We report a remarkable statistical paradox from a compositional analysis of membrane lipids of archaea, eubacteria, and eukaryotes. The presence of Simpson's paradox in the analysis of lipids common to plasma membranes of all domains provides the first evidence based on the compositional analysis of lipidomics data for the symbiotic origins of eukaryotic cells.
Abstract
Compositional analyses of nucleic acids and proteins have shed light on possible origins of living cells. In this work, rigorous compositional analyses of ∼5000 plasma membrane lipid constituents of 273 species in the three life domains (archaea, eubacteria, and eukaryotes) revealed a remarkable statistical paradox, indicating symbiotic origins of eukaryotic cells involving eubacteria. For lipids common to plasma membranes of the three domains, the number of carbon atoms in eubacteria was found to be similar to that in eukaryotes. However, mutually exclusive subsets of same data show exactly the opposite—the number of carbon atoms in lipids of eukaryotes was higher than in eubacteria. This statistical paradox, called Simpson's paradox, was absent for lipids in archaea and for lipids not common to plasma membranes of the three domains. This indicates the presence of interaction(s) and/or association(s) in lipids forming plasma membranes of eubacteria and eukaryotes but not for those in archaea. Further inspection of membrane lipid structures affecting physicochemical properties of plasma membranes provides the first evidence (to our knowledge) on the symbiotic origins of eukaryotic cells based on the “third front” (i.e., lipids) in addition to the growing compositional data from nucleic acids and proteins.
INTRODUCTION
Over the years, the evolutionary origins of eukaryotic cells have been studied with respect to two key components in living systems—nucleic acids and proteins. While genes involved in replication, transcription, and translation indicate similarity between archaea and eukaryotes, metabolic genes indicate eukaryotes are closer to eubacteria (Rivera et al., 1998). On the other hand, the universal tree of single-stranded rRNA clusters eukaryotes near to archaea (Woese, 2000). To date, there are a number (more than 20) different models to explain the origin of eukaryotic cells (Martin and Muller, 1998; Martin, 2005; Martin and Koonin 2006; Moreira and Lopez-Garcia, 1998; Vesteg and Krajcovic, 2006; Forterre, 2011; Baum and Baum, 2014). The majority of these models are based on the merger of two prokaryotes to form ancient eukaryotic cells. There are two basic schools of thought: 1) One-merger theory: the merger of eubacteria and archaea led to the formation of the nucleus and mitochondria at the same time (around 2 giga-annum [Ga]; Hartman and Fedorov, 2002). 2) Two-merger theory: the merger of archaea and eubacteria first formed the nucleus of the eukaryotic cell around 2.7 Ga; another alpha-Proteobacteria was later engulfed to produce mitochondria around 2 Ga (Margulis et al., 2006). Literature on the one-merger theory indicates that early eukaryotes (e.g., Trichomonas foetus) are not amitochondriates and contain organelles, called hydrogenomas, that are analogous to mitochondria (Lindmark and Muller, 1973). On the other hand, the two-merger theory supports the presence of amitochondriates (Fuerst and Webb, 1991). The majority of these studies are based on genomics and proteomics data. Only a few scattered reports comment on the evolution of eukaryotic membranes, and those are also based largely on membrane proteins and biosynthetic pathways in cells (Pereto et al., 2004; Daiyasu et al., 2005; Mulkidjanian et al., 2008; Lombard and Moreira, 2011; Lombard et al., 2012a). Thus, in spite of the importance of amphipathic lipid molecules in formation of compartments as whole cells and within cells, emphasis on the essential “third” component (i.e., amphipathic lipid molecules) has been limited. Self-aggregation/assembly of amphipathic molecules was a crucial step in the origin of life (Monnard and Deamer, 2002; Rasmussen et al., 2009; Chen and Walde, 2010). Appearance of the first single cell(s), unit(s) of life, required a boundary enclosing a “system” separated from the surrounding environment. Formation of this