Structure-aided optimization of non-nucleoside M. tuberculosis thymidylate kinase inhibitors.

Mycobacterium tuberculosis thymidylate kinase (MtTMPK) has emerged as an attractive target for rational drug design. We recently investigated new families of non-nucleoside MtTMPK inhibitors in an effort to diversify MtTMPK inhibitor chemical space. We here report a new series of MtTMPK inhibitors by combining the Topliss scheme with rational drug design approaches, fueled by two co-crystal structures of MtTMPK in complex with developed inhibitors. These efforts furnished the most potent MtTMPK inhibitors in our assay, with two analogues displaying low micromolar MIC values against H37Rv Mtb. Prepared inhibitors address new sub-sites in the MtTMPK nucleotide binding pocket, thereby offering new insights into its druggability. We studied the role of efflux pumps as well as the impact of cell wall permeabilizers for selected compounds to potentially provide an explanation for the lack of correlation between potent enzyme inhibition and whole-cell activity.

Bacterial Cytological Profiling Identifies Rhodanine-Containing PAINS Analogs as Specific Inhibitors of Escherichia coli Thymidylate Kinase In Vivo.

In this study, we sought to determine whether an in vivo assay for studying antibiotic mechanisms of action could provide insight into the activity of compounds that may inhibit multiple targets. Thus, we conducted an activity screen of 31 structural analogs of rhodanine-containing pan-assay interference compounds (PAINS). We identified nine active molecules against Escherichia coli and classified them according to their in vivo mechanisms of action. The mechanisms of action of PAINS are generally difficult to identify due to their promiscuity. However, we leveraged bacterial cytological profiling, a fluorescence microscopy technique, to study these complex mechanisms. Ultimately, we found that although some of our molecules promiscuously inhibit multiple cellular pathways, a few molecules specifically inhibit DNA replication despite structural similarity to related PAINS. A genetic analysis of resistant mutants revealed thymidylate kinase (essential for DNA synthesis) as an intracellular target of some of these rhodanine-containing antibiotics. This finding was supported by in vitro activity assays, as well as experiments utilizing a thymidylate kinase overexpression system. The analog that demonstrated the half-maximal inhibitory concentration in vitro and MIC in vivo displayed the greatest specificity for inhibition of the DNA replication pathway, despite containing a rhodamine moiety. Although it is thought that PAINS cannot be developed as antibiotics, this work showcases novel inhibitors of E. coli thymidylate kinase. Moreover, perhaps more importantly, this work highlights the utility of bacterial cytological profiling for studying the in vivo specificity of antibiotics and demonstrates that bacterial cytological profiling can identify multiple pathways that are inhibited by an individual molecule. IMPORTANCE We demonstrate that bacterial cytological profiling is a powerful tool for directing antibiotic discovery efforts because it can be used to determine the specificity of an antibiotic's in vivo mechanism of action. By assaying analogs of PAINS, molecules that are notoriously intractable and nonspecific, we (surprisingly) identify molecules with specific activity against E. coli thymidylate kinase. This suggests that structural modifications to PAINS can confer stronger inhibition by targeting a specific cellular pathway. While in vitro inhibition assays are susceptible to false-positive results (especially from PAINS), bacterial cytological profiling provides the resolution to identify molecules with specific in vivo activity.

Synthesis, Molecular Docking, and Biofilm Formation Inhibitory Activity of Bis(Indolyl)Pyridines Analogues of the Marine Alkaloid Nortopsentin.

An efficient and simple protocol for the synthesis of a new class of diverse bis(indolyl)pyridines analogues of the marine alkaloid nortopsentin has been reported. A one-pot four-component condensation of 3-cyanocarbomethylindole, various aldehyde, 3-acetylindole, and ammonium acetate in glacial acetic acid led to the formation of 2,6-bis(1H-indol-3-yl)-4-(substituted-phenyl)pyridine-5-carbonitriles. Additionally, 2,6-bis(1H-indol-3-yl)-4-(benzofuran) pyridine-5-carbonitriles were prepared via a one-pot four-component condensation of 3-cyanocarbomethylindole, various N-substituted-indole-3-aldehydes, 2-acetylbenzofuran, and ammonium acetate. The synthesized compounds were evaluated for their ability to inhibit biofilm formation against the Gram-positive bacterial reference strains Staphylococcus aureus ATCC 6538 and the Gram-negative strain Escherichia coli ATCC 25922. Some of the new compounds showed a marked selectivity against the Gram-positive and Gram-negative strains. Remarkably, five compounds 4b, 7a, 7c, 7d and 8e demonstrated good antibiofilm formation against S. aureus and E. coli. On the other hand, the release of reducing sugars and proteins from the treated bacterial strains over the untreated strains was considered to explain the disruption effect of the selected compound on the contact cells of S. aureus and E. coli. Out of all studied compounds, the binding energies and binding mode of bis-indole derivatives 7c and 7d were theoretically the best thymidylate kinase, DNA gyrase B and DNA topoisomerase IV subunit B inhibitors.

