Cells of the nervous system

PSY 511.001 Spr 2026

Rick Gilmore

Department of Psychology

Prelude

For fun

Figure 1: Neural Academy (2020)

Announcements

Today’s topics

  • Why should (psychologists) care?
  • Cellular neuroanatomy
  • Neurophysiology I

Warm-up

How old is the vertebrate nervous system plan?

  • A. \(\approx\) 5 million years
  • B. \(\approx\) 50 million years
  • C. \(\approx\) 500 million years
  • D. \(\approx\) 4 billion years

How old is the vertebrate nervous system plan?

  • A. \(\approx\) 5 million years
  • B. \(\approx\) 50 million years
  • C. \(\approx\) 500 million years
  • D. \(\approx\) 4 billion years

Figure 2: https://www.britannica.com/science/evolution-scientific-theory
Figure 3: Scale: (2023)

Herculano-Houtzel and colleagues revealed all of the following EXCEPT:

  • A. Human brains have more neurons in the cerebral cortex than other primates.
  • B. Human brains have comparable numbers of non-neuronal cells for their body size.
  • C. The human cerebellum contains an appropriate number of neurons for a primate of its size.
  • D. The human cerebellum has 3x fewer neurons than the cerebral cortex.

Herculano-Houtzel and colleagues revealed all of the following EXCEPT:

  • A. Human brains have more neurons in the cerebral cortex than other primates.
  • B. Human brains have comparable numbers of non-neuronal cells for their body size.
  • C. The human cerebellum contains an appropriate number of neurons for a primate of its size.
  • D. The human cerebellum has 3x fewer neurons than the cerebral cortex.

During which periods(s) is neurogenesis prominent in the human cerebral cortex?

  • A. 1st trimester
  • B. 2nd trimester
  • C. 1st and 2nd trimester
  • D. Prenatal and postnatal

During which periods(s) is neurogenesis prominent in the human cerebral cortex?

  • A. 1st trimester
  • B. 2nd trimester
  • C. 1st and 2nd trimester
  • D. Prenatal and postnatal

Why should (psychologists) care?

Single-celled organisms

  • Behave
Figure 5: Purushotham (2007)
  • Escherichia Coli (E. Coli)
  • Tiny, single-celled bacterium
  • Feeds on glucose
  • Chemo (“taste”) receptors on surface membrane
  • Flagellum for movement
  • Food concentration regulates duration of “move” phase
  • ~4 ms for chemical signal to diffuse from anterior/posterior

Learn

Figure 6: Eckert et al. (2024)
Figure 7: Rajan et al. (2023)

Communicate

  • via mechanisms similar to multicellular organisms

Biological channels

  • Chemical
    • via diffusion; slow(er)
    • Within & between cells
    • Molecular matching (binding) for specificity
    • Metabolically efficient
  • Electrical
    • Fast(er) (10-100x)
    • Within cells
    • From one part of body to another
    • Point-to-point connections for specificity
    • Metabolically costly to create & maintain

Paramecium

  • 300K larger than E. Coli
  • Propulsion through coordinated beating of cilia
  • Diffusion from head to tail ~40 s!
  • Use electrical signaling instead
    • \(Na^+\) channel opens (e.g., when stretched)
    • Voltage-gated \(Ca^{++}\) channels open, \(Ca^{++}\) enters, triggers cilia
    • Signal across cell within ms

Caenorhabditis Elegans (C. Elegans)

Figure 8: Bio-Rad Laboratories (2013)
  • ~10x larger than paramecium
  • multicellular invertebrate
  • 302 neurons (118 classes) + 56 glial cells (out of 959 total cells) (Hobert, 2010)
  • Swim, forage, mate

So, why nervous systems?

Figure 9: Sterling & Laughlin (2021)
  • Chemical communication specific (neurotransmitters \(\rightarrow\) receptors)
  • Energy efficient
  • But slow
  • Bigger bodies \(\rightarrow\) fast(er) communication
    • To/from periphery

Why nervous systems?

