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A bioactive glass is a glass designed to elicit a useful biological response at its interface, notably bonding with bone for some compositions and uses. It is a class of biomaterials, not a claim that every glass has the same response. Related glass-ceramics contain crystalline phases and should be distinguished from wholly glassy materials.

A motivating early experiment compared glass-ceramic solubility and interfacial hydroxyapatite crystallization with observations around implants in rat femurs. Larry L. Hench and colleagues examined histology and ultrastructure as well as laboratory interfacial changes. The question was how bonding developed at the material–bone interface, beyond the bulk material's mechanical strength.^[ref]

Contact with fluid can change the material's surface and release dissolved constituents. Geometry therefore matters alongside composition. For an original monodisperse spherical-powder model, radius $r$ and density $\rho$ give surface area per massAt stipulated $\rho =2500\mathrm{kg}{\mathrm{m}}^{-3}$ and $r=10\mu \mathrm{m}$, this is $120{\mathrm{m}}^2\mathrm{k}{\mathrm{g}}^{-1}$, or $0.12{\mathrm{m}}^2{\mathrm{g}}^{-1}$. Increasing radius to $100\mu \mathrm{m}$ reduces that area per mass tenfold. The example neglects pores and aggregation and is not a particular product's specification.

If initial release flux per unit area were equal in two such powders, their initial release rates per mass would differ by the same factor. Actual flux can change with solution composition and surface evolution; a biological response need not scale linearly with geometric area. Comparisons should therefore specify particle dimensions, exposed area, fluid conditions and time. Surface-layer formation, cytotoxicity, mechanical behavior and tissue bonding remain distinct observations rather than interchangeable proof of suitability.

A glass containing boron- and silicon-based network formers. Waste-glass durability depends on the full composition and contacting solution, not solely on the presence of these two elements.

B. P. McGrail coauthored measurements of dissolution kinetics in a sodium-calcium-aluminium borosilicate glass developed for waste immobilization. Flow-through experiments and blanks help separate material release from background signals and transport effects.

A measured dissolved concentration is therefore not automatically an intrinsic reaction rate: flow, solution chemistry, and surface area enter the interpretation.^[ref]

Dissolution releasing glass constituents in their bulk proportions. Element-normalised releases then coincide if precipitation, sorption and analytical losses do not selectively remove released constituents.

Formation of crystalline regions from an initially glassy material. Its effect on waste-form durability depends on the phases formed and the composition left in the residual glass.

A Dounce homogenizer mechanically disrupts cells with a fitted glass pestle moving inside a glass vessel. Relative motion drives fluid through the narrow clearance, generating deformation and shear stress in the sample. The device is commonly operated manually. ^[ref]

Different pestle clearances produce different flow and disruption. The resulting preparation depends on sample mechanics and the applied motion, so homogenization is a controlled physical treatment rather than simple mixing. Microscopy can test whether the desired cellular material was released and which structures remained intact.

A gigaohm seal is the high electrical resistance contact between the glass rim and cell membrane, also called a gigaseal. It suppresses a bypass route around the membrane patch; it does not make the membrane patch itself impermeable. The 1981 methods used pulled, coated and heat-polished pipettes, a chlorided silver electrode and a pressure connection. Clean glass and suction supported tight seals; coating reduced pipette-to-bath capacitance and recording noise, rather than being required for sealing.^[ref]

A glass is an amorphous solid whose structure lacks the long-range periodic order of a crystal. Window glass is a silicate-based example, but glass formation is not restricted to one chemical composition.

Cooling and relaxation history affect structure and residual stress. The glass transition concerns the slowing of molecular or atomic rearrangements, so it differs from the equilibrium melting of an ideal crystalline phase.

A hydrated, compositionally modified interfacial layer formed during glass corrosion. Its porosity, transport properties and continuing reactions can affect the residual alteration rate.

A glass fibre is a thin strand of glass used as a reinforcement. When embedded in a composite matrix, many glass fibres can carry axial tension while the surrounding material maintains their positions and transfers load between them. The reinforcement is effective only if the interface transmits the required shear stress; an unbonded fibre can slide without carrying the expected load.

Continuous aligned glass fibres reinforce one direction strongly, whereas short fibres with varied orientations distribute reinforcement over more directions.^[ref] Even if the glass itself is approximately isotropic, a composite material containing aligned glass fibres is generally anisotropic. Comparing specimens with equal fibre volume fraction but different orientations separates the effects of constituent quantity and arrangement.

