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Systemic neurophysiological entrainment to behaviorally relevant rhythmic stimuli

Muñoz Caracuel, Manuel; Muñoz Burbano, Vanesa; Ruiz Martínez, Francisco Javier; Vázquez Morejón, Antonio José; Gómez González, Carlos María

Abstract

Physiological oscillations, such as those involved in brain activity, heartbeat, and respiration, display inherent rhythmicity across various timescales. However, adaptive behavior arises from the interaction between these intrinsic rhythms and external environmental cues. In this study, we used multimodal neurophysiological recordings, simultaneously capturing signals from the central and autonomic nervous systems (CNS and ANS), to explore the dynamics of brain and body rhythms in response to rhythmic auditory stimulation across three conditions: baseline (no auditory stimulation), passive auditory processing, and active auditory processing (discrimination task). Our findings demonstrate that active engagement with auditory stimulation synchronizes both CNS and ANS rhythms with the external rhythm, unlike passive and baseline conditions, as evidenced by power spectral density (PSD) and coherence analyses. Importantly, phase angle analysis revealed a consistent alignment across participants between their physiological oscillatory phases at stimulus or response onsets. This alignment was associated with reaction times, suggesting that certain phases of physiological oscillations are spontaneously prioritized across individuals due to their adaptive role in sensorimotor behavior. These results highlight the intricate interplay between CNS and ANS rhythms in optimizing sensorimotor responses to environmental demands, suggesting a potential mechanism of embodied predictive processing.

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Physiological Repo s. 2024;12:e70079. | 1 o 16 h ps://doi.o g/10.14814/phy2.70079 wileyonlinelib a y.com/jou nal/phy2 1 | INTRODUCTION Oscilla ions a e undamen al o ganizing phenomena in biological sys ems, p o iding unc ional ad an ages like p edic i e capabili ies, ene gy- e iciency, and enhanced communica ion h ough noise esilience and desensi- iza ion p e en ion (Glass, 2001; Rapp, 1987; Xiong & Ga inkel,2023). In he human body, nume ous physiolog- ical p ocesses, including hea bea , espi a ion, and neu al ac i i y, exhibi oscilla o y beha io and o en in e ac wi h Recei ed: 23 July 2024 | Re ised: 9 Sep embe 2024 | Accep ed: 24 Sep embe 2024 DOI: 10.14814/phy2.70079 ORIGINAL ARTICLE Sys emic neu ophysiological en ainmen o beha io ally ele an hy hmic s imuli ManuelMuñoz- Ca acuel1,2 | VanesaMuñoz1 | F ancisco J.Ruiz- Ma ínez1 | An onio J.VázquezMo ejón2,3 | Ca los M.Gómez1 This is an open access a icle unde he e ms o he C ea i e Commons A ibu ion License, which pe mi s use, dis ibu ion and ep oduc ion in any medium, p o ided he o iginal wo k is p ope ly ci ed. © 2024 The Au ho (s). Physiological Repo s published by Wiley Pe iodicals LLC on behal o The Physiological Socie y and he Ame ican Physiological Socie y. 1Depa men o Expe imen al Psychology, Uni e si y o Se ille, Se illa, Spain 2Men al Heal h Uni , Hospi al Uni e si a io Vi gen del Rocio, Se ille, Spain 3Depa men o Pe sonali y, E alua ion and Psychological T ea men s, Uni e si y o Se ille, Se illa, Spain Co espondence Manuel Muñoz- Ca acuel, Human Psychobiology Labo a o y, Expe imen al Psychology Depa men , Uni e si y o Se ille, Calle Camilo José Cela, S/N, Se illa 41018, Spain. Email: [email p o ec ed] Funding in o ma ion MEC | Agencia Es a al de In es igación (AEI), G an /Awa d Numbe : PID2022- 139151OB- I00; Conseje ía de Economía, Inno ación, Ciencia y Empleo, Jun a de Andalucía (Minis y o Economy, Inno a ion, Science and Employmen , Go e nmen o Andalucia), G an /Awa d Numbe : P20_00537 Abs ac Physiological oscilla ions, such as hose in ol ed in b ain ac i i y, hea bea , and espi a ion, display inhe en hy hmici y ac oss a ious