Efficient construction of the hexacyclic ring core of palau'amine: the pKa concept for proceeding with unfavorable equilibrium reactions

Palau'amine has received a great deal of attention as an attractive synthetic target due to its intriguing molecular architecture and significant immunosuppressive activity, and we achieved its total synthesis in 2015. However, the synthesized palau'amine has not been readily applicable to the mechanistic study of immunosuppressive activity, because it requires 45 longest linear steps from a commercially available compound. Here, we report the short-step construction of the ABCDEF hexacyclic ring core of palau'amine. The construction of the CDE tricyclic ring core in a single step is achieved by our pKa concept for proceeding with unfavorable equilibrium reactions, and a palau'amine analog without the aminomethyl and chloride groups is synthesized in 20 longest linear steps from the same starting material. The palau'amine analog is confirmed to retain the immunosuppressive activity. The present synthetic approach for a palau'amine analog has the potential for use in the development of palau'amine probes for mechanistic elucidation.


Introduction
Pyrrole-imidazole alkaloids, which comprise a large family of natural products, have received a great deal of attention because of their potent biological activities and tremendous structural diversity. 1 In 1993, palau'amine (1) was originally isolated from a sponge, Stylotella agminate, by Scheuer as a novel class of pyrrole-imidazole alkaloids, 2 and its proposed structure was revised in 2007. 3 Since its discovery, 1 has been an attractive synthetic target due to its intriguing molecular architecture and signicant biological properties; these include antifungal, antitumor, and immunosuppressive activities, with the immunosuppressive activities being of particular interest to researchers. At least two studies reported on the mode of action of 1. 4 Thus, the development of molecular probes based on 1 is required for further elucidation of the potential of palau'amine as an immunosuppressive agent, and investigation into its structure-activity relationship (SAR) is also needed to drive it forward from the stage of a novel lead compound to that of a useful immunosuppressive agent. However, palau'amine is well known as a highly challenging synthetic target. Its noteworthy structural features include two guanidine moieties, a fused polycyclic system containing a spiro-cycle, a fully substituted complex cyclopentane ring, eight contiguous stereogenic centers including a nitrogen-substituted quaternary carbon center, and the trans-azabicyclo[3.3.0]octane skeleton (D/E ring junction). Not surprisingly, many attempts to synthesize palau'amine 3e,5 and related compounds 6 have been reported, and numerous reviews of these different approaches have been published. 7 Nonetheless, to date, there have been only two examples of the total synthesis of 1. Baran's group reported the rst total synthesis in 2010, 8 which was followed by the development of an asymmetric version in 2011, 9 and our group also achieved a total synthesis in 2015. 10 The key feature of our total synthesis was that a unique polycyclic ring system including a trans-azabicyclo[3.3.0]octane skeleton of 1 was constructed in advance and later converted to 1 by functional group transformations. This kind of approach is useful for elucidating the pharmacophore and for the development of palau'amine-based probes. We actually focused on the effects of the aminomethyl and chloride groups on the immunosuppressive activity. These functional groups were naturally considered signicant for the activity, because they may function as the nucleophilic and electrophilic groups for the specic functional group of the target protein. However, if the rigid polycyclic structure containing cyclic guanidino groups was more signicant for the activity and these functional groups have little effect, the aminomethyl group can serve as a potential position for labeling to develop palau'amine-based probes. In addition, the unstable chloride group, which makes synthesis and handling difficult, can be removed from probes. Thus, to elucidate the effect of these functional groups on the immunosuppressive activity, it was required to synthesize analog 2, in which the aminomethyl and chloride groups of 1 were removed, and evaluate its activity (Fig. 1). However, our previous synthetic route to 1 required too many steps (45 longest linear steps) to expand to SAR studies. Therefore, to realistically drive the mode of action study of 1 forward, further dramatic evolution of the construction method for the ABCDEF hexa-cyclic ring core was required. In the present study, we develop a new method for short-step construction of the ABCDEF hexa-cyclic ring core and evaluate the immunosuppressive activity of 2.

