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Dissecting spatial patterning and signaling with directional diffusion in spatial multi-omics.

Spatial multi-omics sequencing enables the simultaneous profiling of transcriptomics, proteomics, and epigenomics at a spatial resolution, offering insights into complex tissue organization and molecular regulation. However, the effective integration of multiple omics modalities in a spatial context remains a major challenge. Here, we present SpaDDM, a spatial multi-omics integration framework based on directional diffusion models (DDMs), which supports spatial pattern identification, cross-omics alignment, and inter-and intracellular signaling flow analysis. SpaDDM employs DDM-based graph networks to learn omics-specific representations by jointly incorporating spatial coordinates and molecular measurements within each modality, followed by an attention mechanism to align features across modalities. We benchmarked SpaDDM on diverse spatial multi-omics datasets, including transcriptomics-epigenomics and transcriptomics-proteomics combinations across multiple tissues and species. SpaDDM consistently outperformed existing methods by more accurately deciphering spatial tissue patterns and effectively reducing the boundary noise between spatial regions. Moreover, the learned low-dimensional coembedded representations of individual cells serve as integral mediators for inferring the signaling flows that underlie spatial patterning. Finally, we demonstrated that SpaDDM alignment of complementary information across multi-omics layers facilitates cross-omics translation and significantly improves the prediction of cell state alignments.

Multiomics

Spatial patterns of cells in dividing epithelia.

The spatial patterns of cell boundaries in a view of the apical surface of a dividing epithelium are explored by constructing a hypothetical cell pattern of an epithelium of dividing cells. The two elements specified in the hypothetical pattern are the orientation of division planes and the separation between the division planes in neighbouring cells. The orientations of division planes in one generation are all the same but are orthogonal to those in the preceding generation. The division-plane orientations follow in an orthogonal succession, as happens in early embryos. The division planes in neighbouring cells are offset. The contractions of division planes that would occur during cytokinesis distort existing boundaries creating various types of cell shapes. The patterns generated resemble cell patterns found in life. The hypothetical pattern is regenerative and shows how epithelial cell patterns where cells divide might arise. It has enabled the putative identification of sister cells and first cousins in the embryonic chick chorion.

Animals

Temporal and spatial patterns of expression of laminin, chondroitin sulphate proteoglycan and HNK-1 immunoreactivity during regeneration in the goldfish optic nerve.

Current views suggest that the extracellular environment is critically important for successful axonal regeneration in the CNS. The goldfish optic nerve readily regenerates, indicating the presence of an environment that supports regeneration. An analysis of changes that occur during regeneration in this model may help identify those molecules that contribute to a favourable environment for axonal regrowth. We examined the distribution and expression of two extracellular matrix molecules, laminin and chondroitin sulphate proteoglycan, and a carbohydrate epitope shared by a family of adhesion molecules (HNK-1), using immunocytochemical detection in sections from the normal adult goldfish optic nerve and in nerves from one hour to five months following optic nerve crush. We also used in vitro preparations to determine if neurites in retinal explants could express these same molecules. The linear distributions of laminin and chondroitin sulphate proteoglycan immunoreactivity in control optic nerves are co-extensive with the glia limitans, suggesting both are expressed by non-neuronal components surrounding the axon fascicles. Between one and three weeks postoperatively when axons elongate and reach their target, laminin and chondroitin sulphate proteoglycan immunoreactivity increases around the crush site and distally. At six weeks postoperatively the pattern of immunoreactivity has returned to normal. While the temporal pattern of changes in immunoreactivity is similar, the spatial pattern of these two extracellular proteins in the regenerating nerve differs. Chondroitin sulphate proteoglycan immunoreactivity is organized in discrete columns associated with regenerating axons while laminin immunoreactivity is more diffusely distributed. Examination of retinal explants reveals growing neurites express chondroitin sulphate proteoglycan but not laminin. Our results suggest that laminin is only associated with non-neuronal cells, while chondroitin sulphate proteoglycan is associated with axons as well as non-neuronal cells. HNK-1 immunoreactivity is co-extensive with both the glia limitans and axon fascicles and is more extensively distributed in the intact nerve than either laminin or chondroitin sulphate proteoglycan immunoreactivity. In contrast to laminin and chondroitin sulphate proteoglycan, HNK-1 immunoreactivity is substantially decreased at the crush site within one week following optic nerve crush. HNK-1 immunoreactivity reappears through the crush site during the next several weeks, although non-immunoreactive regions, co-extensive with areas predominantly containing non-neuronal cells, persist both proximal and distal to the crush, up to six weeks postoperatively. The pattern suggests that HNK-1 epitope expression by these non-neuronal cells is decreased during axonal regeneration.(ABSTRACT TRUNCATED AT 400 WORDS)

