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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Building a Biomimetics Core Ontology using OBO Foundry Principles</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Dilek Yargan</string-name>
          <email>dilek.yargan@uni-rostock.de</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Ludger Jansen</string-name>
          <email>ludger.jansen@pthsta.it</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>PTH Brixen College</institution>
          ,
          <addr-line>Piazza Seminario 4, 39042 Bressanone</addr-line>
          ,
          <country country="IT">Italy</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>University of Rostock, Institute of Philosophy</institution>
          ,
          <addr-line>18051 Rostock</addr-line>
          ,
          <country country="DE">Germany</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2025</year>
      </pub-date>
      <abstract>
        <p>Biomimetics is an interdisciplinary research area that analyses biological phenomena to develop innovative technical solutions. It requires connecting and reasoning about diverse bodies of knowledge from both biology and engineering. However, existing semantic resources fall short of the requirements for a full-blown domain ontology. To address this gap, we used the OBO Foundry Principles to develop a core ontology for biomimetics. The resulting core ontology is based on the Basic Formal Ontology (BFO) and aligns with the OBO Foundry ecosystem. It is intended to serve as a semantic backbone for biomimetic research and future biomimetic application ontologies in academia and industry. We suggest definitions for central classes and populate them with the classes of existing OBO Foundry ontologies. The ontology is implemented in OWL and available online.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;biomimetics</kwd>
        <kwd>core ontology</kwd>
        <kwd>function</kwd>
        <kwd>biological model</kwd>
        <kwd>biologically inspired design</kwd>
        <kwd>OBO Foundry 1</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        Biomimetics is an interdisciplinary research area that analyses biological phenomena to develop
innovative technical solutions. It has been defined as the endeavour to find innovative
engineering solutions “through the abstraction, transfer, and application of knowledge gained
from biological models” [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. As such, biomimetics focuses on (i) biological entities, (ii) technical
artefacts, (iii) biological strategies, and (iv) the natural laws and principles behind these
strategies. In other words, it requires connecting and reasoning over diverse bodies of
knowledge from both biology and engineering. For some time, there has been considerable
research interest in using computer-aided methods to support biomimetic research processes
[
        <xref ref-type="bibr" rid="ref2 ref3">2, 3</xref>
        ]. As we have shown in a previous paper, existing semantic tools/resources fall short of the
requirements for a full-blown domain ontology [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ].
      </p>
      <p>To address this gap, we used the principles for ontology development provided by the Open
Biological and Biomedical Ontologies (OBO) Foundry to develop a core ontology for
biomimetics. The resulting ontology is based on the Basic Formal Ontology (BFO) and integrates
into the OBO Foundry ecosystem. This ontology can serve as a semantic backbone for the
biomimetic research and development process and future biomimetic application ontologies in
academia and industry. For instance, it could be used to support design projects or literature
research by introducing a machine-readable representation and knowledge integration across
different biomimetic applications.</p>
      <p>
        What we present here is very much a work in progress. The current version of the ontology
is intended to annotate biological models, technical artefacts, and working principles, which we
discuss accordingly. Ultimately, the intended use cases include establishing a lingua franca in
biomimetics and annotating biological and technical data with biomimetics metadata. To
illustrate this, we can use the well-known Velcro© hook-and-loop fastener [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ], which was
developed by the French engineer George de Mestral after he observed that burdock seeds stuck
to woolen socks and the fur of his dog. To describe this biomimetic product from an ontological
point of view, we should identify: the technical artefact, its intended function, the biological
model, the so-called working principle (or dispositions) that fulfils this intended function, and
the process which realises both the disposition of the biological model and the function of the
Velcro© tape. All these entities could be represented in structured data and queried. The
ontology should support answering questions like the following:
•
•
      </p>
      <sec id="sec-1-1">
        <title>Which organisms provide biological models for a certain technical function?</title>
        <p>Which working principles can be used to implement a certain technical function?