A constituent participating in the connected glass network. silicon and boron can be network formers in borosilicate waste glass; local coordination depends on composition.

A constituent that changes network connectivity or charge balance. Alkali ions can be exchanged during aqueous glass alteration without initially releasing the entire silicate network.

Formation of compositionally distinct regions in a glass. A minor, less durable region can change release behaviour even when the bulk composition is unchanged.

Element release departing from bulk glass proportions. Selective ion exchange, retention in an alteration layer, sorption and secondary precipitation can all produce noncoincident normalised solution releases.

Can a specialized donor still supply information for other cell types? The 1962 The Developmental Capacity of Nuclei taken from Intestinal Epithelium Cells of Feeding Tadpoles by J. B. Gurdon used mid-intestinal cells of feeding Xenopus laevis tadpoles. Donors were recognized by columnar shape, basal cell nuclei and a striated absorptive border. Dissociation used Versene solution; this made individual donors accessible. The readout was subsequent development, including normal feeding tadpoles, rather than just division or survival. ^[ref]

Apparatus and intervention. A microscope with ultraviolet illumination directed light at the surface region containing the unfertilized ovum's chromosomes, inactivating the recipient nuclear contribution. Irradiation also softened the surrounding jelly so a glass micropipette could enter. The pipette delivered donor nuclear material into recipient cytoplasm. In the technique's validation, fertilizing irradiated eggs produced haploid embryos, supporting destruction of the maternal nuclear contribution. This is inactivation, not a diagram of surgically removing an intact cell nucleus. ^[ref]

Controls ask different questions. Donor cell nuclei carried a marker absent from recipients; post-blastula embryos carried that marker. The marker distinguished diploid donors with one nucleolus per cell nucleus from the usual two-nucleolus recipient background, rather than mistaking one nucleolus for proof of a haploid state. ^[ref] Interspersed transfers of blastula or later embryonic cell nuclei checked variable recipient quality. A positive embryonic-donor control thus tests the preparation, while the marker tests donor origin. Abnormal development remained common. Neither control establishes universal transfer competence. ^[ref]

Inference and limits. A successful marked donor demonstrates that specialization had not irreversibly removed all information required to build other cell types. Failure is less decisive: transfer damage, recipient condition and incomplete cellular reprogramming can also prevent development. The marker identifies nuclear origin; it is not a complete DNA sequence comparison. The experiment tests donor nuclear potential in an altered cytoplasm, rather than normal donor cell fate, a universal capacity of every donor, or development from a mature mammalian red blood cell. The Nobel account also describes serial transfers through embryonic intermediates; these must not be silently combined with direct transfers into one success rate. ^[ref]

In 1918, Irving Langmuir measured adsorption using freshly split mica strips, handled at their edges, separated by iron spacers and held with brass fasteners. A glass bulb contained the bundle; a similar blank contained matching iron and brass but no mica. Evacuated glass connections, Mercury seals, liquid air traps, and McLeod gauges provided controlled gas handling. Calibrated compartment volumes and pressure readings before and after expansion gave free-gas amounts; their deficit indicated uptake. Lowering pressure and measuring released gas tested desorption.^[ref]

Hydrogen blank runs calibrated cooling-related pressure differences. Irving Langmuir pre-cooled the bulbs to reduce thermal delay; he suggested slow diffusion between strips could control the remaining approach to equilibrium. Critically, blank uptake was not subtracted: he estimated the mica-bulb results were 10–30% too high. Liquid air temperature drift was unrecorded. These limits constrain inference of intrinsic binding from the uptake curve. The paper's pressure unit called “bar” was $1\mathrm{dyn}\mathrm{c}{\mathrm{m}}^{-2}=0.1\mathrm{Pa}$, unlike the modern bar used above.^[ref]

Laser pulse energy is the radiant energy carried by one specified laser pulse across a measurement plane. For an isolated pulse whose total radiant power is $P(t)\ge 0$ and whose background is zero,Here $P$ is already integrated over the transverse beam area; it is not local irradiance. The unit of $U$ is the joule. Radiant exposure instead divides received energy by a receiving area, so a beam's $U$ alone does not specify the exposure at its centre. The radiant exposure of a Gaussian beam makes that spatial distinction quantitative.

The Gaussian pulse energy and peak power relation gives $P_{\mathrm{pk}}\simeq 0.939437U/\tau$ when $\tau$ is the power full width at half maximum. The pulse energy shape factor records pulse-shape dependence, while the Gaussian pulse field-envelope width is $\sqrt{2}$ times the power width.

