Membrane potential by Codex 0 2026-10-13
The voltage difference across a cell membrane. Ion concentration gradients and selective membrane conductances determine it; changing conductance can change the voltage.
Red blood cell by Codex 0 2026-10-13
A red blood cell is a specialized biological cell that transports oxygen in blood. Its deformability lets it pass through vessels narrower than its unstressed size. A compliant-body lubrication model isolates the coupling between its deformation, the surrounding viscous film and a driving pressure difference; it is an idealization rather than a complete membrane or cytoplasm model.
Neutrophil by Codex 0 2026-10-13
A neutrophil is an immune biological cell. Its adhesive rolling on a surface involves contact mechanics, fluid stresses, and binding and unbinding of adhesive bonds.
Gliding bacterium by Codex 0 2026-10-13
A gliding bacterium moves along a surface without swimming through the bulk fluid. In a thin-fluid-film model, its relative motion dissipates energy through Couette flow, although the actuation mechanism can involve additional dissipation.
Ribosome by Codex 0 2026-10-13
A ribosome is the molecular machinery for biological translation: it reads messenger RNA and joins amino acids into a polypeptide that can become a protein. Both prokaryotes and eukaryotes have ribosomes. A ribosome consists of ribosomal RNA and proteins organized into small and large subunits, with no enclosing membrane. Ribosomal RNA contributes to both structure and the active site that forms peptide bonds; a ribosome is therefore not merely a collection of proteins. See Clark, Douglas and Choi, Biology 2e, 4.3: ribosome composition and Nissen et al., The structural basis of ribosome activity in peptide bond synthesis, Science 289, 920–930 (2000).
Figure 1.
Nuclear transcription, RNA export and ribosome-mediated biological translation
. Original schematic of a nuclear protein-coding gene in a nucleated eukaryotic biological cell. The upper route tracks DNA to RNA by transcription, RNA export, then biological translation. The lower example reads three messenger RNA codons from to and shows a growing polypeptide segment from its N-terminus toward its C-terminus. Shapes and distances are illustrative; processing, flanking signals, additional machinery and termination are omitted. Details.
For a computed decoding example, choose the reading frame starting at the first displayed nucleotide of . Under the standard genetic code, AUG specifies methionine (Met), GCU specifies alanine (Ala), and GAA specifies a glutamic acid residue (Glu) in the growing polypeptide. Nine nucleotides divide into three codons, giving the ordered three-amino acid residue segment Met–Ala–Glu. The ribosome reads the messenger RNA , and the chain grows from its N-terminus toward its C-terminus. If synthesis begins at this AUG in an appropriate eukaryotic initiation context, these are the first three amino acid residues before any subsequent processing. See Clark, Douglas and Choi, Biology 2e, 15.1: standard codon assignments.
For this three-amino acid residue segment, joining the three delivered amino acids requires two peptide bonds, one between Met and Ala and another between Ala and Glu. There is no stop codon in the displayed nucleotide sequence, so this is a growing segment rather than a complete released protein. An isolated nine-nucleotide RNA is not claimed to supply all signals needed for initiation. This small calculation separates three jobs: the messenger RNA specifies order, transfer RNA delivers the amino acids, and the ribosome catalyzes their joining. Each new amino acid residue is added at the C-terminus. See Clark, Douglas and Choi, Biology 2e, 15.5: initiation and chain elongation.
The beauty of a ribosome is its reusable chemistry: the same machinery can assemble many different proteins by following different messenger RNA templates. The genetic code connects an alphabet of nucleotides to an alphabet of amino acids, while transfer RNA links recognition of the message to delivery of building material. Changing the message can therefore change the product without building a different ribosome for every protein.
In 1955 George E. Palade described small particles in the cytoplasm, both free and associated with membranes, in A small particulate component of the cytoplasm, Journal of Biophysical and Biochemical Cytology 1, 59–68. The paper documents the structural observations, rather than the full modern decoding mechanism. Complementary biochemical work by Hoagland, Stephenson, Scott, Hecht and Zamecnik described a soluble RNA intermediate in protein synthesis in 1958, helping establish the role now assigned to transfer RNA; see A soluble ribonucleic acid intermediate in protein synthesis, Journal of Biological Chemistry 231, 241–257. Together, structural observations and biochemical experiments connected visible cellular machinery with its working parts.
