| Literature DB >> 34201676 |
Niwana Wangsawat1, Yu-Ming Ju2, Cherdchai Phosri3, Anthony J S Whalley4, Nuttika Suwannasai5.
Abstract
The diversity of Xylaria species associated with termite nests in northeast Thailand was investigated. Among the 14 taxa included in this study, 11 species and one variety were described as new, and another two species resemble the existing taxa, X. escharoidea and X. nigripes. The newly described taxa are X. chaiyaphumensis, X. conica, X. fulvescens, X. ischnostroma, X. margaretae, X. minima, X. reinkingii var. microspora, X. siamensis, X. sihanonthii, X. subintraflava, X. thienhirunae, and X. vinacea. Their morphological and cultural characteristics are described and illustrated, and their ITS, α-actin and β-tubulin sequences were analysed. A dichotomous key to the 17 species of Xylaria occurring in Thailand is provided.Entities:
Keywords: Ascomycota; Pseudoxylaria; Xylariaceae; systematics; taxonomy
Year: 2021 PMID: 34201676 PMCID: PMC8301132 DOI: 10.3390/biology10070575
Source DB: PubMed Journal: Biology (Basel) ISSN: 2079-7737
Taxa used in this study.
| Species | Collection Number | Country | GenBank Accession Number ITS | Reference | GenBank Accession Number Beta-Tubulin | Reference | GenBank Accession Number Alpha-Actin | Reference |
|---|---|---|---|---|---|---|---|---|
|
| HAST 89021904 | Taiwan | - | - | GQ495942 | [ | GQ449239 | [ |
|
| HAST 94070803 | Taiwan | - | - | GQ495941 | [ | GQ449238 | [ |
|
| HAST 89032207 | Taiwan | - | - | GQ495940 | [ | GQ449236 | [ |
|
| JDR 114 | French Guiana | - | - | EF025611 | [ | EF025596 | [ |
|
| HAST 89062903 | Taiwan | GU300079 | [ | GQ478214 | [ | GQ408901 | [ |
|
| JDR 113 | USA, Hawaiian Islands | - | - | GQ478211 | [ | GQ398234 | [ |
|
| HAST 90080610 | Taiwan | - | - | GQ470221 | [ | GQ389693 | [ |
|
| HAST 91020401 | Taiwan | - | - | GQ470220 | [ | GQ389692 | [ |
|
| JDR 236 | USA | - | - | EF025608 | [ | EF025593 | [ |
|
| WSP 88113001 | Taiwan | GU324760 | [ | GQ502720 | [ | GQ455449 | [ |
|
| JDR 99 | France | - | - | GQ470228 | [ | GQ398228 | [ |
|
| HAST 89062904 | Taiwan | - | - | EF025603 | [ | EF025588 | [ |
|
| HAST 623 | Taiwan | EU178738 | [ | GQ502711 | [ | GQ853046 | [ |
|
| JDR 865 | Thailand | GU322432 | [ | GQ487709 | [ | GQ438746 | [ |
|
| HAST 90080804 | Taiwan | GU322437 | [ | GQ495930 | [ | GQ438751 | [ |
| HAST 93082814 | Taiwan | GU339495 | [ | GQ478225 | [ | GQ421285 | [ | |
|
| HAST 95052001 | Taiwan | EU178739 | [ | GQ502713 | [ | GQ853048 | [ |
|
| HAST 91111214 | Taiwan | GU322459 | [ | GQ495953 | [ | GQ452363 | [ |
|
| JDR 162 | Thailand | GU300088 | [ | GQ478223 | [ | GQ408910 | [ |
|
| HAST 720 | Taiwan | EU179862 | [ | GQ502706 | [ | GQ853041 | [ |
|
| SWUF16-04.1 | Thailand | MT622777 | This study | - | - | - | - |
|
| SWUF16-11.4 | Thailand | MT622776 | This study | MW459236 | This study | MW459213 | This study |
|
| SWUF17-15.1 | Thailand | MT622774 | This study | - | - | MW459214 | This study |
|
| SWUF17-49.2 | Thailand | MT622775 | This study | - | - | MW459215 | This study |
|
| HAST 664 | Taiwan | EU179863 | [ | GQ502707 | [ | GQ853042 | [ |
|