Results and discussion
Plan for the second-generation construction of a polycyclic ring core Our rst-generation total synthesis required many steps to construct the C and F rings aer the construction of the ABDE tetracyclic ring core. Thus, we designed a new synthetic route to construct the C and F rings efficiently. In particular, the C-ring would be constructed in a single step as follows (Fig. 2): 2 would be obtained by the functional group transformations of hexacyclic ring core 3. The B and F rings of 3 would be constructed from 4 by the reduction of the imide moiety on the C ring and the introduction of urea into the aminonitrile moiety, respectively. The CDE tricyclic ring core 4 would be formed by a cascade cyclization reaction of 6, in which the N-N bond cleavage giving 5 followed by the nucleophilic addition of an amide anion would form the D ring. In this substrate, subsequent nucleophilic addition would have also occurred from the isothiourea group to form the C ring. Thus, the cascade reaction of 6 could construct the C ring in a single step, in contrast to our previous C ring formation which required many steps. Since the formation of cyclic imides basically requires harsh conditions, construction of the C ring in this cascade reaction could be a challenging task. Moreover, cyclization from the carbamateprotected nitrogen of isothiourea, which has a very weak nucleophilicity, was anticipated to be particularly difficult. The short-step preparation of the cascade reaction precursor 6 is also key to the efficient synthesis of 2. The tetra-substituted carbon center of 6 would be constructed by the Strecker reaction of the pyrazoline 7. The pyrazoline ring of 7 would be constructed in one step by the 1,4-addition of hydrazine to enone 8 and hydrazone formation. The side chains of 8 would be introduced by the 1,4-addition and the Morita-Baylis-Hillman reaction of 2-cyclopenten-1-one 9.

Synthesis of the cascade cyclization precursor 6
We started the synthesis of the cyclization precursor 6 with 2cyclopenten-1-one 9, which was the same starting material as that for the rst-generation synthesis. The Morita-Baylis-Hillman reaction of 9 with ethyl glyoxylate afforded 10, 10,11 and subsequent direct addition of nitromethane and tetramethylguanidine (TMG) to the reaction mixture induced the 1,4addition reaction of nitromethane to give 11 in good yield. 10 The hydrogenative reduction of the nitro group in the presence of triuoroacetic acid (TFA) followed by treatment of the crude amine 12 with pyrrole trichloromethyl ketone 13 afforded the desired pyrrole amide 14. 10 The acylation of the secondary alcohol of 14 induced the E1cB elimination to give the desired enone 8 as a single stereoisomer. Next, treatment of 8 with hydrazine at 100 C produced the pyrazolidine ring by 1,4addition and hydrazone-forming reactions, 12 and because the resulting ring was not sufficiently stable for isolation and purication, benzyloxycarbonylthioisocyanate (CbzNCS) was directly added to introduce the thiourea, yielding 15 as an inseparable diastereomeric mixture. 3e,10 Treatment of the crude 15 with an excess amount of TFA and NaCN initiated the Strecker reaction of the desired diastereomer that possesses an a-aminomethyl side chain to give nitrile 16, 13 while the undesired diastereomer did not give the corresponding nitrile due to the steric repulsion of the b-side chain on the concave face. Development of the Strecker reaction on the pyrazoline ring enabled efficient construction of the tetra-substituted carbon center possessing nitrogen, which previously required many steps in the rst-generation synthesis. Next, thiourea 16 was converted into methylisothiourea 17, and the triuoroacetyl group as a strong electron-withdrawing group was introduced to the nitrogen on the tetra-substituted carbon center. 10 Because an excess amount of triuoroacetic anhydride needed to be introduced to the desired nitrogen, the pyrrole nitrogen was also acetylated to give 18. Finally, the triuoroacetyl group on the pyrrole nitrogen was selectively removed by transfer to benzylamine to afford the desired cascade cyclization precursor 6 in acceptable yield (Scheme 1).

