Health of candidates
Dr. Jay Maron, physicist
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Head and eye stability

You can judge the health of a brain by observing the stability of the head and eyes. The more stable they are, the better you can think. If you watch a Shaolin monk you will see that their heads and eyes are always under control. What follows is a physics discussion of the geometry of the neck vertebrae, the brain, the ears, and the eyes, with the purpose of providing the tools required to assess mental health.


Atlas vertebra


Axis vertebra


Head motion

The atlas and axis vertebra move your head the same way an alt-azimuth mount moves a telescope.

Altazimuth telescope mount
Keck telescope altazimuth mount

Roll
Pitch
Yaw

Pitch is controlled by the Atlas-Skull joint. (Nodding your head "yes")
Yaw is controlled by the Axis-Atlas joint. (Shaking your head "no")
Roll is controlled collectively by all neck vertebrae.

Suboccipital muscles
Suboccipital muscles

The suboccipital muscles connect the skull, the atlas vertebra, and the axis vertebra.


Head balance

The atlas vertebra is at the center of the head and your eyes and ears are at the same level as the atlas vertebra.

The center of mass of the skull is slightly forward of the contact point between the skull and the atlas vertebra. If the muscles in your neck relax then your head pitches forward. If your back muscles relax then your torso pitches forward. The muscles in the back of your neck and spine act reflexively to prevent you from falling forward. This motion is coordinated with the breathing cycle.


Breathing cycle

Bruce Lee: When the opponent expands I contract, when he contracts I expand, and when there is an opportunity, I do not hit, it hits all by itself.

The thoracic diaphragm is underneath the lungs. When it contracts it creates overpressure in the gut, expands the ribcage, and creates underpressure in the lungs. The lung underpressure brings in air. Air is expelled from the lungs by contracting the rib intercostals.


Pelvic diaphragm

The pelvic diaphragm works in opposition to the thoracic diaphragm. When the thoracic diaphragm contracts the pelvic diaphragm expands and vice versa. This moves the gut cyclically up and down.


Muscle coordination

Breathing is coordinated with skeletal motion to minimize energy expense. For example, when you breathe in your head tends to pitch back and when you breathe out your head tends to pitch forward. It can be done the opposite way but it's less natural.

Every bilaterally symmetric motion is related to the breathing cycle according to the following table:

Inhale                     Exhale
Diaphram contracts         Diaphragm expands
Abdominals expand          Abdominals contract
Gut squashed by diaphram   Gut expands
External intercostals      Internal intercostals
Ribcage expands            Ribcage contracts
Pelvic floor expands       Pelvic floor contracts
Spine muscles contract     Spine muscles release
Arms out                   Arms in
Head pitches up            Head pitches down
Head rolls right           Head rolls left
Head yaws right            head yaws left
Arms rotate thumbs up      Arms rotate thumbs down
Elbows rotate out          Elbows rotate in
Open hand                  Form fist
Feet rotate outward        Feet rotate inward
Knees apart                Knees together
Lower back arches          Lower back sags
Hips rotate forward        Hips rotate back
Daydream                   Focus
Rebalance                  Exertion
High moment of inertia     Low moment of inertia
Discard angular momentum   Discard pressure
Tongue makes "U" shape     Tongue makes flat shape, such as for the letter "L"
Spread fingers into a fan  Bring fingers together like a fin

Rows correspond to opposite directions of a motion, and columns show how they synchronize with the breathing cycle.