boundary, the plasma membrane of a cell, was driven by self-aggregation of amphipathic molecules that also subsequently led to intracellular compartment formation, resulting in a eukaryotic cell. In the course of evolution, cell–cell interactions, including possible exchange of membrane lipids (Reed, 1968; Pagano and Huang, 1975), might have allowed the emergence of a pool of shared membrane lipids in their plasma membranes. Simultaneously, direct interaction of these lipid boundaries with a dynamic outer environment could also have contributed to compositional modifications in plasma membranes (Goldfine, 2010; Koga, 2012; Oger and Cario, 2013). While these theories are certainly of importance, they provide limited insights into understanding the evolution of eukaryotic cells from the point of view of their plasma membranes. In view of this, and inspired by compositional approaches applied to genomics and proteomics, we initiated a study of plasma membranes of the three domains of life (archaea, eubacteria, and eukaryotes) to investigate the origin of life from the point of view of the “third front” (the first two “fronts” being nucleic acids and proteins, respectively). As a first step, we collected amphipathic (nonprotein) components of plasma membranes from 273 species in the three domains of life—this yielded more than 5000 membrane lipids. A comprehensive analysis involving chemical composition–based classification of these lipids revealed a remarkable statistical paradox. For lipids common to plasma membranes of the three domains, the number of carbon atoms in eubacteria was found to be similar to that in eukaryotes. However, mutually exclusive subsets of the same data individually show exactly the opposite, that is, the number of carbon atoms in lipids of eukaryotes was higher than in eubacteria. This statistical paradox, called the Simpson's paradox (Wagner, 1982), was absent for lipids in archaea and for lipids not common to the plasma membranes of the three domains. This remarkable finding directly indicates (hidden) interaction(s) and/or association(s) (Simpson, 1951) in lipids forming plasma membranes of eubacteria and eukaryotes but not for those in archaea. Further exploration of lipid structures responsible for physicochemical properties of plasma membranes leads to the inference that the first compartmentalized cells, that is, eukaryotic single cells, had symbiotic origins with emphasis on eubacterial components as a source of their plasma membranes. In addition, membrane lipids of mitochondria and chloroplasts of eukaryotes suggest that membranes of these key organelles shared significant similarities with the eubacterial membrane lipids. Thus, through compositional analysis of lipidomics data and on the basis of the “third front” (i.e., lipids), we provide the first evidence (to our knowledge) of symbiotic origins of eukaryotic cells, with a larger role of eubacteria in formation of both plasma membranes and mitochondrial membranes.
RESULTS AND DISCUSSION
Common and uncommon membrane lipids
A comparative analysis of membrane lipids from each domain indicated three common classes that include 10 different compositions and a total of 3911 chemical structures of membrane lipids. We called them “common membrane lipids” (Figure 1). The remaining 20 classes (82 different compositions), which include a total of 1471 chemical structures of membrane lipids, were considered “uncommon membrane lipids.” Apart from membrane lipids common to all three domains, we found that eubacteria and eukaryotes alone shared 11 more lipid compositions, and archaea and eubacteria also uniquely shared three more membrane lipid compositions. These findings are consistent with the observation that eubacteria and eukaryotes share more similar physiological conditions than archaea—more common lipid classes would be expected to be found between eubacteria and eukaryotes as compared with archaea and eukaryotes. In our data set, we found the maximum number of common lipids between eubacteria and eukaryotes (=21) was greater than those shared by eubacteria and archaea (=13) and eukaryotes and archaea (=10); we also found 21 membrane lipid types unique to archaea, 21 for eubacteria, and 26 for eukaryotes.