The rst application of 6 to the cascade cyclization reaction
Having prepared the cascade cyclization precursor 6, we next attempted single-step construction of the CDE tricyclic ring system. First, treatment of 6 with 3.05 equiv. of lithium hexamethyldisilazide (LHMDS) under conditions similar to those used in the rst-generation synthesis 10 afforded a trace amount of the tricyclic compound 4 0 , which was later found to be a diastereomer at the C10 position. However, the major isolable product was isothiourea 19, and several trials of this reaction always yielded 19 as the major product and oen resulted in less than even a trace amount of 4 0 . The mechanism for the formation of isothiourea 19 was considered to be the following: the cascade reaction of N-N bond cleavage of 6A followed by addition of the amide anion to the imine moiety of 6B proceeded smoothly to give 6C. However, it was considered that the further cyclization reaction of 6C to give 6D hardly proceeded, because the highly reactive ethoxide generated by this conversion readily attacked the unstable cyclic imide moiety of 6D to return to the stable carbamate anion of 6C. This means that the equilibrium between 6C and 6D greatly favored the former. Quenching the reaction by protonation of the equilibrium mixture afforded 6E and a trace amount of 4 0 , and the former immediately opened the highly strained D ring by the electrondonating effect of the isothiourea moiety to give 6F. Subsequent hydrolysis of 6F afforded isothiourea 19 along with the decomposition of other fragments (Scheme 2). On the other hand, tricyclic 4 0 could be isolated, suggesting that the progress of the conversion of 6C into 6D is essential to obtain the transazabicylo[3.3.0]octane skeleton (D/E ring junction). Thus, we focused on proceeding with this disadvantageous conversion, considering that it might later be possible to invert the stereocenter at the C10 position. 5t

