Rate and topography of cell wall synthesis during the division cycle of Salmonella typhimurium

Surface Area to Volume Ratio: A Natural Variable for Bacterial Morphogenesis

An immediately observable feature of bacteria is that cell size and shape are remarkably constant and characteristic for a given species in a particular condition, but vary quantitatively with physiological parameters such as growth rate, indicating both genetic and environmental regulation. However, despite decades of research, the molecular mechanisms underlying bacterial morphogenesis have remained incompletely characterized. We recently demonstrated that a wide range of bacterial species exhibit a robust surface area to volume ratio (SA/V) homeostasis. Because cell size, shape, and SA/V are mathematically interconnected, if SA/V is indeed the natural variable that cells actively monitor, this finding has critical implications for our understanding of bacterial morphogenesis, placing fundamental constraints on the sizes and shapes that cells can adopt. In this Opinion article we discuss the broad implications that this novel perspective has for the field of bacterial growth and morphogenesis.

Fundamental principles in bacterial physiology-history, recent progress, and the future with focus on cell size control: a review

Bacterial physiology is a branch of biology that aims to understand overarching principles of cellular reproduction. Many important issues in bacterial physiology are inherently quantitative, and major contributors to the field have often brought together tools and ways of thinking from multiple disciplines. This article presents a comprehensive overview of major ideas and approaches developed since the early 20th century for anyone who is interested in the fundamental problems in bacterial physiology. This article is divided into two parts. In the first part (sections 1-3), we review the first 'golden era' of bacterial physiology from the 1940s to early 1970s and provide a complete list of major references from that period. In the second part (sections 4-7), we explain how the pioneering work from the first golden era has influenced various rediscoveries of general quantitative principles and significant further development in modern bacterial physiology. Specifically, section 4 presents the history and current progress of the 'adder' principle of cell size homeostasis. Section 5 discusses the implications of coarse-graining the cellular protein composition, and how the coarse-grained proteome 'sectors' re-balance under different growth conditions. Section 6 focuses on physiological invariants, and explains how they are the key to understanding the coordination between growth and the cell cycle underlying cell size control in steady-state growth. Section 7 overviews how the temporal organization of all the internal processes enables balanced growth. In the final section 8, we conclude by discussing the remaining challenges for the future in the field.

Relative Rates of Surface and Volume Synthesis Set Bacterial Cell Size

Many studies have focused on the mechanisms underlying length and width determination in rod-shaped bacteria. Here, we focus instead on cell surface area to volume ratio (SA/V) and demonstrate that SA/V homeostasis underlies size determination. We propose a model whereby the instantaneous rates of surface and volume synthesis both scale with volume. This model predicts that these relative rates dictate SA/V and that cells approach a new steady-state SA/V exponentially, with a decay constant equal to the volume growth rate. To test this, we exposed diverse bacterial species to sublethal concentrations of a cell wall biosynthesis inhibitor and observed dose-dependent decreases in SA/V. Furthermore, this decrease was exponential and had the expected decay constant. The model also quantitatively describes SA/V alterations induced by other chemical, nutritional, and genetic perturbations. We additionally present evidence for a surface material accumulation threshold underlying division, sensitizing cell length to changes in SA/V requirements.

Membrane-elution analysis of content of cyclins A, B1, and E during the unperturbed mammalian cell cycle

Background

Problems with whole-culture synchronization methods for the study of the cell cycle have led to the need for an analysis of protein content during the cell cycle of cells that have not been starved or inhibited. The membrane-elution method is a method that allows the study of the cell cycle by producing a culture of unperturbed, synchronized cells.

Results

The Helmstetter membrane-elution method for the continuous production of newborn, unperturbed, mammalian cells has been enhanced so that the collection of cells of different cell cycle ages is automated, reproducible, and relatively inexpensive. We have applied the automated membrane-elution method to the analysis of cyclin content during the cell cycle. Cyclin E protein was invariant during the cell cycle. Cyclins B1 and A accumulated continuously during the cell cycle and were degraded at mitosis. Newborn cells had ~0.5% of the cyclin B1 content of dividing cells.

