A paleo-experimental evolution report on elongation factor EF-Tu structural stability results has provided an opportunity to rewind the tape of life using the ancestral protein sequence reconstruction modeling approach; consistent with the book of life dogma in current biology and being an important component in the astrobiology community. Fractal dimension via the Higuchi fractal method and Shannon entropy of the DNA sequence classification could be used in a diagram that serves as a simple summary. Results from biomedical gene research provide examples on the diagram methodology. Comparisons between biomedical genes such as EEF2 (elongation factor 2 human, mouse, etc), WDR85 in epigenetics, HAR1 in human specificity, DLG1 in cognitive skill, and HLA-C in mosquito bite immunology with EF Tu DNA sequences have accounted for the reported circular dichroism thermo-stability data systematically; the results also infer a relatively less volatility geologic time period from 2 to 3 Gyr from adaptation viewpoint. Comparison to Thermotoga maritima MSB8 and Psychrobacter shows that Thermus thermophilus HB8 EF-Tu calibration sequence could be an outlier, consistent with free energy calculation by NUPACK. Diagram methodology allows computer simulation studies and HAR1 shows about 0.5% probability from chimp to human in terms of diagram location, and SNP simulation results such as amoebic meningoencephalitis NAF1 suggest correlation. Extensions to the studies of the translation and transcription elongation factor sequences in Megavirus Chiliensis, Megavirus Lba and Pandoravirus show that the studied Pandoravirus sequence could be an outlier with the highest fractal dimension and lowest entropy, as compared to chicken as a deviant in the DNMT3A DNA methylation gene sequences from zebrafish to human and to the less than one percent probability in computer simulation using the HAR1 0.5% probability as reference. The diagram methodology would be useful in ancestral gene reconstruction studies in astrobiology and also be applicable to the study of point mutation in conformational thermostabilization research with Synchrotron based X-ray data for drug applications such as Parkinson’s disease.
Extremophilic cold-adapted sequences and their degradation codes have been studied using fractal dimension and Shannon entropy. The nucleotide fluctuation of a DNA and/or RNA sequence can be studied as a random series using the nucleotide atomic number differences between A, T, C, G, and U. Studies of degradation codes suggest a positive correlation of Shannon entropy with mRNA stability, and a negative correlation of fractal dimension with mRNA stability.
Pathogens could be inactivated via a light source coupled with a photosensitizing agent in photodynamic
antimicrobial chemotherapy (PACT). This project studied the effect of non-homogenous substrate on cell
colony. The non-homogeneity could be controlled by iron oxide nano-particles doping in porous glassy
substrates such that each cell would experience tens of hot spots when illuminated with additional light source.
The substrate non-homogeneity was characterized by Atomic Force Microscopy, Transmission Electron
Microscopy and Extended X-Ray Absorption Fine Structure at Brookhaven Synchrotron Light Source.
Microscopy images of cell motion were used to study the motility. Laboratory cell colonies on non-homogenous
substrates exhibit reduced motility similar to those observed with sub-lethal PCAT treatment. Such motility
reduction on non-homogenous substrate is interpreted as the presence of thermal stress. The studied pathogens
included E. coli and Pseudomonas aeruginosa. Non-pathogenic microbes Bacillus subtilis was also studied for
comparison. The results show that sub-lethal PACT could be effective with additional non-homogenous thermal
stress. The use of non-uniform illumination on a homogeneous substrate to create thermal stress in sub-micron
length scale is discussed via light correlation in propagation through random medium. Extension to sub-lethal
PACT application complemented with thermal stress would be an appropriate application.
Human (and other mammals) would secrete cerumen (ear wax) to protect the skin of the ear canal against
pathogens and insects. The studies of biodiversity of pathogen in human include intestine microbe colony, belly
button microbe colony, etc. Metals such as zinc and iron are essentials to bio-molecular pathways and would be
related to the underlying pathogen vitality. This project studies the biodiversity of cerumen via its metal content
and aims to develop an optical probe for metal content characterization. The optical diffusion mean free path and
absorption of human cerumen samples dissolved in solvent have been measured in standard transmission
measurements. EXFAS and XANES have been measured at Brookhaven Synchrotron Light Source for the
determination of metal contents, presumably embedded within microbes/insects/skin cells. The results show that
a calibration procedure can be used to correlate the optical diffusion parameters to the metal content, thus
expanding the diagnostic of cerumen in the study of human pathogen biodiversity without the regular use of a
synchrotron light source. Although biodiversity measurements would not be seriously affected by dead microbes
and absorption based method would do well, the scattering mean free path method would have potential to
further study the cell based scattering centers (dead or live) via the information embedded in the speckle pattern
in the deep-Fresnel zone.