Application of selective protonation of the most reactive anion
A similar situation was observed in the rst-generation synthesis, 10 and we solved this problem as follows (Scheme 3a). The cascade reaction of 20 proceeded smoothly to construct Scheme 1 Synthesis of the cascade reaction precursor.
Scheme 2 Application of 6 to the cascade cyclization reaction. the D ring through a similar N-N bond cleavage followed by the addition of an amide anion. Aer checking the conversion of 20 to 20A by TLC, an exact 1.0 equiv. of acetic acid was added to the reaction mixture. The intermediate 20A possesses three nitrogen anions, and the most reactive Boc-carbamate anion was protonated (20A / 20B). Then, addition of the remaining pyrrole anion to the methyl ester formed a B ring along with the generation of the methoxide (20B / 20C). In this case, the methoxide did not attack the pyrrole amide of the B ring due to the active NH proton of Boc-carbamate, i.e., the methoxide preferentially abstracted the NH proton and was quenched (20C / 20D). In the case of the cascade reaction of 6 (Scheme 3b), the addition of 1.0 equiv. of acetic acid aer the formation of 6C would have protonated the pyrrole anion to give 6G, because the basicity of the three nitrogen anions of 6C decreased in the order pyrrole (<23), triuoroacetamide ($17), and acylisothiourea ($15) based on a comparison of the pK a values of the protonated NH functional groups. 14 Then, subsequent addition of the remaining acylisothiourea anion to the ethyl ester was expected to give 6H, simultaneously generating the ethoxide, which would not attack the cyclic imide moiety but rather would abstract the NH proton of pyrrole.
However, the protonation of the pyrrole anion induced an increase in the inductive effect of the pyrrole amide, so the acylisothiourea anion actually extruded the amide nitrogen of the D ring faster than the addition to the ethyl ester, opening the D ring to give 6I. The resulting 6I was readily decomposed, giving isothiourea 19 as with the previous reaction that did not add acetic acid. Therefore, it was found that the previous results of the rst-generation synthesis were not applicable to the cascade reaction of 6 in this study. As far as our study is concerned, the formation of cyclic imide from the less nucleophilic isothiourea was difficult, and we had to nd another strategy to proceed with the unfavorable equilibrium reaction from 6C to 6D. In addition, in the case of the active esters, such as hexauoroisopropyl ester, which generates a less reactive alkoxide instead of the ethoxide, the D-ring formation did not proceed because the reaction of the amide anion with the active esters took precedence. Further investigation of various precursors with other functional groups did not afford the desired CDE tricyclic compound (see Fig. S1 in the ESI †).
Discovery of Ph 2 NLi as the base for proceeding with the reaction from 6C to 4 0 We carefully reconsidered the reaction mechanism and focused on the alkoxide intermediate 6J (Scheme 4). Although the alkoxide intermediates are oen omitted when considering the addition reaction to carbonyl groups, we utilized this intermediate to procced with this disadvantageous cascade reaction as follows. The use of 3.2 equiv. of lithium diphenylamide (Ph 2 NLi) led to a similar D-ring forming reaction to give 6C, while simultaneously generating 3.0 equiv. of diphenylamine (Ph 2 NH). The equilibrium between 6C and 6J greatly favored the former because the anion of acylisothiourea 6C was much more stable than the alkoxide of 6J, but the small amount of 6J generated was protonated by the coexisting Ph 2 NH. This selective protonation of the alkoxide removed 6J from equilibrium to give 6K, and the equilibrium mixture of 6C and 6J nally converged into 6K. Quenching the reaction with 3.2 equiv. of acetic acid induced the elimination of ethanol to give 4 0 in 72% yield. Although Ph 2 NLi has rarely been used as a base, we came up with the use of this base as follows. The key to the cascade reaction forming the CDE ring core in a single step was the selective protonation of the generated alkoxide of 6J. Because the protonation of other anions, such as the pyrrole anion, induces rapid decomposition as described in Scheme 3, the protonation of only the alkoxide of 6J was essential despite the extremely low abundance of 6J in the equilibrium of 6C and 6J. Thus, we investigated the coexistence of appropriate acids that can protonate only a trace amount of the alkoxide of 6J and do not protonate other major anions. Comparing the pK a of conjugate acids of the six anions in the equilibrium between 6C and 6J, the most basic anion is the alkoxide of 6J ($32) and the second basic anion is the pyrrole anion ($23). Therefore, the appropriate pK a for a coexisting acid (YH) that can protonate the alkoxide but not the pyrrole anions was expected to be 23-32, and the diphenyl amine with a pK a of 25 in organic solvent was considered suitable as such an acid. Based on the above consideration, Ph 2 NLi was adopted as the base that can supply Ph 2 NH in situ aer the abstraction of protons. As we expected, the use of Ph 2 NLi afforded the CDE-tricyclic ring core in good yield, and we established an efficient and interesting reaction system in which the employed base functions not only as a base but also as an acid (Scheme 4).
Next, to conrm our pK a concept for proceeding with the unfavorable equilibrium reaction, similar reactions using other bases that generate conjugate acids with pK a beyond the range of 23-32 were examined. The use of lithium diethylamide (Et 2 NLi) or lithium diisopropylamide (LDA) as the base resulted in a complex mixture including isothiourea 19 as the major product, and the desired 4 0 was not detected. The pK a values of the conjugate acids of Et 2 NLi and LDA are 40 and 36, respectively, which are much higher than that of the alkoxide of 6J ($32), and the conjugate acids generated in situ, such as Et 2 NH and i Pr 2 NH, were not able to protonate the alkoxide of 6J. Thus, the reaction stopped at 6C, which was decomposed aer workup. Next, in the case of 3.0 equiv. of LHMDS, a trace amount of 4 0 was obtained as described in Scheme 2. Since the pK a value of 30 for conjugate acid (Me 3 Si) 2 NH is close to that of the conjugate acid of the alkoxide of 6J ($32), (Me 3 Si) 2 NH could protonate the alkoxide to give 6K, but the regenerated anion LHMDS also abstracted the hydrogen of the hydroxy group of 6K. Thus, the equilibrium between 6C and 6J was extended to 6K, but the stable anion 6C was greatly favored in this equilibrium so 6K was present in very small amounts, which resulted in a trace amount of 4 0 aer workup. To increase the abundance ratio of 6K in equilibrium, a similar reaction was conducted in the presence of an excess amount of (Me 3 Si) 2 NH as the coexisting acid, and the yield of 4 0 was improved to 36%. On the other hand, when lithium di-p-bromophenylamide ((p-Br-C 6 H 4 ) 2 NLi), which possesses an electron withdrawing bromo group on the phenyl ring, was adopted as the base having a pK a of the conjugate acid of less than 23, the reaction afforded only decomposition because the pyrrole anion of 6C, which is highly abundant in equilibrium, could be protonated by the generated conjugate acid (p-Br-C 6 H 4 ) 2 NH, and the protonated 6C was readily decomposed to 6G as shown in Scheme 3. Therefore, it was conrmed that the pK a of the conjugate acid was the signicant factor for proceeding with this disadvantageous reaction.