Axis cycle

Bilaterally antisymmetric motions are coordinated through the axis vertebra. Motion naturally cycles between the left and right columns in the table below:

Head rotates left                   Head rotates right
Right hand rotates thumbs-up        Right hand rotates thumbs-down
Left hand rotates thumbs-down       Left hand rotates thumbs-up
Right foot rotates right            Right foot rotates left
Left foot rotates right             Left foot rotates left
Right arm rotates out               Right arm rotates in
Left arm rotates in                 Left arm rotates out
Jaw pivots right                    Jaw pivots left
Tongue pivots right                 Tongue pivots left
Eyes pivot right                    Eyes pivot left
Head rolls right                    Head rolls left
Shoulders rotate right              Shoulders rotate left
The axis cycle is structured to most naturally conserve angular momentum. For example, if your right arm rotates thumbs-down then conservation of angular momentum is satisfied if your left arm rotates thumbs-up.
Cycle properties
Cycle      Nexus            Head motion   Motion type                   Goal

Breathe    Atlas vertebra   Pitch         Bilaterally symmetric         Minimize energy expense
Axis       Axis vertebra    Yaw           Bilaterally antisymmetric     Minimize internal angular momentum

Roll-Yaw relationship

When you move your head, it is most natural to coordinate rightward roll with rightward yaw, and leftward roll with leftward yaw. It can be done the opposite way but it's less natural.

The reason roll and yaw are related this way is because the center of mass of your head is forward of the balance point between your spine and skull. If you start from an upright position, roll right, and then stop, then conservation of angular momentum causes your head to yaw right.


Pitch-Yaw relationship

The natural relationship between pitch and yaw is:
Upward pitch goes with righward yaw.
Downward pitch goes with leftward yaw.

Ideally, yaw should be minimized when the head pitches.

The prime balance foot is the right foot. If you stand on two feet your weight naturally shifts to the right foot. As your head moves to the right it yaws right (because the skull center of mass is forward of the spine). Moving to the right foot is also a descent in gravitational energy, which is countered by your head pitching back.


Spine

The spine consists of a set of curves that function as shock absorbers and as vertical motion for the head.

Cervial vertebrae
Cervical vertebrae
C7

Lumbar vertebrae


The ear

The timpanic membrane converts air pressure waves into mechanical motion of the ear bones. The ear bones amplify the signal and transmit it to the stapes bone, which is connected to the oval window of the cochlea. Vibrations in the oval window cause vibrations in the fluid of the cochlea, where they are converted into neural signals and interpreted in the brain.

If a sound wave in air encounters water then 1/30 of the sound energy is transmitted to the water and the rest reflects back into the air. If sound waves were transmitted directly from the air to the fluid of the cochlea then they would suffer this loss. The ear bones function to improve the transmission efficiency from the air to the fluid of the cochlea.

The tympanic membrane has 13 times the area of the oval window, and so the signal is amplified by a factor of around 13.

As pressure waves travel along the cochlea the cochlea narrows. The narrower the cochlea, the higher the frequency range it is sensitive to. Low frequencies are detected at the beginning of the cochlea and high frequencies are detected at the end.

If the sound level is too loud then the muscles of the middle ear shut down the motion of the ear bones. This is the "acoustic reflex" (Wikipedia).

The function of the ear bones was first explained by Helmholtz.


The cochlea

Seismometer

A microphone records sound pressure as a function of time and a seismometer records displacement as a function of time. Your ears don't work anything like this. Your ears function instead detect the frequency spectrum, analogous to a spectrum of light.

Cochlea
Cross-section of the cochlea showing the organ of Corti

There are 20000 hairs arranged along the length of the cochlea, each tuned to a different frequency. Each hair functions as a resonator.

High frequencies are detected at the start of the cochlea and low frequencies are detected

The perceived loudness depends on the duration of the note. For notes less than .2 seconds the loudness is proportional to duration and for notes more than .2 seconds the loudness is independent of duration. This suggests that the cochlea functions like a resonator, because it takes time for a resonance to activate.

If the duration of a note is much longer than 1 second then our attention fades and the note seems less loud.

Our ability to resolve frequency depends on the sharpness of the resonators in the cochlea. The brain provides active feedback to sharpen the resonance and suppress resonances at nearby frequencies.

If there are two sounds with different frequencies, then if the frequencies are too close to each other they will interfere with each other in the cochlea, and if they are far enough apart they can be sensed independently. The frequency width for interference is on the order of a perfect fifth.