Variation in the total carbon content of membrane lipids of each domain
Inspired by compositional analysis of nucleic acids and proteins (Nussinov, 1984; Knight et al., 2001; Kanhere and Bansal, 2005; Mittal et al., 2010; Mittal and Jayaram, 2011, 2012; Mittal and Acharya, 2013), we carried out a compositional analysis of chemical structures of these membrane lipids. For simplicity, we counted the total number of carbon atoms in each membrane lipid and the number of carbon atoms in the hydrophobic tails of each membrane lipid. Ten concentric circles, each circle representing an evolutionary time point in Ga units, were drawn to represent the total number of carbon atoms (Figure 2, A–C) and tail carbon atoms (Figure 3, A–C) in membrane lipids of each domain across evolutionary time; we show these separately for total (Figures 2A and 3A), common (Figures 2B and 3B), and uncommon membrane lipids (Figures 2C and 3C). To compare the average size and hydrophobic tail lengths of membrane lipids, we calculated the mean value of carbon atoms for each domain separately for each group of total, common, and uncommon lipids. Then we further divided the total number of carbon atoms in each group into two mutually exclusive subsets; smaller-sized membrane lipids with a number of carbon atoms less than and equal to 60 and larger membrane lipids with more than 60 carbon atoms in their structures. Similarly, for tail carbon atoms in lipids, two subsets were formed in such a way that one includes those with structures with a number of tail carbon atoms less than and equal to 50, and the other includes those with tail carbons numbering more than 50. Mean values of carbon atoms were also computed for these two mutually exclusive subsets (Figures 2, D–F, and 3, D–F). Three independent t tests (two-sample, assuming equal or unequal variances depending on the F test for homo- or heteroscedasticity of the data sets) with alpha = 0.05 were applied on each of the above data sets. For lipids common to plasma membranes of the three domains, the number of carbon atoms in eubacteria was found to be similar to that in eukaryotes (extreme left black and gray bars in Figures 2E and 3E) for both total carbon atoms and carbon atoms in only the fatty acid tails. However, mutually exclusive subsets of the same data showed exactly the opposite trend, that is, the number of carbon atoms in lipids of eukaryotes was higher than in eubacteria (middle and extreme right black and gray bars in Figures 2E and 3E).
Simpson's paradox supports the symbiotic origin of eukaryotes involving eubacteria
The remarkable and complete reversal of association between the average tail lengths of eubacterial and eukaryotic common membrane lipids with their mutually exclusive subsets, shown in Figures 2E and 3E, presented a fascinating statistical anomaly to us. After a substantial literature review, we found that this statistical anomaly, called “Simpson's paradox” (Wagner, 1982), has been reported as a rare phenomenon in biological data, especially clinical data (Tu et al., 2005; Rucker and Schumacher, 2008). To our knowledge, our findings in this work are the first example of Simpson's paradox in biological data at a molecular level through the compositional analysis of chemical structures. Simpson (Simpson, 1951) established that this statistical anomaly, called a paradox due to reversal in association of total data when divided into mutually exclusive data sets, is caused by hidden interactions within the studied variables. However, the exact nature of the hidden interactions is not extractable from this analysis—it simply shows in a clinical setting that the variables are related either through interactions, such as possible exchanges and/or common lineages/origins arising directly out of a common ancestral population (Lindley and Novick, 1981).
Remarkably, Simpson's paradox was observed only in the data of lipids common to eubacteria and eukaryotes and was absent from the data of uncommon lipids between these two domains—the only exception was seen in the total carbon content of their uncommon lipids (Figure 2F). However, this paradox was completely absent from the data of the total carbon content of eubacterial and eukaryotic uncommon lipids after removal of 11 more uniquely shared common lipid types between eubacteria and eukaryotes (inset in Figure 2F). Interestingly, the data from lipids of archaea was independent of this paradox. This significant finding clearly indicates (hidden) interaction(s) and/or association(s) among only the common membrane lipids in plasma membranes of eubacteria and eukaryotes but not those in archaea (regardless of whether they are common or uncommon). In further support of our findings, t tests showed p values > 0.05 for the total carbon and tail carbon content of membrane lipids of eubacteria and eukaryotes only, which also indicates the shared similarities between the plasma membranes of these two domains (Figures 2, D–F, and 3, D–F).
In addition to the above, it is important to consider that the relative abundance of each lipid varies in the plasma membranes of different cells. To account for this, we collected available mole fractions of more than 2000 membrane lipids of archaea, eubacteria, and eukaryotes and reanalyzed the data by computing for the weighted means (i.e., normalized by their relative abundance) of total carbon atoms and total tail carbon atoms in their membrane lipids. Remarkably, we found a similar paradoxical trend in weighted mean values, as observed in the data sets discussed above, using equal weights for each membrane lipid (see Supplemental Figure S1). Here Simpson's paradox was also observed only in the common lipid types of eubacteria and eukaryotes and was absent in the data of uncommon lipids between these two domains and in archaea. Student's t tests on the weighted means of the total carbon atoms and total tail carbon atoms also showed p values > 0.05 for the membrane lipids of eubacteria and eukaryotes only (see Supplemental Figure S1). Thus our data clearly indicate that the first eukaryotic single cells had symbiotic origins, with emphasis on eubacterial lipid components as a source of their plasma membranes. To further explore the nature of the symbiotic origins, we extended our analyses to more structural and compositional parameters of the membrane lipids.
