Extending human perception of electromagnetic radiation to the UV region through biologically inspired photochromic fuzzy logic (BIPFUL) systems

Article abstract of DOI:10.1039/c5cc09290f

Photochromic fuzzy logic systems have been designed that extend human visual perception into the UV region. The systems are founded on a detailed knowledge of the activation wavelengths and quantum yields of a series of thermally reversible photochromic c

Full text of DOI:10.1039/c5cc09290f

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Extending human perception of electromagnetic
radiation to the UV region through biologically
inspired photochromic fuzzy logic (BIPFUL) systems†
Cite this:DOI: 10.1039/c5cc09290f
Received 9th November 2015,
Accepted 30th November 2015
Pier Luigi Gentili,*a Amanda L. Rightler,ab B. Mark Heronc and
Christopher D. Gabbuttc
DOI: 10.1039/c5cc09290f
www.rsc.org/chemcomm
Photochromic fuzzy logic systems have been designed that extend the degrees of activation of the three types of cones is information
human visual perception into the UV region. The systems are founded that travels as electrochemical signals up to the visual cortex. In the
on a detailed knowledge of the activation wavelengths and quantum visual cortex, information is encoded as a specific pattern of activity
yields of a series of thermally reversible photochromic compounds. By of the cortical neurons in layer 4 of the V1 area.4–7 Metameric
appropriate matching of the photochromic behaviour unique colour matches8 occur when different spectral signals lead to the same
signatures are generated in response differing UV activation frequencies. activation patterns in the three types of cones and to the same
pattern of activity in the visual cortex; thus, the different spectral
A deep scientific understanding of how the human brain perceives, signals appear to represent the same colour. Of course, the overall
thinks, and acts will have a revolutionary impact in science, information about the colours within our brain is not limited to
medicine, economic growth, security and well-being as recently a simple correspondence between pigment activation and the
expounded by an interdisciplinary and international team lead spectrum of light. In fact, neuro-physiological evidence, such as
by Albus.1 Perception plays a relevant role within the cognitive colour constancy and coloured shadows, reveal the existence of
architecture of the human nervous system. In fact, it builds and post-receptor mechanisms for colour information processing.9,10 As
maintains an internal model of the external world and conditions far as the receptor mechanisms of colour perception are concerned,
behavior.2 Among the different sensory systems, we have at our these mechanisms can be modelled by invoking the theory of fuzzy
disposal, the visual system is remarkable because it allows us to logic.11,12 Fuzzy logic is a mathematically rigorous model useful to
discern colour, shape and the movement of objects.3 Human describe the human computational ability which presently uses
colour perception is founded upon a mosaic of many replicas of words and imprecise reasoning.13 It is based on the theory of fuzzy
three types of photosensitive cells, termed cones. Each type of cone sets proposed by Zadeh 50 years ago.14 A fuzzy set is more than a
absorbs a particular region of the visible spectrum, although their ‘‘classical’’ set because it can not only wholly include or wholly
spectra partly overlap. There is a type of cone that absorbs mainly exclude elements, but it can also partially include and exclude other
blue light (with an absorbance peak at 420 nm), another that elements. A fuzzy set breaks the law of excluded middle, because an
absorbs green wavelengths (with an absorbance peak at 530 nm), element may belong to both a fuzzy set and its complement. The
and a third type that absorbs up into the red region (with an degree of membership (m) of an element to a fuzzy set can be any
absorbance peak at 565 nm). When light, having a particular real number included between 0 and 1. Fuzzy logic describes any
spectral power distribution, impinges on the retina, it activates each non-linear complex input–output relations after building a fuzzy
of the three types of cones by differing degrees. The distribution of logic system. A fuzzy logic system consists of a collection of input
fuzzy sets, a collection of output fuzzy sets, and a fuzzy inference
engine that links, through syllogistic statements of the type ‘‘if...,
then...’’, each input fuzzy set to a particular output fuzzy set. The
a Department of Chemistry, Biology and Biotechnology, University of Perugia,
Via Elce di sotto 8, 06123 Perugia, Italy. E-mail: pierluigi.gentili@unipg.it
b Department of Chemistry and Biochemistry, University of Tulsa, Tulsa,
cones on the retina behave like input fuzzy sets: a beam of light
impinging upon the retina belongs to the cellular fuzzy sets to
different degrees, depending on its spectral power distribution. On
the other hand, output fuzzy sets are made of clusters of patterns of
activity of cortical neurons that are interpreted as the same colour.