| HAST 786 | French Guiana | GU300093 | [ | GQ487701 | [ | GQ421289 | [ |
|
| SWUF18-4.3 | Thailand | MT622786 | This study | - | - | MW459223 | This study |
|
| SWUF18-4.4 | Thailand | MT622787 | This study | MW459243 | This study | MW459224 | This study |
|
| 1145 | China | HM585020 | [ | HM585018 | [ | HM585017 | [ |
|
| HAST 398 | France | GU324748 | [ | GQ502697 | [ | GQ455441 | [ |
|
| GENT 159 | Papua New Guinea | - | - | GQ502702 | [ | GQ455446 | [ |
|
| HAST 515 | French West Indies | GU373810 | [ | GQ502701 | [ | GQ455445 | [ |
|
| JDR 189 | Thailand | GU322442 | [ | GQ495935 | [ | GQ438756 | [ |
|
| HAST 92092022 | Taiwan | GU322443 | [ | GQ495936 | [ | GQ438757 | [ |
|
| HAST 658 | Taiwan | EU179864 | [ | GQ502709 | [ | GQ853044 | [ |
|
| CLZhao TJ-1 | China | MK343687 | Unpublished | - | - | - | - |
|
| CLZhao TJ-2 | China | MK343688 | Unpublished | - | - | - | - |
|
| CLZhao TJ-3 | China | MK343689 | Unpublished | - | - | - | - |
|
| SWFU000021 | China | MK862248 | Unpublished | - | - | - | - |
|
| 274-CW107 | China | KU194333 | Unpublished | - | - | - | - |
|
| TF18 | China | MN509048 | Unpublished | - | - | - | - |
|
| Y-4 | China | KC462194 | Unpublished | - | - | - | - |
| SWUF17-35.1 | Thailand | MT622792 | This study | MW459227 | This study | MW459200 | This study | |
| SWUF17-38.1 | Thailand | MT622793 | This study | - | - | - | - | |
| SWUF17-39.1 | Thailand | MT622794 | This study | MW459228 | This study | MW459201 | This study | |
| SWUF17-39.2 | Thailand | MT622795 | This study | - | - | - | - | |
|
| HAST 491 | French West Indies | GU324753 | [ | GQ502705 | [ | GQ853040 | [ |
|
| SWUF17-27.2 | Thailand | MT622780 | This study | MW459238 | This study | MW459218 | This study |
|
| HAST 641 | Taiwan | EU179865 | [ | GQ502714 | [ | GQ853049 | [ |
|
| HAST 95082001 | Taiwan | GU300095 | [ | GQ487703 | [ | GQ427195 | [ |
|
| HAST 553 | French West Indies | GU322441 | [ | GQ495934 | [ | GQ438755 | [ |
|
| HAST 99090301-1251 | Taiwan | MN655979 | [ | MN656983 | [ | MN656985 | [ |
|
| HAST 90080402 | Taiwan | GU324741 | [ | GQ502690 | [ | GQ452375 | [ |
|
| HAST 725 | Taiwan | EU179866 | [ | GQ502718 | [ | GQ853053 | [ |
|
| SWUF18-22.1 | Thailand | MT622788 | This study | MW459244 | This study | MW459225 | This study |
|
| HAST 92042501 | Taiwan | GU322439 | [ | GQ495932 | [ | GQ438753 | [ |
|
| HAST 95,072,910 | Taiwan | GU324747 | [ | GQ502696 | [ | GQ455440 | [ |
| HAST 508 | French West Indies | GU324739 | [ | GQ502688 | [ | GQ452373 | [ | |
|
| SWUF17-34.1 | Thailand | MT622778 | This study | - | - | MW459216 | This study |
|
| SWUF17-34.2 | Thailand | MT622779 | This study | MW459237 | This study | MW459217 | This study |
|
| SWUF18-3.2 | Thailand | MT622789 | This study | MW459245 | This study | MW459226 | This study |
|
| HAST 580 | French West Indies | GU300098 | - | GQ487705 | [ | GQ427198 | [ |
|
| HAST 653 | Taiwan | GU324755 | [ | GQ502710 | [ | GQ853045 | [ |
|
| Xn1 | China | MK748600 | Unpublished | - | - | - | - |
|
| Xn-6 | China | JQ967448 | Unpublished | - | - | - | - |
|
| Xn-7 | China | JQ979095 | Unpublished | - | - | - | - |
|
| CWF | Taiwan | KJ627787 | Unpublished | - | - | - | - |