Animals

Spatial patterns of spinal cord [14C]-2-deoxyglucose metabolic activity in a rat model of painful peripheral mononeuropathy.

Spatial patterns of spinal cord glucose metabolic activity were examined in unanesthetized rats with painful peripheral mononeuropathy produced by sciatic nerve ligation (chronic constrictive injury, CCI). Spinal cord metabolic activity was assessed 10 days after nerve ligation by using the fully quantitative [14C]2-deoxyglucose technique. This technique allows simultaneous examination of both neural activity inferred from local glucose utilization and its spatial distribution in multiple spinal regions previously implicated in nociceptive processing. Rats used in the experiment exhibited thermal hyperalgesia to radiant heat applied to the hind paw ipsilateral to nerve ligation and behaviors indicative of spontaneous pain. Sciatic nerve ligation produced a significant increase in spinal cord metabolic activity in four sampling regions (laminae I-IV, V-VI, VII and VIII-IX) of lumbar segments compared to sham-operated rats. The pattern of altered metabolic activity in CCI rats presented 3 distinct features. (1) The spinal cord grey matter both ipsilateral and contralateral to nerve ligation exhibited substantial increases in metabolic activity compared to sham-operated rats. (2) This increase in metabolic activity was somatotopically specific, i.e., higher metabolic rates were observed on the side ipsilateral to nerve ligation than on the contralateral side, and higher metabolic rates were seen in the medial portion of the ipsilateral spinal cord dorsal horn than in the lateral portion. The peak metabolic activity occurred in laminae V-VI of CCI rats, a region involved in nociceptive processing. (3) The increase in spinal cord metabolic activity of CCI rats extended from lumbar segment L1 to L5 in all 4 sampling regions. The substantial increase in metabolic activity in both the ipsilateral and contralateral spinal cord that occurs over an extensive rostro-caudal area in CCI rats may represent a unique pattern of spinal cord metabolic activity distinct from that observed in rats exposed to acute thermal pain. This pattern of spinal cord neural activity in CCI rats may reflect possible radiation of neuropathic pain. In addition, the procedure of curare-induced paralysis in a separate group of CCI rats did not change the extent and patterns of metabolic activity seen in non-paralyzed CCI rats, reflecting a minimal influence of the afferent feedback from flexor motor reflexes on spinal cord metabolic activity following sciatic nerve ligation. This chronic increase in spinal cord neural activity in the absence of overt peripheral stimulation suggests a spinal cord hyperactive state and may account for behaviors suggestive of spontaneous pain in CCI rats.(ABSTRACT TRUNCATED AT 400 WORDS)

Animals

[Spatial pattern and consequences of demographic aging processes for regional planning].

The spatial dimension of man-environment interactions in old age is analyzed within urban, suburban, and rural residential environments of the German Rhine-Main-Agglomeration. By comparing the three levels of organization, utilization, and interpretation, housing conditions as well as geographical distribution and redistribution (migrations) our outside-home-activities and environmental perception show a fundamental influence on the everyday lives of the 750 elderly who were interviewed. The majority of the target population and, especially, the rural elderly is characterized by traditional patterns of spatial organization and distribution, mobility, regional attachment, and a concern about preserving the stability of their current residential environment from changes. The suburban and urban seniors, however, exhibit a greater amount of locational flexibility and utility-oriented behavior patterns. These spatial variations are induced by specific regional values and intensity of local and regional identification. They might be interpreted as different stages in the process of modernization within postindustrial societies. Reflecting, however, the paradigms of planning for the elderly, these different patterns are not systematically considered to the necessary and sufficient extent. Instead of promoting regional or local networks that are favored by senior citizens, agencies usually prefer comprehensive approaches on a macrolevel. First steps to improve this situation and to combine life- and system-world demands have been taken by the federal government, which implemented a neighborhood-related research program on housing for the elderly. As a result of this, further research on environmental aspects on aging should pay more methodological attention to the hitherto neglected regional and local level, and also for the transfer of its findings into planning policy.

