Phylogenomic Analyses Support the Monophyly of Excavata and Resolve Relationships Among Eukaryotic ‘‘Supergroups’’
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Lecture Notes: the Mathematics of Phylogenetics
Lecture Notes: The Mathematics of Phylogenetics Elizabeth S. Allman, John A. Rhodes IAS/Park City Mathematics Institute June-July, 2005 University of Alaska Fairbanks Spring 2009, 2012, 2016 c 2005, Elizabeth S. Allman and John A. Rhodes ii Contents 1 Sequences and Molecular Evolution 3 1.1 DNA structure . .4 1.2 Mutations . .5 1.3 Aligned Orthologous Sequences . .7 2 Combinatorics of Trees I 9 2.1 Graphs and Trees . .9 2.2 Counting Binary Trees . 14 2.3 Metric Trees . 15 2.4 Ultrametric Trees and Molecular Clocks . 17 2.5 Rooting Trees with Outgroups . 18 2.6 Newick Notation . 19 2.7 Exercises . 20 3 Parsimony 25 3.1 The Parsimony Criterion . 25 3.2 The Fitch-Hartigan Algorithm . 28 3.3 Informative Characters . 33 3.4 Complexity . 35 3.5 Weighted Parsimony . 36 3.6 Recovering Minimal Extensions . 38 3.7 Further Issues . 39 3.8 Exercises . 40 4 Combinatorics of Trees II 45 4.1 Splits and Clades . 45 4.2 Refinements and Consensus Trees . 49 4.3 Quartets . 52 4.4 Supertrees . 53 4.5 Final Comments . 54 4.6 Exercises . 55 iii iv CONTENTS 5 Distance Methods 57 5.1 Dissimilarity Measures . 57 5.2 An Algorithmic Construction: UPGMA . 60 5.3 Unequal Branch Lengths . 62 5.4 The Four-point Condition . 66 5.5 The Neighbor Joining Algorithm . 70 5.6 Additional Comments . 72 5.7 Exercises . 73 6 Probabilistic Models of DNA Mutation 81 6.1 A first example . 81 6.2 Markov Models on Trees . 87 6.3 Jukes-Cantor and Kimura Models . -
Jpn. J. Protozool. 38(2) 171-183
Jpn. J. Protozool. Vol. 38, No. 2. (2005) 171 Review On the origin of mitochondria and Rickettsia-related eukaryotic endo- symbionts B. Franz Lang1*, Henner Brinkmann1, Liisa B. Koski1, Masahiro Fujishima2, Hans-Dieter Görtz3 and Gertraud Burger1 1Program in Evolutionary Biology, Canadian Institute for Advanced Research; Centre Robert Cedergren, Département de Biochimie, Université de Montréal, 2900 Boulevard Edouard- Montpetit, Montréal, Québec, H3T 1J4, Canada. 2Biological Institute, Faculty of Science, Yamaguchi University, Yamaguchi 753-8512, Japan. 3Abteilung Zoologie, Biologisches Institut, Universität Stuttgart, Pfaffenwaldring 57, 70550 Stuttgart, Germany. SUMMARY sence of genes for oxidative phosphorylation, the TCA cycle, and many other metabolic pathways, Resent insights into the origin and early evo- but the presence of several pathogenesis-related lution of mitochondria come from two approaches: genes and a high number of bacterial IS elements. the investigation of mtDNAs from minimally de- Phylogenetic analyses with multiple protein se- rived (primitive) mitochondriate eukaryotes, in quences place H. obtusa basally to the Rickettsia- particular jakobid flagellates, and of genomes from Ehrlichia-Wolbachia assemblage of bacterial intracellular α-proteobacterial symbionts. Of par- pathogens. This leads us to postulate that H. ob- ticular interest in this context is Holospora obtusa, tusa is the closest bacterial relative of mitochon- an intracellular bacterial endosymbiont that resides dria known to date. and replicates in the somatic nucleus of its eu- karyotic host, the ciliate Paramecium caudatum. Currently we have sequenced close to 50% of the INTRODUCTION ~ 1.7 Mbp H. obtusa genome, revealing the ab- One of the major advancements in under- standing eukaryotic evolution was the discovery that mitochondria evolved from an endosymbiotic α-Proteobacterium, and that mitochondrial DNA *Corresponding author (mtDNA) is a relict bacterial genome. -