Moreover, the ontology should be able to align with other BFO-conformant ontologies, and can
be used to build application ontologies by researchers in academia and industry, and ontology
designers and developers. For instance, a biomimetic ontology intended for use in material
science, bridging from biological material to engineered biomaterials, can be built upon this
core ontology.</p>
        <p>The paper is organized as follows. In Section 2, we provide general information on the
biomimetic research process and provide information on the existing semantic resources in
biomimetics. Section 3 details the methods and materials used, including the reuse of classes
and formal relations. Section 4 suggests definitions for central classes and patterns for
modelling biological phenomena, functions, and working principles. Section 5 offers a
discussion of the findings, and Section 6 concludes by sketching our plans for future work.</p>
        <p>In this paper, class names are written in italics along with their corresponding namespaces,
e.g., BFO:material entity. Upon the first mention of a class name, we also cite its OBO ID as a
unique identifier within square brackets, e.g., material entity [BFO:0000040], where the full IRI
(Internationalized Resource Identifier) of a class, e.g., for BFO:material entity,
http://purl.obolibrary.org/obo/BFO_0000040, is hyperlinked to the reference information within
the square brackets. Relations, together with their namespace, are written in bold, e.g.,
BFO:concretizes. We often refrain from citing the namespace of rdfs:subClassOf and
owl:equivalentClass. Lastly, the logical connectors are in small all-caps, e.g., NOT or SOME.</p>
        <p>The OWL file of the version presented here is available at
https://github.com/BiomimeticsOntologies/BiomimeticsCore.</p>
      </sec>
    </sec>
    <sec id="sec-2">
      <title>2. Background</title>
      <sec id="sec-2-1">
        <title>2.1. The Biomimetic Research Process</title>
        <p>
          Biomimetics is defined as an “interdisciplinary cooperation between biology and technology or
other innovative fields in order to solve practical problems through the functional analysis of
biological systems, their abstraction into models, and the transfer and application of these models
to the solution” ([
          <xref ref-type="bibr" rid="ref6">6</xref>
          ], p. 2, italics in the original). A product is considered biomimetic if and only
if its design results from a three-step process: analysing a biological system’s function,
abstracting it into a model, and applying that model to the product’s design [
          <xref ref-type="bibr" rid="ref6">6</xref>
          ]. Although the
three-step process remains the same, the starting point of a biomimetic project can vary: (i) in
a technology-pull approach, solutions for technical problems are sought in nature, whereas (ii)
in a biology-push approach, biological discoveries inspire the design of new technologies [
          <xref ref-type="bibr" rid="ref7">7</xref>
          ].
Regardless of the starting point, transferring biological knowledge to the technical domain is
essential, as developing new ideas is a prerequisite for application-oriented research [
          <xref ref-type="bibr" rid="ref1">1</xref>
          ].
        </p>
        <p>
          According to the conceptual framework developed by Drack and colleagues [
          <xref ref-type="bibr" rid="ref5 ref8">5, 8</xref>
          ], which is
built on the engineering design approach of Pahl et al. [
          <xref ref-type="bibr" rid="ref9">9</xref>
          ], there are five levels to be analysed on
the side of both biological models and technical artefacts: (i) the overarching system, a biological
or engineering system, (ii) the construction level, where the concrete parameters of the interacting
entities are specified, (iii) the working principles, which are the abstract causal relations operating
at the construction level, (iv) the function in question, which is sought to enable a part of the
construction, and, finally, (v) the task, which is either the intention with which a machine, device
or process is being designed, or, in the context of biological systems, the biological function of the
feature in question. Similar accounts are also reflected in self-descriptions of biomimetic
researchers, be it in textbooks [
          <xref ref-type="bibr" rid="ref10 ref11">10, 11</xref>
          ] or in official guidelines and norms for biomimetics, as
provided, e.g., by the German Association of Engineers (VDI) or the International Standardization
Organisation (ISO) [
          <xref ref-type="bibr" rid="ref1 ref6 ref7">1, 6, 7</xref>
          ]. We conducted a survey of biomimetic research projects, which
confirmed that these steps and the mentioned entities are indeed at stake in typical biomimetic
research projects. Some preliminary results have been published in [
          <xref ref-type="bibr" rid="ref12">12</xref>
          ].
        </p>
        <p>
          According to this framework, the most important modelling challenges are the
representation of biological models, function, and working principles. Biological models and
the technical artefacts in a biomimetic project may have different tasks to perform and may
display different constructions [
          <xref ref-type="bibr" rid="ref5">5</xref>
          ]. The general idea, however, is that functions and working
principles are of the same kind in the biological model and the technical artefact, and that these
are thus at the core of biomimetic knowledge transfer. Thus, biomimetics mainly helps with the
identification of working principles that explain how the function in question is fulfilled in the
technical system. An ontological analysis of this framework concludes that the core components
of biomimetics are functions, working principles, and the technical and biological systems in
which functions and working principles inhere. The goal of a biomimetic research project is to
design technical artefacts with specific technical functions, whose working principles are
derived from biological dispositions. In a technology-pull biomimetic research project,
biomimeticians seek a working principle that fulfils a technical function, which inheres in the
technical artefact at hand. When they find a biological entity whose certain disposition aligns
with the technical function, the working principle that fulfils the biological disposition can be
transferred into the technical realm. Once the working principle is understood, it is applied to
the technical artefact with specifications for its material and other characteristics.
        </p>
      </sec>
      <sec id="sec-2-2">
        <title>2.2. Existing Semantic Resources</title>
        <p>
          Several tools have been developed to support the biomimetic development process [
          <xref ref-type="bibr" rid="ref13 ref14 ref15 ref2">2, 13–15</xref>
          ].
