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Copyright © 2008, American Medical Informatics Association Modeling Functional Neuroanatomy for an Anatomy Information System aKlinikum rechts der Isar, Technical University of Munich, Munich, Germany bInstitute of Anatomy, University of Lübeck, Lübeck, Germany cInstitute of Medical Biometry und Medical Informatics, Freiburg University Medical Center, Freiburg, Germany Correspondence: Dr. Jörg Niggemann, CompuGROUP Holding AG, Maria Trost 21, D-56070 Koblenz, Germany (Email: joerg.niggemann/at/thoughtblade.com).1Dr Niggemann is currently with CompuGROUP Holding AG, Koblenz, Germany. Received December 29, 2006; Accepted May 4, 2008. Abstract Objective Existing neuroanatomical ontologies, databases and information systems, such as the Foundational Model of Anatomy (FMA), represent outgoing connections from brain structures, but cannot represent the “internal wiring” of structures and as such, cannot distinguish between different independent connections from the same structure. Thus, a fundamental aspect of Neuroanatomy, the functional pathways and functional systems of the brain such as the pupillary light reflex system, is not adequately represented. This article identifies underlying anatomical objects which are the source of independent connections (collections of neurons) and uses these as basic building blocks to construct a model of functional neuroanatomy and its functional pathways. Design The basic representational elements of the model are unnamed groups of neurons or groups of neuron segments. These groups, their relations to each other, and the relations to the objects of macroscopic anatomy are defined. The resulting model can be incorporated into the FMA. Measurements The capabilities of the presented model are compared to the FMA and the Brain Architecture Management System (BAMS). Results Internal wiring as well as functional pathways can correctly be represented and tracked. Conclusion This model bridges the gap between representations of single neurons and their parts on the one hand and representations of spatial brain structures and areas on the other hand. It is capable of drawing correct inferences on pathways in a nervous system. The object and relation definitions are related to the Open Biomedical Ontology effort and its relation ontology, so that this model can be further developed into an ontology of neuronal functional systems. Introduction Functional Anatomy is concerned with anatomical entities grouped together to perform a physiological function. In Functional Neuroanatomy, a typical example is the visual system. Neuroanatomy textbooks are usually illustrated with drawings similar to the ones in Figure 1
A symbolic representation of anatomy—especially for didactic purposes—should represent facts on a comprehensible, but detailed level, and yield output on the level of object names. To this end, we here diligently define both levels, and establish the transition rules between them. The model presented here is derived from an approach that had been implemented in the early anatomy e-learning system “Anatom-Tutor”1 and is put into the context of current ontologies such as the Foundational Model of Anatomy (FMA). Background Representations of Anatomy and Neuroanatomy and Their Respective Focus The organization of the nervous system of various species is currently represented in several large systems. NeuroNames is a nomenclature of human and macaque brain structures, designed as a tool for indexing digital databases of neuroscientific information. It was started in the late 80's as a MacIntosh hypercard stack2 and has since been developed into a web-accessible database.3 Its primary objects are anatomical entities identified by names.4 The Foundational Model of Anatomy (FMA) 5 is a frame-based ontology, originally designed to represent the macroscopic anatomy of the human thorax. It was assumed that this would cover all complexities of anatomy, and in this way the model could later be easily extended to other body areas and to other granularity levels such as cellular and subcellular structures. When incorporating neuroanatomy from NeuroNames, the authors themselves encountered diverse problems with this approach.6–8 The Foundational Model was further enhanced to accommodate so-called input/output relationships in order to represent the flow of information through the nervous system. The corresponding slots “Gets Input From” and “Sends Output To” are, however, not restricted in terms of domain and range constraints. For example, the class “organ region” has this slot. Most neuroanatomical objects are listed under this class, but also others such as “auricle of heart” and “segment of tooth.” Furthermore, it is not distinguishable whether two connections which an object exhibits are collaterals or whether they originate in different populations of neurons within the object. Therefore, an important subfield of neuroanatomy, viz. functional neuroanatomy, which is concerned with pathways and systems, can not readily be represented in the FMA in its current form. Brain Architecture Management System (BAMS)9 and