  • Steering
    • Multicellular bodies
    • Approach/avoid
  • Store/recall past events
    • Greater storage capacity
  • Predict the future
  • (Richer) communication

Brain energetics

The human brain is just 2% of the body’s weight, but 20% of its metabolic load, and 10 times more expensive per gram than muscle. On the other hand, the brain manages to produce poetry, design spacecraft, and create art on an energy budget of 20 W, a paltry sum given that the computer on which this article is being typed requires 80 W.

Balasubramanian (2021)

Who (what) am I?

Who (what) am I

Who (what) am I?

  • 20,000-25,000 human genes
  • \(\approx\) 2-20 million genes in non-human “metagenome”
  • Human Microbiome Project Consortium (2012); Tierney et al. (2019)
  • humans as supraorganisms (Gilbert, Sapp, & Tauber, 2012)

Gilbert et al. (2012)

Gilbert et al. (2012)

When am I me?

Cell Type Lifespan Primary Function
Intestinal epithelium 2-5 days Nutrient absorption; barrier
Sperm cells \(\approx\) 2-3 mos Reproduction
Red blood cells 120 days Oxygen transport
Liver cells 1 year Metabolism/Detoxification

Sender & Milo (2021); Spalding, Bhardwaj, Buchholz, Druid, & Frisén (2005); “Gemini - direct access to google AI (n.d.)

When am I me?

Cell Type Lifespan Primary Function
Skeleton 10+ years Structural support
Egg cells Menopause Reproduction
Neurons Lifetime Signal processing/memory

Sender & Milo (2021); Spalding et al. (2005); “Gemini - direct access to google AI (n.d.)

Cellular neuroanatomy

How many neurons and glia?

  • Old “lore”: ~100 billion neurons
  • New estimate (Azevedo et al., 2009):
    • ~86 +/- 8 billion neurons
    • ~85 +/- 9 billion glia

Tip

How long would it take you to count 170 billion cells?

How would you estimate how long?

  • 60 s/min x 60 min/hr x 24 hrs/day x 365 days/ yr = 31,536,000 s/yr
  • 1.7e11/31,536,000 = 5,390 years

“Back of the envelope” calculations/guess-timates are extremely useful–in science and in other aspects of life.

“These findings challenge the common view that humans stand out from other primates in their brain composition and indicate that, with regard to numbers of neuronal and nonneuronal cells, the human brain is an isometrically scaled-up primate brain.”

Azevedo et al. (2009)

Figure 10: Azevedo et al. (2009) Figure 2

Glia (neuroglia)

  • “Glia” means glue
  • Functions
    • Structural support
    • Metabolic support
    • Brain development
    • Neural plasticity?
  • Multiple types
Figure 11: Wikipedia 2

Astrocytes

  • “Star”-shaped cells
  • Physical and metabolic support
Figure 12: https://en.wikipedia.org/wiki/Astrocyte

Astrocytes

  • Interact with neurons
    • Ion (Ca++/K+) buffering
    • Neurotransmitter (e.g., glutamate) buffering
  • Regulate/influence communication between neurons (Bazargani & Attwell, 2016)
Figure 13: https://en.wikipedia.org/wiki/Astrocyte

Astrocytes

https://en.wikipedia.org/wiki/Astrocyte

https://en.wikipedia.org/wiki/Astrocyte

https://en.wikipedia.org/wiki/Astrocyte

https://en.wikipedia.org/wiki/Astrocyte

Myelinating cells

Myelin

  • outer covering of neurons
  • provided by separate class of glial cell
  • increases the speed of signal (action potential) conduction.
  • found in all vertebrates3
  • The white in white matter

https://www.hydroassoc.org/grey-matter-brain-damage/

https://www.hydroassoc.org/grey-matter-brain-damage/

See also: https://en.wikipedia.org/wiki/Myelin

Oligodendrocytes

  • In brain and spinal cord (CNS)
  • 1:many neurons
Figure 14: Wikipedia contributors (2026c)4