Conclusion

The expression patterns of cyclins A, B1, and E can be explained by constant mRNA levels during the cell cycle. Previously reported phase specific variations of the cyclins are not strictly necessary for cell-cycle progression. Cells produced by membrane-elution are available to other laboratories for analysis of the cell cycle.

In vitro synthesis of cross-linked murein and its attachment to sacculi by PBP1A from Escherichia coli

The penicillin-binding protein (PBP) 1A is a major murein (peptidoglycan) synthase in Escherichia coli. The murein synthesis activity of PBP1A was studied in vitro with radioactive lipid II substrate. PBP1A produced murein glycan strands by transglycosylation and formed peptide cross-links by transpeptidation. Time course experiments revealed that PBP1A, unlike PBP1B, required the presence of polymerized glycan strands carrying monomeric peptides for cross-linking activity. PBP1A was capable of attaching nascent murein synthesized from radioactive lipid II to nonlabeled murein sacculi. The attachment of the new material occurred by transpeptidation reactions in which monomeric triand tetrapeptides in the sacculi were the acceptors.

Distinguishing between linear and exponential cell growth during the division cycle: single-cell studies, cell-culture studies, and the object of cell-cycle research

BACKGROUND

Two approaches to understanding growth during the cell cycle are single-cell studies, where growth during the cell cycle of a single cell is measured, and cell-culture studies, where growth during the cell cycle of a large number of cells as an aggregate is analyzed. Mitchison has proposed that single-cell studies, because they show variations in cell growth patterns, are more suitable for understanding cell growth during the cell cycle, and should be preferred over culture studies. Specifically, Mitchison argues that one can glean the cellular growth pattern by microscopically observing single cells during the division cycle. In contrast to Mitchison's viewpoint, it is argued here that the biological laws underlying cell growth are not to be found in single-cell studies. The cellular growth law can and should be understood by studying cells as an aggregate.

RESULTS

The purpose or objective of cell cycle analysis is presented and discussed. These ideas are applied to the controversy between proponents of linear growth as a possible growth pattern during the cell cycle and the proponents of exponential growth during the cell cycle. Differential (pulse) and integral (single cell) experiments are compared with regard to cell cycle analysis and it is concluded that pulse-labeling approaches are preferred over microscopic examination of cell growth for distinguishing between linear and exponential growth patterns. Even more to the point, aggregate experiments are to be preferred to single-cell studies.

CONCLUSION

The logical consistency of exponential growth--integrating and accounting for biochemistry, cell biology, and rigorous experimental analysis--leads to the conclusion that proposals of linear growth are the result of experimental perturbations and measurement limitations. It is proposed that the universal pattern of cell growth during the cell cycle is exponential.

Growth during the cell cycle

During the cell cycle, major bulk parameters such as volume, dry mass, total protein, and total RNA double and such growth is a fundamental property of the cell cycle. The patterns of growth in volume and total protein or RNA provide an "envelope" that contains and may restrict the gear wheels. The main parameters of cell cycle growth were established in the earlier work when people moved from this field to the reductionist approaches of molecular biology, but very little is known on the patterns of metabolism. Most of the bulk properties of cells show a continuous increase during the cell cycle, although the exact pattern of this increase may vary. Since the earliest days, there have been two popular models, based on an exponential increase and linear increase. In the first, there is no sharp change in the rate of increase through the cycle but a smooth increase by a factor of two. In the second, the rate of increase stays constant through much of the cycle but it doubles sharply at a rate change point (RCP). It is thought that the exponential increase is caused by the steady growth of ribosome numbers and the linear pattern is caused by a doubling of the structural genes during the S period giving an RCP--a "gene dosage" effect. In budding yeast, there are experiments fitting both models but on balance slightly favoring "gene dosage." In fission yeast, there is no good evidence of exponential increase. All the bulk properties, except O2 consumption, appear to follow linear patterns with an RCP during the short S period. In addition, there is in wild-type cells a minor RCP in G2 where the rate increases by 70%. In mammalian cells, there is good but not extensive evidence of exponential increase. In Escherichia coli, exponential increase appears to be the pattern. There are two important points: First, some proteins do not show peaks of periodic synthesis. If they show patterns of exponential increase both they and the total protein pattern will not be cell cycle regulated. However, if the total protein pattern is not exponential, then a majority of the individual proteins will be so regulated. If this majority pattern is linear, then it can be detected from rate measurements on total protein. However, it would be much harder at the level of individual proteins where the methods are at present not sensitive enough to detect a rate change by a factor of two. At a simple level, it is only the exponential increase that is not cell cycle regulated in a synchronous culture. The existence of a "size control" is well known and the control has been studied for a long time, but it has been remarkably resistant to molecular analysis. The attainment of a critical size triggers the periodic events of the cycle such as the S period and mitosis. This control acts as a homeostatic effector that maintains a constant "average" cell size at division through successive cycles in a growing culture. It is a vital link coordinating cell growth with periodic events of the cycle. A size control is present in all the systems and appears to operate near the start of S or of mitosis when the cell has reached a critical size, but the molecular mechanism by which size is measured remains both obscure and a challenge. A simple version might be for the cell to detect a critical concentration of a gene product.

