Search options

Search
Search by author
Between Dates
to
Volume and Number
&

Spemd Logo

Revista Portuguesa de Estomatologia, Medicina Dentária e Cirurgia Maxilofacial

SPEMD - Revista Portuguesa de Estomatologia Medicina Dentária e Cirurgia Maxilofacial | 2024 | 65 (2) | 76-84




Clinical case

Management of additional roots in mandibular molars: report of radix entomolaris and radix paramolaris cases

Abordagem endodôntica de raízes adicionais dos molares mandibulares: relato de casos de radix entomolaris e radix paramolaris


a Faculdade de Medicina Dentária, Universidade de Lisboa, Lisbon, Portugal
b Grupo de Investigação em Bioquimica e Biologia Oral, Unidade de Investigação em Ciências Orais e Biomédicas (UICOB), Lisbon, Portugal
c Centro de Estudo de Medicina Dentária Baseada na Evidência (CEMDBE), Lisbon, Portugal
d LIBPhys-FCT UID/FIS/04559/2013 (https://doi.org/10.54499/UIDB/04559/2020), Portugal
Abayomi Omokeji Baruwa - baruwaabayomi@gmail.com

  Show More



Volume - 65
Issue - 2
Clinical case
Pages - 76-84
Go to Volume


Received on 29/09/2023
Accepted on 02/06/2024
Available Online on 27/06/2024


10.24873/j.rpemd.2024.06.1222

Clinical Case Report

 

Management of additional roots in mandibular molars: report of radix entomolaris and radix paramolaris cases

Abordagem endodôntica de raízes adicionais dos molares mandibulares: relato de casos de radix entomolaris e radix paramolaris

 

Abayomi Omokeji Baruwa1,*  0000-0002-1670-8674

Mariana Domingos Pires1 0000-0002-6528-5882

Jorge N.R. Martins1,2,3,4 0000-0002-6932-2038

1 Faculdade de Medicina Dentária, Universidade de Lisboa, Lisbon, Portugal

2 Grupo de Investigação em Bioquimica e Biologia Oral, Unidade de Investigação em Ciências Orais e Biomédicas (UICOB), Lisbon, Portugal

3 Centro de Estudo de Medicina Dentária Baseada na Evidência (CEMDBE), Lisbon, Portugal

4 LIBPhys-FCT UID/FIS/04559/2013 (https://doi.org/10.54499/UIDB/04559/2020), Portugal

 

*Correspondence to:

 

Article history:

Received 29 September 2023

Accepted 2 June 2024

Available online 25 June 2024

 

Abstracy

Achieving a favorable outcome after endodontic treatment depends on a clear understanding of tooth anatomy, identification of variations, and precise root canal location. Multi-rooted mandibular molars often deviate from the expected configuration, sometimes featuring additional roots, such as radix entomolaris (RE) and radix paramolaris (RP), posing challenges during treatment. Detecting these variations is challenging due to their proximity to the distal root, and overlooking them can lead to complications. This study presents three cases involving RE and RP and offers insights into their clinical management, encompassing thorough clinical assessment, diagnosis, and root canal treatment. At follow-up examinations, patients were asymptomatic with no radiographic evidence of persistent infection.

Therefore, clinicians must be aware and informed about the potential presence of additional roots in mandibular molars during root canal procedures, as understanding and addressing anatomical variations like RE and RP is crucial for achieving favorable outcomes in root canal treatments. (Rev Port Estomatol Med Dent Cir Maxilofac. 2024;65(2):76-84)

Keywords: Anatomy, Endodontics, Mandibular molar,Root canal therapy,Tooth

 

Resumo

Abordagem endodôntica de raízes adicionais dos molares mandibulares: relato de casos de radix entomolaris e radix paramolaris A obtenção de prognósticos favoráveis em tratamentos endodônticos está muito relacionada com um correto conhecimento da anatomia dentária. Molares mandibulares podem apresentar inúmeras variações da anatomia, sendo a presença de raízes adicionais uma possibilidade, como é o caso do radix entomolaris (RE) e do radix paramolaris (RP). A identificação destas variações pode tornar-se um desafio devido à sua proximidade com a raiz distal, o que pode levar a complicações no caso de serem ignoradas. O presente estudo apresenta três casos envolvendo RE e RP e descreve a sua abordagem clínica, que envolveu análise clínica, diagnóstico e tratamento endodôntico. Os controlos demonstraram que os pacientes estavam assintomáticos e sem sinais de infeção persistente. Os clínicos devem estar informados sobre a potencial presença de raízes adicionais durante os tratamentos endodônticos, uma vez que conhecer essas variações anatómicas, como o RE e RP, é crucial para alcançar um prognóstico mais favorável nos tratamentos.