Noise tend to obstruct our ability to resolve pitch.

Nerve signals travel both from the cochlea to the brain and from the brain to the cochlea. The brain provides active feedback to refine the function of the cochlea.

There are nerves that travel directly back and forth between your ears for stereo processing.

The semicircular canals of the cochlea are a gyroscope. Rotating your head causes fluid to flow in the canals, which is detected by hair cells. The function of the gyroscope and the function of the auditory system are connected.

The vestibule and the saccule are hardened objects used to detect linear acceleration. WHen you accelerate these objects are displaced, which is detected by hair cells.

Your ears are at the center of your skull, aligned with the pivot point that connects your skull to the top of your spine. The ear is involved in calculating balance.


Basilar membrane

The basilar membrane functions like a harp or piano. It is a strip running the length of the cochlea, narrow at the end closest to the ear and wide at the end farthest from the ear, like a necktie. It is also stiffer the closer it is to the narrow end. The resonant frequency at any particular point along the basilar membrane increases with stiffness and decreases with width, giving it a frequency range that varies from high to low as you traverse from the narrow to the wide end. Siffness is controlled with muscle tension.

The lower the frequency of the wave, the further it propagates along the basilar membrane. High-frequency waves diminish before they get to the wide end.

The fact that low frequencies propagate further along the basilar membrane is analogous to the fact that low-frequency pitches more easily pass through walls than high-frequency pitches. A low-frequency pitch has more time to move the wall for a given sound pressure.

Youtube: Basilar membrane

Helmholtz was the first to characterize the function of the basilar membrane


Absolute pitch

One out of every 10000 people has "absolute pitch", where for example you can tell if a pitch is higher, lower, or equal to 440 Hertz. Everone else has "relative pitch", where pitch ratios can be sensed but not absolute pitch. This suggests that there is no fixed place on the basilar membrane that corresponds to 440 Hertz.

If you don't have absolute pitch it is difficult to acquire it. From Wikipedia: "There are no reported cases of an adult obtaining absolute pitch ability through musical training; adults who possess relative pitch, but who do not already have absolute pitch, can learn pseudo-absolute pitch, and become able to identify notes in a way that superficially resembles absolute pitch. Moreover, training pseudo-absolute pitch requires considerable motivation, time, and effort, and learning is not retained without constant practice and reinforcement."


Frequency and time

The ear is sensitive to both pitch and time. Pitch is measured by position along the basilar membrane and time is measured by differences beween neural signals. For high-frequency pitches we are more sensitive to frequency and for low-frequency pitches we are more sensitive to time.


Pinna

Fennec fox

The pinna is the outer part of the ear that collects sound and helps in determing its directionality. All human pinna are unique in shape and if the shape were to change it would affect your ability to determine the direction of sound.

A large pinna can amplify sound by 10 to 15 decibels.


Haas effect for echos

Suppose a sound pulse arrives at your ear and an echo arrives a time T later. If T < 30 ms then you don't notice the echo and if T > 30 ms you notice the echo.

The distance a sound wave travels in a time of 30 ms is 10 meters. A concert hall has to be smaller than this to not sound like it has echos.

To do echolocation you have to train your ears to be sensitive to intervals less than 30 ms.

Bats use high frequencies for echolocation because they diffract less than low frequencies and hence give better resolution.


Ear training


Anguy   Keep your elbow high.  You want your back doing the hard labor.
        You're holding.  Never hold.
Arya    What?
Anguy   Your muscles tense up when you hold.  Pull the string back to the center
        of your chin and release.  Never hold.
Arya    But I have to aim.
Anguy   Never aim.
Arya    Never aim?
Anguy   Your eye knows where it wants the arrow to go.  Trust your eye.

Speed of sound

Bruce Lee: Experiments indicate that auditory cues, when occurring close to the athlete, are responded to more quickly than visual ones. Make use of auditory clues together with visual clues, if possible. Remember, however, the focus of attention on general movement produces faster action than focus on hearing or seeing the cue.