Blood protein molecules could be embedded in porous glassy substrate with 10-nm pores. The embedding
principle is based on blood cell dehydration with the destruction of the cell membrane, and reconstitution and
centrifuge could yield a suitable solution for doping into a porous glassy medium. The doped glassy substrate
speckle pattern under laser illumination could be used to characterize the protein size distribution. Calibration
with known protein embedded samples would result in an optical procedure for the characterization of a blood
sample. Samples embedded with larger kilo-Dalton protein molecule show more variation in the speckle
patterns, consistent with protein folding interaction inside a pore cavity. A regression model has been used to
correlate the protein molecule sizes with speckle sizes. The use of diffusion mean free path information to study
protein folding in the embedding process is briefly discussed.
Cell density is an important parameter in the question of bio-variation and the studying of cell scattering could
be a viable tool. The development of spatially resolved optical fiber probe would enable the characterization of
optical scattering from cells within a colony. Single mode fiber probe would be budget friendly as compared to a
50-nm sub-cellular fiber probe. This project develops a calibration procedure to correlate the optical scattering
measured by a single mode fiber probe to that of a 50-nm sub-cellular fiber probe in the context of cell density
variation. The Fourier transform of intensity angular transmission would give correlation information in the Efield
in the spatial coordinate. Monte Carlo simulation could be used to constrain the input intensity function
spatial content resembling microscopy. The use of a 50-nm sub-cellular fiber probe for detailed study of
biological samples would give sub-micron scale length information.
Macro-bending fiber optic based heart-rate and pulse pressure shape monitors have been fabricated and tested for
non-invasive measurement. Study of fiber bending loss and its stability and variations are very important
especially for sensor designs based on optical fiber bending. Wavelengths from 1300 nm to 1550 nm have been
used with fabrication based on multimode fiber, single mode fiber, and photonic crystal fiber. The smallest
studied curvature would demand the use of single mode standard fibers. The collected data series show high
quality suitable for random series analysis. Fractal property of optically measured pulse pressure data has been
observed to correlate with physical activity. Correlation to EKG signal suggests that the fabricated monitors are
capable of measuring the differential time delays at wrist and leg locations. The difference in time delay could
be used to formulate a velocity parameter for diagnostics. The pulse shape information collected by the fiber
sensor provides additional parameters for the analysis of the fractal nature of the heart. The application to real
time measurement of blood vessel stiffness with this optical non-invasive fiber sensor is discussed.
The Rubisco protein-enzyme is arguably the most abundance protein on Earth. The biology dogma of
transcription and translation necessitates the study of the Rubisco genes and Rubisco-like genes in various
species. Stronger correlation of fractal dimension of the atomic number fluctuation along a DNA sequence with
Shannon entropy has been observed in the studied Rubisco-like gene sequences, suggesting a more diverse
evolutionary pressure and constraints in the Rubisco sequences. The strategy of using metal for structural
stabilization appears to be an ancient mechanism, with data from the porphobilinogen deaminase gene in
Capsaspora owczarzaki and Monosiga brevicollis. Using the chi-square distance probability, our analysis
supports the conjecture that the more ancient Rubisco-like sequence in Microcystis aeruginosa would have
experienced very different evolutionary pressure and bio-chemical constraint as compared to Bordetella
bronchiseptica, the two microbes occupying either end of the correlation graph. Our exploratory study would
indicate that high fractal dimension Rubisco sequence would support high carbon dioxide rate via the Michaelis-
Menten coefficient; with implication for the control of the whooping cough pathogen Bordetella bronchiseptica,
a microbe containing a high fractal dimension Rubisco-like sequence (2.07). Using the internal comparison of
chi-square distance probability for 16S rRNA (~ E-22) versus radiation repair Rec-A gene (~ E-05) in high GC
content Deinococcus radiodurans, our analysis supports the conjecture that high GC content microbes containing
Rubisco-like sequence are likely to include an extra-terrestrial origin, relative to Deinococcus radiodurans.