Structural variations responsible for physicochemical properties of plasma membranes reveal a possible exchange of common membrane lipids among domains
We counted the total number of multiple bonds, branched methyl groups, and rings in the tail region of each membrane lipid. Ten concentric circles, each circle representing an evolutionary time point in Ga units, were drawn to represent unsaturation, branched methyl groups, and cyclic rings in the tail regions of membrane lipids of each domain across evolutionary time; we show these separately for total (Figure 4A), common (Figure 4B), and uncommon (Figure 4C) membrane lipids. Further, the mean values of multiple bonds, branching, and tail rings were calculated separately for each domain for each group of total, common, and uncommon lipids (Figure 4, D–F). From archaea to eukaryotes, we observed the increasing mean value of multiple bonds for both common and uncommon lipids, which indicates enhanced lipid mobility, membrane disorder, and fluidity from archaea to eukaryotes (Figure 4D). It is also important to observe here that only common membrane lipids of archaea showed the presence of unsaturation, which is completely absent in their uncommon lipids. It is also interesting that the appearance of oxygen (∼2 Ga) might have aided the introduction of unsaturation in the tails of membrane lipids as the presence of multiple bonds was seen in all domains only after ∼2 Ga (see Figure 4, A–C). As a lipid's tail branching provides structural stability at high temperatures, resistance to oxidation, reduction of permeability to nonelectrolytes (Balleza et al., 2014), and promotion of tubulation/curvature formation in ether lipids (Kozlov et al., 2014), we found tail branching in abundance in archaea but decreased in eubacteria and completely vanished from the common membrane lipid types of eukaryotes (Figure 4, A–C and E). In contrast with the above, tail rings completely disappeared not only from common membrane lipid types of eukaryotes but also from archaeal common lipids (Figure 4, A–C and F). Tail rings were found only in the archaeal uncommon lipids and were completely replaced by a new class of lipids having fused ring-like structures (known as sterols) in eubacteria and eukaryotes. All these structural changes in membrane lipids clearly show increased disorder and mobility of lipids, which in turn enhances the fluidity of the plasma membrane of these domains in favor of changing environmental conditions.
The key observations and inferences from the above are as follows: 1) the presence of multiple bonds only in archaeal common membrane lipids, which was completely absent in their uncommon lipids; 2) a lower amount of branching in common membrane lipids than the uncommon membrane lipids of archaea; 3) complete disappearance of tail rings only in common membrane lipid types of archaea and eukaryotes; 4) complete disappearance of branching only in common membrane lipids of eukaryotes; and 5) these favorable changes, based on comparative analysis of common and uncommon lipids, were more pronounced in the chemical structures of common lipids as compared with uncommon lipids of all three domains (Figure 4, D–F). These observations clearly indicate that only common membrane lipids of archaea were altered in their hydrophobic tail regions in response to the changing environment and thus were preferably selected and exchanged and survived as integral structural features of plasma membranes over time in all domains. Thus structural adaptability of common membrane lipids allowed their successful exchange and/or incorporation into different domains. On the other hand, each domain also evolved with a few more membrane lipid types specific to their own niche (uncommon membrane lipids). Alternatively, transfer of genetic components of common membrane lipids' biosynthetic machineries might have allowed their codevelopment into plasma membrane assemblies. Literature studies revealed that the homologues of key enzymes for fatty acid synthesis and degradation were found to be universally present in all three domains (Lombard et al., 2012a). Apart from this, enzymes that synthesize phospholipids (which is one out of the three common membrane lipid classes) and facilitate attachment of glycerol phosphate to their tail and polar head regions were also found to be commonly conserved in all three domains (Lombard et al., 2012b). Common membrane lipids of the three domains of life strongly indicated the possible exchanges of the membrane lipids or transfer of genetic components of common lipids biosynthetic machineries among domains and/or their common origins from an ancestral population that gave rise to the statistical paradox (Simpson's paradox) that is observed for these lipids only. To our knowledge, this is the first evidence, based on the “third front” (i.e., lipids) and achieved through compositional analysis of lipidomics data, on the symbiotic origins of eukaryotic cells and demonstrating a larger role for eubacteria in formation of plasma membranes.