Correlation of the rate of protein synthesis and the third power of the RNA : protein ratio in Escherichia coli and Mycobacterium tuberculosis

In order to further understand the different physiological states of the tubercle bacillus, a frame of reference was sought by first correlating the macromolecular compositions of Escherichia coli with specific growth rates and also with the rates of protein synthesis. Data for DNA : protein : RNA were converted to the average amounts of DNA [m(DNA(av))], protein [m(p(av))] and RNA [m(RNA(av))] per cell. The specific growth rate micro was found to be directly proportional to m(RNA(av))/m(p(av)). The specific protein synthesis rate per average cell [omega(p(av))] was shown to be directly proportional to the third power of the ratio m(RNA(av))/m(p(av)) which reflects the ribosome concentration. The equations derived were shown apply to both E. coli ( micro =1.73 h(-1)) and Mycobacterium bovis BCG ( micro =0.029 h(-1)).

Division pattern of a round mutant of Escherichia coli

A round mutant of Escherichia coli, when grown in Methocel medium, forms chains of cells and does not form tetrads. This implies that successive division planes of the round mutant are parallel rather than perpendicular. These results differ from a previous proposal that division planes in this round mutant are perpendicular to the prior division plane (W. D. Donachie, S. Addinall, and K. Begg, Bioessays 17:569-576, 1995).

Synthesis of peptidoglycan and membrane during the division cycle of rod-shaped, gram-negative bacteria

A modified procedure for determining the pattern of peptidoglycan synthesis during the division cycle has allowed the measurement of the rate of side wall synthesis during the division cycle without the contribution due to pole formation. As predicted by a model proposing that the surface growth of the cell is regulated by mass increase, we find a decrease in side wall synthesis in the latter half of the division cycle. This supports the proposal that, upon invagination, pole growth accommodates a significant proportion of the increasing cell mass and that residual side wall growth occurs in response to the residual mass increase not accommodated by pole volume. The observed side wall synthesis patterns support the proposal that mass increase is a major, and possibly sole, regulator of bacterial surface increase. Membrane synthesis during the division cycle of the gram-negative, rod-shaped bacteria Escherichia coli and Salmonella typhimurium has also been measured with similar methods. The rate of membrane synthesis--measured by incorporation of radioactive glycerol or palmitate relative to simultaneous labeling with radioactive leucine--exhibits the same pattern as peptidoglycan synthesis. The results are compatible with a model of cell surface growth containing the following elements. (i) During the period of the division cycle prior to invagination, growth of the cell occurs predominantly in the side wall and the cell grows only in length. (ii) When invagination begins, pole growth accommodates some cytoplasmic increase, leading to a concomitant decrease in side wall synthesis. (iii) Surface synthesis increases relative to mass synthesis during the last part of the division cycle because of pole formation. It is proposed here that membrane synthesis passively follows the pattern of peptidoglycan synthesis during the division cycle.