Similar photosynthesis process that could utilize host star radiation would not compete with radiation resistant
process from the biology dogma perspective in environments such as Mars and exoplanets.
Technologically important extremophiles including oil eating microbes, uranium and rocket fuel perchlorate
reduction microbes, electron producing microbes and electrode electrons feeding microbes were compared in
terms of their 16S rRNA sequences, a standard targeted sequence in comparative phylogeny studies. Microbes
that were reported to have survived a prolonged dormant duration were also studied. Examples included the
recently discovered microbe that survives after 34,000 years in a salty environment while feeding off organic
compounds from other trapped dead microbes. Shannon entropy of the 16S rRNA nucleotide composition and
fractal dimension of the nucleotide sequence in terms of its atomic number fluctuation analyses suggest a
selected range for these extremophiles as compared to other microbes; consistent with the experience of
relatively mild evolutionary pressure. However, most of the microbes that have been reported to survive in
prolonged dormant duration carry sequences with fractal dimension between 1.995 and 2.005 (N = 10 out of 13).
Similar results are observed for halophiles, red-shifted chlorophyll and radiation resistant microbes. The results
suggest that prolonged dormant duration, in analogous to high salty or radiation environment, would select high
fractal 16S rRNA sequences. Path analysis in structural equation modeling supports a causal relation between
entropy and fractal dimension for the studied 16S rRNA sequences (N = 7). Candidate choices for high fractal
16S rRNA microbes could offer protection for prolonged spaceflights. BioBrick gene network manipulation
could include extremophile 16S rRNA sequences in synthetic biology and shed more light on exobiology and
future colonization in shielded spaceflights. Whether the high fractal 16S rRNA sequences contain an asteroidlike
extra-terrestrial source could be speculative but interesting.
The Zn-metalloprotease family contains conserved amino acid structures such that the nucleotide fluctuation at
the DNA level would exhibit correlated randomness as described by fractal dimension. A nucleotide sequence
fractal dimension can be calculated from a numerical series consisting of the atomic numbers of each nucleotide.
The structure's vibration modes can also be studied using a Gaussian Network Model. The vibration measure
and fractal dimension values form a two-dimensional plot with a standard vector metric that can be used for
comparison of structures. The preference for amino acid usage in extremophiles may suppress nucleotide
fluctuations that could be analyzed in terms of fractal dimension and Shannon entropy. A protein level cold
adaptation study of the thermolysin Zn-metalloprotease family using molecular dynamics simulation was
reported recently and our results show that the associated nucleotide fluctuation suppression is consistent with a
regression pattern generated from the sequences's fractal dimension and entropy values (R-square ~ 0.98, N =5).
It was observed that cold adaptation selected for high entropy and low fractal dimension values. Extension to the
Archaemetzincin M54 family in extremophiles reveals a similar regression pattern (R-square = 0.98, N = 6). It
was observed that the metalloprotease sequences of extremely halophilic organisms possess high fractal
dimension and low entropy values as compared with non-halophiles. The zinc atom is usually bonded to the
histidine residue, which shows limited levels of vibration in the Gaussian Network Model. The variability of the
fractal dimension and entropy for a given protein structure suggests that extremophiles would have evolved after
mesophiles, consistent with the bias usage of non-prebiotic amino acids by extremophiles. It may be argued that
extremophiles have the capacity to offer extinction protection during drastic changes in astrobiological
environments.
Archaea are important potential candidates in astrobiology as their metabolism includes solar, inorganic and
organic energy sources. Archaeal viruses would also be expected to be present in a sustainable archaeal
exobiological community. Genetic sequence Shannon entropy and fractal dimension can be used to establish a
two-dimensional measure for classification and phylogenetic study of these organisms. A sequence fractal
dimension can be calculated from a numerical series consisting of the atomic numbers of each nucleotide.