Endeavors towards transformation of M. tuberculosis thymidylate kinase (MtbTMPK) inhibitors into potential antimycobacterial agents.

As the last enzyme in nucleotide synthesis as precursors for DNA replication, thymidylate kinase of M. tuberculosis (MtbTMPK) attracts significant interest as a target in the discovery of new anti-tuberculosis agents. Earlier, we discovered potent MtbTMPK inhibitors, but these generally suffered from poor antimycobacterial activity, which we hypothesize is due to poor bacterial uptake. To address this, we herein describe our efforts to equip previously reported MtbTMPK inhibitors with targeting moieties to increase the whole cell activity of the hybrid analogues. Introduction of a simplified Fe-chelating siderophore motif gave rise to analogue 17 that combined favorable enzyme inhibitory activity with significant activity against M. tuberculosis (MIC of 12.5 µM). Conjugation of MtbTMPK inhibitors with an imidazo[1,2-a]pyridine or 3,5-dinitrobenzamide scaffold afforded analogues 26, 27 and 28, with moderate MtbTMPK enzyme inhibitory potency, but sub-micromolar activity against mycobacteria without significant cytotoxicity. These results indicate that conjugation with structural motifs known to favor mycobacterial uptake may be a valid approach for discovering new antimycobacterial agents.

Synthesis and structure activity relationships of cyanopyridone based anti-tuberculosis agents.

Mycobacterium tuberculosis, the causative agent of tuberculosis, relies on thymidylate kinase (MtbTMPK) for the synthesis of thymidine triphosphates and thus also DNA synthesis. Therefore, this enzyme constitutes a potential Achilles heel of the pathogen. Based on a previously reported MtbTMPK 6-aryl-substituted pyridone inhibitor and guided by two co-crystal structures of MtbTMPK with pyridone- and thymine-based inhibitors, we report the synthesis of a series of aryl-shifted cyanopyridone analogues. These compounds generally lacked significant MtbTMPK inhibitory potency, but some analogues did exhibit promising antitubercular activity. Analogue 11i demonstrated a 10-fold increased antitubercular activity (MIC H37Rv, 1.2 µM) compared to literature compound 5. Many analogues with whole-cell antimycobacterial activity were devoid of significant cytotoxicity.

1-(1-Arylethylpiperidin-4-yl)thymine Analogs as Antimycobacterial TMPK Inhibitors.

A series of Mycobacterium tuberculosis TMPK (MtbTMPK) inhibitors based on a reported compound 3 were synthesized and evaluated for their capacity to inhibit MtbTMPK catalytic activity and the growth of a virulent M. tuberculosis strain (H37Rv). Modifications of the scaffold of 3 failed to afford substantial improvements in MtbTMPK inhibitory activity and antimycobacterial activity. Optimization of the substitution pattern of the D ring of 3 resulted in compound 21j with improved MtbTMPK inhibitory potency (three-fold) and H37Rv growth inhibitory activity (two-fold). Moving the 3-chloro substituent of 21j to the para-position afforded isomer 21h, which, despite a 10-fold increase in IC50-value, displayed promising whole cell activity (minimum inhibitory concentration (MIC) = 12.5 µM).

Pemetrexed inhibits Kaposi's sarcoma-associated herpesvirus replication through blocking dTMP synthesis.