Concept of pK a for proceeding with the unfavorable equilibrium reaction
Because the above concept of pK a was considered to be applicable to various unfavorable equilibrium reactions, we proposed the following equation as a general concept for proceeding with such reactions (Fig. 3a). When treatment of A with a base provides the equilibrium between anions B and C in which the pK a of the conjugate acid of B is much lower than that of C, the equilibrium of the two anions is much more favorable to B as a stable anion. If anion C was the intermediate that leads to the desired product C-H by protonation, a simple workup will afford B-H as the major product instead of C-H. To obtain Scheme 4 Successful conversion of 6 to 4 0 .
C-H as the major product, only the anion of C should be quenched by the coexistence of a suitable acid that has a lower pK a than the conjugate acid of C and a higher pK a than the conjugate acid of B. Thus, assuming that the pK a values of the conjugate acids of B and C, and that of the coexisting acid (Y-H), are a 1 , a 2 , and a 3 , respectively, the adequate pK a of the coexisting acid (Y-H) holds the relationship a 1 < a 3 < a 2 (Fig. 3a). Of course, this pK a concept is observed as a matter of course by synthetic chemists, but it is generally mastered based on the knowledge and experience of the individual synthetic chemist and has not been made available as a general equation. Thus, we suggested the general equation based on the results of key reactions in the 1st generation synthesis and this synthetic study of palau'amine. In this synthetic study, the pK a of Ph 2 NH generated in situ as the coexisting acid is 25, and the pK a order is 6C (23) < Ph 2 NH (25) < 6J (32), which satises the general equation (Fig. 3b). In addition, in the rst-generation synthesis, although the equilibrium between the pyrrole anion of 20B and methoxide favored the former, the carbamate moiety (NHBoc) of cyclized 20C can be regarded as a coexisting acid that can protonate the methoxide. The pK a of Boc-carbamate (NHBoc) is estimated to be around 24, and the pK a order is the pyrrole anion of 20D (23) < NHBoc (24) < methoxide (28), which also satises the general equation (Fig. 3c). We are currently investigating the scope of the general equation.

Inversion of the stereocenter at the C10 position
Having synthesized the CDE tricyclic compound 4 0 in acceptable yield, we attempted the stereo inversion of the C10 position (Scheme 5). DFT studies have suggested that the desired conguration at the C10 position is thermodynamically 1.3 kcal mol À1 more stable than that of 4 0 due to the hydrogen bonding of the NH proton of triuoroamide to the nitrogen of the C-ring. Thus, epimerization under acidic conditions was investigated, 5t and it was found that treatment of 4 0 with 100 equiv. of TFA in cyclopentylmethylether (CPME) afforded the desired 4 in good yield. The inversion reaction was considered to proceed as follows: the most basic nitrogen of the C-ring was initially protonated to give 4A, and the C-ring was subsequently opened by the electron donation from the amide nitrogen of the D-ring so that the acyliminium intermediate 4B was formed. Ring closure of the C-ring by the addition of isothiourea to the acyliminium moiety afforded 4C, which was converted into the desired 4 by deprotonation. These reversible sequential reactions nally converged into thermodynamically stable 4.

Reduction of the C-ring carbonyl group
Next, selective reduction of the C-ring carbonyl group was required to form the B-ring. However, despite various examinations of the reducing agents and conditions, the reductive elimination of the Cbz group or triuoroacetyl group proceeded in preference to the reduction of the imide carbonyl group of the C-ring, suggesting that it was the least reactive carbonyl group among the three carbonyl groups of 4 (see Scheme S1 in the ESI †). Moreover, even aer various conversions of 4, the selective reduction was still difficult (see Scheme S2 in the ESI †). Thus, to overcome the low reactivity, we planned to utilize the neighboring effect of the triuoroacetyl group as follows: aer the generation of the amide anion by basic treatment, subsequent addition of BH 3 would form the borohydride with the oxygen of the aza enolate, which would selectively reduce the adjacent carbonyl group of the C-ring. However, sequential treatment of i PrOLi and BH 3 $SMe 2 mainly induced the reductive elimination of the triuoroacetyl group to give 24, and the yield of the desired hemiaminal 27 was very low. The main reason for this result was considered to be that the anion of aza enolate was located on the nitrogen and therefore formed the borohydride 23, reducing the triuoroacetyl group. Indeed, DFT studies demonstrated that the lithium-nitrogen bond shown in 22 was 3.06 kcal mol À1 more stable than the lithium-oxygen bond shown in 21 due to the stabilization of the lithium cation by the adjacent nitrogen of the C-ring. Thus, aer the treatment of i PrOLi, hexamethylphosphoric triamide (HMPA) was added to form oxygen anion 25, and direct addition of molecular sieves 4A (MS 4A) followed by BH 3 $SMe 2 resulted in the formation of 26, which was converted into the desired hemiaminal 27 (Scheme 6). MS 4A was required to remove the trace amount of water in THF that gradually decomposed the resulting 27 in the reaction mixture.

