Abstract
Sensation, which the Medical Subject Headings classify under psychophysiology, is the process by which specialized receptors transduce physical energy from the world and the body into the neural signals on which all perception is built. It is the entry point of experience: light, sound, pressure, chemical molecules, and heat are each converted into a common electrical currency and relayed to the brain. This article defines sensation and separates it from perception, surveys its principal modalities, and sets out the quantitative science of psychophysics that relates the magnitude of a stimulus to the magnitude of the sensation it produces, from Weber's law through Fechner's and Stevens' competing laws to signal detection theory. It then examines sensory transduction and adaptation, the integration of information across the senses, and the open questions that keep the field active, with three interactive demonstrations.
Keywords: sensation, psychophysics, transduction
Sensation is the first stage of the chain that turns physical events into knowledge of the world. A sensory receptor absorbs some form of physical energy, a photon striking a cone, a sound wave bending a hair cell, a force deforming a skin ending, and converts it into a change in electrical activity that the nervous system can carry and read (Gescheider, 1997). Everything the mind later does with that information, recognizing a face, locating a voice, judging a weight, depends on this initial translation. Because the translation is lawful, the relationship between the physical stimulus and the reported sensation can be measured with precision, and the systematic study of that relationship, psychophysics, is among the oldest quantitative enterprises in psychology (Fechner, 1966).
- Sensation is the transduction of physical energy into neural signals by specialized receptors; perception is the brain's subsequent organization and interpretation of those signals.
- The senses are distinguished by the form of energy each transduces, and each is served by dedicated receptors, pathways, and cortical areas.
- Weber's law states that the just-noticeable difference is a constant proportion of the baseline stimulus; Fechner's logarithmic law and Stevens' power law are two competing accounts of how sensation grows with intensity.
- Signal detection theory separates a sensory sensitivity from a decision criterion, showing that a detection judgment is a decision made under uncertainty, not a passive reading of a threshold.
- The brain does not treat the senses in isolation: it combines information across modalities, weighting each by its reliability in a statistically near-optimal way.
What Sensation Is
Sensation is the process by which the body's sensory systems detect and encode physical stimuli. Its defining act is transduction: the conversion of one form of energy, light, mechanical force, chemical concentration, thermal energy, into the electrochemical signals that neurons use. A sensory receptor is a cell specialized to perform this conversion for a particular kind of energy, and the set of receptors tuned to a given form of energy, together with their pathways to the brain, constitutes a sensory modality (Gescheider, 1997). Because every modality reduces its stimulus to the same neural currency of graded potentials and spikes, the brain can compare and combine signals that began as utterly different physical events.
Figure 1
Transduction: Different Physical Energies Converge on a Common Neural Code
Sensation must be distinguished from perception, with which it is often paired and sometimes confused. Sensation is the detection and encoding of a stimulus; perception is the organization, interpretation, and conscious experience the brain constructs from that encoded input. The distinction is not merely terminological. The same sensory input can yield different percepts depending on context, attention, and prior experience, and a percept can be assembled from inputs across several modalities at once. Sensation supplies the data; perception makes them meaningful (Kingdom & Prins, 2016). The boundary is not always sharp, and much of the interest in the field lies in the transition from the one to the other, but the division of labour is real: damage to a receptor changes what can be sensed, whereas damage to higher areas changes what can be made of what is sensed.
A second organizing idea is the threshold. Not every stimulus produces a sensation; a stimulus must reach some minimal intensity, the absolute threshold, before it is detected, and two stimuli must differ by some minimal amount, the difference threshold, before they are told apart (Gescheider, 1997). Thresholds are not fixed points but statistical quantities, defined as the intensity detected on some agreed proportion of trials, and their measurement is the classical business of psychophysics, treated in detail below and in the companion article on sensory thresholds.