Archaeal 16S and 23S ribosomal RNA sequences were studied. Outliers in the 16S rRNA fractal dimension and
entropy plot were found to be halophilic archaea. Positive correlation (R-square ~ 0.75, N = 18) was observed
between fractal dimension and entropy across the studied species. The 16S ribosomal RNA sequence entropy
correlates with the 23S ribosomal RNA sequence entropy across species with R-square 0.93, N = 18. Entropy
values correspond positively with branch lengths of a published phylogeny. The studied archaeal virus
sequences have high fractal dimensions of 2.02 or more. A comparison of selected extremophile sequences with
archaeal sequences from the Humboldt Marine Ecosystem database (Wood-Hull Oceanography Institute, MIT)
suggests the presence of continuous sequence expression as inferred from distributions of entropy and fractal
dimension, consistent with the diversity expected in an exobiological archaeal community.
Daytime photosynthesis and nighttime nitrogen fixation metabolic processes have been reported in the
bacterium, Cyanothece 51142. The organism's auto-fluorescence with 532 nm excitation would place
cyanobacteria at the forefront in the remote sensing of microbial activity in astrobiology. The sensitivity of
nitrogenase to oxygen was studied in terms of sequence nucleotide fluctuation. A nucleotide sequence fractal
dimension can be calculated from a numerical series consisting of the atomic numbers of each nucleotide. The
fractal dimension and Shannon entropy form a two-dimensional measure that is useful in assessing evolutionary
pressures. The studied sequences include nitrogenase iron protein NifH, nitrogenase molybdenum-iron protein
alpha chain NifD and beta chain NifK. The photosynthesis-lacking UCYN-A cyanobacterium as reported
recently in the journal, Nature, was observed to have the lowest entropy with relatively high fractal dimension
values in the studied NifH, NifD and NifH sequences. The fractal dimension of NifH sequences correlates with
the NifD sequence values with an R-square of 0.91 (N = 8). The Shannon mononucleotide entropy of NifD
sequences correlates with the NifK sequence values with an R-square value of 0.92 (N = 8). The observed strong
correlation suggests the presence of gradual evolutionary pressure among the studied cyanobacteria, and throws
light on the reported paradox in evolution for the case of UCYN-A. The results show that diurnal oscillation
metabolic processes in cyanobacteria (including the photosynthesis-deficient case) are not associated with
extraordinary evolutionary pressures and thus are processes consistent with putative astrobiological organisms.
The Single-Stranded DNA-Binding Protein (RPA) Genes in gamma ray radiation-resistant halophilic archaeon
Halobacterium sp. NRC-1 were analyzed in terms of their nucleotide fluctuations. In an ATCG sequence, each
base was assigned a number equal to its atomic number. The resulting numerical sequence was the basis of the
statistical analysis in this study. Fractal analysis using the Higuchi method gave fractal dimensions of 2.04 and
2.06 for the gene sequences VNG2160 and VNG2162, respectively. The 16S rRNA sequence has a fractal
dimension of 1.99. The di-nucleotide Shannon entropy values were found to be negatively correlated with the
observed fractal dimensions (R2~ 0.992, N=3). Inclusion of Deinococcus radiodurans Rad-A in the regression
analysis decreases the R2 slightly to 0.98 (N=4). A third VNG2163 RPA gene of unknown function but with upregulation
activity under irradiation was found to have a fractal dimension of 2.05 and a Shannon entropy of 3.77
bits. The above results are similar to those found in bacterial Deinococcus radiodurans and suggest that their
high radiation resistance property would have favored selection of CG di-nucleotide pairs. The two transcription
factors TbpD (VNG7114) and TfbA (VNG 2184) were also studied. Using VNG7114, VNG2184, and
VNG2163; the regression analysis of fractal dimension versus Shannon entropy shows that R2 ~ 0.997 for N =3.
The VNG2163 unknown function may be related to the pathways with transcriptions closely regulated to
sequences VNG7114 and VNG2184.
The discovery of perchlorate on Mars raises the possibility of the existence of perchlorate reduction microbes on
that planet. The perchlorate reductase gene sequence fractal dimensions of two Dechloromonas species were
compared with five other sequences in the microbial dimethyl sulfoxide (DMSO) reductase family. A nucleotide
sequence can be expressed as a numerical sequence where each nucleotide is assigned its proton number. The
resulting numerical sequence can be investigated for its fractal dimension in terms of evolution and chemical
properties for comparative studies. Analysis of the fractal dimensions for the DMSO reductase family supports
phylogenetic analyses that show that the perchlorate reductase gene sequences are members of the same family.