Kaposi's sarcoma-associated herpesvirus (KSHV) is the etiologic agent of Kaposi's sarcoma, primary effusion lymphoma, and multicentric Castleman's disease. In immunocompromised patients, KSHV infection is capable of causing severe and fatal diseases. Current antiviral treatments for KSHV infections consist mostly of nucleoside analogs, all of which target viral polymerases and are associated with adverse effects and drug resistance. By screening an FDA-approved drug library, we identified pemetrexed as a potent anti-KSHV agent, with an IC50 of 90 nM. Characterization of the antiviral properties of pemetrexed revealed that it interferes with the lytic replication of viral DNA, resulting in the reduction of infectious virions. The antiviral effect of pemetrexed depends on the dTMP synthesis pathway that requires the folate-dependent enzymes. Besides, pemetrexed shows a broad spectrum of anti-herpes virus activity. Thus, our findings suggest that pemetrexed inhibits the lytic replication of KSHV DNA by blocking dTMP synthesis. Pemetrexed has the potential to be utilized as an anti-KSHV agent.

Molecule Property Analyses of Active Compounds for Mycobacterium tuberculosis.

Tuberculosis (TB) continues to claim the lives of around 1.7 million people per year. Most concerning are the reports of multidrug drug resistance. Paradoxically, this global health pandemic is demanding new therapies when resources and interest are waning. However, continued tuberculosis drug discovery is critical to address the global health need and burgeoning multidrug resistance. Many diverse classes of antitubercular compounds have been identified with activity in vitro and in vivo. Our analyses of over 100 active leads are representative of thousands of active compounds generated over the past decade, suggests that they come from few chemical classes or natural product sources. We are therefore repeatedly identifying compounds that are similar to those that preceded them. Our molecule-centered cheminformatics analyses point to the need to dramatically increase the diversity of chemical libraries tested and get outside of the historic Mtb property space if we are to generate novel improved antitubercular leads.

In silico Design and Synthesis of Tetrahydropyrimidinones and Tetrahydropyrimidinethiones as Potential Thymidylate Kinase Inhibitors Exerting Anti-TB Activity Against Mycobacterium tuberculosis.

BACKGROUND AND PURPOSE: Tuberculosis has been reported to be the worldwide leading cause of death resulting from a sole infectious agent. The emergence of multidrug-resistant tuberculosis and extensively drug-resistant tuberculosis has made the battle against the infection more difficult since most currently available therapeutic options are ineffective against these resistant strains. Therefore, novel molecules need to be developed to effectively treat tuberculosis disease. Preliminary docking studies revealed that tetrahydropyrimidinone derivatives have favorable interactions with the thymidylate kinase receptor. In the present investigation, we report the synthesis and the mycobacterial activity of several pyrimidinones and pyrimidinethiones as potential thymidylate kinase inhibitors. METHODS: The title compounds (1a-d) and (2a-b) were synthesized by a one-pot three-component Biginelli reaction. They were subsequently characterized and used for whole-cell anti-TB screening against H37Rv and multidrug-resistant (MDR) strains of Mycobacterium tuberculosis (MTB) by the resazurin microplate assay (REMA) plate method. Molecular modeling was conducted using the Accelry's Discovery Studio 4.0 client program to explain the observed bioactivity of the compounds. The pharmacokinetic properties of the synthesized compounds were predicted and analyzed. RESULTS: Of the compounds tested for anti-TB activity, pyrimidinone 1a and pyrimidinethione 2a displayed moderate activity against susceptible MTB H37Rv strains at 16 and 32 µg/mL, respectively. Only compound 2a was observed to exert modest activity at 128 µg/mL against MTB strains with cross-resistance to rifampicin and isoniazid. The presence of the trifluoromethyl group was essential to retain the inhibitory activity of compounds 1a and 2a. Molecular modeling studies of these compounds against thymidylate kinase targets demonstrated a positive correlation between the bioactivity and structure of the compounds. The in-silico ADME (absorption, distribution, metabolism, and excretion) prediction indicated favorable pharmacokinetic and drug-like properties for most compounds. CONCLUSION: Pyrimidinone 1a and pyrimidinethione 2a were identified as the leading compounds and can serve as a starting point to develop novel anti-TB therapeutic agents.

Protein kinases as antituberculosis targets: The case of thymidylate kinases.