Bruce Lee: You hear the bird chirping? If you don't hear the bird you cannot hear your opponent.




               Meters/second
Neuron             100
Sound in air       343         At 20 Celsius
Sound in water    1482
Light        300000000


Time in milliseconds:

.000003  Time for light to cross a 10 meter orchestra
    .2   Electric synapse. These synapses are 2-way and they do not amplify signals
    .7   Time for water pressure wave to travel 1 meter through your body
   2     Chemical synapse. These synapses are 1-way and they can amplify signals
   1     Time for a neural signal to travel 10 cm, the size of a brain
  10     Time for a neural signal to travel from your fingers to your brain
   3     Time for sound to travel 1 meter, the distance to an adjacent musician
   7     Period of a 130 Hertz wave. This is the frequency of a viola C string
  30     Time for sound to travel across a 10 meter orchestra.
  62     Time between notes in "Flight of the Bumblebee"
For an orchestra to have good timing it must use visual cues. Sound isn't fast enough. This is especially true at the rear of the viola section amidst the cacophony of winds and brass.

The Europa Galante uses precise visual cues.

Pressure waves in your muscles deliver information 15 times faster than neurons.


Listen down

When listening to an orchestra one's attention most easily falls on the high-frequency instruments. Practice listening to the low-frequency instruments, especially the cellos and basses. They control the long-term temporal coherence.

Bruce Lee: You hear the bird chirping? If you don't hear the bird you cannot hear your opponent.

If you can't hear the violas you can't hear the chord. Practice listening to the middle note of the chord.

One should also practicing listening to instruments at minimal volume. Loud volume obstructs our ability to resolve pitch.


Listen to silence

The lower the sound intensity, the more sensitive we are to pitch. Practice listening to music at minimal volume.


Listen ahead

Anticipate the pitch in your mind before you play it. The cochlea has active feedback from the brain and this helps harness it.

Develop fast reactions to adjust the pitch to be in tune with the rest of the orchestra.


Frequency sensitivity of the human ear

Frequency   Wavelength
 (Hertz)     (meters)

   20        15        Lower limit of human frequency sensitivity
   41         8.3      Lowest-frequency string on a string bass or bass guitar
   65         2.52     Lowest-frequency string on a cello
  131         2.52     Lowest-frequency string on a viola
  440          .75     The A-string on a violin
  660          .75     The E-string on a violin (highest-frequency string)
20000          .016    Upper limit of human hearing

Eyes

Anatomy


Vestibular system

Semicircular canals
Semicircular canal


The semicircular canals are .8 mm in diameter.


Vestibulo-Ocular reflex


The eyes detect head movement from the vestibular system and use it to stabilize the image.


Eye Saccades


The eye moves in sudden jumps. It will be stable for an interval and then it will make a discontinuous jump before returning to stability. The jumps are called "saccades". Saccades are analogous to Earthquakes. When the eye is held stable tension builds up until a saccade occurs.

Youtube: Eye saccades in slow motion


Vision


Visual information crosses at the optic chiasm before being assembled at the rear of the brain.

The motor cortex is in front of the somatic cortex.


Optic chiasm

Information from the eyes crosses at the optic chiasm.



Brain


Brainstem
Corpus callosum

The corpus callosum connects the two brain hemispheres. It is tangibly larger and more plastic in musicians.

Endocrine glands
Pineal gland
Amygdala

Energy dissipation

Power at maximum exertion       = 1500 Watts
Power used by the body at rest  =  100 Watts
Power used by the brain         =   20 Watts

Motor cortex

Motor cortex
Motor cortex
Motor and somatic cortex


The motor cortex is in front of the somatic cortex.

Information from the eyes passes through the motor cortex before being assembled at the rear of the brain. The motor cortex is an image-stabilization system for the eyes. Visual input requires neural processing before it can be interpreted.

In the motor cortex, proceeding from the center to the edge of the brain corresponds to proceeding from the feet to the head of the body. It represents a stack of reference frames starting from the ground and proceeding upward.