A sub-family with roughly the same nucleotide length emerges having the property that the gene fractal
dimension is negatively correlated with the Shannon di-nucleotide entropy (R2 ~ 0.95, N =5). The gene
sequence fractal dimension is found to be positively correlated with the neighbor joining distances reported in a
published protein phylogeny tree (R2~ 0.92, N = 5). The multi-fractal property associated with these genes
shows that perchlorate reductase has lower dimensionality as compared to the relatively higher dimensionality
DNA-break repair genes Rec-A and Rad-A observed in the Dechloromonas aromatica and Deinococcus
radiodurans genomes. The studied perchlorate gene sequences show a higher Shannon di-nucleotide entropy
(~3.97 bits) relative to Dechloromonas aromatica DNA repair sequences (~3.87 bits Rec-A, ~3.92 bits Rad-A),
suggesting that there are fewer constraints on nucleotide variety in the perchorlate sequences . These
observations thus allow for the existence of perchlorate reducing microbes on Mars now or in the past. Timeresolved
UV fluorescence study near the emission bands of nucleotide sequences could be used for bio-detection
on Mars-like surfaces and the results may further constrain the proposed conjectures.
Diatom bioactivity has been reported to be responsible for about 20% of carbon fixation globally and together
with other photosynthetic organisms, the bioactivity can be monitored via satellite ocean imaging. The bioinformatics
embedded in the nucleotide fluctuations of photosynthesis and bio-silicate genes in diatoms were
studied. The recently reported phosphoenolpyruvate carboxylase PEPC1 and PEPC2 C4-like photosynthesis
genes in Phaeodactylum tricornutum were found to have similar fractal dimensions of about 2.01. In
comparison, the green alga Chlamydomonas reinhardtii PEPC1 and PEPC2 genes have fractal dimensions of
about 2.05. The PEPC CpG dinucleotide content is 8% in P. tricornutum and 10% in C. reinhardtii. Further
comparison of the cell wall protein gene showed that the VSP1 gene sequence in C. reinhardtii has a fractal
dimension of 2.03 and the bio-silica formation silaffin gene in Thalassiosira pseudonana has a fractal dimension
of 2.01. The phosphoenolpyruvate carboxylase PPC1 and PPC2 in T. pseudonana were found to have fractal
dimensions and CpG dinucleotide content similar to that of P. tricornutum. The fractal dimension of the dnaB
replication helicase gene is about 1.98 for both diatoms as well as for the alga Heterosigma akashiwo. In
comparison, the E. coli dnaB gene has a fractal dimension of about 2.03. Given that high fractal dimension and
CpG dinucleotide content sequences have been associated with the presence of selective pressures, the relatively
low fractal dimension gene sequences of the two unique properties of Earth-bound diatoms (photosynthesis and
bio-silica cell wall) suggests the potential for the development of high fractal dimension sequences for adaptation
in harsh environments.
KEYWORDS: Fractal analysis, Organisms, Monte Carlo methods, Statistical analysis, Proteins, Image information entropy, Resistance, Biological research, Information science, Genetics
We have characterized function related DNA sequences of various organisms using informatics techniques,
including fractal dimension calculation, nucleotide and multi-nucleotide statistics, and sequence fluctuation
analysis. Our analysis shows trends which differentiate extremophile from non-extremophile organisms, which
could be reproduced in extraterrestrial life. Among the systems studied are radiation repair genes, genes involved
in thermal shocks, and genes involved in drug resistance. We also evaluate sequence level changes that have
occurred during short term evolution (several thousand generations) under extreme conditions.
A nucleotide sequence can be expressed as a numerical sequence when each nucleotide is assigned its proton
number. A resulting gene numerical sequence can be investigated for its fractal dimension in terms of evolution
and chemical properties for comparative studies. We have investigated such nucleotide fluctuation in the RecA
repair gene of Psychrobacter cryohalolentis K5, Psychrobacter arcticus 273-4, and Psychrobacter sp. PRwf-1.