Palavras-chave: Anatomia,Endodontia, Molar mandibular,Tratamento canalar,Dente

 

Introduction

The successful outcome of endodontic treatment relies on na interplay of numerous factors encompassing biological, technical, and patient-related variables.1 Among these factors, a profound understanding of the tooth’s intricate anatomical characteristics and root canal system, the identification of anatomical variations, and the location of all canals are imperative for anticipating potential errors, which is crucial for achieving a favorable prognosis in preserving both the functionality and longevity of the tooth.2, 3

Studies on multi-rooted teeth have consistently unveiled anatomical variations that deviate from the typical morphological and canal configuration expected for each tooth.4, 7 While most mandibular molars typically exhibit two roots—one mesial and one distal, the existence of a third root renders these teeth prime candidates for unexpected anatomical complexity.3, 8 These additional root structures are commonly located in distolingual or mesiolingual positions, denoted as radix entomolaris (RE) and radix paramolaris (RP) correspondingly, and possess distinctive canals.9,10 Among these variations, RE is the most prevalent and may manifest as a distinct, separate root or a partial fusion with the main roots. RE may occur in any mandibular molars but has been least documented in second molars.9 Its prevalence has been reported to vary among populations, with about 4% in Caucasians and over 30% in Mongolian populations.3, 8 - 10

Detecting these anatomical root variations poses a significant challenge due to their location within the same bucolingual plane as the distal root.9 This spatial proximity can lead to superimposition on orthogonal periapical radiographs, making this anatomical variation easy to overlook. Failing to identify and treat an additional root canal during the root canal treatment has been associated with a high probability of post-treatment apical periodontitis.11

Given the clinical implications of missing these anatomical variations, it is important for clinicians to remain observant and informed about the potential presence of additional roots in mandibular molars when performing root canal treatments. In this context, this study presents three cases of RE and RP, offering additional awareness and insights into their clinical management to ultimately enhance the success rates of root canal treatments in mandibular molars.

Case reports

General clinical procedures

Three patients, each reporting pain in a mandibular molar, were referred for an endodontic evaluation by colleagues within a multidisciplinary private practice following their initial dental assessments. Their medical history was reviewed and considered non-contributory in all cases. The intra-oral inspection revealed large crown fillings not associated with visible caries lesions and the absence of periodontal probing or bleeding. Teeth mobility was within the physiological limits.

Radiographic examination and ice sensitivity tests were also conducted to collect complementary data for the diagnosis.

The three cases were classified as highly difficult, according to the American Association of Endodontists’ endodontic case difficulty assessment form, due to their anatomical variations and complexities.12 Proper pulpal and apical diagnoses were established, and root canal treatment was recommended. The patients accepted the proposed treatment and signed its informed consent form.

After proper mandibular nerve block infiltration (1.8 mL of 4% articaine with 1:200,000 epinephrine; Artinibsa, Inibsa, Spain), an adequate rubber dam isolation was achieved. The access cavity was prepared using round and endo-z endodonrev tic burs, and the pulp floor morphology was inspected under an 8.5x magnification with a dental microscope (Opmi Pico, Carl Zeiss Surgical, Germany). All teeth’ chamber floors presented dark embryological lines that indicated the location of the multiple root canal orifices. After refining the canals’ entrances with ultrasonic tips (Start X, Dentsply Maillefer,

Switzerland), the root canals were negotiated, and patency was achieved with stainless-steel ISO size-10 K hand files (Dentsply Sirona, Switzerland). The working length was double- checked with periapical radiographs and an electronic apex locator (Root ZX, Morita, Japan). The mechanical instrumentation of all canals used the ProTaper Next (Dentsply Sirona, Switzerland) rotary system, according to the manufacturer’s recommendations. Finishing was completed using X2 instruments in the mesial canals and X3 files in the distal.