Cerebrospinal fluid

Composition of the brain
Distribution of cerebrospinal fluid

The brain produces 500 mL of cerebrospinal fluid per day and at any given time there is 100-160 mL present.


Neurons

Cell membrane

Cell membranes assemble spontaneously from phospholipid molecules. They are mechanically flexibible due ot the ability of the phospholipids to rearrange themselves.

Cell membranes pass fat-soluble molecules and block water-soluble molecules. Proteins can move molecules across the membrane.


Ion pump

A membrane has ion channels that passively permit ion flow, and ion pumps that actively transport ions. Most ion channels are permeable only to specific types of ions. Ion channels can be modulated by either the membrane voltage or by chemicals.

The sodium-potassium pump generates a membrane voltage of around 70 mVolts, with the cell interior being negative.

In each cycle of the sodium-potassium pump, 3 sodium ions move outward and 2 potassium ions move inward. The pump requires hours to establish equilibrium. The pump is powered by ATP and the voltage gradient it produces provides a power source for other ion pumps.

In each cycle of the sodium-calcium pump, 3 sodium ions move inward and 1 calcium ion moves outward. This pump is powered by the membrane potential and doesn't require ATP.

An ion channel for a given ion does not pass larger ions, and most ion channels are specific for one ion. For example, most potassium channels are characterized by 1000:1 selectivity ratio for potassium over sodium, though potassium and sodium ions have the same charge and differ only slightly in radius. The pore is small enough so that ions must pass in single-file.

An action potential involves the opening and closing of ion channels and doesn't involve ion pumps. If the ion pumps are turned off by removing their energy source, or by adding an inhibitor such as ouabain, an axon can still fire hundreds of thousands of action potentials before the amplitudes begin to decay significantly.

The chloride ion is not actively pumped and takes on an equilibrium concentration given by the membrane potential.

Potassium channel protein with a potassium ion in the center


Resting potential
Skeletal muscle cells  = -95 mV
Smooth muscle cells    = -60 mV
Astroglia (Glia cells) = -85 mV +- 5 mV
Neurons                = -65 mV +- 5 mV
Red blood cells        =  -8 mV
Photoreceptor cells    = -40 mV

Neuron

Microscope image

Signals travel from the cell body outward along an axon, jump to the dendrite of another neuron at a synapse, then travel inward along the dendrite to the cell body of the new neuron.

A neuron has at most one axon but the axon can branch hundreds of times. A neuron can have multiple dendrites. There are, however, many exceptions to these rules: neurons that lack dendrites, neurons that have no axon, synapses that connect an axon to another axon or a dendrite to another dendrite, etc. In certain sensory neurons (pseudounipolar neurons), such as those for touch and warmth, the electrical impulse travels along an axon from the periphery to the cell body, and from the cell body to the spinal cord along another branch of the same axon.

The longest axons in the human body are those of the sciatic nerve, which run from the base of the spinal cord to the big toe of each foot. The diameter of axons is also variable. Most individual axons are microscopic in diameter (typically about one micrometer across)


Magnitudes
Brain neurons               = 100   billion
Brain neurons (cerebrum)    =  16.3 billion
Brain neurons (cerebellum)  =  69   billion
Brian glia cells            = 100   billion
Brain synapes               = 100   trillion
Neuron volume / Glia volume =   1.0

Neuron speed (with myelin)  = 100   m/s
Neuron speed (no myelin)    =   2   m/s
Axons for motor muscles     = 100   m/s            (16 um diameter)
Axons for sensory muscles   =  10   m/s            ( 8 um diameter)
Size of brain               =  15      cm       =  15000 neurons across
Distance between neurons    =  10      μm
Axon diameter (large)       =  20      μm
Axon diameter (small)       =   1      μm
Membrane thickness          =    .0075 μm
Chemical synapse gap        =    .020  μm
Electric synapse gap        =    .0035 μm
Node of Ranvier diameter    =   1.5    μm +- .5 μm
Node of Ranvier spacing     =1000      μm        (Distance between adjacent nodes)
Axon max size in humans     = 106      μm
Dendrite max size in humans =1000      μm
Electric synapse diameter   =    .0016 μm
Electric synapse length     =    .0075 μm