Types of Sensation
The Medical Subject Headings file sensation, the parent term, above a set of narrower descriptors, one for each broad class of what can be sensed. The grouping is an indexing convenience rather than a strict theory of the senses: the categories are not perfectly parallel, some overlap, and pleasure in particular is an affective quality rather than a sensory modality in the ordinary sense. Still, the tree captures the main divisions usefully, and the live articles among its children are linked below. Each rests on its own receptors and pathways, yet all share the defining act of transduction described above.
| Modality | Stimulus transduced | In brief |
|---|---|---|
| Hearing | Airborne pressure waves | The sense by which sound is detected, as cochlear hair cells transduce vibration into neural signals. |
| Ocular Vision | Light (electromagnetic radiation) | The sense of sight afforded by the eye, in which photoreceptors transduce light into vision. |
| Proprioception | Muscle, tendon, and joint mechanics | The sense of the position and movement of one's own body, from receptors in muscles and joints. |
| Thermosensing | Thermal energy (temperature) | The detection of temperature and its changes by thermally gated receptors in the skin. |
| Pleasure | Rewarding events (affective quality) | The positive hedonic feeling that accompanies rewarding stimuli, filed by MeSH among the sensations. |
The tree carries further children that do not yet have articles here, including pain, smell, taste, touch, and gravity sensing. Two cautions apply to any such taxonomy. First, the categories are not fully orthogonal: touch, temperature, and pain are carried together in the skin and are often grouped as the somatosenses, and taste and smell jointly produce the experience of flavour. Second, a MeSH tree is a classification built for indexing the biomedical literature, not a settled scientific ontology of the senses, so the number and boundaries of the modalities it lists should be read as a practical scheme rather than a claim about how many senses there are.
Weber’s Law: the Just-Noticeable Difference
The smallest weight change you can feel is a fixed fraction of the weight already in your hand, not a fixed number of grams. Raise the baseline and the just-noticeable difference grows in step; the ratio stays put.
Psychophysics and the Sensory Laws
Psychophysics is the quantitative study of the relationship between physical stimuli and the sensations they evoke, and it is the intellectual core of the study of sensation (Fechner, 1966). Its first great empirical result is Weber's law. Ernst Heinrich Weber found that the smallest detectable change in a stimulus, the just-noticeable difference or difference threshold, is not a fixed amount but a constant fraction of the baseline stimulus. Lifting weights, one can tell 100 grams from 102 grams about as reliably as 200 grams from 204 grams: the increment needed scales with the starting value. Formally, the difference threshold divided by the baseline intensity is a constant, the Weber fraction, characteristic of each modality (Gescheider, 1997). The law holds well across a wide middle range of intensities and breaks down near the absolute threshold and at extreme intensities, but its central claim, that sensitivity is relative to the prevailing level, is one of the most robust generalizations in all of psychology, and its neural basis is still being worked out (Pardo-Vázquez et al., 2019).
Gustav Fechner took Weber's law as a foundation and asked a bolder question: how does the magnitude of the sensation itself grow with stimulus intensity? Treating each just-noticeable difference as a unit of sensation and summing them, he derived that sensation magnitude grows as the logarithm of stimulus intensity, so that equal ratios of intensity produce equal increments of sensation. This is Fechner's law, and with it Fechner claimed to have measured the mind, relating an inner quantity to an outer one by an equation (Fechner, 1966). Fechner's law captures a genuine feature of many senses, their compression of an enormous physical range into a manageable perceptual one, and it dominated psychophysics for most of a century.
It did not go unchallenged. S. S. Stevens argued that Fechner's derivation smuggled in an unwarranted assumption, that every just-noticeable difference is subjectively equal, and that direct measurement told a different story. Asking observers to assign numbers in proportion to the perceived magnitude of a stimulus, a method he called magnitude estimation, Stevens found that sensation grows not as the logarithm of intensity but as a power function of it: sensation equals a constant times intensity raised to an exponent characteristic of the modality (Stevens, 1957). The exponent is what matters. For brightness it is well below one, so sensation is compressed, much as Fechner's law implied; for apparent line length it is near one, so sensation tracks intensity almost directly; and for electric shock it is far above one, so a small increase in current produces a large increase in felt intensity. Stevens pressed the case that this single power law, with its modality-specific exponent, described the data better than Fechner's logarithm and should replace it (Stevens, 1961). The measured exponents proved orderly and repeatable across laboratories and methods, strengthening the power law as an empirical description even as debate continued over what it means (Teghtsoonian, 1971).