This review is a concise summary of studies involving the design, synthesis and characterization of potential inhibitors against thymidylate kinase of Mycobacterium tuberculosis. Tuberculosis inspite of being an ancient disease still continues to be a leading cause of death in the world. The increasing emergence of drug resistant Mycobacterium tuberculosis is one of the challenges in the complete elimination of tuberculosis. Thus, there is an undeniable need to develop novel treatment strategies to combat this deadly pathogen. Several protein targets are being investigated in Mycobacterium tuberculosis with an aim to develop the most potent and selective antituberculosis agents. It is not surprising that protein kinases, the key regulators of metabolism in almost all organisms are one of the major targets explored in antituberculosis drug discovery. Thymidylate kinases, a well established antiviral and anticancer target has garnered significant attention in the past twenty years in the development of prospective antituberculosis agents. A comprehensive analysis of such studies will provide a better understanding on the druggability of thymidylate kinase and also, will enable to refine the future drug designing studies on this attractive drug target of Mycobacterium tuberculosis.

1-(Piperidin-3-yl)thymine amides as inhibitors of M. tuberculosis thymidylate kinase.

A series of readily accessible 1-(piperidin-3-yl)thymine amides was designed, synthesised and evaluated as Mycobacterium tuberculosis TMPK (MtbTMPK) inhibitors. In line with the modelling results, most inhibitors showed reasonable MtbTMPK inhibitory activity. Compounds 4b and 4i were slightly more potent than the parent compound 3. Moreover, contrary to the latter, amide analogue 4g was active against the avirulent M. tuberculosis H37Ra strain (MIC50=35 µM). This finding opens avenues for future modifications.

The structural basis of unique substrate recognition by Plasmodium thymidylate kinase: Molecular dynamics simulation and inhibitory studies.

Plasmodium falciparum thymidylate kinase (PfTMK) showed structural and catalytic distinctions from the host enzyme rendering it a hopeful antiprotozoal drug target. Despite the comprehensive enzymologic, structural, inhibitory and chemical synthesis approaches targeting this enzyme, the elucidation of the exact mechanism underlying the recognition of the atypical purine substrates remains to be determined. In this study, molecular dynamics (MD) simulation of a broad range of substrates and inhibitors as well as the inhibitory properties of deoxyguanosine (dG) derivatives were used to assess the PfTMK substructure molecular rearrangements. The estimated changes during the favourable binding of high affinity substrate (TMP) include lower interaction with P-loop, free residue fluctuations of the lid domain and the average RMSD value. The RMSD of TMP complex was higher and more rapidly stabilized than the dGMP complex. The lid domain flexibility is severely affected by dGMP and ß-thymidine derivatives, while being partially fluctuating with other thymidine derivatives. The TMK-purine (dGMP) complex was slowly and gradually stabilized with lower over all structure flexibility and residue fluctuations especially at the lid domain, which closes the active site during its catalytic state. Thymidine derivatives allow structure flexibility of the lid domain being highly fluctuating in α- and ß-thymidine derivatives and TMP. dG derivatives remains less efficient than thymidine derivatives in inhibiting TMK. The variations in the structural dynamics of the P-loop and lid domain in response to TMP or dGMP might favour thymidine-based compounds. The provided MD simulation strategy can be used for predicating structural changes in PfTMK during lead optimization.

Design of inhibitors of thymidylate kinase from Variola virus as new selective drugs against smallpox: part II.

Acknowledging the importance of studies toward the development of measures against terrorism and bioterrorism, this study aims to contribute to the design of new prototypes of potential drugs against smallpox. Based on a former study, nine synthetic feasible prototypes of selective inhibitors for thymidylate kinase from Variola virus (VarTMPK) were designed and submitted to molecular docking, molecular dynamics simulations and binding energy calculations. The compounds are simplifications of two more complex scaffolds, with a guanine connected to an amide or alcohol through a spacer containing ether and/or amide groups, formerly suggested as promising for the design of selective inhibitors of VarTMPK. Our study showed that, despite the structural simplifications, the compounds presented effective energy values in interactions with VarTMPK and HssTMPK and that the guanine could be replaced by a simpler imidazole ring linked to a -NH2 group, without compromising the affinity for VarTMPK. It was also observed that a positive charge in the imidazole ring is important for the selectivity toward VarTMPK and that an amide group in the spacer does not contribute to selectivity. Finally, prototype 3 was pointed as the most promising to be synthesized and experimentally evaluated. Communicated by Ramaswamy H. Sarma.

Rapid Inhibition Profiling Identifies a Keystone Target in the Nucleotide Biosynthesis Pathway.