Brainmaps.org 10 are web accessible repositories and digital atlases on neuroanatomy, containing each a compilation from different atlases and for different species. Both contain data on connections, and in both, like in the FMA, collaterals can not be distinguished from axons originating in different neuron populations. Other web accessible anatomy information resources: Kim et al. have recently conducted a review of 40 online resources on anatomy,11 most of them aimed at education. Six of them are dedicated to Neuroanatomy, four of which still in service (see Table A1 in the online appendix, available at http://www.jamia.org). None of them contains explicit information on functional systems. Other recent neuroanatomy teaching systems are Brain Project/3D-Brain 2.012 and BrainTrain.13 Like the other resources cited above, these do not represent neural connections in functional systems. In summary, the aforementioned neuroanatomical systems address nomenclature, hierarchical taxonomy, part-of hierarchy, connections, cytoarchitecture, and different mappings of the cortex. In all of them the primary objects of representation are macroscopic, morphologically-defined anatomical structures. Their main disadvantage is their inability to represent internal subgroups of neurons and their connections, the “internal wiring” of neuroanatomical objects. Formal Ontologies Both terms and relations in an ontology have to be well-defined so that automated reasoning becomes feasible and yields meaningful results (see Smith et al., 2005).14 Recently the Open Biomedical Ontologies (OBO) consortium has compiled the OBO ontology library, a repository of controlled vocabularies developed for shared use across different biological and medical domains. Smith et al.14 reviewed the definition and use of relations in these ontologies and found, that even the most basic relations part-of and is-a are not always used in consistent fashion both within and between ontologies. The authors then proceeded to define an “ontology of relations,”15 which we will use here as a starting point. Defining Anatomical Objects as Counts, Collections, Mass, etc The idea proposed in this paper is to define the basic concepts of functional neuroanatomy in terms of groups of uniform objects. This idea is related to the works of Bittner, Rector et al.,16–18 who suggested the description of the relation between collectives of uniform objects and each of their single constituents as has-granular-part, a subrelation of has-part. Functional Anatomy Johansson et al.19 have introduced “pure structural anatomy” and “pure functional anatomy” as perspectives on anatomy. They argue that there are two ways to draw boundaries between spatial parts of the body: structural and functional. About the functional parts the authors state: “A part-of relation between such spatial-functional entities goes parallel to a sub-function relation among the functions associated to the spatial-functional entities”. Niggemann20 outlined a similar perspective with respect to neuroanatomy, from the point of view of knowledge representation. He argued that the spatial dimension is not even necessary in order to define a “functional object” (however, this topic is beyond the scope of this article). Example: The Visual System Our model is introduced using the visual system as an example. We concentrate on the reflex systems of the pupillary light reflex and the accommodation reflex (Fig 1 The sentence “The parvocellular oculomotor nucleus sends output to the ciliary ganglion” is correct in both reflexes, but this information alone is not sufficient to distinguish between the two reflex arcs. We need a way to represent different connections within the structures, such as they are depicted in Fig. 1 Model Formulation The model we are proposing addresses specific aspects of Neuroanatomy. This model is meant to be useful under many perspectives: both on an instance (token, individual, particular) and a class (type, concept, universal) level, and—from a philosophical perspective—both under a “conceptualist” and a “realist” point of view. The model of anatomical groups is introduced in an atemporal way, as we intend to model one idealized, prototypical, “normal” instance of a human nervous system at one specific point in time. This is the perspective taken e.g., in anatomical atlases, which introduce general “classes” such as “flat bone” but then describe every bone in the body as one instance of such a class. We introduce the terms group and individual with the relations has-member and member-of. From the OBO relations ontology15 we choose the following ones as primitive relations in our model: part-of, located-in, adjacent, instance-of, is-a. (New terms which we introduce as names of classes/universals are printed in small caps, such as Functional-Group. We consider relations netween instances only, they are printed in italics.) Analyzing the Underlying Structures In order to express “groups of neurons” and “groups of neuron parts,” we start with a brief inspection of the underlying particulars, the neurons themselves. We do this on the “cell” and “subcellular” levels of granularity. Here we look at a neuron and its relevant segments, and then define the basic relations of adjacency and efference. Afterwards, we can transpose these definitions into the higher granularity level of groups, which lies between the “cell” and the “tissue” granularity levels. Nerve cells (neurons) are the individual information processors of the neural system. Figure 2