Two Laws of Sensation: Logarithm vs Power
Fechner’s law says sensation grows as the logarithm of intensity; Stevens’ law says it grows as a power of intensity, with an exponent that differs by sense. Switch the modality and watch the power curve bend below, along, or far above the logarithm.
Signal Detection: Sensitivity and Criterion
The classical idea of a threshold treats detection as a fixed boundary: below it the observer senses nothing, above it they sense the stimulus. Signal detection theory replaced this picture with a more accurate one in which detection is a decision made under uncertainty (Green & Swets, 1966). The sensory system is always noisy, so even in the absence of a stimulus there is some fluctuating internal activity, and a weak stimulus adds to that activity without lifting it cleanly above the noise. On any trial the observer must decide whether the internal signal is strong enough to have been caused by a real stimulus, and that decision depends on two logically separate quantities.
The first is sensitivity, written d prime, the distance between the internal activity produced by noise alone and that produced by signal plus noise, measured in units of the noise's variability. A larger d prime means the two distributions overlap less and the stimulus is easier to tell from noise; it is a property of the sensory system and the stimulus. The second is the criterion, the level of internal activity above which the observer chooses to respond that a signal was present. The criterion is not fixed by the senses but set by the observer, and it shifts with the payoffs and the expected frequency of signals: a cautious observer who says yes only when very sure will miss faint signals but rarely raise a false alarm, while a liberal observer shows the reverse (Green & Swets, 1966). By estimating hits and false alarms separately, signal detection theory disentangles how well the observer can sense from how willing they are to say yes, a separation the single threshold could never make, and it remains the standard framework for analysing detection and discrimination data (Kingdom & Prins, 2016). It also reframes the observer as a decision-maker whose performance can be optimal or, as often, systematically suboptimal (Rahnev & Denison, 2018).
Signal Detection: Sensitivity vs Criterion
Detection is a decision under noise. Sensitivity (d′) is how far the signal pushes the evidence above the noise; the criterion (c) is how much evidence the observer demands before saying “yes.” The two set the hit and false-alarm rates independently.
Transduction, Receptors, and Adaptation
Every sensation begins with a receptor converting a physical stimulus into an electrical signal, and the molecular machinery of that conversion is specific to each modality. Photoreceptors use a light-sensitive pigment that changes shape when it absorbs a photon; chemoreceptors of taste and smell bind molecules to specialized proteins; and mechanoreceptors respond to physical force. For decades the molecules that let a cell feel force were unknown, until the identification of the PIEZO family of mechanically activated ion channels, which open in direct response to membrane tension and underlie the sense of touch and the body's sensing of its own movement (Kefauver et al., 2020). Their discovery filled a long-standing gap, showing how mechanical energy is transduced into the neural signal that begins a tactile or proprioceptive sensation.
Sensory systems do not report absolute intensities so much as changes and contrasts, and the clearest expression of this is adaptation: when a stimulus is held constant, the response to it declines. A hand lowered into warm water soon stops feeling warm; a steady smell fades; clothing ceases to be felt moments after it is put on. Adaptation is not fatigue but a useful recalibration that keeps the system sensitive to change, shifting its limited response range to centre on the prevailing level of stimulation (Gescheider, 1997). It is the dynamic counterpart of Weber's law: both express the principle that the senses are built to detect differences and departures from a baseline rather than to measure the world on an absolute scale. This emphasis on change is why a constant background is quickly discounted while a sudden onset or offset is salient.