Some serve as inspiration tools, such as Bio-Inspired Design and Research Assistant
(https://github.com/nasa-petal/bidara), which is a GPT-4 chatbot that provides inspiration for
researchers to apply biomimicry principles, while others aim to structure the domain, such as
the BioMimetics Ontology [
          <xref ref-type="bibr" rid="ref16">16</xref>
          ], which organizes the domain by trade-offs in biology and
technology using a TRIZ-based approach.
        </p>
        <p>
          Yargan and Jansen [
          <xref ref-type="bibr" rid="ref4">4</xref>
          ] analyse nine tools that aim to semantically structure the domain of
biomimetics, and check the potential of the tools to serve as (part of) an ontology or for being
re-engineered for this purpose. The result of the evaluation was mainly negative: (i) no existing
resource can adequately represent biomimetic knowledge due to its content, scope, or structure,
and (ii) there are significant shortcomings that impede their effective use and reuse as
ontologies. Key issues include: insufficient or a lack of documentation; the absence of a
taxonomy as a backbone; frequent logical inconsistencies; unclear and unsystematic labelling
conventions; and limited machine-readability and interoperability. While most resources offer
some degree of extensibility, the overall lack of adherence to ontological best practices hinders
their potential to serve as robust computational tools for the biomimetic development process.
        </p>
        <p>
          As shown in Section 2.1, biomimetics has its own categories that warrant a structured
representation of biomimetics knowledge. However, the central entities of biomimetics—
function, working principle, and construction—are not consistently and ontologically analysed
across existing semantic resources [
          <xref ref-type="bibr" rid="ref4">4</xref>
          ]. Furthermore, all these core entities should be elaborated
in relation to the unique characteristics of the biomimetics domain. For instance, as there is no
unified account of functions, which is indeed not needed [
          <xref ref-type="bibr" rid="ref17">17</xref>
          ], so-called “biological functions”
must be represented as dispositions. Accordingly, a core ontology for biomimetics should
capture dispositions of biological entities, functions of technical artefacts, and the working
principles that fulfil both, as well as processes that realize them.
        </p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>3. Methods</title>
      <p>For developing our core ontology, we apply the Open Biological and Biomedical Ontology
(OBO) Foundry Principles (obofoundry.org). These principles, established on a collection of best
practices for ontology development, are meant to provide a suite of orthogonal and
interoperable ontologies. In particular, we use the Basic Formal Ontology (BFO) as a top-level
ontology, from which all our classes hang down. BFO meets the standards set by ISO/IEC
21838-1 for top-level ontologies and promotes interoperability, standardization, and reuse
among ontologies (github.com/bfo-ontology), including the ontologies within the OBO Foundry
and the Industrial Ontologies Foundry (IOF; oagi.org/pages/industrial-ontologies). While the
OBO Foundry provides a repository of ontologies for the biological and biomedical sciences, the
IOF aims at a suite of ontologies for the industrial domains, the two sides between which
biomimetics has to bridge.</p>
      <p>
        The ontology has been implemented in the Web Ontology Language (OWL, w3.org/OWL)
using the Protégé 5.6.5 editor (protege.stanford.edu). We employed two methods for ontology
reuse. First, we used Protégé’s ontology importing wizard to insert BFO as a whole with all
classes, their IRIs, labels, definitions, and other annotations. Second, in all other cases, we
imported single classes (see Section 4 for examples). For this, we used the OntoFox tool ([
        <xref ref-type="bibr" rid="ref18">18</xref>
        ],
ontofox.hegroup.org) that builds on the Minimum Information to Reference an External
Ontology Term (MIREOT) method [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ]. Finally, we used HermiT 1.4.3.456, an automatic
reasoner available in Protégé, to test the logical consistency of the ontology.
      </p>
      <p>
        We also aim to reuse relations that have established themselves as standards in the OBO
Foundry. We use the relations that are part of BFO and import some relations from other OBO
Foundry ontologies, namely is about [IAO:0000136] from the Information Artefact Ontology
(IAO) and is specified output of [OBI:0000312] from the Ontology of Biomedical
Investigations (OBI). As a class import from OBI included participates in [RO:0000056], we
also had to import this relation from the Relation Ontology (RO), which we stated to be
equivalent to the homonymous BFO relation [BFO:0000056], as there seems to be no semantic
difference between them. The only additional relations we employ are the has trigger relation
and its inverse, trigger of that have been suggested by Röhl and Jansen [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ], originally
presented as has triggerD. The has trigger relation holds between a type of disposition D and
a type of process T if and only if instances of T are suitable to trigger the realization of the
instances of D.