The fuzzy inference engine is the mechanism of transduction of the
electrochemical information stored by the photoreceptor cells in
the information encoded as patterns of activity of cortical neurons.
Oklahoma, USA
c Department of Chemical and Biological Sciences, School of Applied Science,
University of Huddersfield, Queensgate, Huddersfield, HD1 3DH, UK
† Electronic supplementary information (ESI) available: Instrumentation and materials
and methods. The synthesis of 2–5 are described. The methodology for the determina-
tion of the photochemical quantum yields. Quantum mechanical simulations of the
absorption spectra of the uncolored forms by the DFT method. The reflectance spectra
of the photochromic sheets of white paper. See DOI: 10.1039/c5cc09290f
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This description is useful for the design of biologically inspired
chemical systems for UV vision.
Humans cannot perceive UV radiation because the lens and
cornea of the eye absorb strongly in this wavelength region
preventing UV radiation from reaching the retina. However, a wide
variety of animal species show sensitivity to UV, ranging from
insects to mammals. Most often, the species that see UV are
provided with a specific photoreceptor peaked around 350 nm in
the UV-A region.15,16 UV sensitivity is useful in activities as diverse
as navigation, intra- and inter-species communication, foraging
and circadian synchronization. A remarkable case is the mantis
shrimp that has at least four types of photoreceptors for UV in
addition to eight for the visible region, as befits its habitat of
kaleidoscopically colourful tropical coral reefs.17
In this work, we present the synthesis, study and optimized
combinations of five thermally reversible photochromic compounds
(1–5) that generate biologically inspired fuzzy logic systems useful to
transform the frequencies of the UV spectrum, invisible to us, into
specific colours perceptible to the human eye. The photochromic
compounds are 1,3-dihydro-1,3,3-trimethyl-80-nitro-spiro[2H-indole-
2,30-[3H]naphth[2,1-b][1,4]oxazine] (1), 2,2-bis(4-methoxyphenyl)-5,6-
dimethyl-2H-naphtho[1,2-b]pyran (2), 6-morpholino-3-(4-morpholino-
phenyl)-3-phenyl-3H-naphtho[2,1-b]pyran (3), 3,3-diphenyl-6-
morpholino-3H-naphtho[2,1-b]pyran (4), 3-(2-fluorophenyl)-3-
(4-pyrrolidinophenyl)-3H-naphtho[2,1-b]pyran (5). Their structures
and the colours of their solutions containing their ring-opened
forms after UV irradiation are shown in Fig. 1.
The absorption spectra of the closed uncoloured forms are
depicted in Fig. 2A. Naphthoxazine 1 has the largest absorption
coefficient in the UV-A (320–400 nm) and almost in the entire
UV-B region (280–320 nm). In the portion of UV-C included
between 250 and 280 nm that will be considered in this work,
the absorption of 1 is overwhelmed by the contributions of the
other four naphthopyrans. Naphtho[2,1-b]pyrans 3 and 4 have
fairly similar absorption spectra in the UV-A; in UV-B and UV-C
regions, 3 absorbs more than 4 due to the presence of a morpholino
group bound to one of the two phenyl rings (see Fig. 1). Naphtho-
[1,2-b]pyran 2 is characterized by small values of the absorption
coefficient in the range 387–294 nm. Compound 5 is the
naphtho[2,1-b]pyran that commences absorption at the shortest
Fig. 2 Quantitative absorption spectra (recorded in MeCN) of the closed
uncoloured (A) and open coloured (B) forms of 1 (black traces), 3 (red
traces), 4 (green traces), 2 (magenta traces), and 5 (blue traces).
wavelengths among the other photochromes. Upon UV irradiation
(see Fig. 2B), 1 gives rise to a merocyanine that has an absorption
band with a maximum at 610 nm and its solution becomes blue; 5
generates a band having a maximum at 554 nm and its solution
becomes purple; 2 produces a band in the visible region which
peaks at 497 nm and its solution becomes pink; 3 gives rise to a
band centred at 463 nm and its solution becomes orange; finally, 4
generates a narrow band with a maximum at 413 nm and its
solution appears yellow. The band due to 1 has an absorption
coefficient at 610 nm that is more than four times larger than the
values of the other coloured species; it is generally accepted that
photochromic oxazines typically afford ring-opened species, which
are more hyperchromic and bathochromic than those derived from
diarylnaphthopyrans.18–21
The photochemical quantum yields (FPC) of the five photo-
chromic compounds have been determined by irradiating at
different wavelengths in the UV. The experimental methodology
followed for their determination is described in the ESI.†
The results are listed in Table 1. For all compounds, FPC in
the UV-C region is larger than FPC in UV-A and UV-B regions.