Integrating the Senses
The senses are usually described one at a time, but the brain rarely uses them that way. Most events in the world stimulate several modalities at once, and the nervous system combines these streams into a single coherent estimate. At the level of single neurons, cells in structures such as the superior colliculus receive converging inputs from vision, hearing, and touch, and their responses to a combined stimulus can far exceed the sum of the responses to each alone, an enhancement governed by orderly spatial and temporal rules (Stein & Stanford, 2008). Multisensory integration is thus a basic operation of the brain, not a late embellishment.
At the behavioural level, integration is not merely additive but statistically principled. When vision and touch both report the size of an object, observers combine the two estimates by weighting each according to its reliability, giving more influence to the less variable sense, in a manner that closely matches the maximum-likelihood optimum a statistician would prescribe (Ernst & Banks, 2002). This reliability-weighted combination reduces the uncertainty of the final estimate below what either sense could achieve alone. A harder problem is deciding whether two signals belong together at all, since inputs from different senses should be fused only if they share a common cause; the brain appears to solve this by a form of Bayesian causal inference, inferring the probability that the signals arose from one event and blending or segregating them accordingly (Rohe & Noppeney, 2015). Sensation, on this view, is not a set of parallel private channels but the raw material for a unified probabilistic model of the world.
Worked Example
The three psychophysical laws can be made concrete with a single running example, and their differences become vivid when the same physical change is run through each. Begin with Weber's law. The Weber fraction for lifted weights is about 0.02, meaning the just-noticeable difference is two percent of the baseline. For a 50 gram reference the difference threshold is 0.02 × 50 = 1.0 gram; for 250 grams it is 0.02 × 250 = 5.0 grams; for 500 grams it is 0.02 × 500 = 10.0 grams. The absolute increment grows tenfold across this range, yet the fraction is fixed: this constancy of the ratio is the whole content of Weber's law, and it is what the `WeberFractionDemo` above varies directly.
Fechner's law follows from summing these equal-ratio steps. Because each doubling of intensity spans the same number of just-noticeable differences, sensation on Fechner's account grows as the logarithm of intensity, and every doubling of the stimulus adds the same fixed increment to the sensation. Measuring in base-ten logarithms, a stimulus ten times the threshold sits at a sensation value proportional to log10(10) = 1; a hundred times threshold at log10(100) = 2; a thousand times at log10(1000) = 3. A thousandfold physical range is compressed into a threefold perceptual one, which is exactly the kind of compression the eye achieves across the enormous range of natural light levels.
Stevens' law makes a sharply different prediction for the same physical doublings, and this is where it and Fechner's law part company. Under the power law, doubling the intensity multiplies the sensation by 2 raised to the modality's exponent. For brightness, with an exponent near 0.33, doubling the luminance multiplies apparent brightness by only 2^0.33 ≈ 1.26, a barely noticeable brightening. For apparent line length, exponent near 1.0, doubling the length doubles the apparent length, 2^1.0 = 2.00, so perception tracks the world almost exactly. For electric shock, exponent about 3.5, doubling the current multiplies the felt intensity by 2^3.5 ≈ 11.3, a violent increase. One physical operation, a doubling, produces perceptual changes ranging from negligible to overwhelming depending only on the exponent, and this single fact is Stevens' strongest argument that a modality-specific power law, not one universal logarithm, describes how sensation grows (Stevens, 1957; Teghtsoonian, 1971). The `PsychophysicalLawsDemo` plots the logarithmic and power curves together so the divergence can be seen directly.
Discussion
Sensation is where the physical world enters the mind, and the study of it has a rare quantitative maturity because that entry point is lawful. Weber's law, Fechner's law, Stevens' law, and signal detection theory are not competing slogans but successive refinements of a single question, how the magnitude and detectability of a sensation depend on the stimulus, each correcting a limitation of the last. Weber established that sensitivity is relative; Fechner turned that relativity into a scale of sensation; Stevens showed that the scale is a power function whose exponent varies by modality; and signal detection theory dissolved the notion of a fixed threshold into the more accurate account of a noisy signal judged against a movable criterion (Green & Swets, 1966; Stevens, 1961). The progression is a model of how a psychological question can be sharpened by measurement.