Definition (R-Segment, Fiber-Segment)
This definition is needed when we want to express the meaning of sentences like: “The fibers originating in the retina run through the optic nerve”. This can be translated as “Each of the fibers has some Fiber-Segment as part which is spatially located-in the optic nerve”. Definition (Neuron-Structure)
Relations Between Neuron-Structure The relations between the cell-structure-level objects serve as an orientation for defining relations between group objects. Definition (Efferent-to, Afferent-to, Direct-efferent-to, Direct-afferent-to) Neuron-Structures pass electrical excitation:
From Neuron-Structures to Groups Now the transition is made from Neuron-Structure to groups. To achieve this, we will define an equivalent in the group level for each object and each relation on the Neuron-Structure level (Fig. 3
Functional-Group is the common subsumer of all groups that can be derived from the Neuron-Structure defined above, together with groups of neurons themselves. It can be defined more generally by use of the criteria of a common connection pattern or participation in a common function. Fig. 4
Definition (Functional-Group) A Functional-Group is a collection of neurons or neuron segments of the same type, such that:
A Functional-Group is therefore a kind of “ObjectAggregate” as defined in the Basic Formal Ontology (BFO)21,22 as “An independent continuant that is a mereological sum of separate objects and possesses non-connected boundaries”. Similarly, the definition of Functional-Group is consistent with Simons' notation of “group.”23 Relations between Functional-Groups We define two sets of relations between Functional-Groups. One describes relations with respect to signal conduction, the other with respect to their members. Definition (Relations with Respect to Connections) The same relations that are defined for Neurons and Neuron-Structure can be used between Functional-Groups:
Definition (Mereological Relations)
Subclasses of Functional-Group Definition (Group of Complete Neurons: Neuron-Group)
Definition (Group of Cell-Bodies: Cell-Body-Group)
Definition (Group of Fibers: Fiber-Group)
On the group level like on the Neuron-Structure level we need to define a smallest (functional) segment of a Fiber-Group. We derive this from the smallest (functional) segment of a fiber, the R-Segment. So we can define: Definition (Group of R-Segments: Atomic-Fiber-Segment-Group)
Definition (Group of Fiber-Segments: Fiber-Segment-Group)
The example used in the definition of Fiber-Segment can be reformulated using Fiber-Group: “The Fiber-Group originating in the retina runs through the optic nerve”, with the interpretation that there is a Fiber-Segment-Group which is part of the Fiber-Group and which is spatially located-in the optic nerve. Definition (Group of terminals: Terminal-Group)
The Level of Macroscopic Objects The goal for a readable output of an anatomy information system is to transform the fact “The neural excitations which contribute to the right pupillary light reflex are conducted via cbg1, cbg2, cbg3 …” (following efferent-to relations between Cell-Body-Groups) into the sentence: “… conducted via: right temporal retina, right lateral geniculate corpus, …”. That means we have to replace the unnamed Cell-Body-Groups with named anatomical objects. In order to make the transition from the level of groups to the level of macroscopic, named anatomical objects, we need to define the kind of objects that are candidates for “named anatomical objects” in this context. Definition (Macroscopic-Neuroanatomical-Entity)
(An object occupies a connected space if for every two spatial points A and B within the object there exists a path from A to B which is entirely in the object). Relations of Macroscopic-Neuroanatomical-Entities In the scope of this article, the only interesting relation between Macroscopic-Neuroanatomical-Entities is part-of/has-part. As mentioned above, we consider this to be a primitive relation. We now define located-in as a relation between Functional-Groups and Macroscopic-Neuroanatomical-Entities. We define the relation through the group's members, whose location in the respective object can be microscopically verified. Definition (Located-in as Relation between Functional-Group and Macroscopic-Neuroanatomical-Entity)
Now we can proceed to reconstruct the FMA relation sends-output-to between Macroscopic-Neuroanatomical-Entities. Definition (Receives-input-from, Sends-output-to)
Validation through Example Proof of Completeness, Correctness, Novelty and Advantage In this section we will prove that the Functional-Group model is a valid and useful extension to models such as the FMA or BAMS. We use the example of the visual system to illustrate the steps of the proof. Claim: Augmenting a current model such as the FMA with the Functional-Group model