Synthesis of the cell surface during the division cycle of rod-shaped, gram-negative bacteria

When the growth of the gram-negative bacterial cell wall is considered in relation to the synthesis of the other components of the cell, a new understanding of the pattern of wall synthesis emerges. Rather than a switch in synthesis between the side wall and pole, there is a partitioning of synthesis such that the volume of the cell increases exponentially and thus perfectly encloses the exponentially increasing cytoplasm. This allows the density of the cell to remain constant during the division cycle. This model is explored at both the cellular and molecular levels to give a unified description of wall synthesis which has the following components: (i) there is no demonstrable turnover of peptidoglycan during cell growth, (ii) the side wall grows by diffuse intercalation, (iii) pole synthesis starts by some mechanism and is preferentially synthesized compared with side wall, and (iv) the combined side wall and pole syntheses enclose the newly synthesized cytoplasm at a constant cell density. The central role of the surface stress model in wall growth is distinguished from, and preferred to, models that propose cell-cycle-specific signals as triggers of changes in the rate of wall synthesis. The actual rate of wall synthesis during the division cycle is neither exponential nor linear, but is close to exponential when compared with protein synthesis during the division cycle.

Amount of peptidoglycan in cell walls of gram-negative bacteria

The amount of diaminopimelic acid (Dap) in the cell wall of Escherichia coli was measured in two ways. A radiochemical method first described by us in 1985 (F. B. Wientjes, E. Pas, P. E. M. Taschner, and C. L. Woldringh, J. Bacteriol. 164:331-337, 1985) is based on the steady-state incorporation of [3H]Dap during several generations. Knowing the cell concentration and the specific activity of the [3H]Dap, one can calculate the number of Dap molecules per sacculus. The second method measures the Dap content chemically in sacculi isolated from a known number of cells. With both methods, a value of 3.5 x 10(6) Dap molecules per sacculus was obtained. Combined with electron microscopic measurements of the surface area of the cells, the data indicate an average surface area per disaccharide unit of ca. 2.5 nm2. This finding suggests that the peptidoglycan is basically a monolayered structure.

Buoyant density studies of several mecillinam-resistant and division mutants of Escherichia coli

The buoyant density of wild-type Escherichia coli cells has previously been reported not to vary with growth rate and cell size or age. In the present report we confirm these findings, using Percoll gradients, and analyze the recently described lov mutant, which was selected for its resistance to mecillinam and has been suggested to be affected in the coordination between mass growth and envelope synthesis. The average buoyant density of lov mutant cells was significantly lower than that of wild-type cells. Similarly, the buoyant density of wild-type cells decreased in the presence of mecillinam. The density of the lov mutant, like that of the wild type, was invariant over a 2.8-fold range in growth rate. In this range, however, the average cell volume was also constant. Analysis of buoyant density as a function of cell volume in individual cultures revealed that smaller (newborn) lov mutant cells had higher density than larger (old) cells; however, the density of the small cells never approached that of the wild-type cells, whose density was independent of cell size (age). A pattern similar to that of lov mutant cells was observed in cells carrying the mecillinam-resistant mutations pbpA(Ts) and rodA(Ts) and the division mutation ftsI(Ts) at nonpermissive temperatures as well as in wild-type cells treated with mecillinam, but not in mecillinam-resistant crp or cya mutants.

Cell division and peptidoglycan assembly in Escherichia coli

Research on bacterial cell division has recently gained renewed impetus because of new information about peptidoglycan assembly and about specific cell-division genes and their products. This paper concerns aspects of cell division that specifically concern the peptidoglycan. It is shown that upon division, peptidoglycan assembly switches from lateral wall location to the cell centre, that assembly takes place at the leading edge of the invaginating constriction, that the mode of glycan strand insertion changes from a single-stranded mode to a multi-stranded mode, and that the initiation of division (in contrast to its continuation) requires penicillin-insensitive peptidoglycan synthesis (PIPS). A membrane component X (possibly FtsQ) is proposed to coordinate PIPS with the cell division-initiating protein FtsZ. It is suggested that a largely proteinaceous macromolecular complex (divisome) at the leading edge of constriction encompasses three compartments (cytoplasm, membrane and periplasm). The composition of this complex is proposed to vary depending on whether division is being initiated or completed.