Proposed model to explain the origin of eukaryotes based on the membrane lipidomics of three domains
Remarkably, we were able to capture significant statistical signatures (from Simpson's paradox and t test analysis) from the plasma membranes of the three domains of life, despite their being highly dynamic and exposed to diverse environmental conditions. The data clearly support the idea that the eukaryotes inherit the majority of their plasma membrane lipids from eubacteria. Further, to investigate the origin of mitochondria/chloroplasts (i.e., energy-producing organelles) in eukaryotes, we collected available ∼400 lipids from the membranes of mitochondria and chloroplasts of 13 eukaryotes. We observed that membranes of these organelles consist of 24 different chemical compositions that include 10 compositions common to all three domains, eight compositions uniquely common to eubacterial plasma membranes, and six unique to the mitochondria (but also present in the plasma membranes of eukaryotes; see Figure 1). Here it is important to note that these eight commonly shared lipid compositions between mitochondrial membranes and plasma membranes of eubacteria were found to be different from 11 uniquely shared lipids between plasma membranes of eubacteria and eukaryotes. However, 10 membrane lipid types common to all three domains were found to be exactly similar to the common lipids of their plasma membranes. Further, quantitative comparisons revealed that the mean value of the total number of carbon atoms and tail carbon atoms was found to be higher in the membrane lipids of eukaryotic organellar membranes than in their plasma membranes (Figures 2, 3, and 5). Student's t tests show that the variation found in the total carbon and tail carbon content of membrane lipids of mitochondria/chloroplasts of eukaryotes and plasma membranes of eubacteria is not statistically significant and thus they might have derived these membranes from the same ancestral population (see Figure 5, A–F). Clearly, since the extrinsic environment for organellar membranes is different from the plasma membranes of eukaryotes and eubacteria, similarities found in the membrane lipids of mitochondria/chloroplasts of eukaryotes and plasma membranes of eubacteria are not as prominent or evident compared with their plasma membranes.
In view of above observations, we propose a hypothetical model to illustrate the evolution of mitochondriate eukaryotes based on membrane lipidomics (Figure 6). It is important to note that the composition of the plasma membrane of the cenancestor remains a topic of debate in evolutionary studies. There are recent reports supporting the idea that the plasma membrane of the cenancestor was composed of two stereotypes; glycerol-1-phosphate (G-1-P) and glycerol-3-phosphate (G-3-P), that is, ether- and ester-bond membrane lipids (Lombard et al., 2012b). Lombard et al. (2012b) proposed that the diversification of these two stereotypic lipids might have led to the emergence of two different lineages, that is, archaea and eubacteria. On the other hand, our results indicate that the diversification of these two stereotypic lipids (included in common membrane lipid types) from the cenancestral plasma membrane led to the emergence of prearchaeal and prebacterial cell lineages. Then these common membrane lipids of prearchaeal cells might have adapted several structural changes and acquired unique membrane lipid types to survive in their niche environments, thus evolving into archaeal cells. Similarly, pre-eubacterial cells might have acquired several changes in the structure of their common lipids and synthesized new lipids to adapt to the changing environment. During this process of evolution of pre-eubacterial cells to eubacteria, some pre-eubacterial cells might have engulfed eubacteria, giving rise to primitive mitochondriate eukaryotes. Hence, while these endosymbiont eubacteria gave rise to the formation of mitochondria, host pre-eubacterial cells shared the nucleic acids and protein pools present in their cytoplasm with the eukaryotes. As these pre-eubacterial cells evolved from the cenancestral cells, eukaryotes shared significant similarities in their information system (i.e., components of replication, transcription, and translation) with archaea (Gribaldo et al., 2010). Later these primitive eukaryotes might have undergone several structural changes in their shared membrane lipids and also might have synthesized numerous unique membrane lipid types. Further, generation of an endomembrane system from a host plasma membrane might have led to the formation of membrane-bound compartments and a nucleus around the host genetic material.