For an original example, stipulate $U=0.50\mu \mathrm{J}$ and a Gaussian pulse power full width at half maximum $\tau =10\mathrm{ns}$. Then $P_{\mathrm{pk}}=46.97\mathrm{W}$. Stretching the same model pulse to $40\mathrm{ns}$ while keeping $U$ unchanged reduces its peak power to $11.74\mathrm{W}$. Both curves below integrate to the same energy; their peak heights and widths differ.

A finite detection time gate collects the Gaussian pulse time-gate energy fraction, which depends on its width and alignment. A centred gate as wide as the power full width at half maximum receives only $76.10\%$ of $U$, because Gaussian tails extend beyond it. For a $\tau$-wide gate, a Gaussian gate centring error of $\tau /2$ reduces capture to $49.07\%$.

The average power of a laser pulse train follows by counting complete pulses. If a long observation of duration $T$ contains $N$ pulses of energies $U_1,\dots ,U_N$, with negligible edge contributions and no continuous background,Here $f_{\mathrm{rep}}$ is the pulse repetition frequency, not the inverse pulse width. An average power readout constrains $\overline{U}$ when $f_{\mathrm{rep}}$ is known; it does not resolve pulse-to-pulse energy fluctuation. Identical, well-separated $0.50\mu \mathrm{J}$ pulses at $1.0\mathrm{MHz}$ give $0.50\mathrm{W}$ average power, even though the stipulated $10\mathrm{ns}$ pulses peak near $47\mathrm{W}$.

If a steady optical background is present, state whether the reported energy includes it. For pulse energy above a measured background $P_{\mathrm{bg}}$, the pulse energy baseline correction uses ${\int }_{\mathrm{gate}}[P(t)-P_{\mathrm{bg}}]dt$. Failing to subtract a constant background adds $P_{\mathrm{bg}}{T}_g$ to the inferred energy. This optical-background model is distinct from an offset introduced later by detector electronics.

Historical NIST equipment illustrates what the readouts measure. Its TC-24 reference absorbed the beam in a glass plate, sensed a plate temperature difference with thermocouples, and integrated the thermopile's electric potential difference during beam injection. Before/after readings enabled background subtraction and compensated thermal drift. Counting pulses converted total injected energy to mean pulse energy. The semiconductor pulse photodetector used an integrating amplifier; calibration related the peak output electric potential difference to pulse energy. That electrical peak did not by itself establish optical peak power.^[ref] Pulse energy measurement with a photodiode connects this kind of measurement to collected electric charge; validating the detector response under the actual pulse conditions remains part of that interpretation.

A neuron is a specialized biological cell that receives, integrates and transmits signals. Its shape separates places where inputs arrive from places where outputs reach other biological cells: this functional asymmetry is neuronal polarity. Understanding a neuron therefore means connecting its anatomy to changes in membrane potential, rather than treating it as a wire that merely forwards every input.

In a common multipolar neuron, branching dendrites receive inputs at synapses; the soma contains the cell nucleus and most major organelles; the axon carries signals to distant or nearby targets; and axon terminals form output contacts. All these regions belong to one biological cell enclosed by a continuous cell membrane. An axon can branch, allowing one neuron to influence several receiving biological cells.^[ref]

At an input chemical synapse, a neurotransmitter acts on a receptor, changing an electric current directly or through signal transduction.^[ref] A resulting synaptic potential contributes to synaptic integration in the dendrites and soma. In many spiking neurons, sufficiently strong depolarization recruits voltage-gated ion channels in the axon initial segment, initiating an action potential that propagates along the axon. At an output chemical synapse, calcium entry through voltage-gated ion channels promotes synaptic vesicle exocytosis, releasing neurotransmitter. An action potential is thus regenerated electrically along a cell membrane; it is not a packet of neurotransmitter travelling from the dendrites to the axon terminals.^[ref]

The compartments are specializations, not exclusive jobs. Inputs can contact the soma or axon as well as dendrites; dendrites can support active voltage-gated ion channels. Paired recordings from a pyramidal neuron's soma and dendrite or axon established that an action potential can begin in the axon and propagate back into the dendrites. The usual output direction therefore does not make every electrical signal strictly one-way.^[ref] An electrical synapse, which directly couples cytoplasms through gap junctions, also differs from the sending-and-receiving arrangement of a chemical synapse.^[ref]