      </p>
    </sec>
    <sec id="sec-4">
      <title>4. Results</title>
      <p>In the following, we will discuss the building blocks for a core ontology for biomimetics and
explain which classes are imported from the OBO Foundry ontologies, starting from the
biological entities that can serve as biological models (Section 4.1), and then proceeding to the
engineering side of the technical artefacts to be developed.</p>
      <sec id="sec-4-1">
        <title>4.1. Biological Entities as Biological Models</title>
        <p>In biomimetics, biological models are studied to learn working principles for certain functions
that can then be transferred to and implemented in technical artefacts. To model these, we need
classes for biological entities, in particular organisms, their parts, aggregates thereof, and
substances and artefacts produced by them.</p>
        <p>
          Biomimetic guidelines typically suggest that organisms, biological processes, materials,
structures, and functions can serve as biological models from which the engineer can learn [
          <xref ref-type="bibr" rid="ref1">1</xref>
          ].
A survey of examples showed that a biological model can be also an organism aggregate, e.g., a
collection of reeds; an organism part, e.g., wavy whiskers; a material entity constructed by a
single (non-human) animal, e.g., a bird nest; a material entity constructed by an aggregate of
(non-human) animals, e.g., a termite mound; or a material entity secreted or produced by an
organism, e.g., spider silk or eggs. The biological entities in a biomimetic research project, then,
range from single cells and their parts to organisms and their aggregates, and from organism
substances to portions of tissues, and they can even include biological processes like evolution.
As a result, they are not restricted to types of BFO:object [BFO:0000030] or BFO:object aggregate
[BFO:0000027], as an ecosystem or a collection of organisms without a membership relation,
are also biological entities that are types of BFO:material entity [BFO:0000040]. Due to the
categorial diversity, we cannot sensibly introduce a class named “biological model”, as this class
would comprise instances from various BFO top-level classes. If biological models can also be
found in the BFO occurrent branch, we cannot even introduce a role “being used as a biological
model”, as within the BFO framework, roles can be borne only by independent continuants.
        </p>
        <p>
          Organisms in biomimetics include any living beings, such as halophiles, blue-green algae,
and cats. We decided to import OBI:organism [OBI:0100026], as OBI also uses BFO as a top-level
ontology. There are several issues worth mentioning, though. OBI:organism has many
subclasses taken from the NCBI Organismal Classification (NCBITaxon), which is not itself
conformant to BFO. Also, NCBITaxon does not conform to the OBO Foundry naming
conventions; e.g., the class viruses [NCBITaxon:10239] has a class label in the plural. Moreover,
it is at least debatable whether viruses can be considered to be organisms or living beings in the
same way that, say, cats or bacteria are. In this case, however, we defer our own judgement and
follow the consensus reached in the NCBITaxon and OBI communities. An organism class can
function as an interface to biological taxonomies like these when needed. Likewise, the
superclass of organism can be debated. Organisms are listed as examples for BFO:object in the
elucidations of this class in BFO 2020 (and also in [
          <xref ref-type="bibr" rid="ref21">21</xref>
          ], p. 91), but OBI subsumes OBI:organism
under BFO:material entity. Again, we follow the consensus of the OBI community here.
        </p>
        <p>Organism part. As in the example of wavy whiskers, also organism parts can serve as
biological models. Organism parts can include the eye, leaf, tail, parenchyma tissue, cell, cellular
component, cell membrane, and DNA. These examples span several levels of granularity and,
thus, the domains of different OBO ontologies. For this reason, we import GO:cellular component
[GO:0005575], UBERON:anatomical structure [UBERON:0000061], UBERON:anatomical
collection [UBERON:0034925], and PO:plant structure [PO:0009011], to serve as bridge classes to
more specialised OBO ontologies.</p>
        <p>
          Organism aggregates. In some biomimetic examples, collections of organisms or their
products serve as biological models. We can distinguish between two kinds of such collections.
(1) Collections of organisms of the same species, such as a collection of reeds that can provide
a biological model for absorbing sounds [
          <xref ref-type="bibr" rid="ref22">22</xref>
          ]. (2) Collections of organisms of different species
(or parts of them), such as the system out of the burdock plant and dog (or burdock seed and
dog fur) that served as the model for the Velcro© technology [
          <xref ref-type="bibr" rid="ref5">5</xref>
          ]. We selected PCO:collection of
organisms [PCO:0000000] for representing the organism aggregates and two of its subclasses,
PCO:single-species collection of organisms [PCO:0000018] and PCO:multi-species collection of
organisms [PCO:0000029].
        </p>
        <p>
          Animal artefacts. Gould [
          <xref ref-type="bibr" rid="ref23">23</xref>
          ] defines animal artefacts as “any creation on the part of an
animal, using and/or modifying available materials, which is useful to it or its offspring” (p. 249).
Bird nests, spider webs, and beaver dams are such objects. Here, we can observe a clash between
ordinary language and biology: While from the point of view of biology, humans are special
animals, ordinary language here uses the word “animal” to refer to non-human animals only.