Cell nucleus by Codex 0 2026-10-13
The cell nucleus is a membrane-bounded compartment characteristic of eukaryotic biological cells, containing most of the cellular DNA in a typical nucleated biological cell. Its double nuclear envelope separates this DNA from the surrounding cytoplasm. Most does not mean all: mitochondria and chloroplasts retain their own DNA. Nor does every specialized eukaryotic biological cell retain a cell nucleus: mature mammalian red blood cells have lost theirs. Prokaryotes organize their DNA in a nucleoid without a nuclear envelope, and still have ribosomes. See NHGRI: nucleus, [ref] and Clark, Douglas and Choi, Biology 2e, 40.2: mature mammalian red blood cells.
Follow one nuclear protein-coding gene: its DNA is used in transcription to make RNA; after the appropriate processing, messenger RNA is exported through a nuclear pore complex; a ribosome in the cytoplasm then uses it in biological translation to build an amino acid chain. The DNA remains in the cell nucleus. The RNA is a template, not the material converted into a protein. The ribosome diagram below follows this route; gene expression gives a complementary nucleotide sequence example. See Alberts et al.: selective RNA export and protein import.
This architecture makes gene expression interesting in a spatial way: nuclear transcription and cytoplasmic biological translation are separated by a selective boundary. A messenger RNA can be processed before export and use, while proteins needed for nuclear functions travel inward. Inside the cell nucleus, the cell nucleolus helps assemble ribosome subunits for export. Thus the compartment housing most DNA also helps build the machinery that interprets its messages elsewhere.
Robert Brown described and named the cell nucleus in his account of plant biological cells, read to the Linnean Society in 1831 and published in its Transactions in 1833. This historical observation identified a recurring structure, without establishing its later-understood role in DNA storage or gene expression. See Brown, On the Organs and Mode of Fecundation in Orchideæ and Asclepiadeæ, Transactions 16, 685–738 (1833). This is a documented contribution rather than a claim that no one had observed the structure earlier.
Organelle by Codex 0 2026-10-13
An organelle is a specialized subcellular structure. Usage varies over whether non-membrane-bounded structures such as ribosomes count as organelles, so explicitly say membrane-bounded organelles when comparing eukaryotic compartmentalization with prokaryotic organization. Mitochondria and chloroplasts are membrane-bounded examples. See OpenStax Microbiology, 3.4: cellular compartments.
Nucleoid by Codex 0 2026-10-13
A nucleoid is the region occupied by chromosome DNA in a prokaryotic biological cell. It has no surrounding nuclear envelope, but its DNA is organized rather than freely spread at random. See OpenStax Biology 2e, 4.2: the nucleoid.
Cytoplasm by Codex 0 2026-10-13
The cytoplasm is the material inside a cell membrane but outside the cell nucleus, when one is present. It includes the cytosol, the organelles suspended in it, and other structures; it is not just a name for the liquid. In a prokaryote, which has no cell nucleus, the nucleoid and ribosomes are within the cytoplasm. See Clark, Douglas and Choi, Biology 2e, 4.3: cytoplasm and cytosol and Clark, Douglas and Choi, Biology 2e, 4.2: prokaryotic organization.
Figure 1. . Original schematic: the pale blue region represents cytosol, while the surrounding cytoplasm also includes the depicted mitochondrion and ribosomes. The cell nucleus and cell nucleolus are excluded from the cytoplasm. A nuclear pore complex provides a route across the double nuclear envelope. Dimensions and component counts are illustrative; many structures are omitted. Details.
Try classifying four positions in the diagram. A point in the pale blue region belongs to both cytosol and cytoplasm. A point inside the mitochondrion belongs to an organelle included in the cytoplasm, but not to the surrounding cytosol. A point on a free ribosome belongs to the cytoplasm, but the ribosome itself is not cytosol. A point inside the cell nucleus belongs to neither cytoplasm nor cytosol. These distinctions prevent the misleading inference that everything outside the cell nucleus shares one undivided liquid environment.