imescales. Howe e , adap i e beha io a ises om he in e ac ion be ween hese in insic hy hms and ex e nal en i onmen al cues. In his s udy, we used mul imodal neu ophysi- ological eco dings, simul aneously cap u ing signals om he cen al and au- onomic ne ous sys ems (CNS and ANS), o explo e he dynamics o b ain and body hy hms in esponse o hy hmic audi o y s imula ion ac oss h ee condi- ions: baseline (no audi o y s imula ion), passi e audi o y p ocessing, and ac i e audi o y p ocessing (disc imina ion ask). Ou indings demons a e ha ac i e engagemen wi h audi o y s imula ion synch onizes bo h CNS and ANS hy hms wi h he ex e nal hy hm, unlike passi e and baseline condi ions, as e idenced by powe spec al densi y (PSD) and cohe ence analyses. Impo an ly, phase angle analysis e ealed a consis en alignmen ac oss pa icipan s be ween hei physi- ological oscilla o y phases a s imulus o esponse onse s. This alignmen was associa ed wi h eac ion imes, sugges ing ha ce ain phases o physiological oscilla ions a e spon aneously p io i ized ac oss indi iduals due o hei adap- i e ole in senso imo o beha io . These esul s highligh he in ica e in e play be ween CNS and ANS hy hms in op imizing senso imo o esponses o en i- onmen al demands, sugges ing a po en ial mechanism o embodied p edic i e p ocessing. KEYWORDS embodimen , en ainmen , oscilla ions, p edic i e p ocessing, hy hm 2 o 16 | MUÑOZ- CARACUEL e al. ex e nal en i onmen al hy hms, as seen in music, dance, language, spo s, and o he human ac i i ies ha equi e adap i e esponses o hy hmic pa e ns (Cha alambous & Djebba a,2023; G een ield e al.,2021; Ko z e al.,2018). Physiological oscilla ions a y ac oss imescales, bu adap i e beha io al con ol may ely on hei empo al alignmen wi h ex e nal inpu s, acili a ing e icien e- sponses o en i onmen al demands (Penzel e  al., 2017; Pezzulo e  al., 2015). In his con ex , when physiological oscilla ions synch onize in phase and/o equency wi h an ex e nal oscilla o y sou ce, hey a e said o be en ained o ha hy hm (Laka os e al.,2019; Piko sky e al.,2001). En ainmen has been p oposed o unde lie cogni i e p o- cesses like selec i e a en ion by aligning neu al phases o high exci abili y wi h pe iodic ea u es o ele an ex e nal e en s, he eby enhancing neu al gain o a ended senso y inpu s (Hen y e al.,2014; Laka os e al.,2008, 2013, 2019; Oblese & Kayse ,2019; Sch oede & Laka os,2009; Zion Golumbic e al.,2013). Neu al en ainmen has also been shown o imp o e beha io al pe o mance, educing eac- ion imes, and inc easing accu acy in audi o y senso imo- o asks (Noza adan e al.,2016; S e anics e al.,2010). Howe e , less in known abou au onomic en ain- men . While hea a e has shown inconsis en e idence o en ainmen wi h hy hmic ex e nal s imuli (Mü ze e al.,2020), espi a ion has been shown o en ain o audi- o y ex e nal s imuli ha in ol e mo o esponses, hough no du ing passi e lis ening o wi h complex hy hms (Haas e al.,1986; Wilke e al.,1975). Respi a ion is ec- ognized as an ac i e senso y selec ion p ocess modula ing neu al synch oniza ion ac oss widesp ead co ical egions o enhance in o ma ion p ocessing and cogni i e pe o - mance (B ændhol e al.,2023; He e o e al.,2018; Kluge e al., 2021; Ma ic e  al.,2020; Pe l e  al., 2019; Zelano e  al., 2016). Mo eo e , he b ea hing phase has been shown o sys ema ically in luence cogni i e pe o mance (Pe l e al.,2019; Zelano e al.,2016), highligh ing he bi- di ec ional communica ion be ween body–b ain signals aimed a adap ing o ask- speci ic demands (C iscuolo e al.,2022). Addi ionally, om he p edic i e p ocessing pe spec i e (Cla k,2013; F is on,2010; Hohwy,2013), he in e play be- ween bodily and neu al hy hms in esponse o ex e nal senso y inpu s se es a p edic i e iming unc ion. I aligns in o ma ion sampling wi h bodily hy hms o minimize disc epancies be ween expec ed (p e e ed) and sensed body s a es h ough ecu en message passing among di - e en hie a chical le els. This p ese es o ganism in eg- i y and