Aged

Spatial patterning of response to odors in the peripheral olfactory system.

The low odor specificities of the olfactory receptors suggest that odor recognition depends on the simultaneous activity in an ensemble of receptor neurons. This ensemble could conceivably code quality without reference to the point of origin of each input on the receptor sheet. However, the nose-to-bulb projection appears sufficiently precise to provide the bulb with a topographical map of the receptor sheet although it is poorly delineated in the anteroposterior plane. (It is also known that the morphological changes that follow prolonged exposure to odors are more differentiated in the coronal than in the anteroposterior plane.) Furthermore, it is clear from work at both epithelial and bulbar levels that a spatiotemporal pattern of excitation is generated by odor stimulation of the receptor sheet and that this pattern differs for different odors. This evidence, then, supports the view that there is a spatial component to odor quality coding. This spatial pattern has two elements. One is imposed and depends (at least in part) on differences in the retentivity of different odorants by the mucous sheet, which has powerful sorptive properties. It effectiveness seems particularly weak for odorants with relatively long retention times. The second component is inherent and depends on the tendency of receptors with similar peak odor specificities to aggregate in the same region (or regions) of the epithelium. Different odors or groups of odors maximally excite different regions, which may overlap. The imposed component could not, in itself, provide an adequate mechanism for odor recognition, partly because many compounds have comparable or even identical mean retention times (e.g., enantiomeric isomers). The inherent component, on the other hand, possesses this potential. However, either or both forms of patterning may cooperate with a third nonspatial mechanism (based on differential responsiveness of receptors to different odors) in coding odor quality.

Animals

Capillary spatial pattern and muscle fiber geometry in three hamster striated muscles.

Since most oxygen exchange in muscle is thought to occur by diffusion across the walls of capillaries, it is important to determine the spatial relationship between capillaries and muscle fibers. We have extended the work of Kayar et al. (Microvasc. Res 24: 326-341, 1982) to include other statistical tests that allow one to make stronger statements regarding the spatial pattern. Data for hamsters were obtained from two sartorius, three retractor, and five soleus muscle sections. Distances between all pairs of capillaries, distances between a capillary and its first nearest neighbor for all capillaries, and distances between random tissue sample points and the closest capillary were used to test the spatial arrangement of capillaries. The null hypothesis tested of complete spatial randomness of capillary locations was rejected in favor of a regular alternative in one each of the sartorius and retractor fields and in all five soleus fields. We formulated a geometric model, composed of a space-filling array of identical hexagonal muscle fibers with capillaries placed randomly at the juncture of three fibers or between two fibers, according to the observed relative probability of those occurrences. The model simulations of muscle fibers and capillaries were then analyzed by the same statistical tests used on the histological sections. The findings were similar in both cases, providing confidence that the assumptions of the model were sufficient approximations. The results of this study provide a basis for the placement of capillaries around muscle fibers in mathematical models of oxygen transport in capillary networks.

Animals

High reliability rates of spatial pattern analysis by vectorcardiogram in assessing the severity of eccentric left ventricular hypertrophy.