From the biomimetics perspective, a distinction between products of humans and non-human
animals is essential, because only the latter would be used as biological models for biomimetic
research. We found that ENVO:construction [ENVO:01001813] is the best choice to represent
both technical and animal artefacts, as it subsumes both ENVO:animal construction
[ENVO:02000154] (which is said to be synonymous with non-human animal construction) and
ENVO:human construction [ENVO:00000070], which are imported and stated to be disjoint. We
do not import the subclasses of ENVO:animal construction, but these can, of course, be used by
more specialised biomimetic ontologies. Note that the producing agents can be individual
nonhuman animals, as in the example of the bird nest, or aggregates of non-human animals, as in
the example of the termite mound. In the former case, the agent would be an instance of
OBI:organism AND (NOT human), whereas the agent of the latter is an instance of PCO:collection
of organisms AND (NOT PCO:collection of humans). Representing the biological models with this
distinction would be more accurate.
        </p>
        <p>
          Organismal substance. A successful core ontology should differentiate the organismal
substances that are secreted or produced by an organism, and the constructs that are built with
the secretions and products of the organisms. For instance, the saliva of a swiftlet and the nest
built with its saliva should be treated differently. There are two candidate classes:
UBERON:organism substance [UBERON:0000463] and SDP:portion of organism substance
[SPD:0000008], which share the same definition. UBERON:organism substance has the advantage
to come with 138 subclasses that are not restricted to spiders, unlike the SDP classes (as of
March 18, 2025). However, SDP:portion of organism substance is favourable as it is in keeping
with the OBO Naming Conventions [
          <xref ref-type="bibr" rid="ref24">24</xref>
          ]. Accordingly, the saliva of the swiftlets is a subtype of
SDP:portion of organism substance, while its nest, built with this saliva, is a subtype of
ENVO:animal construction. The secretions and products of the organisms include enzymes,
hormones, sweat, faeces, pheromones, nectar, saliva, silk, and resin, so they cannot be limited
to animals. However, neither class includes the substances specific to plants. PO:portion of plant
substance [PO:0025161] addresses this gap and can be subordinated to a class representing
organismal substances. For this reason, we chose SDP:portion of organism substance, excluding
its subclasses, and introduced PO:portion of plant substance as a subclass.
        </p>
        <p>
          Biological processes: From an ontological point of view, the modelling of processes derived
from nature is particularly challenging, as they do not seem to be based on the properties of
material objects. A famous example in question is the Evolution Strategy [
          <xref ref-type="bibr" rid="ref25 ref26">25, 26</xref>
          ] that applies
trial-and-selection approaches to the development of technical solutions, inspired by the
evolutionary processes in the sphere of biology. On the background of BFO, it is prohibitive to
ascribe dispositions to processes like evolution, mutation, or selection, as a disposition can only
inhere in one or more independent continuants, whereas the realizations of a disposition are
processes. However, though the Evolutionary Strategy is not itself an object, it cannot be
implemented without objects, and these objects need to have the dispositions in question, which
will produce an adaptive development when realized in a relatively stable environment. For
biological evolution, the main participants would be genes (or their biochemical constituents)
that have the disposition to mutate, but normally to reduplicate faithfully and to be inherited
by the next generation of their bearers, where they can lead to adaptive behaviour in the given
environment. In the technical application of the Evolutionary Strategy, it is the actions of the
engineer that lead to changes in the construction, the selection of the most successful items,
and the repetition in the next round. On the engineering side, the “genes” are mainly calculation
units in the mind of engineers or in computers. The resulting engineering construction can be
physical or computational units. In any case, the actions of the engineer or the computer are
guided by the evolutionary algorithm, and we are dealing with dispositions of humans or
computers, respectively.
        </p>
      </sec>
      <sec id="sec-4-2">
        <title>4.2. Technical Artefacts and Their Functions</title>
        <p>We now turn to the technical side of biomimetics and discuss technical artefacts, (technical)
functions, and working principles.</p>
        <p>
          Technical artefacts. Intentionality is a key notion in the discussion of technical function:
What distinguishes entities in biological and technical realms is that the ones in the latter are
driven by intentionality. More explicitly, a technical artefact is a concretization of a plan that is
manufactured with the intent to perform a function [
          <xref ref-type="bibr" rid="ref27">27</xref>
          ]. Genetically modified organisms (e.g.,
the OncoMouse or GM-varieties of soybean), or organism parts (e.g., edited myostatin genes),
as well as portions of tissue when maintained or cultured outside of an organism in laboratory
settings (e.g., the HeLa cell line), are in this respect also technical artefacts. This shows that
biological material entities and technical material entities are not disjoint classes [
          <xref ref-type="bibr" rid="ref28">28</xref>
          ]. Normally,
however, biomimetics research is considered to have a non-living target. For this reason, (i)
ENVO:human construct alone cannot represent all the technical artefacts, even if it is enlarged
with ENVO:manufactured product [ENVO:00003074] and ENVO:facility [ENVO:03501288]; (ii)
the class, which includes technical artefacts, cannot be disjoint from OBI:organism, which,
notably, includes OBI:genetically modified organism [OBI:0302859] as a subclass, or from the
classes that represent organism parts. Class hierarchies with multiple inheritance are inevitable
when representing the intersections of biology and technology; while they are to be avoided in
the asserted ontology, they should be allowed for in the inferred statements.