Involvement of cell shape in the replication and segregation of chromosomes in Escherichia coli

Chromosome replication appears to initiate in E. coli when the dnaA boxes in oriC become filled with DnaA protein, which could simultaneously mediate both the unwinding of the origin for the start of polymerization and the attachment of oriC to the cell envelope (Bramhill and Kornberg, 1988; Løbner-Olesen et al., 1989; Pierucci et al., 1989). The attachment takes place somewhere within the cell half in which the oriC resides. The boundaries of this attachment/replication zone, which cannot include the polar cap, could be demarcated by the polar and centrally located periseptal annuli (Rothfield, this Forum). Since attachment and polymerization are two aspects of the same process, the attachment probably takes place via the polymerizing strand. Once polymerization begins, the oriC with the older template strand moves away from the younger one, by mechanisms unknown, to eventually take up residence in the equivalent domain of the complementary sister cell. Thus, the template strand that stays within its domain corresponds to the strand that was attached during the previous round of replication, and the template that moves away is the one that was not attached. The driving force for this translocation is not specified by our model, but a number of plausible alternatives have been proposed by others (reviewed in Leonard and Helmstetter, 1990). Throughout the ensuing replication and cell division, the chromosomes are located (or can move freely) within the attachment/replication zone of the developing daughter cell (lateral cylinder and septum). At some time during the course of this process, but before the next initiation event, the replication origins must be released from the attachment sites so that the entire process can be repeated. Thus, the probabilistic non-random chromosome segregation is due to the asymmetry of the attachment/replication zone in the cell, whereas the partitioning system itself must possess a mechanism to discriminate between template strands of different ages. This apparent mechanistic relationship between chromosome replication, chromosome partitioning and the maintenance of cell shape may provide an interesting framework for future experiments.

Rate and topography of peptidoglycan synthesis during cell division in Escherichia coli: concept of a leading edge

The rate at which the peptidoglycan of Escherichia coli is synthesized during the division cycle was studied with two methods. One method involved synchronization of E. coli MC4100 lysA cultures by centrifugal elutriation and subsequent pulse-labeling of the synchronously growing cultures with [meso-3H]diaminopimelic acid ([3H]Dap). The second method was autoradiography of cells pulse-labeled with [3H]Dap. It was found that the peptidoglycan is synthesized at a more or less exponentially increasing rate during the division cycle with a slight acceleration in this rate as the cells start to constrict. Apparently, polar cap formation requires synthesis of extra surface components, presumably to accommodate for a change in the surface-to-volume ratio. Furthermore, it was found that the pool size of Dap was constant during the division cycle. Close analysis of the topography of [3H]Dap incorporation at the constriction site revealed that constriction proceeded by synthesis of peptidoglycan at the leading edge of the invaginating cell envelope. During constriction, no reallocation of incorporation occurred, i.e., the incorporation at the leading edge remained high throughout the process of constriction. Impairment of penicillin-binding protein 3 by mutation or by the specific beta-lactam antibiotic furazlocillin did not affect [3H]Dap incorporation during initiation of constriction. However, the incorporation at the constriction site was inhibited in later stages of the constriction process. It is concluded that during division at least two peptidoglycan-synthesizing systems are operating sequentially.

Leucine uptake and protein synthesis are exponential during the division cycle of Escherichia coli B/r

The rate of leucine uptake, which is a measure of protein synthesis, was measured during the division cycle of Escherichia coli B/r by the membrane elution technique. The rate of leucine uptake was exponential, indicating that protein synthesis is exponential, and not linear, during the division cycle. These results, coupled with the results of other work on the exponential rate of RNA synthesis during the division cycle, indicate that the accumulation of mass in E. coli and other gram-negative organisms is exponential during the division cycle.