The mechanical debridement was complemented with a copious syringe irrigation with a minimum of 36 mL of 5.25% sodium hypochlorite per tooth using a side-vented 27 G needle (Monojet, Covidien, Mansfield, USA). The teeth were closed using a provisional filling (Cavit W, 3M ESPE, Germany).

A second appointment was scheduled to follow up properly on the initial symptoms. No intracanal dressing was used between visits.

At the second appointment, the patients were already asymptomatic and comfortable. After the anesthesia, rubber dam isolation, and regaining endodontic access, a final irrigation protocol was completed with 1 mL of 17% EDTA for 30 seconds and 3 mL of 5.25% sodium hypochlorite rinses per canal.

The canals were dried with paper points, and X2 and X3 gutta- percha master cones (ProTaper Next Conform Fit Gutta-Percha, Dentsply Sirona, Switzerland) were fit at the working length. The root canal obturation used a resin-based sealer (AH Plus, Dentsply Sirona, Switzerland) and was accomplished by the continuous wave of condensation technique using the System B unit (Sybron Endo, USA) for down packing, selecting the appropriate plugger size that binds at 4-5 mm from the apical limit of each canal and Obtura II (Obtura Spartan, USA) for backfilling. Finally, the pulp chamber was cleaned with alcohol, the canal orifices were sealed with a flowable resin (Supraflow, R&S, France), and the endodontic access was again restored with a provisional filling (Cavit W, 3M ESPE, Germany).

The cases were referred to oral rehabilitation, and follow-up visits were scheduled.

Case #1

A 46-year-old Caucasian female came to the endodontic appointment complaining of permanent pain on the left mandibular first molar (tooth 36). Oral inspection revealed a buccal fistula and symptoms on percussion. The tooth did not respond to the ice sensitivity test, and the radiographic examination showed a large deep filling on the crown’s distal aspect and an extra distal root (Figure 1). A diagnosis of pulp necrosis with chronic apical abscess was made, and root canal treatment was recommended.

 

Figure 1. Initial radiographic view revealing a deep crown filling and a second distal root.

 

After proper endodontic access was achieved, the dark lines of the pulp chamber floor revealed two root canal orifices in its mesial and distal portions. Distolingual canal negotiation made evident a more pronounced angulation on the canal entrance, suggesting this root as the additional one and making it possible to catalog it as an RE. After gaining the canal patency, the angulation was smoothly rectified using an SX file (ProTaper Gold, Dentsply Sirona, Switzerland), and all canals were shaped and disinfected. Two weeks after the initial appointment, the canals were obturated according to the description

above (Figures 2, 3, 4, and 5). At a 27-month follow-up, the patient was asymptomatic, her fistula had completely healed, and the periapical tissues appeared normal on radiographs. (Figure 6).

 

 

Figure 2. Pulp chamber floor with dark embryological lines after root canal shaping, showing four root canal entrances.

 

Figure 3. Master cone position radiographic confirmation.

 

Figure 4. Pulp chamber floor after root canal obturation.

 

Figure 5. Final root canal treatment radiograph. A second distal root can be seen.

 

Figure 6. A 27-month follow-up revealed no radiographic changes.

 

Case #2

A 35-year-old Caucasian female attended an endodontic appointment, reporting intense pain, mostly associated with cold drinks, on tooth 36. Oral and radiographic examination showed a deep amalgam filling and a third root between the usual mesial and distal roots (Figure 7). The ice sensitivity test confirmed prolonged pain lasting for over 30 seconds. A diagnosis of symptomatic irreversible pulpitis with normal apical tissues was made. Root canal treatment was suggested and accepted by the patient.

 

Figure 7. Initial radiographic condition showing a third root between the usual mesial and distal ones.

 

Following anesthesia, rubber dam isolation, and cavity access, the endings of the dark embryological lines in the pulp chamber floor were scouted using a DG16 endodontic explorer, revealing four root canal entrances (mesiobuccal, mesiolingual, distobuccal, and distolingual). The canal entrances were rectified using ultrasonic tips. The negotiation of the distolingual root canal and canal entrance was particularly challenging, and this additional root was defined as an RE. The root canals were then chemo-mechanically prepared and obturated, as previously described (Figures 8, 9, Figure 10, and Figure 10). At the 8-month follow-up, the tooth was asymptomatic, and its radiographic examination showed normal periapical tissues (Figure 12).