|
| 420526MF0342 | China | MG712340 | Unpublished | - | - | - | - |
|
| Hf-1A | Taiwan | JQ927570 | Unpublished | - | - | - | - |
|
| 4-29 | China | HM050414 | Unpublished | - | - | - | - |
|
| ZD17052101 | China | MN523323 | Unpublished | - | - | - | - |
| SWUF17-31.2 | Thailand | MT622790 | This study | MW459229 | This study | MW459202 | This study | |
| SWUF17-36.1 | Thailand | MT622791 | This study | - | - | MW459203 | This study | |
|
| HAST 401 | Taiwan | EU179869 | [ | GQ502717 | [ | GQ853052 | [ |
|
| HAST 784 | French Guiana | GU300092 | [ | GQ487700 | [ | GQ421288 | [ |
|
| HAST 93082805 | Taiwan | GU322461 | [ | GQ452365 | [ | GQ495955 | [ |
|
| HAST 91122401 | Taiwan | GU324740 | [ | GQ502689 | [ | GQ452374 | [ |
|
| JDR1012 | USA | GU322460 | [ | GQ495954 | [ | GQ452364 | [ |
| SWUF17-19.1 | Thailand | MT622769 | This study | MW459234 | This study | MW459209 | This study | |
|
| KA11-0060-1 | South Korea | NR153251 | [ | - | - | - | - |
|
| KA11-0060-2 | South Korea | KM817200 | [ | - | - | - | - |
|
| SWUF17-20.2 | Thailand | MT622765 | This study | MW459233 | This study | MW459208 | This study |
|
| SWUF17-20.3 | Thailand | MT622766 | This study | - | - | - | - |
|
| SWUF17-20.4 | Thailand | MT622767 | This study | - | - | - | - |
|
| SWUF17-20.6 | Thailand | MT622768 | This study | - | - | - | - |
|
| SWUF18-5.1 | Thailand | MT622784 | This study | MW459241 | This study | MW459221 | This study |
|
| SWUF18-1.3 | Thailand | MT622785 | This study | MW459242 | This study | MW459222 | This study |
|
| HAST 304 | Taiwan | GU300089 | [ | GQ478224 | [ | GQ421284 | [ |
|
| HAST 660 | Taiwan | GU324754 | [ | GQ502708 | [ | GQ853043 | [ |
|
| HAST 99060401-1188 | Taiwan | MN655980 | [ | MN656984 | [ | MN656986 | [ |
|
| SWUF16-4.3 | Thailand | MT622762 | This study | MW459230 | This study | MW459204 | This study |
|
| SWUF16-11.1 | Thailand | MT622763 | This study | - | - | MW459205 | This study |
|
| SWUF17-9.2 | Thailand | MT622758 | This study | - | - | - | - |
|
| SWUF17-13.1 | Thailand | MT622759 | This study | - | - | - | - |
|
| SWUF17-22.2 | Thailand | MT622764 | This study | MW459231 | This study | MW459206 | This study |
|
| SWUF17-24.2 | Thailand | MT622757 | This study | MW459232 | This study | MW459207 | This study |
|
| SWUF18-9.1 | Thailand | MT622760 | This study | - | - | - | - |
|
| SWUF18-9.2 | Thailand | MT622761 | This study | - | - | - | - |
|
| YMJ 1375 | Taiwan | MF577042 | [ | MF577044 | [ | MF577045 | [ |
|
| SWUF16-6.2 | Thailand | MT622770 | This study | MW459235 | This study | MW459210 | This study |
|
| SWUF16-7.2 | Thailand | MT622772 | This study | - | - | - | - |
|
| SWUF16-10.1 | Thailand | MT622773 | This study | - | - | MW459211 | This study |
|
| SWUF17-44.1 | Thailand | MT622771 | This study | - | - | MW459212 | This study |
|
| HAST 88113002 | Taiwan | GU300091 | [ | GQ487699 | [ | GQ421287 | [ |
|
| SWUF18-2.1 | Thailand | MT622781 | This study | MW459239 | This study | MW459219 | This study |
|
| SWUF18-2.3 | Thailand | MT622782 | This study | - | - | - | - |
|
| SWUF18-2.10 | Thailand | MT622783 | This study | MW459240 | This study | MW459220 | This study |