Understanding the mechanism of action (MOA) of new antimicrobial agents is a critical step in drug discovery but is notoriously difficult for compounds that appear to inhibit multiple cellular pathways. We recently described image-based approaches [bacterial cytological profiling and rapid inducible profiling (RIP)] for identifying the cellular pathways targeted by antibiotics. Here we have applied these methods to examine the effects of proteolytically degrading enzymes involved in pyrimidine nucleotide biosynthesis, a pathway that produces intermediates for transcription, DNA replication, and cell envelope synthesis. We show that rapid removal of enzymes directly involved in deoxyribonucleotide synthesis blocks DNA replication. However, degradation of cytidylate kinase (CMK), which catalyzes reactions involved in the synthesis of both ribonucleotides and deoxyribonucleotides, blocks both DNA replication and wall teichoic acid biosynthesis, producing cytological effects identical to those created by simultaneously inhibiting both processes with the antibiotics ciprofloxacin and tunicamycin. Our results suggest that RIP can be used to identify and characterize potential keystone enzymes like CMK whose inhibition dramatically affects multiple pathways, thereby revealing important metabolic connections. Identifying and understanding the role of keystone targets might also help to determine the MOAs of drugs that appear to inhibit multiple targets.

Interaction of α-Thymidine Inhibitors with Thymidylate Kinase from Plasmodium falciparum.

Plasmodium falciparum thymidylate kinase (PfTMK) is a critical enzyme in the de novo biosynthesis pathway of pyrimidine nucleotides. N-(5'-Deoxy-α-thymidin-5'-yl)- N'-[4-(2-chlorobenzyloxy)phenyl]urea was developed as an inhibitor of PfTMK and has been reported as an effective inhibitor of P. falciparum growth with an EC50 of 28 nM [Cui, H., et al. (2012) J. Med. Chem. 55, 10948-10957]. Using this compound as a scaffold, a number of derivatives were developed and, along with the original compound, were characterized in terms of their enzyme inhibition ( Ki) and binding affinity ( KD). Furthermore, the binding site of the synthesized compounds was investigated by a combination of mutagenesis and docking simulations. Although the reported compound is indicated to be highly effective in its inhibition of parasite growth, we observed significantly lower binding affinity and weaker inhibition of PfTMK than expected from the reported EC50. This suggests that significant structural optimization will be required for the use of this scaffold as an effective PfTMK inhibitor and that the inhibition of parasite growth is due to an off-target effect.

Structure Guided Lead Generation toward Nonchiral M. tuberculosis Thymidylate Kinase Inhibitors.

In recent years, thymidylate kinase (TMPK), an enzyme indispensable for bacterial DNA biosynthesis, has been pursued for the development of new antibacterial agents including against Mycobacterium tuberculosis, the causative agent for the widespread infectious disease tuberculosis (TB). In response to a growing need for more effective anti-TB drugs, we have built upon our previous efforts toward the exploration of novel and potent Mycobacterium tuberculosis TMPK ( MtTMPK) inhibitors, and reported here the design of a novel series of non-nucleoside inhibitors of MtTMPK. The inhibitors display hitherto unexplored interactions in the active site of MtTMPK, offering new insights into structure-activity relationships. To investigate the discrepancy between enzyme inhibitory activity and the whole-cell activity, experiments with efflux pump inhibitors and efflux pump knockout mutants were performed. The minimum inhibitory concentrations of particular inhibitors increased significantly when determined for the efflux pump mmr knockout mutant, which partly explains the observed dissonance.

Tetrahydro-2-furanyl-2,4(1H,3H)-pyrimidinedione derivatives as novel antibacterial compounds against Mycobacterium.