Two themes recur across the whole field. The first is that the senses are built to detect change and contrast rather than to measure absolute quantities, a principle visible in Weber's law, in adaptation, and in the relative character of every psychophysical scale. The second is that sensation is never the end of the story: the encoded signals are combined across modalities and interpreted in light of their reliability, so that even the earliest stages of processing already reflect a statistical logic that treats the brain as an estimator of a hidden world (Ernst & Banks, 2002; Stein & Stanford, 2008). The clean separation of sensation from perception, useful as it is, should therefore be held lightly: the two are the ends of a continuum along which physical energy is progressively transformed into knowledge.
Current Directions
The most active basic questions concern the neural and computational origins of laws that were first stated behaviourally. Weber's law, described in the 1830s, has only recently been given a mechanistic account: work in behaving animals shows how the timing of neural responses in decision circuits can generate the constant-ratio relationship directly, connecting a classical psychophysical law to the dynamics of the neurons that implement it (Pardo-Vázquez et al., 2019). In parallel, the molecular basis of mechanical sensation has been transformed by the identification and structural study of the PIEZO channels, which is now clarifying how force is converted to signal at the level of a single protein and how that conversion shapes touch and proprioception (Kefauver et al., 2020).
A second front reconsiders the observer as a decision-maker. Where signal detection theory once modelled detection as an ideal weighing of evidence, a large body of recent work documents that human perceptual decisions are systematically suboptimal in specifiable ways, and argues that characterizing these departures is more informative than assuming optimality (Rahnev & Denison, 2018). The multisensory literature is pursuing the complementary question of how the brain decides what to integrate, formalizing perception as Bayesian causal inference over whether signals share a common cause (Rohe & Noppeney, 2015). Across these threads the guiding move is the same: to treat a long-known regularity of sensation as something to be derived from more basic neural and probabilistic principles rather than merely described.
Commonly Confused With
- Perception
- Sensation is transduction, the point at which physical energy becomes a neural signal; perception is the interpretation the brain builds from that signal. To tell which is which, ask whether the fact in question is about the raw input or about the construal: the retinal image of a door swinging open is a smoothly changing trapezoid, which is sensation, whereas the experience of a rigid rectangular door rotating in depth is perception. Where the two diverge is exactly where illusions live, so a phenomenon that survives full knowledge of the stimulus is perceptual, not sensory.
Common Misconceptions
- Sensation and perception are the same thing.
- Sensation is the transduction and encoding of a physical stimulus by receptors; perception is the brain's organization and interpretation of that encoded input. The same sensory signal can yield different percepts depending on context and attention (Kingdom & Prins, 2016).
- A sensory threshold is a fixed cut-off below which nothing is detected.
- Detection is a decision made against a background of neural noise, not a hard boundary. Signal detection theory shows that whether an observer reports a faint stimulus depends on a movable decision criterion as well as on sensory sensitivity (Green & Swets, 1966).
- The just-noticeable difference is a constant amount for a given sense.
- By Weber's law the just-noticeable difference is a constant proportion of the baseline stimulus, not a constant amount: the increment needed to notice a change grows as the baseline grows (Gescheider, 1997).
- Humans have exactly five senses.
- The familiar five leave out proprioception, the sense of body position, along with balance, temperature, pain, and the internal senses. The number of modalities depends on how they are individuated, and a MeSH tree is an indexing scheme, not a fixed count (Kefauver et al., 2020).
Glossary
- Absolute threshold.
- The minimum intensity of a stimulus that can be detected on some agreed proportion of trials, conventionally half.
- Adaptation.
- The decline in a sensory system's response to a constant stimulus over time, a recalibration that keeps the system sensitive to change rather than a sign of fatigue.