Oligodendrocytes

Figure 15: Wikipedia contributors (2025d)5

Schwann cells

  • In peripheral nervous system (PNS)
  • 1:1 neuron
Figure 16: https://www.brainfacts.org/brain-anatomy-and-function/cells-and-circuits/2018/schwann-cells-keep-signals-strong-012918
Figure 17: https://en.wikipedia.org/wiki/Schwann_cell

TV-show-inspired mnemonic

Central Oligodendrocytes Peripheral Schwann cells

TV-show-inspired mnemonic

Schwann cells Peripheral Oligodendrocytes Central

Microglia

  • Phagocytosis
  • Clean-up damaged, dead tissue
  • ‘Pruning’ of synapses in normal development
Figure 18: Wikipedia contributors (2025b)6

Microglia

Wikipedia contributors (2025b)

Wikipedia contributors (2025b)

Neurons

Figure 19: Neurons in mouse hippocampus: http://www.extremetech.com/wp-content/uploads/2012/03/a-mouse-hippocampus-640x353.jpg

What makes neurons “special”

Macrostructure

  • Dendrites
  • Soma
  • Axons
  • Terminal buttons (boutons)
Figure 20: Wikipedia

Dendrites

  • Majority of input to neuron
  • Passive (do not generate current flows) vs. active (generate current flows like axons)
Figure 21: https://askabiologist.asu.edu/neuron-anatomy

Dendrites

  • “Polarized” or directional information flow (to soma)

https://askabiologist.asu.edu/neuron-anatomy

https://askabiologist.asu.edu/neuron-anatomy

Dendritic Spines

  • Protrusions from dendrites
  • Concentrate effects of local current flows, biochemical reactions
Figure 22: Wikipedia contributors (2025c)7

Soma (cell body)

  • Varied shapes
  • Nucleus

Wikipedia

Wikipedia

Soma (cell body)

  • Nucleus
    • Mitochondria
      • Source of Adenosine Triphosphate (ATP), chemical energy
    • Smooth and Rough Endoplasmic reticulum (ER)
      • Synthesis of proteins, lipids, calcium storage, …

Wikipedia

Wikipedia

Axons

  • Another branch-like “extrusion” from soma
  • Extend farther than dendrites
  • Usually transmit info
Figure 23

Axon components

  • Axon initial segment (closest to soma, unmyelinated)
  • Nodes of Ranvier (unmyelinated segments along axon)
  • Axon terminals, terminal buttons, synaptic boutons
Figure 24: Wikipedia contributors (2025a)

Nodes of Ranvier

  • Gaps in myelin sheath
  • Neuronal membrane exposed to extracellular space
  • Action potential regenerates

Synaptic bouton (terminal button)

  • Synapse (~1-1,000s/neuron)
  • Pre- (sending side) and postsynaptic (receiving side) membranes
  • Synaptic cleft
  • Synaptic vesicles
    • Store/release neurotransmitters
Figure 25

Autoreceptors & transporters

Figure 26: Torres, Gainetdinov, & Caron (2003) Figure 18

Classifying neurons

  • Functional role
    • Input (sensory), output (motor/secretory), interneurons
  • Anatomy of axons
    • Unipolar
    • Bipolar
    • Multipolar
Figure 27

If the soma was a marble…

Part Real Size Scale Model
Soma \(\approx\) 20 µm 15 mm (marble)
Axon Thickness \(\approx\) 1 µm 0.75 mm (fishing line)
Local Axon Length \(\approx\) 1 mm 75 cm (arm’s length)
Long Axon Length \(\approx\) 1 m 750 m (nearly 1/2 mile)

Classifying neurons

  • By specific anatomy
    • Pyramidal cells
    • Stellate cells
    • Purkinje cells
    • Granule cells
Figure 28: Wikipedia contributors (2026b)9