OBJECTIVE/BACKGROUND: Mycobacterium tuberculosis thymidine monophosphate kinase (mtTMPK) is a potential enzymatic target for the treatment of tuberculosis (TB). MATERIALS AND METHODS: In this study, we performed pharmacophore-based in silico screening, targeting mtTMPK with a compound library of 461,383 chemicals. We evaluated the candidate compounds for inhibitory effects on the growth of the model mycobacteria, Mycobacterium smegmatis. RESULTS: The compound KTP3 completely inhibited the growth of M. smegmatis at 100 µM. A similarity search and rescreening with the structure of compound KTP3 using a web-based database identified two similar compounds (KTPS1 and KTPS2) with improved potency. The KTP3 analogs, KTPS1 and KTPS2, exhibited strong growth inhibitory effects with half-maximal inhibitory concentration values of 8.04 µM and 17.1 µM, respectively, against M. smegmatis. Moreover, the most potent chemical compound, KTPS1, did not exhibit toxic effects on the model enterobacteria and several mammalian cells. Two active chemicals, KTPS1 and KTPS2, inhibited mtTMPK activity by 18% and 36%, respectively, suggesting that these compounds have off-target activities against Mycobacterium. CONCLUSION: Structural and biological information on these chemicals is likely to be useful for the development of novel antibiotics for the treatment of TB.

Effect of 4-methoxy 1-methyl 2-oxopyridine 3-carbamide on Staphylococcus aureus by inhibiting UDP-MurNAc-pentapeptide, peptidyl deformylase and uridine monophosphate kinase.

AIMS: The present study aimed to investigate the anti-Staphylococcus aureus and anti-biofilm properties of 4-methoxy-1-methyl-2-oxopyridine-3-carbamide (MMOXC) on S. aureus UDP-MurNAc-pentapeptide (MurF), peptidyl deformylase (PDF) and uridine monophosphate kinase (UMPK). METHODS AND RESULTS: The in vitro efficacy of MMOXC was evaluated using quantitative polymerase chain reaction, in vitro assays and broth microdilution methods. Further, the minimum inhibitory concentration (MIC), IC50 and zone of inhibition were recorded in addition to the anti-biofilm property. MMOXC inhibited pure recombinant UMPK and PDF enzymes with a Ki of 0·37 and 0·49 µmol l-1 . However Ki was altered for MurF with varying substrates. The MurF Ki for UMT, d-Ala-d-Ala and ATP as substrates was 0·3, 0·25 and 1·4 µmol l-1 , respectively. Real-time PCR analysis showed a significant reduction in PDF and MurF expression which correlated with the MIC90 at 100 µmol l-1 and IC50 in the range 42 ± 1·5 to 50 ± 1 µmol l-1 against all strains tested. At 5 µmol l-1 MMOXC was able completely to remove preformed biofilms of S. aureus and other drug resistant strains. CONCLUSIONS: MMOXC was able to kill S. aureus and drug resistant strains tested by inhibiting MurF, UMPK and PDF enzymes and completely obliterated preformed biofilms. SIGNIFICANCE AND IMPACT OF THE STUDY: Growth reduction and biofilm removal are prerequisites for controlling S. aureus infections. In this study MMOXC exhibited prominent anti-S. aureus and anti-biofilm properties by blocking cell wall formation, RNA biosynthesis and protein maturation.

Chemical Inhibition of Human Thymidylate Kinase and Structural Insights into the Phosphate Binding Loop and Ligand-Induced Degradation.

Targeting thymidylate kinase (TMPK) that catalyzes the phosphotransfer reaction for formation of dTDP from dTMP is a new strategy for anticancer treatment. This study is to understand the inhibitory mechanism of a previously identified human TMPK (hTMPK) inhibitor YMU1 (1a) by molecular docking, isothermal titration calorimetry, and photoaffinity labeling. The molecular dynamics simulation suggests that 1a prefers binding at the catalytic site of hTMPK, whereas the hTMPK inhibitors that bear pyridino[d]isothiazolone or benzo[d]isothiazolone core structure in lieu of the dimethylpyridine-fused isothiazolone moiety in 1a can have access to both the ATP-binding and catalytic sites. The binding sites of hTMPK inhibitors were validated by photoaffinity labeling and mass spectrometric studies. Taking together, 1a and its analogues stabilize the conformation of ligand-induced degradation (LID) region of hTMPK and block the catalytic site or ATP-binding site, thus attenuating the ATP binding-induced closed conformation that is required for phosphorylation of dTMP.

Elaboration of a proprietary thymidylate kinase inhibitor motif towards anti-tuberculosis agents.

We report the design and synthesis of a series of non-nucleoside MtbTMPK inhibitors (1-14) based on the gram-positive bacterial TMPK inhibitor hit compound 1. A practical synthesis was developed to access these analogues. Several compounds show promising MtbTMPK inhibitory potency and allow the establishment of a structure-activity relationship, which is helpful for further optimization.