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PUBLIC LIBRARY of SCIENCE | plosgenetics.org | ISSN 1553-7390 | Volume 2 | Issue 12 | DECEMBER 2006 GENETICS PUBLIC LIBRARY of SCIENCE www.plosgenetics.org Volume 2 | Issue 12 | DECEMBER 2006 Interview Review Knight in Common Armor: 1949 Unraveling the Genetics 1956 An Interview with Sir John Sulston e225 of Human Obesity e188 Jane Gitschier David M. Mutch, Karine Clément Research Articles Natural Variants of AtHKT1 1964 The Complete Genome 2039 Enhance Na+ Accumulation e210 Sequence and Comparative e206 in Two Wild Populations of Genome Analysis of the High Arabidopsis Pathogenicity Yersinia Ana Rus, Ivan Baxter, enterocolitica Strain 8081 Balasubramaniam Muthukumar, Nicholas R. Thomson, Sarah Jeff Gustin, Brett Lahner, Elena Howard, Brendan W. Wren, Yakubova, David E. Salt Matthew T. G. Holden, Lisa Crossman, Gregory L. Challis, About the Cover Drosophila SPF45: A Bifunctional 1974 Carol Churcher, Karen The jigsaw image of representatives Protein with Roles in Both e178 Mungall, Karen Brooks, Tracey of various lines of eukaryote evolution Splicing and DNA Repair Chillingworth, Theresa Feltwell, refl ects the current lack of consensus as Ahmad Sami Chaouki, Helen K. Zahra Abdellah, Heidi Hauser, to how the major branches of eukaryotes Salz Kay Jagels, Mark Maddison, fi t together. The illustrations from upper Sharon Moule, Mandy Sanders, left to bottom right are as follows: a single Mammalian Small Nucleolar 1984 Sally Whitehead, Michael A. scale from the surface of Umbellosphaera; RNAs Are Mobile Genetic e205 Quail, Gordon Dougan, Julian Amoeba, the large amoeboid organism Elements Parkhill, Michael B. Prentice used as an introduction to protists for Michel J. Weber many school children; Euglena, the iconic Low Levels of Genetic 2052 fl agellate that is often used to challenge Soft Sweeps III: The Signature 1998 Divergence across e215 ideas of plants (Euglena has chloroplasts) of Positive Selection from e186 Geographically and and animals (Euglena moves); Stentor, Recurrent Mutation Linguistically Diverse one of the larger ciliates; Cacatua, the Pleuni S. -
Broadly Sampled Multigene Analyses Yield a Well-Resolved Eukaryotic Tree of Life
Smith ScholarWorks Biological Sciences: Faculty Publications Biological Sciences 10-1-2010 Broadly Sampled Multigene Analyses Yield a Well-Resolved Eukaryotic Tree of Life Laura Wegener Parfrey University of Massachusetts Amherst Jessica Grant Smith College Yonas I. Tekle Smith College Erica Lasek-Nesselquist Marine Biological Laboratory Hilary G. Morrison Marine Biological Laboratory See next page for additional authors Follow this and additional works at: https://scholarworks.smith.edu/bio_facpubs Part of the Biology Commons Recommended Citation Parfrey, Laura Wegener; Grant, Jessica; Tekle, Yonas I.; Lasek-Nesselquist, Erica; Morrison, Hilary G.; Sogin, Mitchell L.; Patterson, David J.; and Katz, Laura A., "Broadly Sampled Multigene Analyses Yield a Well-Resolved Eukaryotic Tree of Life" (2010). Biological Sciences: Faculty Publications, Smith College, Northampton, MA. https://scholarworks.smith.edu/bio_facpubs/126 This Article has been accepted for inclusion in Biological Sciences: Faculty Publications by an authorized administrator of Smith ScholarWorks. For more information, please contact [email protected] Authors Laura Wegener Parfrey, Jessica Grant, Yonas I. Tekle, Erica Lasek-Nesselquist, Hilary G. Morrison, Mitchell L. Sogin, David J. Patterson, and Laura A. Katz This article is available at Smith ScholarWorks: https://scholarworks.smith.edu/bio_facpubs/126 Syst. Biol. 59(5):518–533, 2010 c The Author(s) 2010. Published by Oxford University Press, on behalf of the Society of Systematic Biologists. All rights reserved. For Permissions, please email: [email protected] DOI:10.1093/sysbio/syq037 Advance Access publication on July 23, 2010 Broadly Sampled Multigene Analyses Yield a Well-Resolved Eukaryotic Tree of Life LAURA WEGENER PARFREY1,JESSICA GRANT2,YONAS I. TEKLE2,6,ERICA LASEK-NESSELQUIST3,4, 3 3 5 1,2, HILARY G. -