- Criterion.
- In signal detection theory, the level of internal activity above which an observer chooses to report that a signal is present; set by the observer, not the senses, and sensitive to payoffs and expectations.
- Difference threshold.
- The smallest difference between two stimuli that can be reliably detected; also called the just-noticeable difference.
- Fechner's law.
- The proposal that sensation magnitude grows as the logarithm of stimulus intensity, so that equal ratios of intensity produce equal increments of sensation.
- Magnitude estimation.
- A psychophysical method in which observers assign numbers in direct proportion to the perceived magnitude of a stimulus; the basis of Stevens' power law.
- Mechanotransduction.
- The conversion of a mechanical force into a neural signal, carried out at the molecular level by mechanically activated ion channels such as the PIEZO proteins.
- Multisensory integration.
- The brain's combination of information from two or more senses into a single estimate, often weighted by the reliability of each sense.
- Perception.
- The organization, interpretation, and conscious experience the brain constructs from sensory input; distinguished from sensation, which supplies the input.
- Psychophysics.
- The quantitative study of the relationship between physical stimuli and the sensations they evoke, founded by Fechner.
- Sensation.
- The process by which sensory receptors detect physical stimuli and transduce them into the neural signals on which perception is built.
- Sensory receptor.
- A cell specialized to transduce a particular form of physical energy into a change in electrical activity that the nervous system can carry.
- Signal detection theory.
- A framework treating detection as a decision under noise, separating sensory sensitivity from the decision criterion an observer adopts.
- Stevens' power law.
- The proposal that sensation magnitude grows as stimulus intensity raised to a modality-specific exponent, replacing Fechner's logarithm.
- Transduction.
- The conversion of physical energy from a stimulus into the electrochemical signals used by neurons; the defining act of sensation.
- Weber fraction.
- The constant ratio of the difference threshold to the baseline stimulus intensity that Weber's law asserts for a given modality.
- Weber's law.
- The finding that the just-noticeable difference between two stimuli is a constant proportion of the baseline stimulus magnitude.
Key Researchers
Marc O. Ernst. Psychophysicist at the University of Ulm; with Banks he showed that humans integrate visual and haptic information in a statistically optimal, reliability-weighted fashion, providing the empirical cornerstone of Bayesian accounts of multisensory perception. Faculty Page - Google Scholar
Gustav Theodor Fechner. German physicist and philosopher (1801–1887); he founded psychophysics with the 1860 Elemente der Psychophysik, deriving the logarithmic law relating sensation to stimulus intensity and establishing that the mind could be measured. Wikipedia - Wikidata
Ardem Patapoutian. Molecular neuroscientist at Scripps Research and the Howard Hughes Medical Institute, and 2021 Nobel laureate; he discovered the PIEZO mechanically activated ion channels, revealing the molecular basis of touch and proprioception. ORCID - Faculty Page - Wikipedia
Barry E. Stein. Neuroscientist at the Wake Forest School of Medicine; his work on the superior colliculus established the principles of multisensory integration at the level of the single neuron, including the spatial, temporal, and inverse-effectiveness rules of cross-modal enhancement. Faculty Page - Wikipedia - Wikidata
Stanley Smith Stevens. American psychophysicist (1906–1973); he introduced magnitude estimation and the power law of sensation, proposed the four levels of measurement, and reshaped sensory scaling in direct challenge to Fechner's law. Wikipedia - Wikidata
Ernst Heinrich Weber. German physician and experimental psychologist (1795–1878); he discovered that the just-noticeable difference is a constant proportion of the baseline stimulus, the empirical law on which Fechner built psychophysics. Wikipedia - Wikidata
Frequently Asked Questions
What is sensation?
Sensation is the process by which specialized receptors detect physical stimuli, light, sound, pressure, chemicals, heat, and transduce them into the neural signals the brain can use. It is the entry point of experience, supplying the raw data that perception then organizes and interprets (Gescheider, 1997).