| HAST 642 | Taiwan | GU324759 | [ | GQ502719 | [ | GQ853054 | [ | |
| HAST 722 | Taiwan | GU324756 | [ | GQ502712 | [ | GQ853047 | [ | |
| HAST 646 | Taiwan | GU324757 | [ | GQ502715 | [ | GQ853050 | [ | |
| HAST 650 | Taiwan | GU324758 | [ | GQ502716 | [ | GQ853051 | [ | |
| ASMC3 | Vietnam | EU164404 | [ | - | - | - | - | |
| AAG5 | Africa | EU164400 | [ | - | - | - | - | |
| HNHB | China | FN812862 | Unpublished | - | - | - | - | |
| D12 | China | KC414236 | Unpublished | - | - | - | - | |
| TF37 | China | MN526593 | Unpublished | - | - | - | - | |
| 4-E7-2 | China | FN812842 | Unpublished | - | - | - | - | |
| 342.D | South Africa | FJ425676 | [ | - | - | - | - | |
| 341 | South Africa | FJ425675 | [ | - | - | - | - |
Figure 1Phylogenetic tree inferred from Bayesian analysis based on ACT-TUB sequences of Xylaria and related genera. Branches are labelled with Bayesian posterior probabilities and bootstrap values from BI and ML analyses, respectively. Poronia pileiformis (WSP 88113001) is the outgroup.
Figure 2Phylogenetic tree inferred from Bayesian analysis based on a data set of ITS sequences of Xylaria and related species from termite nest or soil. Branches are labelled with Bayesian posterior probabilities and bootstrap values from BI and ML analyses, respectively. Poronia pileiformis (WSP 88113001) is the outgroup.
Figure 3Xylaria chaiyaphumensis (SWUF17-49.2). (A) Stroma. (B) Wrinkled stromatal surface with ostioles. (C) Ascospores. (D) Ascus with ascospores. (E) Apical ring. (F) Germ slit (arrowed). (G) Wrinkled stromata surface with ostioles. (H) Colony on PDA in a 9 cm Petri dish at 4 weeks. Xylaria conica (SWUF18-4.4). (I) Natural habit of stroma. (J) Stromata. (K,L) Stromata surface with ostioles. (M) Ascospores. (N) Ascus with ascospores. (O) Apical ring. (P) Ascospore with germ slit (arrowed). (Q) Colony on PDA in a 9 cm Petri dish at 4 weeks. (C,G,L,M) by SEM; (D–F,N–P) by DIC. Scale bars (A,H–J,Q) = 1 cm; (B,K) = 1 mm; (C–F,M–P) = 5 µm; (G) = 20 µm; (L) = 100 µm.
Figure 4Xylaria cf. escharoidea (SWUF17–38.1). (A) Stroma. (B) Stromatal surface with ostioles. (C) Ascus with ascospores. (D) Ostiole. (E) Ascospores. (F) Colony on PDA in a 9 cm Petri dish at 4 weeks. Xylaria fulvescens (SWUF17-27.2). (G) Stroma. (H) Wrinkled stromatal surface with ostioles. (I) Ascospores. (J) Ascus and ascospores. (K) Germ slit (arrowed). (L) Colony on PDA in a 9 cm Petri dish at 4 weeks. (D,E,I) by SEM; (C,J,K) by DIC. Scale bars (A,F–G,L) = 1 cm; (B,H) = 1 mm; (C,E,I–K) = 5 µm; (D) = 20 µm.
Figure 5Xylaria ischnostroma (SWUF18-22.1). (A) Stroma. (B) Stromatal surface with ostioles. (C) Ostioles. (D) Ascospores and apical rings. (E) Ascospores with germ slits (arrowed). (F) Ascospores. (G) Colony on PDA in a 9 cm Petri dish at 4 weeks. Xylaria margaretae (SWUF17-34.1). (H) Natural habit of stromata. (I) Wrinkled stromata surface with ostioles. (J) Asci with ascospores. (K) Germ slit (arrowed). (L) Ostioles. (M) Ascospores. (N) Colony on PDA in a 9 cm Petri dish at 4 weeks. (C,F,L,M) by SEM; (D,E,J,K) by DIC. Scale bars (A,G,H,N) = 1 cm; (B,I) = 1 mm; (C,L) = 100 µm; (D–F,J,K,M) = 5 µm.