Giardia Duodenalis and Blastocystis Sp
UNIVERSIDAD COMPLUTENSE DE MADRID FACULTAD DE FARMACIA TESIS DOCTORAL Epidemiología molecular y factores de riesgo de protistas enteroparásitos asociados a diarrea en poblaciones pediátricas sintomáticas y asintomáticas en España y Mozambique MEMORIA PARA OPTAR AL GRADO DE DOCTOR PRESENTADA POR Aly Salimo Omar Muadica Directores David Antonio Carmena Jiménez Isabel de Fuentes Corripio Madrid © Aly Salimo Omar Muadica, 2020 UNIVERSIDAD COMPLUTENSE DE MADRID FACULTAD DE FARMACIA DEPARTAMENTO DE MICROBIOLOGÍA Y PARASITOLOGÍA TESIS DOCTORAL Epidemiología molecular y factores de riesgo de protistas enteroparásitos asociados a diarrea en poblaciones pediátricas sintomáticas y asintomáticas en España y Mozambique MEMORIA PARA OPTAR AL GRADO DE DOCTOR PRESENTADA POR: Aly Salimo Omar Muadica Madrid, 2020 D. DAVID ANTONIO CARMENA JIMÉNEZ, Investigador Distinguido del Laboratorio de Referencia e Investigación en Parasitología, Centro Nacional de Microbiología, Instituto de Salud Carlos III. DÑA. ISABEL FUENTES CORRIPIO, Responsable de la Unidad de Toxoplasmosis y Protozoos Intestinales del Laboratorio de Referencia e Investigación en Parasitología, Centro Nacional de Microbiología, Instituto de Salud Carlos III. CERTIFICAN: Que la Tesis Doctoral titulada “EPIDEMIOLOGÍA MOLECULAR Y FACTORES DE RIESGO DE PROTISTAS ENTEROPARÁSITOS ASOCIADOS A DIARREA EN POBLACIONES PEDIÁTRICAS SINTOMÁTICAS Y ASINTOMÁTICAS EN ESPAÑA Y MOZAMBIQUE” presentada por el graduado en Biología D. ALY SALIMO MUADICA ha sido realizada en el Laboratorio de Referencia e Investigación en Parasitología, Centro Nacional de Microbiología, Instituto de Salud Carlos III, Majadahonda, bajo su dirección y cumple las condiciones exigidas para optar al grado de Doctor en Microbiología y Parasitología por la Universidad Complutense de Madrid. Majadahonda, 30 de junio de 2020 V.º B.º Director V.º B.º Directora D. -
Sex Is a Ubiquitous, Ancient, and Inherent Attribute of Eukaryotic Life
PAPER Sex is a ubiquitous, ancient, and inherent attribute of COLLOQUIUM eukaryotic life Dave Speijera,1, Julius Lukešb,c, and Marek Eliášd,1 aDepartment of Medical Biochemistry, Academic Medical Center, University of Amsterdam, 1105 AZ, Amsterdam, The Netherlands; bInstitute of Parasitology, Biology Centre, Czech Academy of Sciences, and Faculty of Sciences, University of South Bohemia, 370 05 Ceské Budejovice, Czech Republic; cCanadian Institute for Advanced Research, Toronto, ON, Canada M5G 1Z8; and dDepartment of Biology and Ecology, University of Ostrava, 710 00 Ostrava, Czech Republic Edited by John C. Avise, University of California, Irvine, CA, and approved April 8, 2015 (received for review February 14, 2015) Sexual reproduction and clonality in eukaryotes are mostly Sex in Eukaryotic Microorganisms: More Voyeurs Needed seen as exclusive, the latter being rather exceptional. This view Whereas absence of sex is considered as something scandalous for might be biased by focusing almost exclusively on metazoans. a zoologist, scientists studying protists, which represent the ma- We analyze and discuss reproduction in the context of extant jority of extant eukaryotic diversity (2), are much more ready to eukaryotic diversity, paying special attention to protists. We accept that a particular eukaryotic group has not shown any evi- present results of phylogenetically extended searches for ho- dence of sexual processes. Although sex is very well documented mologs of two proteins functioning in cell and nuclear fusion, in many protist groups, and members of some taxa, such as ciliates respectively (HAP2 and GEX1), providing indirect evidence for (Alveolata), diatoms (Stramenopiles), or green algae (Chlor- these processes in several eukaryotic lineages where sex has oplastida), even serve as models to study various aspects of sex- – not been observed yet. -