        </p>
        <p>
          Another key point to consider is the distinction between the biological and technical realms
that organisms and their aggregates, organism parts, organismal substances, and animal
constructs are all of BFO:material entity, while biomimetic products include both methods, e.g.,
the Evolution Strategy [
          <xref ref-type="bibr" rid="ref25 ref26">25, 26</xref>
          ], or abstract constellations, e.g., artificial neural networks, as well
as concrete products, e.g., Lotus-Effect® coatings [
          <xref ref-type="bibr" rid="ref1">1</xref>
          ]. Thus, a technical artefact can be
constituted by physical or digital entities. When a technical artefact is an information entity, a
strategy or an algorithm, it can be represented under IAO:plan specification [IAO:0000104]
which is a subclass of BFO:generically dependent continuant [BFO:0000031].
        </p>
        <p>
          Technical functions. Biomimetics is often regarded as a research field that seeks to transfer
biological functions to the technological domain to develop innovative technical solutions [
          <xref ref-type="bibr" rid="ref1">1</xref>
          ].
This suggests the need for a unified framework for function that encompasses both biological
and technical functions, as Drack et al. [
          <xref ref-type="bibr" rid="ref5">5</xref>
          ] have indeed proposed. However, Yargan and Jansen
[
          <xref ref-type="bibr" rid="ref17">17</xref>
          ] argue that no unified account for functions in biomimetics should be assumed, for the
following reasons. First, neither in biology nor in technology is there a consensus on what a
function is, and there is no convincing account for a unified account of function bridging both
domains, which would be required for a bridge discipline like biomimetics. While this is, of
course, not a cogent argument, speaking of ‘biological functions’ could be seen as dispensible,
because it is the respective dispositions of biological entities which are really of interest for
engineering. We can thus restrict the talk about functions to technical functions. Thinking in
terms of biological functions can, however, be of important heuristic utility. First, because
features that are selected for by evolution are most likely also optimised for survival in a given
environment. Second, because having a certain function brings within good reasons to believe
that there is also a respective working principle to be found.
        </p>
        <p>
          Working principles. While we do not require a unified class for both biological and
technical functions, we think that working principles are, in fact, “transferred” from the
biological to the technical sphere. We therefore need a description of working principles.
According to Pahl et al. [
          <xref ref-type="bibr" rid="ref9">9</xref>
          ], working principles are the causal principles that bring about the
intended effects. While there is a wide consensus in engineering design that the central step in
the design process is the search for working principles to be combined with the resulting
working structure of the device to be constructed, there is hardly any discussion of the
ontological analysis of working principles in the engineering literature. Elsewhere, we argue at
length that working principles are best understood in terms of dispositions [
          <xref ref-type="bibr" rid="ref20 ref29">20, 29</xref>
          ]. Like we did
for the biological models, we do not introduce a class comprising all working principles, but use
BFO:disposition together with other classes to represent knowledge about working principles as
knowledge about dispositions. In contrast to BFO:function, the domain of a disposition or its
bearer is in no way part of the elucidation of BFO:disposition; thus, we do not have to distinguish
between dispositions that are natural and those that are the result of human design (for the
latter, see [
          <xref ref-type="bibr" rid="ref30">30</xref>
          ], though). Moreover, for BFO all dispositions are intrinsic dispositions, as
dispositions are due to the physical make-up of their bearers.
        </p>
        <p>
          We have, however, to account for various varieties of knowledge about working principles
(or dispositions) that are used by engineers. We do so by providing patterns to represent
different “classifying criteria” for working principles: working material, working geometry, and
working movements mentioned by Pahl et al. ([
          <xref ref-type="bibr" rid="ref9">9</xref>
          ] p. 94). Botchler [
          <xref ref-type="bibr" rid="ref31">31</xref>
          ] seems to conceive of
these as three subtypes of working principles. In contrast, we think that they have to be
construed as three different types of knowledge about the dispositions involved. In some cases,
it might be advisable to combine these varieties of knowledge with each other. For these
patterns, we employ the BFO framework plus a newly introduced relation has trigger and its
inverse, trigger of (following [
          <xref ref-type="bibr" rid="ref20">20</xref>
          ]), and a class portion of material as a subclass of BFO:material
entity. In addition, we import PATO:shape [PATO:0000052] and PATO:size [PATO:0000117],
together with their subclasses, under BFO:quality.