Figure 6Xylaria minima (SWUF18-3.2). (A) Stroma. (B) Stromatal surface with ostioles. (C) Ascospores and apical ring. (D) Germ slit (arrowed). (E,F) Anamorph. (G) Ascospores. (H) Colony on PDA in a 9 cm Petri dish at 4 weeks. Xylaria cf. nigripes (SWUF17–31.2). (I) Stroma. (J) Stromata surface with ostioles. (K) Ascospores with germ slits (arrowed). (L) Ascospores. (M) Colony on PDA in a 9 cm Petri dish at 4 weeks. (G,L) by SEM; (D,E,F,K) by DIC. Scale bars (A,H,I,M) = 1 cm; (B,J) = 1 mm; (C,D,E–G,K,L) = 5 µm.
Figure 7Xylaria reinkingii var. microspora (SWUF17-19.1). (A) Natural habit of stroma. (B) Stroma. (C) Stromatal surface with ostioles. (D) Ostioles with ascospores. (E) Ascospores. (F) Ascus with ascospores. (G) Germ slits (arrowed). (H) Colony on PDA in a 9 cm Petri dish at 4 weeks. Xylaria siamensis (SWUF17-20.3). (I) Natural habit of immature stromata. (J) Stroma. (K) Anamorph. (L) Colony on OA in a 9 cm Petri dish at 4 weeks. (M,N) Wrinkled stromata surface with ostioles. (O) Ascospores. (P) Ascus with ascospores. (Q) Conidia. (R) Ascospores and germ slits (arrowed). (D,E,N,O) by SEM; (F–G,K,P–R) by DIC. Scale bars (A,B,H–J,L) = 1 cm; (C,M) = 1 mm; (D) = 20 µm; (E–G,K,O–R) = 5 µm; (N) = 100 µm.
Figure 8Xylaria sihanonthii (SWUF18-1.3). (A) Stromata. (B) Stromatal surface with ostioles. (C) Asci with ascospores. (D) germ slits (arrowed). (E) Ascospores. (F) Colony on PDA in a 9 cm Petri dish at 4 weeks. Xylaria subintraflava (PK17-24.2). (G) Stroma. (H) Wrinkled stromata surface with ostioles. (I) Ostiole. (J) Ascospores. (K) Anamorph. (L) Conidia. (M) Germ slit (arrowed). (N) Asci and ascospores. (O) Colony on PDA in a 9 cm Petri dish at 4 weeks. (E,I,J) by SEM; (C,D,K–N) by DIC. Scale bars (A,F,G,O) = 1 cm; (B,H) = 1 mm; (C–E,J–N) = 5 µm; (I) = 20 µm.
Figure 9Xylaria thienhirunae (SWUF17-44.1). (A) Stroma. (B) Wrinkled stromatal surface with ostioles. (C) Ostiole. (D) Ascus and ascospores. (E) Colony on PDA in a 9 cm Petri dish at 4 weeks. (F) Ascospores. (G) Germ slit (arrowed). Xylaria vinacea (SWUF18-2.10). (H) Natural habit of stromata. (I,J) Wrinkled stromata surface with ostioles. (K) Ascospores. (L) Ascus with ascospores. (M) Ascospores with germ slits (arrowed). (N) Colony on PDA in a 9 cm Petri dish at 2 weeks. (O,P) Anamorphs. (C,J,K) by SEM; (D,F,G,L,M,O,P) by DIC. Scale bars (A,E,H,N) = 1 cm; (B,I) = 1 mm; (C) = 20 µm; (D,F,G,K,M,O,P) = 5 µm; (J) = 100 µm.