This is particularly true in the case of naphthopyrans. In fact,
naphthopyrans are known to give ultrafast electrocyclic ring
opening reactions that kinetically compete with the other
unreactive relaxation pathways and their photochemical quantum
yields are usually wavelength-dependent.22 Simulations of the
absorption spectra by density functional theory computation
(DFT, see ESI†) reveal that the electronic transitions in UV-A
Table 1 Photochemical quantum yields (FPC) determined by irradiating
the five photochromic compounds in different regions of the UV spectrum,
and lifetimes (t) of their coloured forms (in MeCN solution)
Compound
FPC (UV-A)
FPC (UV-B)
FPC (UV-C)a
t = 1/kD (s)
1
2
3
4
5
0.12
0.17
0.24
0.27
0.28
0.07
0.26
0.25
0.42
0.23
0.18
0.45
0.92
0.53
0.62
25
37
37
61
19
Fig. 1 Structures of the five closed uncoloured (1c–5c) photochromic
compounds and their ring-opened coloured forms (1o–5o). The pictures
show the colours they produce in MeCN solutions upon UV irradiation.
a
The quantum yields in the UV-C have been determined by irradiating
with wavelengths longer than 250 nm.
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and UV-B involve mainly the naphthopyran rings, whereas those
in UV-C have charge transfer character from the naphthopyran
rings to the two phenyl groups bound to the sp3 carbon atom in
the pyran ring. The open forms produced by irradiating with UV
have lifetimes of tens of seconds, which are independent of the
frequency of irradiation (see data in Table 1). In particular, the
open form of 5 has the shortest lifetime, lasting 19 s, whereas
the open form of 4 is approximately three times more persistent.
With knowledge of the spectral and photochemical properties of
the five photochromes, some or all of them can be mixed in different
ratios to create chemical systems able to transform the frequencies
of the UV-A, UV-B and UV-C regions into different colours. The
matching criteria are founded upon two considerations. First, the
absorption bands of the uncoloured forms must be conceived as
input fuzzy sets and the irradiation intensity I0(lirr) at lirr will belong
to each of them with a degree (mUV,i) given by:
Fig. 3 Response of the quaternary photochromic fuzzy logic system to
electromagnetic radiation belonging to the UV-A, UV-B and UV-C regions,
respectively. Continuous traces represent the calculated spectral contribution
of 1 (black), 4 (green), 2 (magenta), 5 (blue); their algebraic sum gives the red
dashed traces. The grey dashed traces represent the spectra recorded experi-
mentally using 125 W Xe lamp as irradiation source. In the three plots, DA is
obtained by subtracting the spectrum recorded at the photo-stationary state
from the initial one; (A/I0) represents the total absorbance into the visible
calculated by eqn (2), divided by the total intensity (I0) at lirr.
mUV,i = FPC,i(lirr)ꢀIabs,i(lirr
)
(1)
UV,il0,i
In eqn (1),12,23 Iabs,i(lirr) = I0(lirr)(1–10ꢁe
) is the intensity
absorbed by the uncoloured form of the i-th species whose
absorption coefficient is eUn,i and whose analytical concentration
is C0,i. Second, the bands in the visible region produced by the
open forms behave as output fuzzy sets. The contribution in
absorbance of each coloured species at the wavelength lan
belonging to the visible region will be:
reproduced if we consider that the closed forms of 1 and 4 are
completely transformed into their open forms by UV-A, whereas
2 and 5 are completely converted into their coloured forms by
UV-B. When we add the contribution of the radiation at
254 nm, emitted by the Hg lamp (see plot B1 in Fig. 4), the
solution turns red because of the higher FPC of 2 and 5 in the
eCo;iðlanÞ
ACo;iðlanÞ ¼
mUV;i
(2)
kD;i
where kD,i is the reciprocal of the lifetime of the i-th open form.
The final absorption spectrum recorded at the photo-stationary
state will be the sum of as many terms represented by eqn (2) as
there are photochromic components present in the mixture. Of
course, the sum must be extended to all the wavelengths (lan
)
belonging to the visible spectrum.