Synthesis of palau'amine analog 2
Having synthesized the CDE tricyclic core 27, we nally converted 27 to palau'amine analog 2 (Scheme 7). The mesylation of 27 induced the elimination of the hydroxy group to give the reactive acyliminium cation 28, which subsequently formed the B-ring by the addition of the pyrrole nitrogen, and ABCDE pentacyclic core 29 was obtained in 91% yield. Next, removal of the triuoroacetyl group was required for the construction of the F-ring. This time, the ndings in Scheme 6 were applied to the selective reductive elimination of the triuoroacetyl group. The nitrogen anion was initially generated by the addition of n BuLi, and subsequent treatment of BH 3 $SMe 2 without HMPA formed borohydride 30, which induced the reduction of the triuoroacetyl group to give 32. Because the aminonitrile 32 was not sufficiently stable for the purication step, the crude product was treated directly with isothiourea 33 to give 34 with the F-ring through the guanidine formation followed by the intramolecular addition to the nitrile. 15 The crude 34 was also directly used for the next reaction due to its instability and high polarity. The amidine moiety of 34 was triuoroacetylated for activation, and subsequent hydrolysis afforded amide 3 in 27% three-step yield from 29. The other methods and other analogs were unable to construct the F-ring (see Scheme S3 in the ESI †). DIBAL reduction of the amide moiety of 3 gave the aminal 35 in 72% yield. 16 Finally, the isothiourea group of the C-ring was oxidized to sulfoxide 36, and subsequent treatment with ammonium acetate afforded guanidine 37. 17 The crude 37 was directly deprotected by the sequential reactions of photoirradiation and hydrogenation for removal of the o-nitrobenzyl group and Cbz group, respectively, 10 and the palau'amine analog 2 was obtained without signicant byproducts. The HPLC purication using a Hydrosphere C18 gave pure 2 in 58% isolated yield from 35. 18 The structure of 2 was conrmed by NMR, HRMS, and comparison with palau'amine 1.

Biological test of palau'amine analog 2
The immunosuppressive activity of palau'amine analog 2 was examined (Fig. 4). To evaluate the effect of enantiomer on activity, enantiomers of synthetic intermediate 3 were separated by the chiral HPLC, and each enantiomer was similarly converted to (+)-2 and (À)-2, respectively. We still have a small amount of previously synthesized palau'amine 1 in stock, but since synthetic 1 is highly valuable (45-step synthesis), we have le it for future mechanistic studies. We previously found that Scheme 6 Selective reduction of the least reactive carbonyl group at the C6 position.
synthetic 1 and cyclosporine A (CSA) showed equivalent immunosuppressive activity at 100 mM. 10 Therefore, CSA was used as an activity index instead of valuable synthetic palau'amine 1 in this experiment. Lymphocytes derived from a mouse spleen were treated with 100 mM of an aqueous solution of synthetic (À)-2, (+)-2, or (AE)-2 for 1 h and then the cells were incubated with phorbol 12-myristate 13-acetate and lectin. 10,19 Aer incubation for 24 h, the interleukin-2 (IL-2) in the culture supernatant was measured by using an enzyme-linked immunosorbent assay kit. The palau'amine analog (AE)-2$2TFA salt was conrmed to retain immunosuppressive activity, as shown in Fig. 4. Thus, it was found that the chloride and the aminomethyl groups are not crucial for immunosuppressive activity. However, the immunosuppressive activity of (AE)-2 was lower than that of synthetic racemic palau'amine, which showed activity similar to that of cyclosporine A, 10 and these substituents were not completely independent of activity. Not surprisingly, one enantiomer, (À)-2, was more active than (AE)-2, but the opposite enantiomer (+)-2 also interestingly showed immunosuppressive activity. The activity of racemic (AE)-2 was just between those of the two enantiomers. Detailed mechanistic analysis of these immunosuppressive activities is the next research subject.