In 33 patients, including 12 control subjects and 21 with eccentric LVH, LV mass determined by angiocardiogram was correlated to 26 VCG measurements (Frank system) calculated from the scalar X, Y, and Z leads. The results demonstrated that the most reliable indices of VCG in assessing the severity of eccentric LVH determined by angiocardiogram were the magnitude of the spatial mean QRS vector and the time of the spatial maximal QRS vector ("spatial VAT"), of which correlation coefficients were 0.93 and 0.93, respectively. Such high correlation coefficients have never been obtained with the usual ECG analysis. These findings strongly suggest that (1) increased QRS voltage and usual prolonged QRS duration in eccentric LVH are due to an increase in LV mass, and (2) prolonged VAT observed in eccentric LVH is closely related to an anatomic alteration, namely, the greater distance of intra-ventricular conducting pathways as the result of LV dilatation, as an increase in LV mass is usually paralleled by the grade of the chamber enlargement in this type of LVH. Regarding the T loop, correlations between the LV mass and the VCG measurements were less as compared to those of the QRS loop. In general, T changes in moderate or severe LVH may be also related to a certain altered cardiac muscle state, in addition to an increase in LV mass. Angiocardiographic and light microscopic findings of a patient with eccentric LVH in whom a widened QRS-T angle was demonstrated to an extent much more than that expected with an increase in LV mass are presented and discussed. The spatial pattern analysis by VCG is very useful and reliable in assessing the severity of eccentric LVH.

Adolescent

The spatial pattern of the synaptic vesicular apparatus as a correlate of transmitter storage models.

A statistical stereological approach which allows one to derive a three-dimensional pattern of synaptic vesicle accumulation in relation to the active zone from an analysis of electron micrograms (random sections) of synapses is described. This approach is illustrated with a study of presynaptic terminals from the dorsal horn of the cat spinal cord, based on the morphometrical treatment of 105 micrographs containing 5190 synaptic vesicles. The spatial pattern obtained was found to have a bimodal shape, which can be considered a possible structural correlate of the two-pool model of transmitter storage. The connection of similar quantitative estimates with physiological data is discussed.

Animals

Establishment and maintenance of stable spatial patterns in lacZ fusion transformants of Polysphondylium pallidum.

Polysphondylium pallidum cells were transformed with a construct containing the Dictyostelium discoideum ecmA promoter fused to a lacZ reporter gene. Two stably transformed lines, one in which beta-galactosidase (beta-gal) is expressed in apical cells of the fruiting body (p63/2.1), and one in which it is expressed in basal cells (p63/D), have enabled us to infer how cells move during aggregation and culmination. Several types of cell movement proposed to occur during slime mold culmination, such as random cell mixing and global cell circulation, can be ruled out on the basis of our observations. Cells of the two transformant lines express beta-gal very early in development. In both cases, stained cells are randomly scattered in a starving population. By mid to late aggregation, characteristic spatial patterns emerge. Marked cells of p63/2.1 are found predominantly at tips of tight aggregates; those of p63/D accumulate at the periphery. These patterns are conserved throughout culmination, showing that marked cells maintain their relative positions within the multicellular mass following aggregation. Neither the apical nor the basal pattern appears to be regulated within the primary sorogen by de novo gene expression or by cell sorting as whorls are formed. However, marked cells within a whorl re-establish the original pattern in secondary sorogens. This must be achieved by cell migration, since beta-gal is not re-expressed.

Cell Movement

Neuronal competition determines the spatial pattern of neuropeptide expression by identified neurons of the leech.

Staining adult and embryonic leech ventral nerve cords with antibodies raised against the molluscan neuropeptides small cardioactive peptide B (SCP) and FMRFamide results in segment-specific and bilaterally asymmetric patterns of cell staining. One immunoreactive neuron, the RAS interneuron, is present in only four rostral segmental ganglia, while another, the CAS interneuron, is restricted to the four most caudal abdominal ganglia and tail. In addition to their segment-specific distributions, only one RAS or CAS cell is found in each segmental ganglion, and they alternate sides between adjacent ganglia (either L-R-L-R or R-L-R-L) with a fidelity of about 95%. This paper utilizes cell deletion techniques to investigate the determination of the asymmetric and alternating pattern of RAS and CAS neurons. We show that developmentally equivalent RAS and CAS homologs are present on both sides of the appropriate ganglia, and that within each ganglion one of the initially paired homologs loses the ability to assume the immunoreactive RAS or CAS fate 2-3 days after axonogenesis has begun. These experiments suggest that there is a competitive interaction between bilateral homologs which ensures that only one mature RAS/CAS neuron is formed per ganglion, and that contralateral RAS/CAS neurons are not required in the same or adjacent ganglia for the determination of the RAS or CAS developmental pathways. Nerve cord transections between ganglia in the CAS domain can alter the spatial pattern of CAS neuron determination, confirming that both bilateral homologs retain the ability to express neuropeptide until late embryonic stages, and suggesting that the alternating pattern of RAS/CAS cells requires communication between adjacent ganglia through the longitudinal connectives.