Multigene Eukaryote Phylogeny Reveals the Likely Protozoan Ancestors of Opis- Thokonts (Animals, Fungi, Choanozoans) and Amoebozoa
Accepted Manuscript Multigene eukaryote phylogeny reveals the likely protozoan ancestors of opis- thokonts (animals, fungi, choanozoans) and Amoebozoa Thomas Cavalier-Smith, Ema E. Chao, Elizabeth A. Snell, Cédric Berney, Anna Maria Fiore-Donno, Rhodri Lewis PII: S1055-7903(14)00279-6 DOI: http://dx.doi.org/10.1016/j.ympev.2014.08.012 Reference: YMPEV 4996 To appear in: Molecular Phylogenetics and Evolution Received Date: 24 January 2014 Revised Date: 2 August 2014 Accepted Date: 11 August 2014 Please cite this article as: Cavalier-Smith, T., Chao, E.E., Snell, E.A., Berney, C., Fiore-Donno, A.M., Lewis, R., Multigene eukaryote phylogeny reveals the likely protozoan ancestors of opisthokonts (animals, fungi, choanozoans) and Amoebozoa, Molecular Phylogenetics and Evolution (2014), doi: http://dx.doi.org/10.1016/ j.ympev.2014.08.012 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. 1 1 Multigene eukaryote phylogeny reveals the likely protozoan ancestors of opisthokonts 2 (animals, fungi, choanozoans) and Amoebozoa 3 4 Thomas Cavalier-Smith1, Ema E. Chao1, Elizabeth A. Snell1, Cédric Berney1,2, Anna Maria 5 Fiore-Donno1,3, and Rhodri Lewis1 6 7 1Department of Zoology, University of Oxford, South Parks Road, Oxford OX1 3PS, UK. -
Phylogeny Codon Models • Last Lecture: Poor Man’S Way of Calculating Dn/Ds (Ka/Ks) • Tabulate Synonymous/Non-Synonymous Substitutions • Normalize by the Possibilities
Phylogeny Codon models • Last lecture: poor man’s way of calculating dN/dS (Ka/Ks) • Tabulate synonymous/non-synonymous substitutions • Normalize by the possibilities • Transform to genetic distance KJC or Kk2p • In reality we use codon model • Amino acid substitution rates meet nucleotide models • Codon(nucleotide triplet) Codon model parameterization Stop codons are not allowed, reducing the matrix from 64x64 to 61x61 The entire codon matrix can be parameterized using: κ kappa, the transition/transversionratio ω omega, the dN/dS ratio – optimizing this parameter gives the an estimate of selection force πj the equilibrium codon frequency of codon j (Goldman and Yang. MBE 1994) Empirical codon substitution matrix Observations: Instantaneous rates of double nucleotide changes seem to be non-zero There should be a mechanism for mutating 2 adjacent nucleotides at once! (Kosiol and Goldman) • • Phylogeny • • Last lecture: Inferring distance from Phylogenetic trees given an alignment How to infer trees and distance distance How do we infer trees given an alignment • • Branch length Topology d 6-p E 6'B o F P Edo 3 vvi"oH!.- !fi*+nYolF r66HiH- .) Od-:oXP m a^--'*A ]9; E F: i ts X o Q I E itl Fl xo_-+,<Po r! UoaQrj*l.AP-^PA NJ o - +p-5 H .lXei:i'tH 'i,x+<ox;+x"'o 4 + = '" I = 9o FF^' ^X i! .poxHo dF*x€;. lqEgrE x< f <QrDGYa u5l =.ID * c 3 < 6+6_ y+ltl+5<->-^Hry ni F.O+O* E 3E E-f e= FaFO;o E rH y hl o < H ! E Y P /-)^\-B 91 X-6p-a' 6J. -
Announcements Protists - Outline Reading: Chap