suppo s adap i e goal- di ec ed beha io (Allen & F is on,2018; Engel e al.,2001; Owens e al.,2018; Pa e al.,2022; Pezzulo e al.,2015; Se h & F is on,2016). Despi e e idence o neu al en ainmen wi h pe iodic ex- e nal e en s and he ole o espi a ion in b ain unc ion, he in ica e in e play be ween b ain–body hy hms and ex- e nal inpu s emains poo ly unde s ood. Ac i e engagemen wi h senso y s imuli is belie ed o op imize bodily s a es o highe - le el in o ma ion p ocessing (C iscuolo e al.,2022; Pa iainen e al.,2022), bu in eg a ed expe imen al indings using mul imodal neu ophysiological measu es a e sca ce. Mo eo e , mos s udies explo ing bodily en ainmen o ex- e nal s imuli ha e p edominan ly u ilized simple epe i i e s imuli o assess empo al p edic i e abili ies. Inco po a ing expe imen al designs ha accoun o he inhe en complex- i ies o disc imina o y senso imo o asks could signi ican ly con ibu e o unde s anding he mul i ace ed dynamics go - e ning b ain–body in e ac ions wi h hy hmic cues. This s udy aims o shed new ligh on he complex phys- iological dynamics o b ain and body hy hms in esponse o hy hmic audi o y s imula ion, and o elucida e hei beha io al implica ions by di e en ia ing be ween pas- si e and ac i e senso y encoding p ocesses. Simul aneous eco dings o he cen al and au onomic ne ous sys ems (CNS and ANS) we e used du ing an expe imen al pa a- digm ea u ing empo ally in a ian hy hmic s imula ion. Dis inc audi o y sequences we e p esen ed o dynami- cally modula e a en ional demands on a ial- by- ial basis du ing a cueing ask, os e ing adap i e speed- accu acy esponses ha be e e lec dynamical senso imo o con- ex s. We hypo hesize ha ac i e engagemen wi h hy h- mic audi o y s imuli will lead o g ea e en ainmen o CNS and ANS physiological hy hms o he ex e nal hy hm, compa ed o passi e lis ening and baseline condi- ions. Fu he mo e, du ing he ac i e condi ion, we expec highe accu acy and educed eac ion imes o he mo e p e alen phases o bodily oscilla ions a he a ge onse . 2 | MATERIALS AND METHODS We employed a sys emic app oach o examine a ious b ain and body neu ophysiological measu es in esponse o hy h- mic audi o y s imula ion unde di e en a en ional condi- ions. Ou analysis included powe spec al analysis and phase cohe ence o compa e he alignmen o physiological oscilla ions wi h he ex e nal hy hm ac oss condi ions. In addi ion, we used ci cula s a is ics and linea mixed models o explo e de ailed pa e ns and hei beha io al implica ions. 2.1 | Pa icipan s A sample o 32 heal hy pa icipan s (12 males and 20 e- males, 29 igh - handed and 3 le - handed) aged be ween 19 and 36 yea s old (mean = 28.31 ± 3.87 SD) we e e- co ded. Two pa icipan s we e excluded om he analy- sis due o echnical issues du ing he EEG eco ding. The 2051817x, 2024, 19, Downloaded om h ps://physoc.onlinelib a y.wiley.com/doi/10.14814/phy2.70079 by Readcube (Lab i a Inc.), Wiley Online Lib a y on [21/10/2024]. See he Te ms and Condi ions (h ps://onlinelib a y.wiley.com/ e ms-and-condi ions) on Wiley Online Lib a y o ules o use; OA a icles a e go e ned by he applicable C ea i e Commons License | 3 o 16 MUÑOZ- CARACUEL e al. s udy was app o ed by he Bioe hical Commi ee o he Jun a de Andalucía. Pa icipan s did no epo any neu o- logical disease o audi o y impai men . The expe imen s we e conduc ed wi h he in o med and w i en consen o each pa icipan , ollowing he Helsinki P o ocol. 2.2 | Signal acquisi ion A mul imodal signal acquisi ion was pe o med, co e ing di e en measu es o he cen al and pe iphe al ne ous sys em a he same ime (Figu e1a). Elec oencephalog aphy (EEG) and in ace eb al Func ional Nea In a ed Spec oscopy ( NIRS- i) e- co ded he b ain elec ical ac i i y and oxygena ion changes, espec i ely. Elec ode mal ac i i y (EDA), Elec oca diog am (ECG), Ple hysmog aphy o he Pe iphe al Pulse (PPG), Respi a o y e o (RSP), and ex ace eb al Func ional Nea In a ed Spec oscopy ( NIRS- e) we e eco ded o assess physiological pe iphe al