Classifying neurons

Figure 29: Pyramidal cell (left) | Stellate cell (right) from Wikipedia

Morphology, physiology, gene transcription

Figure 30: Zeng & Sanes (2017) Figure 110

Figure 31: Zeng & Sanes (2017) Figure 611

Figure 32: Boldog et al. (2018) Figure 412

Neurophysiology

Basic principles

  • Electrical potential (== voltage)
    • Think of potential energy
    • Voltage ~ pressure
    • Energy that will be released if something changes
Figure 33: Illustration of kinetic and potential energy

Basic principles

  • Current flow (\(I\)) across membrane
  • Resistors resist current flow
  • Product \(IR\) is electromotive force (\(E\)) or voltage
    • Resistors dissipate (as heat) energy stored in voltage source

\[E = IR\]

Figure 34: Simple circuit schematic

Basic principles

  • A capacitor (\(C\)) accumulates electrical charge
  • Stores & releases charge
  • Camera flash uses a capacitor
Figure 35: How capacitors work; http://hyperphysics.phy-astr.gsu.edu/hbase/electric/imgele/capchg.png

Measuring electrical potential

  • In the neuron
  • Electrode on inside
  • Electrode on outside (reference)
  • Inside - Outside = potential
Figure 36: Measuring the resting potential.

Neurons have electrical potential

  • Have potential energy
  • Resting potential
    • Voltage across neuronal membrane when cell is ‘at-rest’ (not firing)
    • Inside typically -60-70 mV, with respect to outside
    • ~1/20th typical \(1.5V\) AA battery

Neuron as a dynamical system

  • In a (temporarily stable) equilibrium
    • Not really at “rest”
  • Influenced by multiple forces
  • Forces balance-out (for now)

Studying systems in equilibrium

  • What are the forces?
  • How do the forces act on the system individually?
  • How do the forces act on the system collectively?
  • What happens when the forces or the balance among them changes?

Metaphor I

Figure 37: Tug-o-war illustrating a balance among forces.

The drama of the resting potential

  • Characters
  • Setting
  • Forces

Metaphor II

  • Annie/Alex (\(A^-\)) was having a party.
    • Used to date Nate/Natalie (\(Na^+\)), but now sees Karl/Kristie (\(K^+\))
  • Hired bouncers called
    • “The Channels”
    • Let Karl/Kristie and friends in or out, keep Nate/Natalie out

Metaphor II

  • Annie/Alex’s friends (\(A^-\)) and Karl/Kristie’s (\(K^+\)) mostly inside
  • Nate/Natalie and friends (\(Na^+\)) mostly outside
  • Claudia/Claude (\(Cl^-\)) tagging along

Key players

  • Ions
    • Potassium, \(K^+\)
    • Sodium, \(Na^+\)
    • Chloride, \(Cl^-\)
    • Calcium, \(Ca^{++}\)
    • Organic anions, \(A^-\)
  • Ion channels
  • Separation between charges
  • A balance of forces

Ion channels

  • Macromolecules that form openings in membrane
  • Different types of subunits
  • Selective (permit some ions to flow)
  • Vary in permeability (allow some substances to pass more than others)

Moss & Smart (2001) Figure 1

Moss & Smart (2001) Figure 1

Ion channels

  • Types
    • Passive/leak
    • Voltage-gated
    • Ligand-gated (chemically-gated)
    • Transporters

Types of ion channels.

Types of ion channels.