 

Figure 8. Pulp chamber floor showing four root canal orifices after root canal shaping.

 

Figure 9. Master cone fitting radiographic confirmation.

 

Figure 10. Pulp chamber view after root canal filling.

 

Figure 11. Final root canal treatment radiography.

 

Figure 12. The 8-month follow-up showed no radiographic changes.

 

Case #3

A 51-year-old Caucasian female came to an endodontic consultation reporting intense pain that tended to increase with cold on the right mandibular second molar (tooth 47). The patient’s examination showed that the tooth was symptomatic on percussion and had a large, deep resin filling (Figure 13).

 

Figure 13. Initial radiograph of tooth 47.

 

The ice sensitivity test recorded an intense and prolonged response. The patient was diagnosed with symptomatic irreversible pulpitis with symptomatic apical periodontitis and agreed to the root canal treatment suggested.

Prior to the treatment, the clinician examined a previously performed cone-beam computed tomographic volume and confirmed a three-rooted configuration. The disposition of the three roots enabled classifying the mesiobuccal root as an RP as it was off-centered, while the other two roots (mesial and distal) were very close and aligned mesiodistally (Figure 14). Following anesthesia, isolation, and endodontic access opening, an inspection of the chamber floor and its dark embryological lines revealed two root canal entrances in the mesial and distal parts of the chamber and a third entrance positioned off-centered toward the mesiobuccal direction. The root canal treatment followed the steps previously described (Figures 15, 16, 17 and 18). At the 6-month follow-up, the tooth, which was not definitively restored yet, was asymptomatic, and there was no radiographic evidence of apical pathology (Figure 19).

 

Figure 14. Cone-beam computed tomography axial slices of tooth 47: (a) pulp chamber with an off-center mesiobuccal deviation, (b) coronal portion, (c) middle portion showing an off-centered mesiobuccal root, (d) apical portion of the roots

 

Figure 15. Pulp chamber view revealing an off-centered root canal entrance toward a mesiobuccal direction.

 

Figure 16. Master cone radiograph

 

Figure 17. Pulp chamber view after root canal filling.

 

Figure 18. Post-endodontic treatment radiograph.

 

Figure 19. The 6-month follow-up radiograph showed no signs of apical pathology.

 

The patient was strongly advised to have an urgent appointment for the restoration.

Discussion and conclusions

These case reports emphasize the significance of comprehensive clinical and radiographic examinations and a thorough understanding of dental anatomy when diagnosing and treating teeth with RE or RP. These anatomical variations involve extra roots in mandibular molars, which, although uncommon, Figure 15. Pulp chamber view revealing an off-centered root canal entrance toward a mesiobuccal direction. Figure 17. Pulp chamber view after root canal filling. Figure 16. Master cone radiograph Figure 18. Post-endodontic treatment radiograph. can significantly influence the prognosis of endodontic treatment if the extra root canal is missed or if the canals are not adequately debrided.1, 3, 13 The successful treatment outcomes in all three cases relied on crucial factors, including precise identification of the extra root, accurate diagnosis, and effective management of these anatomical variations.

Detecting these additional roots before initiating treatment is essential to ensure accurate diagnosis and formulate appropriate treatment plans. However, it requires a meticulous examination of various crown features that may serve as indicators.

One such key feature is the presence of an extra cusp, often accompanied by a distinct distolingual lobe and cervical convexity, which should immediately raise suspicions of na additional root.9, 14 Furthermore, a comprehensive review of periapical radiographs, taken at various angulations, may reveal subtle yet crucial details indicating these additional roots.15 While it is feasible to identify an additional root using two-dimensional radiographs, previous studies have shown that cone-beam computed tomography (CBCT) is a superior method for assessing dental structures.16 17 CBCT not only excels at confirming the existence of anatomical variations such as additional root and missed canals, but it is also invaluable for precisely pinpointing their location and orientation.2, 18 This capability proves especially vital in distinguishing RE from RP.

Case #3 serves as a prime example of CBCT’s significance in making a definitive diagnosis that categorizes the additional root in the buccal plane as an RP, a task that might be considerably more challenging with only conventional periapical radiographs.