signals con olled by Au onomic Ne ous Sys em (ANS) ac i i y. FIGURE 1 (a) Mul imodal signal acquisi ion ep esen a ion (c ea ed in BioRe nde . com). (b) P obe layou o NIRS op odes and EEG elec odes. Red ci cles indica e NIRS sou ces, blue ci cles NIRS de ec o s, and g een ci cles EEG channels. Yellow linea segmen s be ween sou ces and de ec o s indica e NIRS s anda d sepa a ion channels. O e lapping small blue ci cles indica e he loca ion o NIRS sho sepa a ion channels. (c) G aphical ep esen a ion o he expe imen al design. Th ee condi ions: Baseline, Passi e (audi o y s imuli + mu ed ilm) and Ac i e (audi o y s imuli + p essing ei he he up o down a ow o he keyboa d). (d) Audi o y s imula ion exempli ica ion o he passi e and ac i e condi ion, espec i ely. S1 and S4 indica e he i s (cue) and ou h s imulus ( a ge ), espec i ely, o each audi o y sequence. Linea audi o y sequences we e occasionally b oken (20% incong uen ials) in he las s imulus (S4). In he ac i e condi ion, he expec ed esponses a e he a i al o S4 a e indica ed by black a ows, esul ing om he compa ison o he audi o y equency o S4 wi h ha o he p eceding s imulus (S3) wi hin each ial. 2051817x, 2024, 19, Downloaded om h ps://physoc.onlinelib a y.wiley.com/doi/10.14814/phy2.70079 by Readcube (Lab i a Inc.), Wiley Online Lib a y on [21/10/2024]. See he Te ms and Condi ions (h ps://onlinelib a y.wiley.com/ e ms-and-condi ions) on Wiley Online Lib a y o ules o use; OA a icles a e go e ned by he applicable C ea i e Commons License 4 o 16 | MUÑOZ- CARACUEL e al. 2.2.1 | EEG The EEG was eco ded using ac i e elec odes (Ac iCAP) om 13 scalp si es mainly dis ibu ed along he midline (Figu e1b) wi h a B ain Vision V- Amp DC ampli ie (B ain P oduc s, Munich, Ge many). The elec ode im- pedance was kep below 20 kΩ. The le mas oid was used as he e e ence. DC ampli ica ion gain was 20,000, and he sampling a e was 1000 Hz. Da a acquisi ion was done using B ainVision Reco de 1.20 (B ain P oduc s). 2.2.2 | NIRS The NIRS signal was eco ded using a NIRScou XP de ice (NIRx Medical Technologies, Glen Head, NY, USA) wi h 16 LED sou ces and 30 de ec o s (14 s anda d sepa a ion de ec o s +16 sho sepa a ion de ec o s) placed along he on o- empo al a eas o bo h sides o he scalp (Figu e1b), ob aining a o al o 58 channels (42 s anda d sepa a ion chan- nels, 16 sho sepa a ion channels). In ace eb al (co ical) oxygena ion changes ( NIRS- i) we e cap u ed by he s and- a d sepa a ion channels, whe eas ex ace eb al oxygena ion changes ( NIRS- e) on he scalp su ace we e cap u ed by he sho sepa a ion channels. The sou ce- de ec o dis ance was 3 and 0.8 cm o he s anda d and he sho sepa a ion channels, espec i ely. The sampling a e was 3.91 Hz. Da a acquisi ion was accomplished wi h NIRS a .14.2 so wa e. 2.2.3 | Pe iphe al signals The au onomic pe iphe al signals we e eco ded using an MP160 (BIOPAC Sys ems, Gole a, CA, USA) wi h ou ampli ie modules (PPG- 100C, EDA- 100C, ECG- 100C, and RSP- 100C), o ob ain he PPG, EDA, ECG, and RSP signals, espec i ely. The pe iphe al pulse was eco ded h ough a ple hys- mog aph (TSD200 ansduce wi h a wa eleng h o 860 nm ± 60 nm- in a ed ligh ) placed on he index inge o he le hand. EDA was ob ained using bipola Ag- AgCl inge elec odes placed on he ing and middle inge s o he le hand. ECG was acqui ed using h ee Ag- AgCl lead elec odes (posi i e, nega i e, and g ound, TSD203 ans- duce ) placed on he le w is , igh w is , and igh ankle, espec i ely. RSP was eco ded h ough a ansduce band placed on he ches (TSD201 ansduce ), which allows measu emen o changes in ho acic ci cum e ence ha occu wi h b ea hs. The ampli ica ion gain was se as 100 in PPG, 5 in EDA, 1000 in ECG, and 10 in he RSP ampli- ie s. The sampling equency was 1000 Hz. Da a acquisi- ion was pe o med using AcqKnowledge .5.0.1 so wa e (BIOPAC Sys ems). 