The fractal dimension was found to correlate with the gene's operating temperature with the highest fractal
dimension associated with P. cryohalolentis K5 living at the low temperatures found in Siberian permafrost.
The CpG dinucleotide content was found to be about 5% for the three species of Psychrobacters, which is
substantially lower than that of Deinococcus radiodurans at about 12%. The average nucleotide pair-wise free
energy was found to be lowest for Psychrobacter sp. PRwf-1, the species with the lowest fractal dimension of
the three, consistent with the recent finding that Psychrobacter sp. PRw-f1 has a temperature growth maximum
of 15-20°C higher than P. arcticus 273-4 and P. cryohaloentis K5. The results suggest that microbial vitality in
extreme environments is associated with fractal dimension as well as high CpG dinucleotide content, while the
average nucleotide pair-wise free energy is related to the operating environment. Evidence that extreme
temperature operation would impose constraints measurable by Shannon entropy is also discussed. A
quantitative estimate of an entropy-based measure having the characteristics of a mechanical pressure shows that
the Psychrobacter RecA sequence experiences lower pressure than that of the human HAR1 sequence.
Cultures of the methane-producing archaea Methanosarcina, have recently been isolated from Alaskan
sediments. It has been proposed that methanogens are strong candidates for exobiological life in extreme
conditions. The spatial environmental gradients, such as those associated with the polygons on Mars' surface,
could have been produced by past methanogenesis activity. The 16S rRNA gene has been used routinely to
classify phenotypes. Using the fractal dimension of nucleotide fluctuation, a comparative study of the 16S
rRNA nucleotide fluctuation in Methanosarcina acetivorans C2A, Deinococcus radiodurans, and E. coli was
conducted. The results suggest that Methanosarcina acetivorans has the lowest fractal dimension, consistent
with its ancestral position in evolution. Variation in fluctuation complexity was also detected in the transcription
factors. The transcription factor B (TFB) was found to have a higher fractal dimension as compared to
transcription factor E (TFE), consistent with the fact that a single TFB in Methanosarcina acetivorans can code
three different TATA box proteins. The average nucleotide pair-wise free energy of the DNA repair genes was
found to be highest for Methanosarcina acetivorans, suggesting a relatively weak bonding, which is consistent
with its low prevalence in pathology. Multitasking capacity comparison of type-I and type-II topoisomerases
has been shown to correlate with fractal dimension using the methicillin-resistant strain MRSA 252. The
analysis suggests that gene adaptation in a changing chemical environment can be measured in terms of
bioinformatics. Given that the radiation resistant Deinococcus radiodurans is a strong candidate for an extraterrestrial
origin and that the cold temperature Psychrobacter cryohalolentis K5 can function in Siberian
permafrost, the fractal dimension comparison in this study suggests that a chemical resistant methanogen could
exist in extremely cold conditions (such as that which existed on early Mars) where demands on gene activity are
low. In addition, the comparative study of the Methanococcoides burtonii cold shock domain sequence has
provided further support for the correlation between multitasking capacity and fractal dimension.
Cell scattering produces a speckle pattern, while imaging produces a contrast pattern. This family of fluctuation signals can be studied by analysis techniques such as correlation and fractal dimension. Human breast cell (normal and cancerous) samples were investigated using laser speckle and imaging microscopy. Image data from tetraploid human cell motion and quorum sensing biofilm growth were studied as well, and we found that the signal fluctuations could be interpreted as gene expression fluctuations occurring during inter-cell communication. We have mapped nucleotide sequences as images and studied the fluctuation. We showed that the fractal dimension and correlation can be used for the description of bio-information from the DNA (nanometer) scale to the tissue (millimeter) level. Fluctuations of the HAR1 nucleotide sequence and IRF-6 single-mutation cases in the van der Woude syndrome were discussed. Sub-cell structures such as the 40S ribosome, GroEL, and lysozyme, were shown to carry texture fractal dimension information in their images consistent with their biological states. Clinical applications to X-ray mammography and Parkinson disease MRI data were discussed.