In order to prove that the Functional-Group model can indeed add functionality to current models, we choose the FMA as an example and take the following steps:
The complete proof is given in the online appendix. Here we outline the main steps. 1. Transformation of the FMA into a Functional-Group enhanced format The transformation mainly involves
The result is illustrated in Fig. 5
Completeness: As we have only added classes, nothing is lost in this step. The original information in the “Sends Output To” links can be recovered, proving that no information is lost. Correctness: As outlined in section IV, the new classes by design correctly reflect anatomical entities. Since the procedure introduces new objects (the individual Functional-Groups and their relations), we must prove that these reflect anatomical reality. It is a fundamental truth in neuroanatomy, that every neuronal signal
Therefore it is a valid conclusion that each “Sends Output To” relation implies the existence of such structures, and it is correct to represent them explicitly. In summary, we have shown that the Functional-Group enhanced FMA (with no additional information added) and the original can be mutually transformed into each other. This proves claim 1, that no information is lost in the transformation process. Also we have shown that the enhanced model correctly reflects anatomical reality. 2. Adding new information The Functional-Group enhanced FMA now allows collators to add new information which wasn't possible in the original model. In this section we have to prove that the same information cannot be stored in the current FMA (novelty) and that it is useful (advantage). 1. “Internal wiring” In this step, decisive new information can be added which makes the Functional-Group model so effective. It is the step from Fig. 5 Novelty: By design of the FMA, internal connections within an object cannot be represented. This is because connections are not objects themselves, they are just attributes of the macroscopic anatomical objects. In the extension however, the connections are represented by objects within the macroscopic anatomical objects (Functional-Groups) which can again be linked to each other (direct-efferent-to). Therefore, internal connections within a macroscopic anatomical object can only be represented in the extension. Advantage: Representing internal connections is a basic step for distinguishing known pathways from candidate pathways (see next paragraph). 2. Known Pathways and Functional Systems The Functional-Group extension allows one to distinguish between complex known pathways and candidate pathways, and to represent complete functional systems such as the accommodation reflex system as in Fig. 1 Novelty: In current models such as FMA or BAMS, candidate pathways can be generated by recursively following “Sends Output To” links. It is not guaranteed that these candidates represent any anatomical or physiological reality. In contrast, the addition of the “internal wiring” of direct-efferent-to links between Terminal-Groups and Cell-Body-Groups where these are known, allows the enhanced model to discern different functional systems. Advantage: Known pathways can be represented and can be searched and followed, and they can be discerned from candidate pathways. One of the most important kind of entities in functional neuroanatomy, functional systems, can now be represented. A detailed example of how the system follows a known pathway is given in section “Following pathways in the Functional-Group model versus FMA and BAMS” in the online appendix. 3. “White matter” pathway information The resulting pathway structures can also represent the path that a connection takes through “white matter” structures (those that primarily contain axons or parts thereof). Fig 1 Novelty: The “Continuous With” relation of the original FMA is not constrained to objects of neuroanatomy; it is also used to link blood vessels, tendons etc. Therefore, the “white matter” pathway information can only be correctly represented using the Functional-Group extension. Advantage: An anatomical information system containing this information can be used to reason about and to teach structure-function relationships such as consequences of lesions to white matter structures. In summary, we have shown that the Functional-Group extended FMA can store information and draw conclusions, which the design of the original FMA does not allow. This proves claim 2 and completes the proof that the Functional-Group model is a valid and useful extension of the FMA. Discussion The Functional-Group model has been designed to address the topology of neural connections as a specific aspect of Neuroanatomy. So far we have presented a basic form of the model. Three aspects need further attention: The usability of the model with incomplete information, the specific phenomenon of the cross-connection of pathways, and the addition of more aspects of neuronal connections such as the transmitters involved. Use with Incomplete Information, and Aggregation of Scientific Results The steps described