        </p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. Discussion</title>
      <p>
        Figure 1 shows the overall classes in the ontology. The ontology provides a consistent
framework that can be extended to full-fledged reference ontologies or application ontologies.
It supports interoperability among and integration of various interdisciplinary works on
biomimetics. To illustrate how to put the ontology to work, we will apply these core classes to
the example of the wavy whiskers. Seals can track their prey by using their whiskers, which are
extremely sensitive to water movements. The unique undulating shape of the whiskers reduces
vibrations caused by the seal’s own swimming by cutting down on background noise; which
makes the whiskers much better at detecting the tiny water disturbances left behind by escaping
prey [
        <xref ref-type="bibr" rid="ref32">32</xref>
        ]. Being a biology push example, this phenomenon has been used in technology, where
sensing the flow or reducing the drag is important [
        <xref ref-type="bibr" rid="ref32">32</xref>
        ].
      </p>
      <p>
        Our ontology can represent this biomimetics example as follows. The biological model used
here is an organism part, namely the whiskers of the seals. The disposition of the whisker is to
sense and follow the wake of escaping prey, which can be abstracted to the disposition to
minimize self-generated vibration. This disposition also inheres in the technical artefacts
produced by biomimetic projects based on this phenomenon. The process is exhibiting
vortexinduced vibration. This process can also be realized by the technical artefact, say, an underwater
cable which is designed in the undulating whisker shape in order to suppress VIV-induced lift
and drag forces [
        <xref ref-type="bibr" rid="ref32">32</xref>
        ]. The working principle employed can be represented as a complex
disposition inhering in both the seal’s whisker and the cable [
        <xref ref-type="bibr" rid="ref29">29</xref>
        ]. The representation must
include the specific shape of the whisker. Altogether, we arrive at the following axioms:
seal subClassOf OBI:organism
whisker subClassOf UBERON:anatomical structure
wavy whiskers BFO:has continuant part SOME seal
seal-whisker-like waviness subClassOf PATO:shape
seal with wavy whiskers equivalentClass (seal AND (BFO:has continuant part SOME
(whisker AND (BFO:bearer of SOME seal-whisker-like waviness)))
disposition to minimize self-generated vibration subClassOf BFO:disposition
seal with wavy whiskers BFO:bearer of SOME disposition to minimize self-generated vibration
exhibiting vortex-induced vibration subClassOf BFO:process
disposition to minimize self-generated vibration BFO:has realization ONLY
      </p>
      <p>exhibiting vortex-induced vibration
underwater cable subClassOf ENVO:human construction
underwater cable with seal-whisker-like waviness equivalentClass (underwater cable AND
underwater cable with seal-whisker-like waviness BFO:bearer of SOME</p>
      <p>
        BFO:bearer of SOME seal-whisker-like waviness)
disposition to minimize self-generated vibration
We based our analysis of biomimetics on the engineering theory of Pahl et al. [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]. This account
of engineering design has been developed on the background of (and for the needs of)
mechanical engineering. It might be questioned whether this account is broad enough to cover
all variants of biomimetic research projects. In particular, the working principles discussed by
Pahl et al. are mainly restricted to physical mechanisms. In biomimetics, chemical effects or still
other strategies might be relevant as well, e.g., catalysis and redox reactions. Our approach is,
however, able to accommodate these examples, as dispositions are in fact not restricted to the
realm of physics, but may include chemical dispositions and others.
      </p>
      <p>When applying the OBO Foundry principles, we encountered several challenges. One key
issue arose when importing the relations. We based our ontology on the current BFO 2020
version, which contains temporalised relations. However, imported ontologies may still rely on
legacy versions of BFO and consequently include some relations from RO. While BFO 2020 and
RO share the same relation names, their underlying semantics may differ, such as in the case of
RO:concretizes [RO:0000059], which we consider to be a subrelation of BFO:concretizes
[BFO:0000059], which has the wider domain.</p>
      <p>Several issues arose when importing the classes. First, despite the postulated orthogonality
of OBO Foundry ontologies, we often had to choose between several candidates. In this case,
we usually preferred the class from the ontology with the more pertinent domain competence.
Second, not all OBO Foundry ontologies are really conformant with the OBO Foundry
principles. There are, e.g., violations of the OBO naming conventions (plural class labels,
ambiguous class labels), and undefined domain and range of relations.</p>
      <p>Third, candidate classes could come with unintended subclasses. E.g., OBI:organism includes
NCBITaxon:Viruses [NCBITaxon:10239] from the NCBI Organismal Classification
(ebi.ac.uk/ols4/ontologies/ncbitaxon), while it could be argued that viruses are not even living
beings, let alone organisms. As it cannot be the task of a core ontology for biomimetics to decide
such issues, we often refrain from importing all the subclasses of classes that are of interest to us.</p>
      <p>
        We also encountered the opposite problem that the superclass of certain classes was not
debated. For example, the BFO literature suggests that organisms should be classified under
BFO:object ([
        <xref ref-type="bibr" rid="ref21">21</xref>
        ], p. 91), but most of the OBO Foundry ontologies that have an organism class
prefer to classify them under BFO:material entity. In this case, we again followed the domain
ontologies, where we assumed more competence for factual issues.