Na+/K+ “pump”

  • Also known as Na+/K+-ATPase
  • Moves ions across membrane
  • With metabolic “help” (energy expenditure)

Sodium/potassium “pump”, Wikipedia contributors (2026d)

Sodium/potassium “pump”, Wikipedia contributors (2026d)

Metaphor III

Kaunda, Kimambo, & Nielsen (2012) Figure 6

Kaunda et al. (2012) Figure 6

Forces at work I

  • Force of diffusion
    • Movement from higher concentration to lower
    • Stop when concentrations ==

Wikipedia contributors (2026a)

Wikipedia contributors (2026a)13
Figure 38: Concord Consortium (concord.org)

Forces at work II

  • “Metabolic” force via Na/K-ATPase
  • 3 \(Na^+\) out : 2 \(K^+\) in
  • Creates/sustains ion concentration imbalances

Wikipedia contributors (2026d)

Wikipedia contributors (2026d)

Spotlight on \(K^+\)

  • Na/K-ATPase pumps K+ in
  • \([K^+]_{i} \approx 150 mM\)
  • \([K^+]_{o} \approx 4 mM\)
  • Inside >> Outside

Your turn

If there’s an opening in the membrane, what direction will the force of diffusion push \(K^+\) ions?

Spotlight on \(K^+\)

  • Passive \(K^+\)-selective channels in membrane open
  • \(K^+\) flows out

Your turn

All things being equal, when will the outflow of \(K^+\) due to the force of diffusion stop?

Forces at work III

  • Electrostatic force
    • Movement of charged particles (ions) == current
    • Like charges repel; opposite charges attract
    • Build-up of charges along membrane creates a voltage

How capacitors work; http://hyperphysics.phy-astr.gsu.edu/hbase/electric/imgele/capchg.png

How capacitors work; http://hyperphysics.phy-astr.gsu.edu/hbase/electric/imgele/capchg.png

Electrostatic force

  • Membrane acts like a capacitor

How capacitors work; http://hyperphysics.phy-astr.gsu.edu/hbase/electric/imgele/capchg.png

How capacitors work; http://hyperphysics.phy-astr.gsu.edu/hbase/electric/imgele/capchg.png

Focus on \(K^+\)

  • \(K^+\) ions move outward
  • Line up along outside of membrane
  • \(A^-\) ions can’t escape
    • line up along inside

Focus on \(K^+\)

  • \(K^+\) / \(A^-\) separation creates voltage across membrane

Important

Is the voltage positive (+) or negative (-)?

What sign of voltage (+/-) will stop \(K^+\) outflow?

Focus on \(K^+\)

  • Flow stops at equilibrium potential
  • Equilibrium potential for \(K^+ \approx -90mV\)
  • Nernst equation14

Nernst equation, www.physiologyweb.com

Nernst equation, www.physiologyweb.com

Story so far

  • Na/K-ATPase creates inside/outside concentration differences
  • Outflow of \(K^+\) \(\rightarrow\) a negative membrane potential

www.physiologyweb.com

www.physiologyweb.com

Your turn

  • Resting potential is \(\approx\) -60-70 mV, more positive than the -90 mV that would stop \(K^+\) outflow
  • Why?

Focus on \(Na^+\)

  • Na/K-ATPase pumps \(Na^+\) out
  • \([Na^+]_{i} \approx 10 mM\)
  • \([Na^+]_{o} \approx 140 mM\)
  • Outside >> Inside

Your turn

If there is an open channel, what direction will the force of diffusion push \(Na+\) ions?

Focus on \(Na^+\)

  • Passive channels for \(Na^+\) not especially permeable, but
  • Some \(Na^+\) flows in

Your turn

All things being equal, when will the inflow of \(Na+\) due to the force of diffusion stop?

Focus on \(Na^+\)

  • Flow stops at equilibrium potential for \(Na^+\)
  • Calculate using Nernst equation

Nernst equation

Nernst equation

Your turn

What is the sign of the equilibrium potential for \(Na^+\)

Or, what inside/outside voltage would stop the inflow of \(Na^+\)?

Story thus far

  • Na/K-ATPase creates Na/K concentration imbalances
  • \(K^+\) outflow makes membrane potential negative
    • Membrane potential approaches, but does not reach \(K^+\) equilibrium potential (\(\approx -90 mV\))
  • \(Na^+\) inflow makes membrane potential (more) positive than system with \(K^+\) alone

Metaphor I

Tug-o-war illustrating a balance among forces.