While recognizing the additional root’s presence is indeed pivotal, the subsequent location and effective cleaning of its canal can be a formidable challenge. Hence, the design of na appropriate access cavity holds paramount importance, as it not only guarantees superior visualization of the entire pulp chamber floor but also establishes a direct, unobstructed pathway to the canal orifices.9 19 The orifices of the additional root canals have been described as typically located in the lingual position, either mesially or distally from the distal root canal.20 This distinct positioning implies that the conventional access cavity preparation may not adequately expose these orifices, often requiring a larger access cavity.9, 10

When locating the canal’s orifice becomes challenging, a meticulous examination of the pulp chamber floor and walls, particularly in the distolingual region, becomes imperative.2

In the presented cases, careful evaluation of the pulpal floor by tracing the dark embryologic line with an endodontic explorer (DG16) was crucial for locating the canal. This approach helped unveil the overlaying remnants of the pulp roof that obscured the entrance to the root canal. The incorporation of a dental microscope proved to be immensely advantageous in locating the canals more precisely. These optical tools significantly enhance the accuracy of the examination, facilitating a more thorough and effective exploration of the intricate dental anatomy.21

Additionally, the canals within this extra root have been described as having smaller diameters and may exhibit curvatures in various portions, including the coronal, middle, or apical thirds, which increases the risk of encountering shaping errors during the endodontic procedure. These errors could manifest as root canal straightening, ledge creation, root canal transportation, or even inadvertent separation of

endodontic files.9, 10 Given these challenges, a cautious approach when preparing the canal is recommended by ensuring a smooth glide path with a small K file up to size 15 before using rotary files, as this initial preparation serves to reduce the torsional stress placed on the rotary files and helps ensure a more controlled and safe procedure.2, 9, 22 Also,

when shaping the canals, a conservative approach using files with less taper can help mitigate the risk of over-preparation and potential errors.6 By minimizing the extent of canal enlargement, clinicians can maintain the natural anatomy of the tooth and reduce the likelihood of complications associated with excessive dentin removal. In essence, these precautions and strategies are essential to navigate the complexities associated with the extra root, ensuring a safer and predictable result.

These cases highlight the importance of understanding the varying anatomical characteristics of mandibular molars and how careful identification of additional roots, coupled with advanced diagnostic tools and techniques, can lead to successful treatment outcomes.

 

References

1. Gulabivala, K, Ng YL. Factors that affect the outcomes of root canal treatment and retreatment – a reframing of the principles. Int Endod J. 2023;56:82-115.

2. Abella F, Mercadé M, Duran-Sindreu F, Roig M. Managing severe curvature of radixentomolaris: three- dimensional analysis with cone beam computed tomography. Int Endod J. 2011;44:876-85.

3. Hatipoğlu FP, Mağa G, Hatipoğlu Ö, Al-Khatib H, Elatrash AS, Abidin IZ, et al.. Assessment of the prevalence of radix entomolaris and distolingual canal in mandibular first molars in 15 countries: a multinational crosssectional study with meta-analysis. J Endod. 2023;49:1308-18.

4. Gulabivala K, Opasanon A, Ng YL, Alavi A. Root and canal morphology of Thai mandibular molars. Int Endod J. 2002;35:56-62.

5. Zhang R, Wang H, Tian YY, Yu X, Hu T, Dummer PMH. Use of cone‐beam computed tomography to evaluate root and canal morphology of mandibular molars in Chinese individuals. Int Endod J. 2011;44:990-9.

6. Abella F, Patel S, Durán‐Sindreu F, Mercadé M, Roig M. Mandibular first molars with disto‐lingual roots: review and clinical management. Int Endod J. 2012;45:963-78.

7. Pereira B, Martins JN, Baruwa AO, Meirinhos J, Gouveia J, Quaresma SA, et al. Association between endodontically treated maxillary and mandibular molars with fused roots and periapical lesions: a cone-beam computed tomography cross-sectional study. J Endod. 2020;46:771-7.

8. Martins JN, Nole C, Ounsi HF, Parashos P, Plotino G, Ragnarsson MF, et al. Worldwide assessment of the mandibular first molar second distal root and root canal: a cross-sectional study with meta-analysis. J Endod. 2022;48:223-33.

9. Calberson FL, De Moor RJ, Deroose CA. The radix entomolaris and paramolaris: clinical approach in endodontics. J Endod. 2007;33:58-63.