How is sensation different from perception?
Sensation is the detection and encoding of a stimulus by the senses; perception is the brain's organization and interpretation of that encoded input into a meaningful experience. The same sensory signal can produce different percepts depending on context, attention, and prior knowledge (Kingdom & Prins, 2016).
What is Weber's law?
Weber's law states that the smallest detectable change in a stimulus is a constant proportion of the baseline stimulus, not a constant amount. An observer can tell 100 grams from 102 grams about as easily as 200 grams from 204 grams, because the increment needed scales with the starting value (Gescheider, 1997; Pardo-Vázquez et al., 2019).
What is the difference between Fechner's law and Stevens' law?
Both describe how sensation grows with intensity. Fechner's law says sensation grows as the logarithm of intensity, so equal ratios add equal increments. Stevens' law says sensation grows as intensity raised to a modality-specific power, which fits direct magnitude estimates better and allows sensation to expand as well as compress (Fechner, 1966; Stevens, 1957).
What is signal detection theory?
Signal detection theory treats detection as a decision made against a background of neural noise. It separates sensitivity, how well the observer can tell signal from noise, from the criterion, how much evidence the observer requires before saying yes, so that willingness to respond is not confused with sensory acuity (Green & Swets, 1966).
How many senses do humans have?
More than the traditional five. Besides vision, hearing, taste, smell, and touch, humans have proprioception (body position), balance, temperature sensing, pain, and several internal senses. The exact number depends on how modalities are individuated, so there is no single correct count (Kefauver et al., 2020).
Why do sensations fade when a stimulus stays constant?
This is sensory adaptation. When a stimulus is held constant the receptors and pathways reduce their response, recalibrating to the prevailing level so the system stays sensitive to change. A steady smell or the feel of clothing fades within moments, while a sudden change is immediately noticed (Gescheider, 1997).
Does the brain combine information from different senses?
Yes. The brain integrates signals across modalities, weighting each by its reliability to form a single estimate that is more precise than any one sense alone, and it infers whether signals share a common cause before fusing them (Ernst & Banks, 2002; Rohe & Noppeney, 2015).
References
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Green, D. M., & Swets, J. A. (1966). Signal detection theory and psychophysics. John Wiley & Sons.
Kefauver, J. M., Ward, A. B., & Patapoutian, A. (2020). Discoveries in structure and physiology of mechanically activated ion channels. Nature, 587(7835), 567-576. https://doi.org/10.1038/s41586-020-2933-1
Kingdom, F. A. A., & Prins, N. (2016). Psychophysics: A practical introduction (2nd ed.). Academic Press.
Pardo-Vázquez, J. L., Castiñeiras-de Saa, J. R., Valente, M., Damião, I., Costa, T., Vicente, M. I., Mendonça, A. G., Mainen, Z. F., & Renart, A. (2019). The mechanistic foundation of Weber's law. Nature Neuroscience, 22(9), 1493-1502. https://doi.org/10.1038/s41593-019-0439-7
Rahnev, D., & Denison, R. N. (2018). Suboptimality in perceptual decision making. Behavioral and Brain Sciences, 41, e223. https://doi.org/10.1017/S0140525X18000936
Rohe, T., & Noppeney, U. (2015). Cortical hierarchies perform Bayesian causal inference in multisensory perception. PLOS Biology, 13(2), e1002073. https://doi.org/10.1371/journal.pbio.1002073
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Stevens, S. S. (1957). On the psychophysical law. Psychological Review, 64(3), 153-181. https://doi.org/10.1037/h0046162
Stevens, S. S. (1961). To honor Fechner and repeal his law. Science, 133(3446), 80-86. https://doi.org/10.1126/science.133.3446.80
Teghtsoonian, R. (1971). On the exponents in Stevens' law and the constant in Ekman's law. Psychological Review, 78(1), 71-80. https://doi.org/10.1037/h0030300