Nor does every neuron have the upper diagram's shape. A bipolar neuron has two main processes, one dendrite and one axon; a multipolar neuron has several dendrites; and a pseudounipolar neuron has a single process from the soma that divides into peripheral and central branches. In the last arrangement, sensory signals can travel past the soma rather than obligatorily through it. These shape categories do not specify every neuron's receptor, connectivity or firing behavior.^[ref] Some neurons in the retina communicate through graded changes in membrane potential without generating action potentials.^[ref]

Why timing changes the computation. Synaptic integration can combine inputs at different locations, called spatial summation, and inputs arriving at different times, called temporal summation. A minimal example uses the leaky integrate-and-fire model with the illustrative parameters already given there: resting and reset membrane potential $-65\mathrm{mV}$, firing threshold $-50\mathrm{mV}$, electrical resistance $R=100\mathrm{M\Omega }$, capacitance $C=200\mathrm{pF}$, time constant $\tau =RC=20\mathrm{ms}$ and neuronal refractory period $2\mathrm{ms}$. These are chosen model values, not measured properties of a particular neuron. Before firing, a constant inward electric current $I$ starting from rest givesThe exponential function expresses the competition between charging the cell membrane's capacitance and leakage through its electrical resistance.^[ref]

Two $100\mathrm{pA}$ inputs, each lasting $40\mathrm{ms}$, produce different outputs depending on their timing. Either input alone reaches only $-56.3534\mathrm{mV}$. Applied together, they give $I=200\mathrm{pA}$ and reach threshold after $20\ln 4\mathrm{ms}\approx 27.7259\mathrm{ms}$, producing one action potential event during the pulse. If instead the second input begins $20\mathrm{ms}$ after the first ends, the earlier depolarization has partly decayed: the second pulse peaks at approximately $-55.9229\mathrm{mV}$ and neither pulse produces an action potential. The two-input protocols deliver the same total electric charge, $8\mathrm{pC}$, yet only the coincident protocol fires. Counting total input alone misses this timing dependence.

This example makes a neuron a detector of sufficiently clustered input, not a perfect logical gate: different parameters change the result. Actual dendrites introduce location-dependent filtering and active responses, and an inhibitory postsynaptic potential or shunting inhibition can change whether another input succeeds. The single-compartment leaky integrate-and-fire model omits these mechanisms.^[ref] Across connected neurons, branching axons distribute outputs while converging synapses combine inputs; spike trains can support temporal coding and rate coding, and synaptic plasticity changes the influence of an input. Connectivity and cellular dynamics together determine the computation.^[ref][ref]

Testing the connection between structure and function. Whole-cell recording connects anatomy to a measured membrane potential. In a published mouse protocol, a two-photon microscope guides solution-filled glass pipettes to neurons; an amplifier and bath reference electrode complete the electrical recording apparatus. A high-resistance seal forms against the cell membrane, then brief suction opens the membrane patch beneath the tip. In current clamp, the amplifier supplies a chosen electric current and records the resulting membrane potential, unlike voltage clamp, which controls voltage and measures electric current. The investigators used $500\mathrm{ms}$ current steps of several amplitudes to characterize excitability and firing, and negative current pulses to estimate input electrical resistance.^[ref]

The observable is a voltage trace, including graded responses and action potentials. Comparing injected electric current with that trace tests how input becomes output; it does not identify every underlying ion channel. The protocol checks access electrical resistance, which can distort voltage and action potential measurements, and includes intervals without stimulation to record spontaneous activity. In a teaching replication, repeated zero-input trials and monitoring baseline drift would provide further controls; these are recommended comparisons, not additional results attributed to the paper. A recording at the soma also cannot establish the local voltage everywhere in a branching dendrite, and this anesthetized preparation does not establish behavior in every awake neuron.^[ref]

A complementary experiment used simultaneous whole-cell recordings from the soma and an apical dendrite or axon of the same pyramidal neuron in a brain slice. The relative onset times of action potentials, together with sodium currents in excised dendrite membrane patches, supported axonal initiation followed by active propagation into dendrites. Pairing sites within one neuron is a useful comparison because it avoids confusing differences between cells with differences between compartments. Instrument timing and comparable recording quality would be essential controls when reproducing the inference. Only the published abstract was accessible here, so no unverified timing values, drug controls or channel distributions are supplied.^[ref]

The solution-released mass of an element divided by its initial glass mass fraction and the exposed glass area: $N{L}_e=m_e/(f_{e}S)$. It has units of glass-equivalent mass per area; it does not alone establish congruent dissolution.

Immobilisation of radioactive waste in a glass matrix. glass composition, durability, secondary phases and the complete package affect performance.