2.3 | Expe imen al pa adigm Pa icipan s we e com o ably sea ed in a quie oom in on o a able equipped wi h a sc een and a com- pu e keyboa d. The expe imen was di ided in h ee consecu i e s ages o condi ions: baseline, passi e and ac i e condi ion (Figu e1c). Du ing he baseline condi- ion, pa icipan s we e asked o s ay as quie as possible o 3 min, looking a a ixed c oss in he middle o he sc een wi hou any o he equi emen . In he passi e and he ac i e condi ions, he same audi o y s imula ion was used (Figu e1d). The s imuli consis ed o ials o ou consecu i e pu e audi o y ones, p esen ed in an ascending o descending equency pa e n (50%–50%, andomly coun e balanced wi hin pa icipan s) ha was occasionally b oken (incong uen ial) in he las one o he ial (S4). The audi o y equencies used o he ones we e 600, 900, 1200, and 1500 Hz. Each one las ed 200 ms (wi h a 20 ms ise- all ime) and he in e - s imulus in e al (ISI) was 100 ms, esul ing in 1100 ms o audi o y s imula ion, which was ollowed by 1900 ms o silence, comp ising a o al o 3000 ms (0.33 Hz) wi hin each ial. Each condi ion consis ed o 240 ials, wi h an 80%–20% a io be ween cong uen and incong uen ials, espec i ely. The expe imen was p og ammed using PsychoPy .2021.1.2 ee so wa e package (Pei ce,2009). The audi o y s imuli we e edi ed using Audaci y ee so wa e package, .3.0.0. Bo h he passi e and ac i e condi ions las ed 12 min and sha ed he same audi o y pa adigm, bu he ask ins uc ions in each condi ion we e di e en . In he passi e condi ion, he pa icipan s we e asked o wa ch a mu ed ilm and igno e he audi o y ones, whe eas in he ac i e condi ion he pa ici- pan s we e asked o pay a en ion o he ones and o espond in each o he ials by p essing he up o down a ow bu on on he keyboa d, depending on whe he he ou h audi o y one o he sequence (S4, a ge s imulus) had a lowe o highe audi o y equency han he p e ious one (S3), ying o combine accu acy and speed in hei esponses (wi hin a 1900 ms ime window be o e he nex ial). The ac i e ask was di ided in o ou blocks o 3 min (60 ials), sepa a ed by a sho b eak, o p e en he e ec s o a igue. The e was a aining pe iod wi h an explana o y ideo, ollowed by a es ial wi h isual eedback. The o de o condi ions, i s passi e and hen ac i e condi ion, was in en ionally kep cons an ac oss pa icipan s o a oid possible in e e ence o condi ion- ing ac o s om he ac i e o he passi e condi ion in he audi o y p ocessing sys em. Audi o y s imuli we e p esen ed h ough wo speake s (Dell, model A215), posi ioned on ei he side o he pa icipan 's head, a a com o able olume o 60 dB (measu ed wi h a Velleman- DVM1326 le el sound- me e ). 2051817x, 2024, 19, Downloaded om h ps://physoc.onlinelib a y.wiley.com/doi/10.14814/phy2.70079 by Readcube (Lab i a Inc.), Wiley Online Lib a y on [21/10/2024]. See he Te ms and Condi ions (h ps://onlinelib a y.wiley.com/ e ms-and-condi ions) on Wiley Online Lib a y o ules o use; OA a icles a e go e ned by he applicable C ea i e Commons License | 5 o 16 MUÑOZ- CARACUEL e al. 2.4 | Signal p epa a ion and p ep ocessing 2.4.1 | EEG EEG eco dings we e impo ed in o EEGLAB .14.1.1 and MATLAB 2022a so wa e. To co ec he EEG o eye blinking, ocula mo emen s and muscle a i ac s, an Independen Componen Analysis (ICA) was compu ed. These componen s we e emo ed, and he EEG signal was pos e io ly econs uc ed (mean = 3.5 ± 0.93 SD, ange 2–7). The signal ampli udes in he elec odes Fp2, Fz9, and Fz10 we e used o de ec eye blink a i ac s and ocula mo emen s, while he 6 channels in he midline (AFz, Fz, FCz, Cz, CPz, and Pz) we e he ones accoun ed o subse- quen analysis. 2.4.2 | NIRS NIRS aw da a we e impo ed in o HOMER2 .2.8 ool- box (Huppe e al.,2009) and MATLAB 2022a so wa e. Fo he educ ion o he signal mo ion a i ac s, he unc- ion hm Mo ionCo ec ionWa ele was applied, wi h an in e qua ile ange o 1.5. This unc ion has p o en o be qui e obus in dec easing mo ion a i ac s h ough wa ele decomposi ion (B igadoi e  al., 2014; Coope e al., 2012; Mola i & Dumon , 2012). Addi ionally, he enPCAFil e unc ion was applied, wi h one p incipal componen being emo ed om he da a (mean explained a iance o he emo ed i s componen : 37% ±14%). The unc ion hm SSR was also applied, which eg esses he ac i i y in he sho sepa a ion channels om he ac i i y o he s anda d channels o elimina e he con ibu ion o he ex ace eb al signal om he in ace eb al (co ical) signal. The oxyhemoglobin (HbO) concen a ion changes we e ob ained employing he modi ied Bee –Lambe law wi h a di e en ial pa ial pa hleng h ac o o 6.0 o 760 nm and 5.0 o he 850 nm wa eleng h (F. Scholkmann e al.,2010). 