Conclusions
Comparative compositional studies of two key components of central dogma (i.e., nucleic acids and proteins) have provided major insights into the origins of eukaryotes. However, to date, few reports have been available on the evolution of eukaryotic membranes based on the study of components of plasma membranes. Biological membranes are essential primary building blocks for the formation of stable and dynamic living systems. Polymerization of lipid amphipaths not only possibly provided the very first compartment for the origin of life on earth but also changed with the evolution of various species in response to their changing environmental conditions. Thus we also, for the first time, carried out a comprehensive chemical composition–based analysis on the “third front” (i.e., lipids) of plasma membranes of 273 species collected from the three domains of life. Qualitative comparative analysis of classified lipids resulted in three classes of lipids common to all three domains. Further, extensive quantitative analysis of the chemical structures of these common lipids revealed the remarkable Simpson's paradox. Common membrane lipids of eubacteria and eukaryotes showed reverse average trends in their carbon content as compared with their two mutually exclusive subsets. Interestingly, this paradoxical condition was not observed in the case of archaea and for uncommon membrane lipids. This revealed the significant presence of (hidden) interaction(s) and/or association(s) in membrane lipids of eubacteria and eukaryotes. This indicates the symbiotic origin of eukaryotic cells, which utilized eubacterial lipids as a major source of their plasma membranes. We provide further compositional evidence that the common membrane lipids having chemical structures contributing to key membrane functionalities (e.g., permeability, lipid mobility, membrane fluidity) were selected in response to changing environments (passed to the next generation or exchanged) in the three domains individually. Hence the possible exchange of common membrane lipids or the transfer of genetic components of their biosynthetic machineries and/or their emergence from a common ancestral population were found to be the source of this hidden interaction(s) and gave rise to the statistical anomaly discussed earlier. We also observed significant similarities between the mitochondrial membrane lipids of eukaryotes and plasma membrane lipids of eubacteria. Thus, through compositional analysis of “third front” (i.e., lipids) data, we provide the first evidence on the symbiotic origins of eukaryotic cells majorly involving eubacterial lipids in the formation of their plasma membranes and mitochondrial membranes. Further, as the assembly of lipid amphipaths resulting in membrane structures is largely govern by their molecular shapes (Tanford, 1973; Baumgart et al., 2003; Bansal and Mittal 2013), future work on shape/structural classification of lipids in light of the compositional analysis here may shed more light on development of cell structures.
MATERIALS AND METHODS
Membrane lipid compositions of a total of 273 species (74 archaea, 144 eubacteria, and 55 eukaryotes) were collected from the literature along with the species' estimated time of evolution (Hedges et al., 2006; see Supplemental Table S1). A total of 5714 membrane lipids were collected from all of these species. Of these membrane lipids, complete chemical structures of 5382 membrane lipids were available and were therefore recorded. Of these 5382 membrane lipids, molar fractions of 2343 lipids were available and were therefore collected from the literature. On the basis of their chemical composition, these membrane lipids were first classified into 23 different classes with a total of 92 different chemical compositions (see Supplemental Figure S2). Classification of lipids was done by analyzing the chemical composition of each membrane lipid for 1) the type and 2) the number of sugars, sulfates, and/or amines of the core, tail, and other additional molecules present in the head and/or tail region of these lipids (we ignored the difference of ether and ester linkages in archaea and other domains). Archaea consisted of a total of 11 different classes with 34 different membrane lipid compositions, eubacteria contained a total of 14 classes with 45 compositions, and eukaryotes consisted of a total of 16 classes with 47 membrane lipid compositions. We also collected 408 chemical structures of membrane lipids of mitochondria and chloroplasts from 13 eukaryotes (out of the 55 eukaryotes). Organellar membranes consist of eight classes with 24 membrane lipid compositions.
Supplementary Material
Acknowledgments
S.B. is grateful to the Council of Scientific and Industrial Research, Government of India, for research fellowship support.
Abbreviations used:
- G-1-P
glycerol-1-phosphate
- G-3-P
glycerol-3-phosphate
- Ga
giga-annum.
Footnotes
This article was published online ahead of print in MBoC in Press (http://www.molbiolcell.org/cgi/doi/10.1091/mbc.E14-06-1078) on January 28, 2015.
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