Tug-o-war illustrating a balance among forces.

A combination of forces

  • Calculate net effects of ion flow across membrane via
  • Goldman-Hodgkin-Katz equation

Goldman-Hodgkin-Katz equation

Goldman-Hodgkin-Katz equation

Wikipedia

Wikipedia

Ions contributing to the resting potential

Ions contributing to the resting potential

Summary of forces

Ion Concentration gradient Force of diffusion Driving force
\(K^+\) \([K^+]_{i} >> [K^+]_{o}\) outward outward
\(Na^+\) \([Na^+]_{i} << [Na^+]_{o}\) inward strongly inward

Driving force

  • Difference between
    • Ion equilibrium potential
    • Current membrane potential
  • Driving force >> if membrane potential far from ion equilibrium potential

From rest to action

  • What ion has the strongest driving force when the neuron is at resting potential?
  • Which way will that ion flow?
  • What will happen to the membrane potential if flow for that ion increases?

From rest to action

  • What change(s) could alter the neuron’s equilibrium state (change the resting potential)?

Figure 39: khanacademymedicine (2012)

Wrap-up

Main points

  • Behavior in complex multicellular organisms builds upon their \(\approx 4 B\) year history
    • (Slower) chemical communication via diffusion
    • (Faster) Electrical communication along membrane via ion flows

Main points

  • Glia consist of three main types
    • Astrocytes
    • Myelinating cells (Oligodendrocytes in CNS & Schwann cells in PNS)
    • Microglia
  • Neurons may be classified by multiple structural and functional features
    • Directional information flow: Dendrites \(\rightarrow\) soma \(\rightarrow\) axon

Main points

  • Like other cells, neurons have a negative resting membrane potential
    • Na/K-ATPase creates concentration differences inside & outside the cell
    • \(K^+\) concentrated inside; \(Na^+\) outside
  • Membrane has channels that permit ions to flow
    • When the channels are open; some are gated (open and close).

Main points

  • Neuron’s -60-70 mV resting potential a combination of outward flows of \(K^+\) and inward flows of \(Na^+\)
    • Compromise between the -90 mV equilibrium potential for \(K^+\) and the +50 mV value for \(Na^+\)
  • Balance between force of diffusion & electrostatic force

Next time

  • Cellular neuroscience II
    • Action potential
    • Synaptic transmission

Resources

About

This talk was produced using Quarto, using the RStudio Integrated Development Environment (IDE), version 2026.1.0.392.

The source files are in R and R Markdown, then rendered to HTML using the revealJS framework. The HTML slides are hosted in a GitHub repo and served by GitHub pages: https://psu-psychology.github.io/psy-511-scan-fdns-2026-spring/

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Footnotes

  1. “Timeline of Key Human Neurodevelopmental Processes and Functional Milestones.”

  2. Neuron (yellow), astrocyte (green), oligodendrocyte (blue), microglia (reddish brown)

  3. except jawless fish

  4. “A neuron cell diagram, cropped to show oligodendrocyte and myelin sheath. By Neuron_with_oligodendrocyte_and_myelin_sheath.svg: *Complete_neuron_cell_diagram_en.svg: LadyofHatsderivative work: Andrew c (talk) - Neuron_with_oligodendrocyte_and_myelin_sheath.svg, Public Domain, https://commons.wikimedia.org/w/index.php?curid=10888009.”

  5. “An oligodendrocyte seen myelinating several axons. By Artwork by Holly Fischer - http://open.umich.edu/education/med/resources/second-look-series/materials - CNS Slide 9, CC BY 3.0, https://commons.wikimedia.org/w/index.php?curid=24367135”

  6. “Rat microglia grown in tissue culture in green, along with nerve fiber processes shown in red. By GerryShaw - Own work, CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?curid=17504964.”