3D b ain images o he NIRS channels lay- ou we e ex ac ed wi h he A lasViewe oolbox (Huppe e al.,2009). 2.4.3 | Pe iphe al signals Pe iphe al signals we e impo ed in o AcqKnowledge .5.0.1 (BIOPAC Sys ems), Ledalab (Benedek & Kae nbach,2010) and MATLAB 2022a so wa e. Signals we e isually inspec ed o check ha hey we e mos ly ee o mo emen a i ac s. The skin conduc ance e- sponse (SCR) om he EDA signal was ex ac ed wi h he Ledalab so wa e (Benedek & Kae nbach, 2010) using he Con inuous Decomposi ion Analysis (CDA) unc ion. HR was ex ac ed wi h he AcqKnowledge so wa e om he R peaks de ec ion o he ECG sig- nal. The ECG and PPG signals we e used o calcula e he Pulse T ansi Time (PTT), a p oxy measu e o he a e ial p essu e ha can be calcula ed om he ime in e al be ween he R- wa e and he peak o he pulse wa e a he inge . RSP and PPG aw signals we e di- ec ly ex ac ed om AcqKnowledge. Respi a o y a e (RSP a e) was ex ac ed om he RSP peak de ec ion in AcqKnowledge. All da a, excep o NIRS, we e downsampled o 100 Hz and de ended by sub ac ing a bes - i hi d o de polynomial. The HR and PTT achog ams we e addi ionally smoo hed using he smoo h. m unc ion o MATLAB wi h he ‘loess’ me hod, applying a smoo h- ing pa ame e o 0.01. Da a om he passi e condi ion we e a i icially segmen ed in o ou blocks, aligning hem wi h he s uc u e o he ac i e condi ion o com- pa a i e analysis. Consequen ly, a o al o nine blocks (comp ising one baseline, ou passi e and ou ac i e condi ions), each consis ing o 3 min o con inuous da a, we e ex ac ed o each signal and pa icipan o subsequen da a analysis. 2.5 | Powe spec al densi y Powe spec al analysis o all di e en signals, pa - icipan s, blocks and channels (in he case o EEG and NIRS) was pe o med using a cus om MATLAB sc ip . Fi s , he da a ma ices we e ze o- padded by a ac o o 10 o inc ease he equency esolu ion o he spec al analysis. Following ze o- padding, he FFT was applied o he da a. F om he FFT esul , he one- sided absolu e alues we e ob ained, since he FFT yields a complex e- sul wi h bo h posi i e and nega i e equencies. These absolu e alues we e hen squa ed and no malized by he sampling equency and numbe o da a poin s o ob ain he powe spec al densi y (PSD). Finally, he esul ing powe was doubled, excep o he DC and Nyquis equencies. To compa e condi ions wi h absolu e powe di e - ences and ocus on ela i e powe changes, he PSD esul s we e no malized di iding he alue a each e- quency poin by he o al powe . The PSD esul s o he ou da a blocks in bo h passi e and ac i e condi ions we e a e aged, esul ing in a single PSD signal pe con- di ion and pa icipan , co e ing equencies om 0 o he Nyquis equency (50 Hz). Finally, o cap u e he spec al powe a he equency o in e es (audi o y s imula ion a 0.33 Hz) and compa e i be ween condi ions, he in eg al o he PSD closely a ound his equency (0.33 ± 0.005 Hz) 2051817x, 2024, 19, Downloaded om h ps://physoc.onlinelib a y.wiley.com/doi/10.14814/phy2.70079 by Readcube (Lab i a Inc.), Wiley Online Lib a y on [21/10/2024]. See he Te ms and Condi ions (h ps://onlinelib a y.wiley.com/ e ms-and-condi ions) on Wiley Online Lib a y o ules o use; OA a icles a e go e ned by he applicable C ea i e Commons License 6 o 16 | MUÑOZ- CARACUEL e al. was calcula ed o each condi ion and pa icipan and ex- po ed o s a is ical analysis. 