. Short truncations of three and ten amino acids dramatically decreased the ability of MinD to localize to the membrane and spatially regulate division. These truncations bound MinC but were deficient in targeting MinC to the septum. In vitro they dimerized, but were deficient in binding to phospholipid vesicles and undergoing MinE stimulation. We suggest a model in which the ATP-dependent dimerization of MinD affects the conformation of the C-terminal region, a potential amphipathic helix, triggering membrane binding.     

Role of MinD-membrane association in Min protein interactions

Division site placement in Escherichia coli involves interactions of the MinD protein with MinC and MinE and with other MinD molecules to form membrane-associated polymeric structures. In this work, as part of a study of these interactions, we established that heterologous membrane-associated proteins such as MinD can be targeted to the yeast nuclear membrane, dependent only on the presence of a membrane-binding domain and a nuclear targeting sequence. Targeting to the nuclear membrane was equally effective using the intrinsic MinD membrane-targeting domain or the completely unrelated membrane-targeting domain of cytochrome b(5). The chimeric proteins differing in their membrane-targeting sequences were then used to establish the roles of membrane association and specificity of the membrane anchor in MinD interactions, using the yeast two-hybrid system. The chimeric proteins were also used to show that the membrane association of MinD and MinE in E. coli cells had no specificity for the membrane anchor, whereas formation of MinDE polar zones and MinE rings required the presence of the native MinD membrane-targeting sequence.     

Membrane Binding of MinE Allows for a Comprehensive Description of Min-Protein Pattern Formation

The rod-shaped bacterium Escherichia coli selects the cell center as site of division with the help of the proteins MinC, MinD, and MinE. This protein system collectively oscillates between the two cell poles by alternately binding to the membrane in one of the two cell halves. This dynamic behavior, which emerges from the interaction of the ATPase MinD and its activator MinE on the cell membrane, has become a paradigm for protein self-organization. Recently, it has been found that not only the binding of MinD to the membrane, but also interactions of MinE with the membrane contribute to Min-protein self-organization. Here, we show that by accounting for this finding in a computational model, we can comprehensively describe all observed Min-protein patterns in vivo and in vitro. Furthermore, by varying the system''s geometry, our computations predict patterns that have not yet been reported. We confirm these predictions experimentally.     

MinD and MinE Interact with Anionic Phospholipids and Regulate Division Plane Formation in Escherichia coli

The Min proteins (MinC, MinD, and MinE) form a pole-to-pole oscillator that controls the spatial assembly of the division machinery in Escherichia coli cells. Previous studies identified that interactions of MinD with phospholipids positioned the Min machinery at the membrane. We extend these studies by measuring the affinity, kinetics, and ATPase activity of E. coli MinD, MinE, and MinDE binding to supported lipid bilayers containing varying compositions of anionic phospholipids. Using quartz crystal microbalance measurements, we found that the binding affinity (K_d) for the interaction of recombinant E. coli MinD and MinE with lipid bilayers increased with increasing concentration of the anionic phospholipids phosphatidylglycerol and cardiolipin. The K_d for MinD (1.8 μm) in the presence of ATP was smaller than for MinE (12.1 μm) binding to membranes consisting of 95:5 phosphatidylcholine/cardiolipin. The simultaneous binding of MinD and MinE to membranes revealed that increasing the concentration of anionic phospholipid stimulates the initial rate of adsorption (k_on). The ATPase activity of MinD decreased in the presence of anionic phospholipids. These results indicate that anionic lipids, which are concentrated at the poles, increase the retention of MinD and MinE and explain its dwell time at this region of bacterial cells. These studies provide insight into interactions between MinD and MinE and between these proteins and membranes that are relevant to understanding the process of bacterial cell division, in which the interaction of proteins and membranes is essential.     