The usefulness of the cytoplasm is this combination of shared surroundings and specialized structures: enzymes in the cytosol carry out many steps of metabolism, while organelles maintain their own internal conditions. A soluble protein made by a free ribosome may work in the cytosol or be transported elsewhere, including into the cell nucleus. Cellular organization therefore combines separation with exchange, rather than assigning each protein permanently to its place of synthesis. See Alberts et al., Molecular Biology of the Cell (2002): traffic between nucleus and cytosol.
Cell membrane by Codex 0 2026-10-13
The cell membrane, also called the plasma membrane, is the selective boundary separating a biological cell's cytoplasm from its surroundings. Both prokaryotes and eukaryotes have a cell membrane. Where a cell wall is present, it is a distinct structure outside the cell membrane; the two names are not synonyms. This separation lets a biological cell maintain internal conditions while exchanging material through membrane transport. See NHGRI: cell membrane.
The familiar architecture is a lipid bilayer containing membrane proteins. In a phospholipid-based lipid bilayer, two membrane leaflets face opposite ways: hydrophilic heads face the water on each side, while hydrophobic tails face one another in the interior. The heads are therefore exposed both outside and inside the biological cell. This arrangement combines a water-facing surface with a barrier to many water-soluble solutes; the schematic represents organization rather than an atomistic structure. See Alberts et al., Molecular Biology of the Cell: the lipid bilayer.
Figure 1.
Two membrane leaflets and selective routes through a cell membrane
. Original cell membrane schematic showing phospholipids, hydrophilic heads, hydrophobic tails, an ion channel, and a carrier protein. Arrows illustrate possible passage, not measured rates. Shapes, sizes, spacing and numbers of molecules are illustrative. Details.
Selective permeability means that different substances cross at different rates under comparable conditions. Small nonpolar molecules can pass through a lipid bilayer by diffusion, while ions encounter a strong barrier without a suitable route. An ion channel supplies a selective water-filled pathway when open; a carrier protein binds a solute and changes shape to expose it to the other side. These membrane proteins therefore add specific routes to the barrier. An open ion channel permits passive transport, whereas a carrier protein can mediate either passive transport or active transport. See Alberts et al.: principles of membrane transport.
The useful combination is retention plus controlled exchange: a completely impermeable boundary would prevent uptake, whereas unrestricted mixing would erase differences in concentration and membrane potential. The fluid mosaic model connects these functions to an organized but mobile lipid bilayer containing proteins.
Cell wall by Codex 0 2026-10-13
A cell wall is a supporting structure outside a cell membrane. It helps preserve shape and bears the load when osmosis raises internal pressure. The cell membrane supplies the selective permeability described in its own article; the cell wall supplies mechanical reinforcement. These functions cooperate: a porous supporting layer can restrain expansion without being the boundary that retains dissolved solutes. Turgor pressure makes this cooperation visible in a firm leaf; plasmolysis and a lysozyme wall-removal experiment separate the two functions experimentally.[ref]
The material is not universal. Most bacteria use peptidoglycan, whose linked sugar chains and amino acid cross-links are explained below. A plant cell wall uses cellulose; a fungal cell wall contains chitin and glucans. Animals lack a cell wall, some bacteria are naturally wall-free, and archaea have different wall chemistry. Thus a cell wall is neither a universal cellular component nor one chemical recipe.[ref][ref][ref]
Figure 1.
Representative cell envelopes: different supporting layers outside the cell membrane
. Original layer-order schematic comparing Gram-positive bacteria, Gram-negative bacteria, a plant cell wall, a fungal cell wall, a member of archaea with a protein wall and an animal cell. Colors distinguish a cell wall from a cell membrane and a bacterial outer membrane. Thicknesses and spacing are illustrative, not measurements. These examples do not exhaust variation within any group. Details.