  7. “Spines on the dendrite of a medium spiny striatal neuron. The image was obtained by expressing Enhanced Green Fluorescent Protein (EGFP) in the neurons and imaging them using a laser scanning two photon microscope. By http://en.wikipedia.org/w/index.php?title=User:Tmhoogland&action=edit - http://en.wikipedia.org/wiki/Image:Spines.jpg, Public Domain, https://commons.wikimedia.org/w/index.php?curid=1826453”

  8. “Monoamine transporters are localized to perisynaptic sites, where they are crucial for the termination of monoamine transmission and the maintenance of presynaptic monoamine storage. Several selective pharmacological agents acting at each monoamine transporter are shown. Amph., amphetamine; DA, dopamine; DAT, Dopamine transporter; L-DOPA, L-3,4-dihydroxyphenylalanine; 5-HT, 5-hydroxytryptamine; MPP+, 1-methyl-4-phenylpyridinium; MDMA, (+)-3,4-methylenedioxymethamphetamine; NA, noradrenaline; NET, noradrenaline transporter; SERT, 5-HT transporter”

  9. “A human neocortical pyramidal cell stained via Golgi’s method. The apical dendrite extends vertically above the soma (cell body) and the numerous basal dendrites radiate laterally from the base of the cell body. Photo by Bob Jacobs, Laboratory of Quantitative Neuromorphology Department of Psychology Colorado College https://www.coloradocollege.edu/basics/contact/directory/people/jacobs_bob.html.”

  10. “Neurons can be classified using morphological, physiological and molecular criteria. a | Representative examples of five subclasses of cortical neurons obtained from brain slices. The cells were filled with biocytin, stained and imaged following patch clamp recording (see part b). Each subclass has distinct morphological features. For the four interneurons on the left, the dendrites are shown in dark grey and the axons in light grey. The soma of the 5-hydroxytryptamine receptor 3A-expressing (HTR3A+) sparse neuro- gliaform cell is located in layer 1, and its axons are also concentrated in this layer. The vasoactive intestinal peptide-expressing (VIP+) bipolar cell has a characteristic bipolar dendritic extension. The soma of the somatostatin-expressing (SST+) deep Martinotti cell is located in layer 5/6, and its axons extend upward into layer 1. The parvalbumin-expressing (PVALB+) basket cell has basket-like axonal arborisation. For the excitatory neuron on the right, the apical dendrites are shown in dark grey and the basal dendrites in light grey. This is a layer 5, thick-tufted cell from a retinol-binding protein 4 (Rbp4) gene promoter-driven Cre-expressing mouse. The cell features thick apical dendritic tufts extending into layer 1. These morphological features are consistent with those described in published reports49,130,140. b | Differential electrophysiological responses of the five subclasses of neurons shown in part a to square pulses of current in patch clamp recordings. For example, the HTR3A+ cell is late spiking, whereas the PVALB+ cell is fast spiking. These responses are consistent with those described in published reports49,130,140. c | Differential molecular signatures of the five subclasses of cortical neurons illustrated in part a derived from single-cell RNA-sequencing data. The violin plot shows the collective gene expression profile for each gene of all the cells in a type (cluster). We define the smallest discrete clusters of cells as types and the aggregates of types that share common features as classes or subclasses. Each transcriptomic cell type is shown as a column of data points with the same colour (the colour coding corresponds to that of the transcriptomic taxonomy shown in Fig. 5). Shown here are three interneuron cell types expressing Htr3a but notVip, six interneuron cell types expressing Vip, six interneuron cell types expressing Sst and seven interneuron cell types expressing Pvalb. All of the interneurons express glutamate decarboxylase 1 (Gad1). Also shown are eight layer 5 excitatory neuron types, all of which express solute carrier family 17 member 7 (Slc17a7). All of the cells express synaptosome-associated protein 25 (Snap25). The height of each ‘violin’-shaped data point represents the range of expression levels of the gene, and the width represents the proportion of cells displaying a particular level of expression. Parts a and b are from the Allen Cell Types Database (see Further Information). Part c is adapted with permission from Ref. 136.”