Many combinations of photochromes 1–5, containing from
three to five compounds and selected by applying eqn (1) and (2),
have been found effective in distinguishing the three principal UV
regions: UV-A (400–320 nm) from UV-B (320–280 nm) and from UV-C
with l Z 250 nm. One of the best systems was a quaternary mixture
involving 1, 4, 5, and 2 in concentrations of 5.2 ꢂ 10ꢁ5 M, 7.38 ꢂ
10ꢁ5 M, 1.4 ꢂ 10ꢁ4 M, and 1.4 ꢂ 10ꢁ4 M, respectively. Its
discriminative power is shown in Fig. 3. When the system is
irradiated by frequencies belonging to UV-A, the solution becomes
green; under UV-B, the solution turns to grey, and under UV-C
irradiation with wavelengths longer than 250 nm, it becomes orange.
The spectra recorded at the photo-stationary states, shown as the
grey dashed traces in the bottom panels of Fig. 3, are accurately
reproducible by summing the spectral contribution of each species,
expressed by eqn (2) (see the red dashed traces in the same panels).
Eqn (2) provides a powerful means to predict the observed colour
when the mixture is irradiated by many UV frequencies, simulta-
neously. For example, in Fig. 4, the experimental (grey dashed traces)
and predicted (red dashed traces) spectra obtained under different
polychromatic irradiation frequencies are compared.
Fig. 4 Response of the quaternary photochromic fuzzy logic system to
electromagnetic radiation belonging to different regions of UV. In each
panel, the left-hand side plot represents the spectrum of the irradiation
source, whereas the plot on the right shows the experimental spectrum
(grey dashed trace) compared with the calculated spectrum (red dashed
trace) obtained by summing the contributions of 1 (black continuous
trace), 4 (green continuous trace), 2 (magenta continuous trace) and 5
(blue continuous trace). On the right-hand plot of each panel there is also
a picture of the irradiated solution (inset). The top-left panel is relative to
direct sunlight at 11 a.m.; the top-right panel is relative to direct sunlight at
11 a.m. plus irradiation at 254 nm emitted by a Hg lamp (inset); the bottom-
left-hand panel is relative to skylight and the bottom-right panel is relative
to skylight plus irradiation at 254 nm emitted by a Hg lamp (inset).
Under direct sunlight (see top-left panel), the solution
becomes orange, and the experimental spectrum can be readily
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sheet of inexpensive filter paper. Therefore, these photochromic
systems are promising for designing new devices distinguishing UV
frequencies in a photochemical manner instead of photo-electrically
as with the use of semiconductors.32 Such photochemical UV
detectors can be directly linked to human vision through the colours
they produce and can supplement the performance of our visual
system, enabling a further degree of detection and discrimination.
P. L. Gentili acknowledges the financial support by the Uni-
versity of Perugia (Fondo Ricerca di Base 2014, D. D. n. 170, 23/12/
2014). A. L. Rightler thanks the American Chemical Society IREU
Program and the National Science Foundation for support under
award number DMR-1262908. The EPSRC are thanked for provi-
sion of a mass spectrometry service at the University of Swansea.
Fig. 5 Images of three sheets of white filter paper impregnated with
optimal photochromic dye mixture and irradiated by UV-A (A), UV-B
(B) (emitted by a 125 W Xe lamp) and UV-C (C) (emitted by a Hg lamp)
radiation through negative masks reproducing the letters (A, B and C),
respectively.
UV-C region. When the solution is irradiated by skylight but not
direct sunlight, it assumes a pale green colour because the
spectrum of skylight is deficient in UV-B (see plot C1 in Fig. 4).
When we add the 254 nm wavelength emitted by the Hg lamp to
the spectrum of skylight, the colour of the solution turns red
because the very intense UV-C radiation quantitatively transforms
the closed forms of 2 and 5 to their respective open structures. In
fact, 2 and 5 have higher probabilities of absorbing the 254 nm
radiation because they are at higher concentration in the mixture.
The performance of the Biologically Inspired Photochromic
Fuzzy Logic (BIPFUL) systems investigated in acetonitrile solutions
can be extended to a solid cellulose support as in white paper. After
soaking a sheet of filter paper in an acetonitrile solution of
the quaternary mixture described above, and after drying, the
impregnated paper becomes photochromic and UV selective. It
is possible to write on the paper by using UV radiation, and it is
possible to change colour by appropriate tuning of the frequency
of the irradiation source. For example, Fig. 5 shows a green A, a
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of carefully matched thermoreversible photochromic compounds
are chemical systems having the emergent property of dis-
criminating the three UV regions of the electromagnetic spectrum.
These results contribute to the development of Systems Chemistry24
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