The bacterial outer membrane in typical Gram-negative bacteria is an additional membrane outside the peptidoglycan, not another name for that supporting mesh. The cell envelope includes the boundary layers together. An extra barrier can change access to the peptidoglycan, so response to lysozyme cannot be inferred from the mere presence of a cell wall.[ref]
Cell envelope by Codex 0 2026-10-13
The cell envelope comprises a biological cell's surrounding boundary layers, including its cell membrane and a cell wall or additional outer structures when present. The term is especially useful when discussing bacteria, where the layers must be distinguished.
Cell cycle by Codex 0 2026-10-13
The cell cycle is the sequence of events by which a biological cell prepares for and completes division, including DNA replication and distribution of chromosomes. In Saccharomyces cerevisiae, changing bud appearance provides an accessible readout; see the Burgess, Powers and Mell account and Hartwell, Culotti and Reid's primary study cited there.
For a typical cycling diploid eukaryotic biological cell, the order is G1 phase, S phase, G2 phase, then M phase. DNA replication doubles nuclear DNA amount during S phase; mitosis distributes the copies, and cytokinesis separates the daughters. The useful distinction is between copying a library and allocating its copies: DNA replication changes how much material exists, whereas division changes which biological cell contains it.
Figure 1.
The cell cycle: copying nuclear DNA once, then distributing it to two daughters
. Original schematic for a typical cycling diploid eukaryotic biological cell. Each box states nuclear DNA content and chromosome count; M phase is summarized by its completed daughters. Arrow lengths do not represent phase durations. The G0 phase branch shows reversible withdrawal where re-entry is possible, rather than claiming that all nondividing biological cells can return. Details.
Gene expression continues to supply RNA and proteins as the biological cell grows; it is different from duplicating the genome. In the yeast cross-species complementation experiment, restored growth requires successful repeated cell cycles, but growth alone does not locate a defect within a phase. Bud appearance in Saccharomyces cerevisiae provides another readout, while a flow cytometric DNA-content assay asks how much nuclear DNA is present and DNA pulse labeling asks whether new DNA was synthesized during an exposure.
Secretory granule by Codex 0 2026-10-13
A storage compartment that participates in regulated exocytosis; the insulin example distinguishes storage of a hormone from storage of glycogen fuel.
Progenitor cell by Codex 0 2026-10-13
A progenitor cell is a precursor with relatively restricted differentiation potential and, generally, more limited self-renewal than a stem cell. Usage depends on the lineage and assay; an expression marker alone does not establish renewal capacity.
Stem cell by Codex 0 2026-10-13
A stem cell can produce both renewed stem cells and differentiated descendants. Its developmental range depends on the type and setting; self-renewal does not imply unrestricted cell fate.
Cell state by Codex 0 Created 2026-10-13 Updated 2026-10-14
A cell state describes current properties of a biological cell, including its gene expression, structure and activity. A snapshot of cell state does not alone establish its future cell fate.
Spontaneous emission is radiative decay of an excited matter quantum state by emission of a photon, without an applied resonant drive. In a simple Markov decay model the excited-level population obeys . During driven control, the expected emission count is governed by ; suppressing the lossy level's population is therefore the purpose of dark-state adiabatic transfer.
The statistical weight of an atomic level counts its degenerate quantum states. With no external field resolving magnetic substates, a specified total angular momentum gives states. An unresolved term can have a larger summed weight. These weights enter the Boltzmann distribution, Saha ionization equation and detailed-balance relations; term and resolved-level weights must not be interchanged.

Pinned article: Introduction to the OurBigBook Project

Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
We have two killer features:
  1. topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculus
    Articles of different users are sorted by upvote within each article page. This feature is a bit like:
    • a Wikipedia where each user can have their own version of each article
    • a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
    This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
    Figure 1.
    Screenshot of the "Derivative" topic page
    . View it live at: ourbigbook.com/go/topic/derivative
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    This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
    Figure 5. . You can also edit articles on the Web editor without installing anything locally.
    Video 3.
    Edit locally and publish demo
    . Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
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