Gonococcal MinD affects cell division in Neisseria gonorrhoeae and Escherichia coli and exhibits a novel self-interaction

The Min proteins are involved in determining cell division sites in bacteria and have been studied extensively in rod-shaped bacteria. We have recently shown that the gram-negative coccus Neisseria gonorrhoeae contains a min operon, and the present study investigates the role of minD from this operon. A gonococcal minD insertional mutant, CJSD1, was constructed and exhibited both grossly abnormal cell division and morphology as well as altered cell viability. Western blot analysis verified the absence of MinD from N. gonorrhoeae (MinD(Ng)) in this mutant. Hence, MinD(Ng) is required for maintaining proper cell division and growth in N. gonorrhoeae. Immunoblotting of soluble and insoluble gonococcal cell fractions revealed that MinD(Ng) is both cytosolic and associated with the insoluble membrane fraction. The joint overexpression of MinC(Ng) and MinD(Ng) from a shuttle vector resulted in a significant enlargement of gonococcal cells, while cells transformed with plasmids encoding either MinC(Ng) or MinD(Ng) alone did not display noticeable morphological changes. These studies suggest that MinD(Ng) is involved in inhibiting gonococcal cell division, likely in conjunction with MinC(Ng). The alignment of MinD sequences from various bacteria showed that the proteins are highly conserved and share several regions of identity, including a conserved ATP-binding cassette. The overexpression of MinD(Ng) in wild-type Escherichia coli led to cell filamentation, while overexpression in an E. coli minD mutant restored a wild-type morphology to the majority of cells; therefore, gonococcal MinD is functional across species. Yeast two-hybrid studies and gel-filtration and sedimentation equilibrium analyses of purified His-tagged MinD(Ng) revealed a novel MinD(Ng) self-interaction. We have also shown by yeast two-hybrid analysis that MinD from E. coli interacts with itself and with MinD(Ng). These results indicate that MinD(Ng) is required for maintaining proper cell division and growth in N. gonorrhoeae and suggests that the self-interaction of MinD may be important for cell division site selection across species.     

MinC/MinD copolymers are not required for Min function

In Escherichia coli, precise placement of the cytokinetic Z ring at midcell requires the concerted action of the three Min proteins. MinD activates MinC, an inhibitor of FtsZ, at least in part, by recruiting it to the membrane and targeting it to the Z ring, while MinE stimulates the MinD ATPase inducing an oscillation that directs MinC/MinD activity away from midcell. Recently, MinC and MinD were shown to form copolymers of alternating dimers of MinC and MinD, and it was suggested that these copolymers are the active form of MinC/MinD. Here, we use MinD mutants defective in binding MinC to generate heterodimers with wild‐type MinD that are unable to form MinC/MinD copolymers. Similarly, MinC mutants defective in binding to MinD were used to generate heterodimers with wild‐type MinC that are unable to form copolymers. Such heterodimers are active and in the case of MinC were shown to mediate spatial regulation of the Z ring demonstrating that MinC/MinD copolymer formation is not required. Our results are consistent with a model in which a membrane anchored MinC/MinD complex is targeted to the Z ring through the conserved carboxy tail of FtsZ leading to breakage of FtsZ filaments.     

Molecular Interactions of the Min Protein System Reproduce Spatiotemporal Patterning in Growing and Dividing Escherichia coli Cells

Oscillations of the Min protein system are involved in the correct midcell placement of the divisome during Escherichia coli cell division. Based on molecular interactions of the Min system, we formulated a mathematical model that reproduces Min patterning during cell growth and division. Specifically, the increase in the residence time of MinD attached to the membrane as its own concentration increases, is accounted for by dimerisation of membrane-bound MinD and its interaction with MinE. Simulation of this system generates unparalleled correlation between the waveshape of experimental and theoretical MinD distributions, suggesting that the dominant interactions of the physical system have been successfully incorporated into the model. For cells where MinD is fully-labelled with GFP, the model reproduces the stationary localization of MinD-GFP for short cells, followed by oscillations from pole to pole in larger cells, and the transition to the symmetric distribution during cell filamentation. Cells containing a secondary, GFP-labelled MinD display a contrasting pattern. The model is able to account for these differences, including temporary midcell localization just prior to division, by increasing the rate constant controlling MinD ATPase and heterotetramer dissociation. For both experimental conditions, the model can explain how cell division results in an equal distribution of MinD and MinE in the two daughter cells, and accounts for the temperature dependence of the period of Min oscillations. Thus, we show that while other interactions may be present, they are not needed to reproduce the main characteristics of the Min system in vivo.