  11. “The figure shows a proposed hierarchical classification of cells in the retina (a) and cerebral cortex (b). In both areas, individual cell types can be grouped into classes, and intermediate levels of subclasses can be determined based on distinct morphological, physiological and molecular features. Higher-order groupings (such as those shown in part a, including sensory neurons, interneurons and projection neurons) may emerge once enough areas have been provided and compared. Types are the commonly recognized (‘validated’) terminal branches in the current hierarchical arrangement of cell types. Lower-order groupings into subtypes may largely be provisional until additional data are collected that could determine if they could form new types or should be merged into other types. Dashed lines indicate the presence of additional types that cannot be labelled due to lack of space. The question marks in part a indicate that the hierarchical relationship among the indicated cell types remains unclear. The question mark in part b indicates that the status of the cortical cell groups indicated may be either subclasses, types or subtypes. CT, cortico-thalamic neurons; DS, direction-selective retinal ganglion cells (RGCs); F, forkhead box P2 (Foxp2)-expressing RGCs; HTR3A, 5-hydroxytryptamine receptor 3A; ipRGC, intrinsically photosensitive RGCs; IT, intratelencephalic neurons; L4, layer 4; L6b, layer 6b subplate neurons; nGnG, non-GABAergic-non-glycinergic amacrine cells; ooDSGC, ON-OFF direction-selective RGCs; PT, pyramidal tract neurons; PVALB, parvalbumin; SST, somatostatin; VIP, vasoactive intestinal peptide.”

  12. “a, Examples of different firing patterns induced by current injections in layer 1 interneurons. Firing pattern of an RC (top), an NGFC (middle), and an unidentified layer 1 interneuron (bottom). b, SVM-based wrapper-feature selection of electrophysiological parameters for the identification of RCs. Anatomically identified RCs (red dots) and other types of interneurons with known morphology (black dots) are mapped to the distribution of electrophysiological features ranked as the two best delineators by SVM. Black lines show the best hyperplane separating RCs from other interneuron types. c,d, RCs exhibit a distinct impedance profile relative to neurogliaform and other human interneurons in layer 1. (c) Individual responses of anatomically identified rosehip (red), neurogliaform (blue), and other (black) interneurons to current injections with an exponential chirp (0.2–200 Hz; top). Traces were normalized to the amplitude of the rosehip response at 200 Hz. (d) Left: normalized impedance (Z) profiles of distinct groups of interneurons. RCs (n=5) had higher impedance in the range of 0.9–12.4 Hz compared to neurogliaform (n=5) and other (n=5) interneurons. Shaded regions represent s.d. Right: impedances were similar at the lowest frequency (Z0.2 Hz; left), but resonance magnitude (Q) calculated as maximal impedance value divided by the impedance at lowest frequency (middle) and frequencies of maximal impedance (fmax; right) showed significant differences (P < 0.05, ANOVA with Bonferroni post hoc correction). e, Automatized selection of recording periods for assessing subthreshold membrane potential oscillations (boxed segments) and detection of bursts (bars) for measuring intraburst spiking frequency demonstrated on an RC response to near-rheobasic stimulation showing stuttering firing behavior. f, Averaged fast fast Fourier transforms (FFTs) of membrane potential oscillations had higher power between 3.8 and 80 Hz in RCs compared to neurogliaform and other interneurons. g, Intraburst frequency of RCs peaked in the gamma range. AP, action potential.”

  13. “Some particles are dissolved in a glass of water. At first, the particles are all near one top corner of the glass. If the particles randomly move around (”diffuse”) in the water, they eventually become distributed randomly and uniformly from an area of high concentration to an area of low, and organized (diffusion continues, but with no net flux). By JrPol - Own work, CC BY 3.0, https://commons.wikimedia.org/w/index.php?curid=4586487”

  14. Note that the outside/inside concentration ratio < 1. The log of a number < 1 is negative.