Animals

Temporal and spatial patterns of proto-oncogene expression at early stages of toxic liver injury in the rat.

Sequential and transient expression of c-fos, c-jun, c-myc, c-Ha-ras and c-Ki-ras proto-oncogene RNA transcripts with zonal heterogeneity was demonstrated in virtually all hepatocytes of adult rat liver by in situ hybridization with single-stranded, [35S]-labeled cRNA probes at various time points after intraperitoneal administration of a single dose of carbon tetrachloride (CCl4). After a brief interval, elevated RNA levels of these genes were also observed in nonparenchymal cells. A second phase of proto-oncogene expression was characterized by high RNA levels in only a fraction of parenchymal cells with preference of mediolobular areas. Distribution and number of these cells were comparable tl hepatocytes expressing the proliferation-associated nuclear antigen Ki-67 72 hours after toxic injury. Oncogene expression in the nonparenchymal compartment correlated with distinct morphologic changes preceding type I procollagen gene expression by desmin-positive perisinusoidal cells, accumulating together with numerous c-fms expressing cells in the areas of hepatocellular necrosis. We conclude that zonal hepatic destruction by carbon tetrachloride induces proto-oncogene expression with distinct temporal and spatial patterns initiated by the most severely damaged hepatocytes. Proto-oncogene products thus represent valuable markers of cellular activation preceding and accompanying various aspects of tissue repair reactions.

Animals

Do focal neocortical lesions hamper short-term recognition of visual spatial patterns?

A hundred and forty-three patients with focal - mainly neocortical - hemiphere-damage (subdivided in 4 groups according to the side of the damaged hemisphere and the presence/absence of visual field defect) and 70 controls, were given a 20-sec delay recognition test of complex spatial visual patterns. There was one free delay condition and two conditions with interference from visual material of either similar or quite dissimilar patterns to that of memoranda. The results provided by two co-variance analyses are: (i) the comparison of the hemisphere-damaged groups with controls show a significant memory decay of both right groups only when there was perceptual interference from similar patterns; (ii) the comparisons between hemisphere-damaged groups fail to elicit any significant difference in the three memory conditions. There appears to be no specific neocortical area involved in the first steps of memory processing of spatial informations and the interference engendered by interpolated perceptual activity is material-specific.

Adult

"Chess-board pattern" spatial modulation of magnetization. Assessment of myocardial function.

Heart motion is a complex combination of translation, rotation, and concentric contraction. Evaluation of these complex motions has been difficult using conventional slice-selective methods. Noninvasive tagging of the heart has been obtained by the use of slice-selective radiofrequency pulses. Through spatial modulation of the magnetization the entire image can be labeled in different patterns. Two new pulse sequences are presented, giving a chess-board like spatial modulation. These pulse sequences have several advantages compared with the previously published methods, as the modulation time is half that required to obtain a 2-dimensional grid, the area in the image with high signal intensity was significantly larger, and the radiofrequency power deposition was substantially decreased. By labeling the heart at diastole the chess-board pattern tagging of the heart wall could be followed through systole. Using this method the complex motions of the heart can be mapped.

Computer Simulation

Expression of two members of the Wnt family during mouse development--restricted temporal and spatial patterns in the developing neural tube.