2.6 | Phase cohe ence Phase Cohe ence analysis be ween all eco ded signals and he audi o y s imula ion o each pa icipan , block, and channel (in he case o EEG and NIRS) was pe o med using a cus om MATLAB sc ip , enabling he measu emen o he consis ency o phase di e ences o e ime. Fi s , all da a ma- ices we e esampled o a common equency a e o 20 Hz. Then, a ze o- phase 8 h o de bandpass IIR il e be ween 0.2–0.5 Hz was used. The eason o using his equency ange was o cap u e he equency o in e es (audi o y s imula ion a 0.33 Hz) a he same ime ha a po en ial con- ounde such as he espi a o y equency band (commonly epo ed a ound 0.15–0.5 Hz) con aining i . The commonly used lowe limi o 0.15 Hz o he espi a o y equency band was no used because i exceeded hal he equency o in e es (0.33/2 = 0.165 Hz) and could in oduce some ha monics ha could al e he phase analysis. To enable he compu a ion o phase cohe ence be ween physiological signals and s imuli, a cosine wa e a 0.33 Hz was gene a ed om he onse o audi o y s imula ion in each block. This cosine wa e was hen included as an addi ional signal o cohe ence analysis, ep esen ing he audi o y s imula ion. The con inuous analy ic signal o all da a signals was ob- ained h ough he Hilbe ans o ma ion, and he phase angle was compu ed om hese signals. Then, he phase di e ence be ween each pai o da a signals we e ob ained, con e ed in o complex space h ough he Eule 's o mula (eⁱx = cos x + i sin x), a e aged, and ans o med o absolu e alues o inally ob ain he phase cohe ence be ween all pai o signals, anging i s alue om 0 (no cohe ence) o 1 (max- imum cohe ence). Finally, he cohe ence esul s om he ou da a blocks in bo h passi e and ac i e condi ions we e independen ly a e aged o ob ain a single alue o each condi ion, acili a ing a di ec compa ison among he base- line, passi e, and ac i e condi ions. Likewise, cohe ence e- sul s om all EEG, NIRS- i and NIRS- e channels we e also a e aged o each da a signal sepa a ely. 2.7 | Phase angle As an addi ional analysis o explo e he speci ic con ibu- ion o dis inc phases o he eco ded signals o he phase cohe ence esul s in he ac i e condi ion, he phase angles a he a i al o e e y i s s imulus (S1, cue s imulus), ou h s imulus (S4, a ge s imulus), and esponse (R), as he d i e s o in e es , we e ex ac ed om he Hilbe ans o m o he p ep ocessed signals o each pa icipan , con e ed o complex space h ough he Eule 's o mula and a e aged ac oss ials. The esul an mean alue o he phase angles o each signal, pa icipan and ype o d i e (S1, S4, and R) was hen expo ed o subsequen s a is- ical analysis. In he case o EEG, he FCz elec ode was he one accoun ed o phase angle analysis as a cen al, equidis an , and ela i ely a i ac - ee e e ence poin . In he case o NIRS- i, he channel be ween sou ce numbe 14 and de ec o numbe 13 (Figu e1b), on he igh su- pe io empo al gy us, was he one conside ed due o he audi o y na u e o he expe imen , whe eas in he case o NIRS- e, he sho sepa a ion channel adjacen o sou ce numbe 14 (Figu e1b), on he igh empo al egion, was he one expo ed o phase angle s a is ical analysis. Complemen a ily, o analyze po en ial linea - ci cula e- la ionships be ween eac ion imes and phase angles, hese measu es we e ex ac ed o each ial, ype o ial (con- g uen o incong uen S4), pa icipan and eco ded signal. Subsequen ly, sine and cosine ans o ma ions we e applied o he ci cula a iable (phase angles), which allows o cap- u e he pe iodic na u e o he ci cula a iable o s a is ical analysis. The ela ionship o hi s and e o s wi h phase an- gles was no inally analyzed due o he ma ginal exis ence o e o s in he sample, as desc ibed in he esul s sec ion. 2.8 | S a is ical analysis S a is ical analyses we e ca ied ou using SPSS 29.0.1 and R 4.3.2 (R Co e Team, 2023) so wa e packages. We i s es ed he no mali y o da a dis ibu ion using a Shapi o– Wilk es and, when he no mali y assump ion was iola ed, we applied app op ia e nonpa ame ic es s. To assess s a- is ical di e ences be ween he p ocessed signals, epea ed- measu es analyses o a iance (ANOVA) we e pe o med wi h condi ion as a ac o wi h h ee le els: baseline, passi e and ac i e. G