The absorption effect of the back surface boundary of a diffuse layer was studied via laser generated reflection speckle pattern. The spatial speckle intensity provided by a laser beam was measured. The speckle data were analyzed in terms of fractal dimension (computed by NIH ImageJ software via the box counting fractal method) and weak localization theory based on Mie scattering. Bar code imaging was modeled as binary absorption contrast and scanning resolution in millimeter range was achieved for diffusive layers up to thirty transport mean free path thick. Samples included alumina, porous glass and chicken tissue. Computer simulation was used to study the effect of speckle spatial distribution and observed fractal dimension differences were ascribed to variance controlled speckle sizes. Fractal dimension suppressions were observed in samples that had thickness dimensions around ten transport mean free path. Computer simulation suggested a maximum fractal dimension of about 2 and that subtracting information could lower fractal dimension. The fractal dimension was shown to be sensitive to sample thickness up to about fifteen transport mean free paths, and embedded objects which modified 20% or more of the effective thickness was shown to be detectable. The box counting fractal method was supplemented with the Higuchi data series fractal method and application to architectural distortion mammograms was demonstrated. The use of fractals in diffusive analysis would provide a simple language for a dialog between optics experts and mammography radiologists, facilitating the applications of laser diagnostics in tissues.
The shape of an exoplanet lightcurve is usually obtained by averaging the noise over multiple datasets. Fractal
analysis has been demonstrated to be an effective tool for the detection of exoplanet transits using lightcurves
summed over all wavelengths sensitive to the detector (G. Tremberger, Jr et. al, 2006 Proc SPIE Vol 6265). The
detection of spectral features would depend on the extent to which the signal was buried in the noise. Different
noise sources would have different fractal characteristics. Also, the signal strength could be discontinuous in
time depending on the exoplanet's local atmospheric environment. Such a discontinuity is unlikely to be
detected with time integrated data. The lightcurve noise and shape information were characterized with fractal
dimension analysis of a noise buried time series signal. Computer simulation revealed that when the noise is
three times that of the signal, the fractal algorithm could detect the signal at about the 87% confidence level.
Application to noise buried time series datasets (HD 209458b lightcurve, HD149026b lightcurve) detected
discontinuities consistent with the results obtained by averaging datasets. Extension to individual wavelength
lightcurves would establish a detection limit for the existence of spectral features at wavelengths important for
exoplanet study. Other applications such as pre-implantation genetic screening spectroscopy and spatially varied
aneuploidy bio-data could use the same analysis principle as well.
Images of packaged raw chicken purchased in neighborhood supermarkets were captured via a digital camera in laboratory and home settings. Each image contained the surface reflectivity information of the chicken tissue. The camera's red, green and blue light signals fluctuated and each spectral signal exhibited a random series across the surface. The Higuchi method, where the length of each increment in time (or spatial) lag is plotted against the lag, was used to explore the fractal property of the random series. (Higuchi, T., "Approach to an irregular time series on the basis of fractal theory", Physica D, vol 31, 277-283, 1988). The fractal calculation algorithm was calibrated with the Weierstrass function. The standard deviation and fractal dimension were shown to correlate with the time duration that a package was left at room temperature within a 24-hour period. Comparison to packaged beef results suggested that the time dependence could be due microbial spoilage. The fractal dimension results in this study were consistent with those obtained from yeast cell, mammalian cell and bacterial cell studies. This analysis method can be used to detect the re-refrigeration of a "left-out" package of chicken. The extension to public health issues such as consumer shopping is also discussed.
Breast cancer cells and normal cells were grown on glass substrates and investigated via laser generated
speckles. The optical speckle pattern of a layer was investigated via angular correlation and fractal dimension
analysis. A porous silicate slab with various water contents was used as calibration. The angular correlation and
its associated Fourier transform results were consistent with the property of the cells. The speckle intensity data
can be treated as a random series and the Higuchi method was used to explore the fractal property of the random
series. The fractal dimension results differentiated the cancer cells (fractal dimension about 1.5) from the normal
cells (fractal dimension about 1.8). The Fourier transformed series showed fractal dimension results consistent
with cell functions. A composite of breast cancer/normal cell matrix was built with cancer cell layers embedded
within normal cell layers. The optical speckle pattern of a composite was investigated and computer modeling
was used to extract the embedded cancer cell fractal dimension information. The measurement of the efficacy of
a drug was simulated with the monitoring of the effect of added chemicals in the growth media. Laboratory
optical speckle pattern monitoring of the effect of added chemicals was discussed. The extension for early
cancer detection in mammography was also discussed and an example of the application of the anisotropic
spatial variation of the fractal dimension via the Higuchi fractal method was presented.