10. De Moor RJG, Deroose CAJG, Calberson FLG. The radix entomolaris in mandibular first molars: an endodontic challenge. Int Endod J. 2004;37:789-99.

11. Costa F, Pacheco-Yanes J, Siqueira Jr J, Oliveira ACS, Gazzano I, Amorim CA, et al. Association between missed canals and apical periodontitis. Int Endod J. 2019;52:400–6.

12. AAE Endodontic Case Difficulty Assessment Form and Guidelines. Available from: https://www.aae.org/specialty/wp-content/uploads/sites/2/2022/01/CaseDifficultyAssessmentFormFINAL2022.pdf. Accessed 16 May, 2024.

13. Meirinhos J, Martins JN, Pereira B, Baruwa AO, Ginjeira A. Prevalence of lateral radiolucency, apical root resorption and periapical lesions in Portuguese patients: a CBCT crosssectional study with a worldwide overview. Eur Endod J. 2021;6:56-71.

14. Gu Y, Lu Q, Wang H, Ding Y, Wang P, Ni L. Root canal morphology of permanent three-rooted mandibular first molars - part I: pulp floor and root canal system. J Endod. 2010;36:990-4.

15. Wang Q, Yu G, Zhou XD, Peters OA, Zheng QH, Huang DM. Evaluation of x-ray projection angulation for successful radix entomolaris diagnosis in mandibular first molars in vitro. J Endod. 2011;37:1063-8.

16. Baruwa AO, Martins JN, Pereira B, Meirinhos J, Ordinola‐Zapata R, Souza EM, et al. Prevalence of periapical lesions, root canal treatments and restorations in teeth adjacent to implant‐or tooth‐supported crowns: A multi‐centre crosssectional study. Int Endod J. 2022;55:30-7.

17. Michetti J, Maret D, Mallet JP, Diemer F. Validation of cone beam computed tomography as a tool to explore root canal anatomy. J Endod. 2010;36:1187-90.

18. Altun O, Duman SB, Bayrakdar IS, Yasa Y, Duman S, Yılmaz SG. Cone beam computed tomography imaging of superior semicircular canal morphology: a retrospective comparison of cleft lip/palate patients and normal controls. Acta Odontol Scand. 2018;76:247-52.

19. Nogueira FC, Pires MD, Baruwa AO, Pereira B, Martins JN, Ginjeira A. Root canal treatment of a maxillary second molar with four mesiobuccal root canals–a case report. Rev Port Estomatol Med Dent Cir Maxilofac. 2022;63:35-40.

20. Chen YC, Lee YY, Pai SF, Yang SF. The morphologic characteristics of the distolingual roots of mandibular first molars in a Taiwanese population. J Endod. 2009;35:643-5.

21. Pires MD, Baruwa AO, Martins JN, Quaresma SA, da Costa RP, Ginjeira A. Endodontic management of developmental anomalies: conservation of invaginated tissues in Type II dens invaginatus–case series. Rev Port Estomatol Med Dent Cir Maxilofac. 2019;60:18-26.

22. Berutti E, Negro AR, Lendini M, Pasqualini D. Influence of manual preflaring and torque on the failure rate of ProTaper rotary instruments. J Endod. 2004;30:228-30.

 

*Corresponding author:

Abayomi Omokeji Baruwa

E-mail address: baruwaabayomi@gmail.com

 

Conflict of interest

The authors have no conflicts of interest to declare.

 

Ethical disclosures

Protection of human and animal subjects. The authors declare that no experiments were performed on humans or animals for this study.

Confidentiality of data. The authors declare that they have followed their work center protocols on access to patient data and for its publication.

Right to privacy and informed consent. The authors have obtained the written informed consent of the patients or subjects mentioned in the article. The corresponding author is in possession of this document.

 

CRediT authorship contribution statement

Abayomi Omokeji Baruwa: Conceptualization, Investigation, Project administration, Writing – original draft, Writing – review & editing. Mariana Domingos Pires: Writing – original draft, Writing – review & editing, Project administration. Jorge N.R. Martins: Conceptualization, Investigation, Methodology, Project administration, Supervision, Writing – original draft, Writing – review & editing.

 

1646-2890/© 2024 Sociedade Portuguesa de Estomatologia e Medicina Dentária. Published by SPEMD.

This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).