      </p>
      <p>Another issue was that some classes seemed to be importable according to their labels, but
their definitions were restricted to the domain of the ontology; for instance, the subclasses of
UBERON are limited to animals, although the definitions of the classes can encapsulate plants.
The opposite problem, already mentioned above, occurred with ENVO:animal construction,
where the definition fits our purpose, but the class term is misleading from a taxonomic
perspective, as it is intended to comprise non-human constructions only. Identifying
appropriate classes for cells and eggs proved challenging, as not all cells qualify as organisms,
and genetically modified cells can be organisms or part of an organism. Often, a systematic
treatment of certain domains was missing from the OBO Foundry ontologies. Sometimes, there
are huge branches of interesting classes that could be reused in surprising domains, such as
ENVO for representing technical artefacts, or PATO for shapes and sizes. However, such
specialised branches for entities that are not peculiar to this domain could restrict the
availability of subclasses, and could lead to orthogonality problems in the future.</p>
    </sec>
    <sec id="sec-6">
      <title>6. Conclusion and Future Work</title>
      <p>In this paper, we presented the core for a reference ontology for biomimetics. The ontology was
developed in line with the good practice principles of the OBO Foundry. In particular, we used
BFO as the top-level ontology and imported it as a whole. To warrant interoperability within
the OBO Foundry ecosystem, we imported additional classes and relations from several OBO
ontologies when available.</p>
      <p>At its current stage, the ontology has neither been evaluated by a broader community nor
tested in practical use cases. Its assessment has so far been limited to automated reasoning
checks for internal consistency and expert feedback from two domain specialists, focusing on
domain coverage and the appropriate reuse of existing OBO terms.</p>
      <p>
        Future work will focus on both evaluation and expansion. On the one hand, we aim to
evaluate the ontology by sending out our term lists to domain experts and have them check
them based on their knowledge of the domain. Also, real-world applications are needed to assess
the ontology’s performance in practical biomimetic research and design tasks. On the other
hand, modular extensions are planned to tailor the ontology to specific areas of biomimetic
research (e.g., locomotion, surface structures, coloration, or self-healing capabilities) as well as
to particular biological models (e.g., water plants, sharks). These modules will allow users to
adapt and reuse the ontology for a broad range of biomimetic problems. What is especially
undeveloped in the current state of our ontology is the hierarchy of process types. Process types
are crucial, because they link technical functions and biological dispositions, if both kinds are
realized by the same type of processes. We also want to build bridges to existing repositories of
biomimetic knowledge, like the Ask Nature database (asknature.org) [
        <xref ref-type="bibr" rid="ref33">33</xref>
        ]. This can be done by
re-engineering the so-called Biomimicry Taxonomy used to structure the database [
        <xref ref-type="bibr" rid="ref34">34</xref>
        ] as a
hierarchy of process types. We also want to test how far other hierarchies of processes could
be integrated, which, for example, have been suggested for the analysis of technical functions.
Finally, like the Biomimetics Ontology [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ], we plan to connect with the heuristic trade-offs of
the TRIZ principles and to apply the core ontology to real-world examples, starting from the
case studies we conducted. Finally, we will reach out to biomimetic communities to use our core
ontology to model biomimetic knowledge. The ultimate goal will be the development of a
reference ontology for biomimetics, or, rather, a suite of hierarchical and orthogonal ontology
modules that can, step by step, exhaust the biomimetic domain.
      </p>
    </sec>
    <sec id="sec-7">
      <title>Acknowledgements</title>
      <p>Research for this paper has been conducted under the auspices of the project “Learning from
Nature” funded by the DFG (nr. 492191929). Part of the work of Ludger Jansen on this paper
has been conducted during a research stay funded by the DFG (nr. 449836922) at the Centre for
Advanced Study “Access to cultural goods in digital change: art historical, curatorial, and ethical
aspects” (KFG 33) at the University of Münster, and has benefited much from the hospitality
and discussions in Münster. We thank the anonymous reviewers for their inspiring feedback,
and Julian Vincent and Manfred Drack for their invaluable feedback on an earlier version of the
paper and the ontology.</p>
    </sec>
    <sec id="sec-8">
      <title>Declaration on Generative AI</title>
      <sec id="sec-8-1">
        <title>The authors have not employed any Generative AI tools. 12</title>
      </sec>
    </sec>
  </body>
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