Steady state laser light propagation in diffuse media such as biological cells generally provide bulk parameter information, such as the mean free path and absorption, via the transmission profile. The accompanying optical speckle can be analyzed as a random spatial data series and its fractal dimension can be used to further classify biological media that show similar mean free path and absorption properties, such as those obtained from a single population. A population of yeast cells can be separated into different portions by centrifuge, and microscope analysis can be used to provide the population statistics. Fractal analysis of the speckle suggests that lower fractal dimension is associated with higher cell packing density. The spatial intensity correlation revealed that the higher cell packing gives rise to higher refractive index. A calibration sample system that behaves similar as the yeast samples in fractal dimension, spatial intensity correlation and diffusion was selected. Porous silicate slabs with different refractive index values controlled by water content were used for system calibration. The porous glass as well as the yeast random spatial data series fractal dimension was found to depend on the imaging resolution. The fractal method was also applied to fission yeast single cell fluorescent data as well as aging yeast optical data; and consistency was demonstrated. It is concluded that fractal analysis can be a high sensitivity tool for relative comparison of cell structure but that additional diffusion measurements are necessary for determining the optimal image resolution. Practical application to dental plaque bio-film and cam-pill endoscope images was also demonstrated.
Cell parameters such as size and density may provide crucial information on issues such as aging and cancer. Measurement of these parameters in bulk, in a cells natural environment are therefore important. For bulk samples light diffusion measurements using transmission spatial profiles and correlation function analysis provide information on the mean free path, absorption and refractive index. Speckle fractal analysis can also provide cell structure information. For cells in suspension forward scattering is used to provide size information via the Mie theory for spherical objects. Two types of live yeast cells were measured in bulk and in suspension at various densities. The bulk samples were compacted by centrifuge into fractions whose mass and volume was measured. The parameter values obtained by optical diffusion were used to infer the density and size variations. The measurement detected density variation of about 10% for yeast grown under normal conditions. The size variation is also about 10% but it contained more uncertainty due to the constant density assumption used in the Mie theory for spherical objects. High resolution optical microscopy confirmed the cell size and showed that it followed a lognormal distribution. The density variation resulted mainly from size differences with a smaller contribution from mass structure such as protein. The results indicate that diffusion measurement is consistent with density measurement and could possibly be used as a cell density probe in clinical applications.
Chicken tissue acts as a turbid medium in optical wavelength. Optical characterization data of fresh chicken dark and white meat were studied using the theory of light diffusion. The gaussian-like transmission profile was used to determine the transport mean free path and absorption. The refractive index, a fundamental parameter, was extracted via transmission correlation function analysis without using index-matching fluid. The variation in refractive index also produced various small shifts in the oscillatory feature of the intensity spatial correlation function at distance shorter than the transport mean free path. The optical system was calibrated with porous silicate slabs containing different water contents and also with a solid alumina slab. The result suggested that the selective scattering/absorption of myoglobin and mitochondria in the dark tissues is consistent with the transmission data. The refractive index was similar for dark and white tissues at the He-Ne wavelength and suggested that the index could serve as a marker for quality control. Application to chicken lunchmeat samples revealed that higher protein and lower carbohydrate would shift the correlation toward smaller distance. The pure fat refractive index was different from that of the meat tissue. Application of refractive index as a fat marker is also discussed
Short-range speckle correlation techniques were used to measure the refractive index of turbid biological media. The refractive index depends on the cell content, which is about 80% water and 15% protein. The variation in water or protein content produced various small shifts in the oscillatory features of the speckle intensity spatial correlation function for correlation distances shorter than the transport mean free path. Optical diffusion profiles in transmission, and long range speckle intensity correlation techniques were used to measure the transport mean free path. The optical system was calibrated with a porous silicate slab, and live yeast was the biological system studied. It is found that the techniques employed could serve as markers for the cell's water and protein contents. Consistent results were also found for chicken tissue and a combined yeast sample. Extension to abnormal cell detection, and the application to in-situ refractive index mapping are also discussed.
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