The Wnt gene family encodes a group of cysteine-rich proteins implicated in intercellular signaling during several stages of vertebrate development. This family includes Wnt-1 and Wnt-3, both discovered as activated oncogenes in mouse mammary tumors. Here we describe the molecular cloning of an additional member of the Wnt family, called Wnt-3A, and the spatial and temporal expression pattern of this gene as well as that of its close relative Wnt-3. The putative amino acid sequences of both proteins are almost 90% identical, but in situ hybridization to mouse embryo sections showed highly restricted patterns of expression of Wnt-3 and Wnt-3A, largely in separate areas in the developing nervous system. In the spinal cord Wnt-3 was expressed at low levels in the alar laminae and in the ventral horns, whereas Wnt-3A expression was confined to the roof plate. In the developing brain Wnt-3 was expressed broadly across the dorsal portion of the neural tube with a rostral boundary of expression at the diencephalon. In contrast, Wnt-3A was expressed in a narrow region very close to the midline; expression extended into the bifurcating telencephalon, in a highly localized fashion. Both Wnt-3 and Wnt-3A were expressed in the ectoderm, and Wnt-3A was also expressed in the periumbilical mesenchyme. Characteristic expression patterns of these two closely related genes suggest that Wnt-3 and Wnt-3A play distinct roles in cell-cell signaling during morphogenesis of the developing neural tube.

Amino Acid Sequence

Temporal and spatial patterns of transin/stromelysin RNA expression following toxic injury in rat liver.

We have examined the expression of the extracellular matrix-degrading metalloprotease transin/stromelysin during the early phases of rat liver regeneration following toxic injury by a single dose of carbon tetrachloride (CCl4). In situ hybridization displayed cell type-specific spatial and temporal RNA expression patterns with high transcript levels in small proportions of hepatocytes and non-parenchymal cells, peaking at 24 and 48 h after intoxication, respectively. In agreement with the presence of c-fos and c-jun recognition sites on the transin gene, expression of these oncogenes preceded transin expression. Transin-expressing hepatocytes were largely localized in areas subsequently eliminated by necrosis due to CCl4 intoxication. As a consequence of these expression patterns and the key function of transin as an activator of interstitial collagenase, it seems that the hepatic fibrosis observed after CCl4 administration may be related to fibrogenesis unbalanced by fibrolysis due to altered transin expression.

Animals

Regulatory elements from the related spec genes of Strongylocentrotus purpuratus yield different spatial patterns with a lacZ reporter gene.

The Spec1 and Spec2 genes of Strongylocentrotus purpuratus are closely associated with the differentiation of aboral ectoderm. To examine cis-regulatory elements involved in the spatial expression of the Spec genes, we fused the Escherichia coli lacZ gene containing a nuclear targeting signal to 5'flanking DNA plus 5' untranslated leader sequences from Spec1, Spec2a, and Spec2c. All three genes contain 700 bp of highly conserved DNA in their upstream regions, but in Spec1 and Spec2c large insertions interrupt the conserved regions. The Spec-lacZ reporter gene plasmids were microinjected into eggs of S. purpuratus, Lytechinus variegatus, and L. pictus, and beta-galactosidase activity was determined in situ by X-gal staining. The Spec2a-lacZ fusion gene, which contained 1516 bp of 5' flanking DNA and 18 bp of 5' untranslated leader sequence, was preferentially expressed in aboral ectoderm cells in all three species. The Spec1-lacZ fusion gene was expressed in a strikingly different fashion--preferentially in primary and secondary mesenchyme cells, occasionally in aboral ectoderm cells, and less often in oral ectoderm and endoderm cells. The staining pattern was the same in either homologous or heterologous embryos. The Spec2c-lacZ fusion gene, like Spec2a-lacZ, was preferentially expressed in aboral ectoderm, but staining of other cell types was frequently observed. To further delineate sequences required for correct spatial expression, we deleted 800 bp of 5' flanking DNA from the Spec2a-lacZ fusion gene, resulting in a delta Spec2a-lacZ fusion gene that contained only the conserved DNA region. This gene fusion showed preferential expression in aboral ectoderm cells. However, the cell type specificity was not as great as with the parental Spec2a-lacZ plasmid. These experiments implied that the conserved DNA region, associated with all Spec genes examined, was insufficient for complete aboral ectoderm specificity, and suggested that a spatial repressor element existed between -1516 and -697 bp in the 5' flanking DNA of Spec2a.

Animals