in the section “Validation Through Example” illustrate how incomplete information is handled: when embedded in a “host system” such as the FMA, it is first set up to reconstruct that system's “Sends Output To” information. That information is necessarily incomplete because information about internal wiring is lacking. In this stage, candidate pathways are found by assuming links from every incoming to every outgoing connection of an object. When scientific results about internal connections become available, these can be added to the model as described in the step “Adding new information,” thus enabling the model to represent known pathways and distinguish those from candidate ones. The Cross Connection of the Pathways Bright light causes a constriction of the pupil but not simultaneously an accommodation reaction. However, looking at nearby objects also leads to a constriction of the pupil. This observation is a subject matter of physiology and, as such, not directly represented in a neuroanatomical model. Together with the general axiom that in the nervous system there is no function without connection, we can conclude that “there is some connection from at least one Cell-Body-Group involved in the accommodation pathway to at least one other that is involved in the pupillary reflex pathway”. This first-order logic statement can not be represented in the Functional-Group model (nor can it be represented in one of the other models mentioned). As soon as it is known which Macroscopic-Neuroanatomical-Entity contains this cross connection, the situation can be modeled, for example by adding a collateral from an incoming connection belonging to the accommodation reflex to the Cell-Body-Group of the pupillary light reflex, or by establishing other internal wiring as the scientific results suggest. Scope and Possible Extension: More Detailed Description of Signal Transmission Apart from the visual system, this approach has been successfully tested with representations of the vestibular system, the auditive system, the accessory optical system, long corticofugal tracts of the motoric systems, the extrapyramidalmotoric system, the central limbic continuum, ascending reticular tracts, efferent connections of the cerebellum and thalamo-cortical connections. In its basic form, as presented here, the model only represents the “bare” connections from terminal to target cell. It does not represent dendrites, different kinds of synapses, or different neurotransmitters. In a more advanced form, our model can be expanded to cover such details. The existing objects can then be enriched with attributes such as “adrenergic,” and new intermediate objects can be introduced between synapse and target cell bodies in order to represent dendrites. Further extensions can express characteristics of signal conduction in the fibers and modulations thereof by axo-axonal synapses. Conclusion We have proposed a model based on groups of cells or cell parts, which serves to represent neuronal connections between brain structures in more detail than it has been thus far possible. The model is capable of drawing valid inferences on pathways in a nervous system. In combination with an ontology of functions, the group-oriented model of functional neuroanatomy can be the starting point for a comprehensive ontology of functional pathways in nervous systems, and can thus augment the Foundational Model of Anatomy when used in an anatomy information system. Acknowledgments The authors thank Dr. Reinhard Eggers (Department of Anatomy, University of Luebeck) for valuable discussions of neuroanatomical details. The groundwork for this article was partly funded by a fellowship of Deutsche Forschungsgemeinschaft (DFG) and by the German Ministry of Science and Technology (BMFT) under contract ITW 9106. The authors also thank the anonymous reviewers for valuable discussions and hints. References 1. Niggemann J, Beaumont I, Brückner R, Paul V. Anatom-Tutor—das wissensbasierte Ausbildungssystem zum Einsatz im Studentenunterricht Annals of Anatomy 1994;176(Suppl):247. 2. Martin R, Dubach J, Bowden D. NeuroNames: human/macaque neuroanatomical nomenclature Fourteenth Annual Symposium on Computer Applications in Medical Care. Los Alamitos, CA: IEEE Computer Society Press; 1990. pp. 1018-1019. 3. Braininfo [homepage on the internet]Washington: Neuroscience Division, National Primate Research Center, University of Washington; c2007 [updated 2007; cited 2007 Mar 20]http://www.braininfo.org 1990. accessed Mar 20, 2007. 4. Bowden D, Martin R. Neuronames Brain Hierarchy Neuroimage 1995;2(1):63-83. 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Neuroimage. 1995 Mar; 2(1):63-83.
[Neuroimage. 1995]Neuroinformatics. 2005; 3(1):15-48.
[Neuroinformatics. 2005]Clin Anat. 2003 Jan; 16(1):55-71.
[Clin Anat. 2003]Stud Health Technol Inform. 2001; 81():434-9.
[Stud Health Technol Inform. 2001]Stud Health Technol Inform. 2005; 111():378-84.
[Stud Health Technol Inform. 2005]Genome Biol. 2005; 6(5):R46.
[Genome Biol. 2005]Acta Biotheor. 2005; 53(3):153-66.
[Acta Biotheor. 2005]Stud Health Technol Inform. 2004; 102():20-38.
[Stud Health Technol Inform. 2004]