Neuron body ion channels    =   1      μm-2
Axon hillock ion channels   = 150      μm-2
Myelin ion channels         =  25      μm-2
Node of Ranvier ion channels=5000      μm-2   (Between 2000 and 12000 μm-2)

Brain neuron density        =    .0010 μm-3
Brain synapse density       =   1.0    μm-3

Chemical synapse time       =   2.0    ms
lectric synapse time       =    .2    ms
Sodium action potential     =   1      ms      (Duration)
Calcium action potential    = 100      ms      (Duration)
Sodium-Potassium pump time  = 107      ms      (Hours)  (Time to reach equilibrium)

Spines per dendrite         =1000
Sodium ratio                =   9        (Exterior concentration / interior concentration)
Potassium ratio             =  20        (Interior concentration / exterior concentration)
K+ current / Na+ current    =  20        (Current across membrane in resting state)

Typical membrane potential  =   -.07 Volts     (The cell interior is negative)
Sodium reversal potential   =   +.10 Volts
Potassium reversal potential=   -.90 Volts
Chloride reversal potential =   -.07 Volts     (Same as resting potential)
Membrane breakdown voltage  =    .2  Volts
Breakdown field (air)       =   3    Volts/μm
Breakdown field (membrane)  =  27    Volts/μm
Breakdown field (vacuum)    =  30    Volts/μm
Breakdown field (water)     =  68    Volts/μm
Membrane capacitance        =   2    uF/cm2

Max action potential rate   = 100    seconds-1

Axon diam. / Nerve diam.    =    .6        Nerve diameter corresponds to axon plus myelin sheath

Axons

1)  Unipolar neuron. Axon and dendrite emerging from same process.
2)  Bipolar neuron. Axon and dendrite on opposite ends.
3)  Multipolar neuron. One axon and many dendrites.
4)  Anaxonic. The axon can't be distingished from the dendrites.

Axons connect to the cell body through the axon hillock. The axon hillock is the last site in the cell where membrane potentials propagated from synaptic inputs are summated before being transmitted to the axon.


Action potential

If the voltage across the membrane exceeds the threshold, voltage-gated sodium ion channels open and sodium rushes into the cell, accelerating the voltage rise. When the voltage reaches its peak the sodium channels close and potassium channels open, restoring the potential to its resting state.

If the voltage change is too small to cross the threshold, the potassium current exceeds the sodium current and the voltage returns to its normal resting value.

After the action potential fires the axon enters a refractory state, which is responsible for the unidirectional propagation of action potentials along axons. At any given moment, the patch of axon behind the actively spiking part is refractory, but the patch in front, not having been activated recently, is capable of being stimulated by the depolarization from the action potential.


Myelin

A myelin coating increases the speed of signals. Myelinated axons are known as nerve fibers.

Signal propatation in myelinated axons is called "saltatory conduction", where the signal jumps rapidly from one node of Ranvier to the next.

In the central nervous system (CNS), myelin is produced by oligodendroglia cells. Schwann cells form myelin in the peripheral nervous system (PNS). Schwann cells can also make a thin covering for an axon which does not consist of myelin (in the PNS). A peripheral nerve fiber consists of an axon, myelin sheath, Schwann cells and its endoneurium. There are no endoneurium and Schwann cells in the central nervous system.

In myelinated axons, ionic currents are confined to the nodes of Ranvier and far fewer ions leak across the membrane than in unmyelinated axons, saving metabolic energy.

Myelin decreases capacitance and increases electrical resistance across the cell membrane.

Myelin permits large organisms to exist by enabling fast communication between distant body parts.