Conclusions
We have achieved a reduction in the number of steps required for the construction of the ABCDEF hexacyclic ring core of palau'amine as a second-generation synthesis. To shorten the number of steps for the formation of the C-ring, the isothiourea group was previously introduced to the cascade cyclization precursor. The cascade reaction of this precursor had to proceed through a very unfavorable intermediate in the equilibrium mixture. Thus, we established the pK a concept to overcome the disadvantageous reaction, which selectively protonated the unfavorable intermediate to remove it from equilibrium so that the equilibrium mixture converged into its protonated form. Since we considered that the pK a concept in Fig. 4 Immunosuppressive activity of palau'amine analog 2. Splenic lymphocytes from BALB/c mouse (male, 5 weeks old, Japan SLC, Shizuoka, Japan) were treated with an aqueous solution of (À)-2 (100 mM), (+)-2 (100 mM), (AE)-2 (100 mM), and cyclosporine A (100 mM) at 37 C for 1 h, and then the cells were incubated with phorbol 12myristate 13-acetate (PMA, 10 nM) and lectin (1.0 mg ml À1 ). After incubation for 24 h, the IL-2 in the culture supernatant was measured by using an ELISA kit. Values are means with standard deviation indicated by error bars (n ¼ 3, **P < 0.01, ***P < 0.001, F ¼ 345.9, 95% CI, df ¼ 10). Statistical differences between the groups were evaluated by one-way analysis of variance (ANOVA) with the Tukey post-hoc test using Prism 8 software (GraphPad Software, San Diego, CA, USA). The immunosuppressive activities were measured 2 times using independent splenic lymphocytes.
this cascade reaction is applicable to various disadvantageous reactions, a general equation was suggested. Although this pK a concept is observed as a matter of course by synthetic chemists, it is generally mastered based on the knowledge and experience of the individual chemist and has not been made available as a general equation. The scope and limitation of this pK a concept are currently being investigated in our laboratory. The pK a concept established in this study clearly enhanced the shortstep construction of the ABCDEF tetracyclic ring core, and the palau'amine analog 2 was actually obtained in only 20 steps from cyclopentenone 9 (longest linear sequence). Compared with the 45 steps required for the rst-generation synthesis of palau'amine 1, this constitutes a substantial reduction in steps. Indeed, this short-step synthesis allowed us to obtain over 100 mg of 3. However, large-scale synthesis of 2 has not been easy so far due to the instability of 2 under HPLC purication conditions. Only the Hydrosphere C18 among various columns was applicable to 2, but it also still induced partial decomposition. The development of the purication method such as recrystallization is the next issue to achieve large scale synthesis. Although the chloride and the aminomethyl groups were omitted, the immunosuppressive activity was retained. Thus, another point to be mentioned is that the aminomethyl group of palau'amine can serve as a potential position for the labeling of palau'amine analogs for functional studies, and the removal of the chloride group improved the stability of various probes. Another analog with an aminomethyl group could be synthesized based on this study without signicantly increasing the number of steps. For example, a protected aminomethyl or hydroxymethyl group would be pre-introduced at the 4-position of cyclopentenone, and its conversion in a sequence similar to that used in this study would provide the desired analog for a palau'amine probe. An application of this study to asymmetric synthesis, synthesis of related pyrrole-imidazole alkaloids, and development of palau'amine probes is currently underway in our laboratory.

Methods
General information, experimental details of the synthesis and biological test, spectral data, and 1 H and 13 C NMR charts are included in the ESI. † S.E.E., who performed the biological test in Fig. 4, has been educated in Animal Care and Animal Ethics in Tokushima University. Experiments using mice in Fig. 4 were approved by the Animal Care and Animal Ethics Committees of Tokushima University (No. T2019-47).

Data availability
Experimental or computational data associated with this article have been provided in the ESI. †

Author contributions
K. N. conceived the experiments and analyzed the results. E. O. performed the laboratory experiments and optimized the reaction conditions, and K. Takeuchi and A. N. helped with experiments. S. E. E., H. A. and T. I. performed a biological test of immunosuppressive activity. S. K. performed the DFT analysis of key intermediates. K. N. wrote the paper.

Conflicts of interest
There are no conicts to declare.