A key to species of Xylaria associated with termite nests and soil in Thailand.
| 1. Ascospores with a median germ pore, (3.6–)3.9–4.7(–5) × (2.35–)2.5–3.2(–3.5) µm |
|
| 1. Ascospores with a germ slit | 2 |
| 2. Stromata usually repeatedly branched, with prominent perithecial mounds, ascospores shorter than 6 µm | 3 |
| 2. Stromata unbranched or sparingly branched, perithecia naked or presenting either inconspicuous or conspicuous perithecial mounds | 4 |
| 3. Stromatal surface white when immature, becoming blackish at maturity; ascospores ellipsoid-inequilateral, germ slit straight spore-length or nearly on flattened side, 5.0–6.0 × 2.5–3.5 µm |
|
| 3. Stromatal surface dull coloured, becoming blackish at maturity; ascospores short fusoid-inequilateral, 3.5–5.0 × 2.0–3.0 µm | |
| 4. Ascospores > 10 µm, germ slit straight full spore-length | 5 |
| 4. Ascospores < 10 µm, germ slit straight 3/4 or full spore-length | 7 |
| 5. Stromal surface whitish to greyish with black ostioles; ascospores blackish-brown,(11–)14.0–19.4 × (6.5–)7.0–10.0 µm | |
| 5. Stromatal surface blackish-brown to black with black ostioles; ascospores light brown, brown to dark brown, frequently < 14 µm | 6 |
| 6. Perithecia immersed, usually with prominent perithecial mounds; ascospores ellipsoid-inequilateral with narrowly rounded ends, (10–)10.8–12.3(–13.2) × 4.5–6(–6.4) µm; apical apparatus 4–4.5 × 2–3 µm |
|
| 6. Perithecia naked or nearly so; ascospores ellipsoid-inequilateral with narrowly rounded ends, some pinched at the ends,10.3–11.6(–12) × 4.8–5.6 µm; apical apparatus 1.5–2 × 2–3 µm |
|
| 7. Stromatal surface white at maturity; ascospores 5.4–6(–6.3) × 2.4–3.0 µm, straight germ slit nearly spore-length on convex side | |
| 7. Stromatal surface other than white, usually dull coloured at maturity | 8 |
| 8. Stromata usually more or less cylindrical, often exceeding 3 mm in diameter | 9 |
| 8. Stromata usually slender, fusiform to cylindrical, rarely exceeding 3 mm in diameter | 12 |
| 9. Stromatal surface blackish-brown to black or dark brick; ascospores mostly longer than 5 µm | 10 |
| 9. Stromatal surface ochraceous to fawn, luteous, greyish or dull black; ascospores mostly shorter than 5 µm | 11 |
| 10. Perithecia presenting very conspicuous mounds, blackish-brown; ostioles conic-papillate; ascospores 7.5–9.5 × (3.2–)3.5–4.5 µm |
|
| 10. Perithecia immersed, brown; ostioles papillate; ascospores 6.7–8 × 2.8–3.7 µm |
|
| 11. Stromata acuminate at the apex, unbranched, ochraceous to yellowish-brown on surface; ascospores inequilateral, 4–5 × 1.8–2.5 µm | |
| 11. Stromata usually blunt or, infrequently, mucronate at the apex, greyish-brown on surface; ascospores slightly inequilateral to nearly equilateral, 3.5–5 × 2–3 µm | |
| 12. Ascospores mostly > 5 µm | 13 |
| 12. Ascospores mostly < 5 µm | 14 |
| 13. Stromata very thin, 0.5–1 mm broad; perithecia naked or so on, hairy; ascospores 5.8–6.8 × 2.7–3.2 µm |
|
| 13. Stromata slender, perithecia immersed, forming conspicuous mounds, without hair; ascospores (4.5–)5–6.2 × 2.2–3 µm |
|
| 14. Ascospores short, fusoid, pinched at the ends | 15 |
| 14. Ascospores ellipsoid-inequilateral to nearly equilateral with narrowly rounded ends | 16 |
| 15. Perithecia 0.3–0.7 mm diameter, 3–4 ostioles/mm; ostioles conic-papillate; ascospores fusoid with pinched ends, 4–5(–5.7) × (2.5–)3–3.8 µm; germ slit of half-full ascospore length |
|
| 15. Perithecia 0.5–0.8 mm diameter, 2–3 ostioles/mm; ostioles conic-papillate; ascospores fusoid with pinched ends, 4–5.2(–5.7) × 2.7–4 µm; germ slit full ascospore length |
|
| 16. Stromatal surface longitudinally wrinkled with long stipes, unbranched with fertile parts; ascospores 3.5–5 × 1.8–2.5 µm |
|
| 16. Stromatal surface wrinkled with acuminate at apex, without fertile parts, unbranched or two-branched at apex; ascospores (3.2–)3.8–5 × (1.8–)2–2.5 µm |
|
* See Srihanant and Petcharat [10].