When a peripheral nerve fiber is severed, the myelin sheath provides a track along which regrowth can occur. However, the myelin layer does not ensure a perfect regeneration of the nerve fiber. Some regenerated nerve fibers do not find the correct muscle fibers, and some damaged motor neurons of the peripheral nervous system die without regrowth. Unmyelinated fibers and myelinated axons of the mammalian central nervous system do not regenerate.


Chemical synapse

When an axon signal reaches a synapse, calcium channels open and calcium flows into the cell. Vesicles, which store neutrotransmitters, then open and release neurotransmitters into the synaptic gap. The neurotransmitters diffuse across the synaptic gap and bind to the target cell, triggering an action potential in the target cell.

Synapses are usually located at the terminals of axons but they can also be located at junctions along the axon ("in passing" synapses). A single axon with all its branches can innervate multiple parts of the brain and generate thousands of synaptic terminals.

A chemical synapse can amplify signals and an electric synapse cannot.

                   Time    Spacing
                   (ms)     (nm)
Chemical synapse    2        30
Electric synapse     .2       3.5
Lipid vesicle
Neurotransmitters are stored in lipid vesicles.

Lipid vesicles


Electric synapse

Electric synapses are faster than chenical synapses but they can't amply signals like chemical synapses.

In an electric synapse, signals jump from the membrane of one cell to another through a connexon joint. A connexon joint is a tunable iris composed of 6 connexin proteins.

The response is always the same sign as the source. For example, depolarization of the pre-synaptic membrane always induces depolarization in the post-synaptic membrane, and vice versa for hyperpolarization.

The response in the postsynaptic neuron is in general smaller in amplitude than the source. The amount of attenuation of the signal is due to the membrane resistance of the presynaptic and postsynaptic neurons.

Because electrical synapses do not involve neurotransmitters, electrical neurotransmission is less flexible than chemical neurotransmission.

Long-term changes can be seen in electrical synapses. For example, changes in electrical synapses in the retina are seen during light and dark adaptations of the retina.


Glial cells

Oligodendrocyte
Astrocytes in blue

Astrocytes in blue
Astrocytes in blue

Astrocytes          Provide nutrients to neurons
Microglial cell     Cleanup
Oligodendrocyte     Add myelin to axons in the central nervous system
Schwann cell        Add myelin to axons in the peripheral nervous system

Gial cells perform functions such as:

Surround neurons and hold them in place
Supply nutrients and oxygen to neurons
Supply nutrients and oxygen to neurons
Destroy pathogens and remove dead neurons
Regulate the clearance of neurotransmitters from the synaptic cleft
Release gliotransmitters such as ATP, which modulate synaptic function.

Glial cells are known to be capable of mitosis whereas neurons usually are not.

In the brain "gray matter" is mostly neurons and "white matter" is mostly glial cells.

In the cerebral cortex the distribution of glia types is:

Oligodendrocytes   .756
Astrocytes         .173
Microglia          .065


                  Neurons   Glia
                  (109)     (109)
Cerebral cortex    16.3     60.8
Cerebellum         69.0     16.0

Heart


Nerve bundles


Computation

In a supercomputer the time to multiply two numbers is much shorter than the communication time with memory. Brains are the reverse. Signal speed is faster than computation. A neural signal travels 20 cm (all the way across the brain) during the time of one chemical synapse.

                CPUs   Flops   Devices         Cycles/second    Devices * Cycles/second

Brain            1      .1     1014 synapses       102                1016
Supercomputer   106    1016    106   CPUs          1010               1016
Flops = Floating point operations per second.

Human neurons are as small as physics will allow. If they were smaller then they would be close enough for signals to jump between them even without synapses.


Neurogenesis

Neurons do not undergo cell division. In most cases, neurons are generated by special types of stem cells. Astrocytes are star-shaped glial cells that have also been observed to turn into neurons by virtue of the stem cell characteristic pluripotency. In humans, neurogenesis largely ceases during adulthood; but in two brain areas, the hippocampus and olfactory bulb, there is strong evidence for generation of substantial numbers of new neurons.


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