Announcements Protists - Outline Reading: Chap. 29 • Relevant reading BEFORE lab this week: Ch. 31 I. Introduction • Bring lab atlas AND textbook to lab. A. Diversity of life styles IV. Evolutionary history • Extra credit opportunity: B. Functional classifications A. Kingdom Protista? – Salmon Summit: Wed. 11/3/10, 8-4:45 pm II. Ecological importance B. How are they related St. Luke’s Community Health Education Center to each other? A. Algae C. How did they arise? Bellingham, WA (checking on registration) B. Protozoans D. How are they related III. Life cycles to plants? A. The three basic types B. Examples Diatom I.A. Diversity of life styles Size 1. Size 10 μm 2. Morphology 3. Motility Kelp 4. Energy sources 6 orders of magnitude! 60 m Filamentous (Golden algae) Morphology Gradient in complexity Unicellular (Euglena) Colonial (Pandorina) Multicellular (kelp) 1 Crawling (pseudopodia) Cell walls – protection & support Planktonic Amoeba Diatoms Cilia Flagella Motility Fastened Amoeba Paramecium Euglena Kelp No cell wall Energy source - photoautotrophs Variation in photosynthetic pigments Energy source - heterotrophs Ingestive feeders Absorptive feeders: decomp., parasites I.B. Functional classifications Particle feeder (Stentor) Protozoans - “animal like” Parasite Algae - “plant-like”, i.e., photosynthetic (Trypanosoma) - Eukaryotic photosynthetic organisms that are not plants Decomposer Mix - simple to bizarre (slime mold Don’t necessarily relate to taxonomic Physarum) (ingestive) relationships and evolutionary history Predator (Amoeba) 2 Cellular slime mold – unicellular or multicellular? Mixotroph example - Euglena Cells (n) aggregate when food is scarce Amoebae (n) Spores germinate Amoebae (n) germinate (n) from zygote from spores SEXUAL ASEXUAL REPRODUCTION REPRODUCTION Fruiting body Stalk Giant cell Migrating individual (2n) (slug) (n) Two cells (n) in aggregation fuse, then consume other cells Fig. -
Multiple Roots of Fruiting Body Formation in Amoebozoa
GBE Multiple Roots of Fruiting Body Formation in Amoebozoa Falk Hillmann1,*, Gillian Forbes2, Silvia Novohradska1, Iuliia Ferling1,KonstantinRiege3,MarcoGroth4, Martin Westermann5,ManjaMarz3, Thomas Spaller6, Thomas Winckler6, Pauline Schaap2,and Gernot Glo¨ ckner7,* 1Junior Research Group Evolution of Microbial Interaction, Leibniz Institute for Natural Product Research and Infection Biology – Hans Kno¨ ll Institute (HKI), Jena, Germany 2Division of Cell and Developmental Biology, School of Life Sciences, University of Dundee, United Kingdom 3Bioinformatics/High Throughput Analysis, Friedrich Schiller University Jena, Germany 4CF DNA-Sequencing, Leibniz Institute on Aging Research, Jena, Germany 5Electron Microscopy Center, Jena University Hospital, Germany 6Pharmaceutical Biology, Institute of Pharmacy, Friedrich Schiller University Jena, Germany 7Institute of Biochemistry I, Medical Faculty, University of Cologne, Germany *Corresponding authors: E-mails: [email protected]; [email protected]. Accepted: January 11, 2018 Data deposition: The genome sequence and gene predictions of Protostelium aurantium and Protostelium mycophagum were deposited in GenBank under the Accession Numbers MDYQ00000000 and MZNV00000000, respectively. The mitochondrial genome of P. mycophagum was deposited under the Accession number KY75056 and that of P. aurantium under the Accession number KY75057. The RNAseq reads can be found in Bioproject Accession PRJNA338377. All sequence and annotation data are also available directly from the authors. The P. aurantium strain is deposited in the Jena Microbial Resource Collection (JMRC) under accession number SF0012540. Abstract Establishment of multicellularity represents a major transition in eukaryote evolution. A subgroup of Amoebozoa, the dictyos- teliids, has evolved a relatively simple aggregative multicellular stage resulting in a fruiting body supported by a stalk. Protosteloid amoeba, which are scattered throughout the amoebozoan tree, differ by producing only one or few single stalked spores. -
Superorganisms of the Protist Kingdom: a New Level of Biological Organization
Foundations of Science https://doi.org/10.1007/s10699-020-09688-8 Superorganisms of the Protist Kingdom: A New Level of Biological Organization Łukasz Lamża1 © The Author(s) 2020 Abstract The concept of superorganism has a mixed reputation in biology—for some it is a conveni- ent way of discussing supra-organismal levels of organization, and for others, little more than a poetic metaphor. Here, I show that a considerable step forward in the understand- ing of superorganisms results from a thorough review of the supra-organismal levels of organization now known to exist among the “unicellular” protists. Limiting the discussion to protists has enormous advantages: their bodies are very well studied and relatively sim- ple (as compared to humans or termites, two standard examples in most discussions about superorganisms), and they exhibit an enormous diversity of anatomies and lifestyles. This allows for unprecedented resolution in describing forms of supra-organismal organiza- tion. Here, four criteria are used to diferentiate loose, incidental associations of hosts with their microbiota from “actual” superorganisms: (1) obligatory character, (2) specifc spatial localization of microbiota, (3) presence of attachment structures and (4) signs of co-evolu- tion in phylogenetic analyses. Three groups—that have never before been described in the philosophical literature—merit special attention: Symbiontida (also called Postgaardea), Oxymonadida and Parabasalia. Specifcally, it is argued that in certain cases—for Bihos- pites bacati and Calkinsia aureus (symbiontids), Streblomastix strix (an oxymonad), Joe- nia annectens and Mixotricha paradoxa (parabasalids) and Kentrophoros (a ciliate)—it is fully appropriate to describe the whole protist-microbiota assocation as a single organism (“superorganism”) and its elements as “tissues” or, arguably, even “organs”. -
Protist Phylogeny and the High-Level Classification of Protozoa
Europ. J. Protistol. 39, 338–348 (2003) © Urban & Fischer Verlag http://www.urbanfischer.de/journals/ejp Protist phylogeny and the high-level classification of Protozoa Thomas Cavalier-Smith Department of Zoology, University of Oxford, South Parks Road, Oxford, OX1 3PS, UK; E-mail: [email protected] Received 1 September 2003; 29 September 2003. Accepted: 29 September 2003 Protist large-scale phylogeny is briefly reviewed and a revised higher classification of the kingdom Pro- tozoa into 11 phyla presented. Complementary gene fusions reveal a fundamental bifurcation among eu- karyotes between two major clades: the ancestrally uniciliate (often unicentriolar) unikonts and the an- cestrally biciliate bikonts, which undergo ciliary transformation by converting a younger anterior cilium into a dissimilar older posterior cilium. Unikonts comprise the ancestrally unikont protozoan phylum Amoebozoa and the opisthokonts (kingdom Animalia, phylum Choanozoa, their sisters or ancestors; and kingdom Fungi). They share a derived triple-gene fusion, absent from bikonts. Bikonts contrastingly share a derived gene fusion between dihydrofolate reductase and thymidylate synthase and include plants and all other protists, comprising the protozoan infrakingdoms Rhizaria [phyla Cercozoa and Re- taria (Radiozoa, Foraminifera)] and Excavata (phyla Loukozoa, Metamonada, Euglenozoa, Percolozoa), plus the kingdom Plantae [Viridaeplantae, Rhodophyta (sisters); Glaucophyta], the chromalveolate clade, and the protozoan phylum Apusozoa (Thecomonadea, Diphylleida). Chromalveolates comprise kingdom Chromista (Cryptista, Heterokonta, Haptophyta) and the protozoan infrakingdom Alveolata [phyla Cilio- phora and Miozoa (= Protalveolata, Dinozoa, Apicomplexa)], which diverged from a common ancestor that enslaved a red alga and evolved novel plastid protein-targeting machinery via the host rough ER and the enslaved algal plasma membrane (periplastid membrane).