eenhouse–Geisse co ec ion was used when sphe ici y was iola ed. Fo EEG, NIRS- i and NIRS- e, he channels we e included as a ac o , in addi ion o condi ion. Pos - hoc con as s ( wo- ailed pai ed - es ) we e ca ied ou when ANOVA di e ences eached signi ican esul s (p < 0.05). To assess he ci cula uni o mi y be ween phase angles o pa icipan s o each ype o d i e (S1, S4, and R) and p ocessed signal, he Rayleigh's es (Jammalamadaka & SenGup a,2001) was pe o med using he ci cula pack- age implemen ed in R. A linea mixed- e ec s (LME) model was u ilized, using he lme unc ion in he lme Tes and lme 4 packages implemen ed in R, o examine he associa- ion be ween eac ion imes and sine/cosine- ans o med phase angles, accoun ing o po en ial pa icipan - speci ic a iabili y. The model included eac ion ime as he de- penden a iable, wi h sine and cosine- ans o med phase angles and ype o ial (cong uen /incong uen ) as ixed 2051817x, 2024, 19, Downloaded om h ps://physoc.onlinelib a y.wiley.com/doi/10.14814/phy2.70079 by Readcube (Lab i a Inc.), Wiley Online Lib a y on [21/10/2024]. See he Te ms and Condi ions (h ps://onlinelib a y.wiley.com/ e ms-and-condi ions) on Wiley Online Lib a y o ules o use; OA a icles a e go e ned by he applicable C ea i e Commons License | 7 o 16 MUÑOZ- CARACUEL e al. e ec s. Addi ionally, a andom in e cep was inco po a ed o each pa icipan o accoun o indi idual di e ences in eac ion ime. In all cases, he p alues we e adjus ed o mul iple compa isons when necessa y by applying he False Disco e y Ra e (FDR) co ec ion using he Benjamini- Hochbe g p ocedu e. 3 | RESULTS 3.1 | Beha io al ask In he ac i e condi ion ask, he a e age hi a e was 236 ou o 240 (98%) ± 5.54 SD, wi h hal o he sample com- mi ing ei he jus one e o o none. The e o e, u he analysis ega ding accu acy pe o mance ela ionship wi h phase angle could no be conduc ed. The mean eac- ion ime was 692 ms (667 ms o cong uen ials; 764 ms o incong uen ials) ± 202 ms SD. Di e ences in eac- ion ime be ween ype o ials eached signi ican esul s [ (1, 31) = 7.27; p < 0.001]. 3.2 | Powe spec al densi y The PSD o he di e en da a signals a ound he equency o in e es (0.33 Hz) is shown in Figu e2a. The epea ed- measu es ANOVA ound signi ican s a is ical di e ences be ween condi ions o all he eco ded signals (Table1). The addi ional epea ed- measu es ANOVA, inco po- a ing channels as a ac o , e ealed a signi ican main e - ec o channels on he PSD a ound 0.33 Hz o NIRS- e [F (6.029, 186.902) = 5.813; p < 0.001; η2 = 0.158], NIRS- i [F (6.644, 205.964) = 7.462; p < 0.001; η2 = 0.194], and EEG [F (2.977, 92.291) = 5.415; p = 0.002; η2 = 0.149]. These esul s indica e ha PSD a ies ac oss di e en NIRS- i, NIRS- e, and EEG channels. A signi ican in e ac ion be ween con- di ion and channels we e also ound in he case o EEG [F (3.124, 96.843) = 3.614; p = 0.015; η2 = 0.104]. Howe e , his in e ac ion and he e ec o channels in EEG and NIRS- e will no be u he examined in his s udy, as ou ocus is on NIRS- i o localiza ion opog aphy due o i s supe io spa ial esolu ion. A co ical opog aphical isualiza ion o he PSD o NIRS- i esul s a ound 0.33 Hz is depic ed in Figu e3a, which illus a es pai ed - es s (FDR co ec ed o 126 compa isons: 3 condi ions × 42 channels) be ween condi ions ac oss all NIRS- i channels. 3.3 | Phase cohe ence The cohe ence o he di e en da a signals wi h he au- di o y s imula ion signal (0.33 Hz) is shown in Figu e2b. The epea ed- measu es ANOVA showed a main e ec o condi ion on phase cohe ence wi h he audi o y s imula- ion signal (0.33 Hz) o all he eco ded signals (Table2). Addi ional epea ed- measu es ANOVA wi h chan- nels as an added ac o ound a main e ec o channels on phase cohe ence wi h he audi o y s imula ion sig- nal (0.33 Hz) o NIRS- i [F (13.698, 397.236) = 1.895; p < 0.001; η2 = 0.061] and EEG [F (2.800, 81.214) = 6.923; p < 0.001; η2 = 0.193]. Signi ican in e ac ions be ween condi ions and channels we e also ound in NIRS- i [F (16.654, 482.971) = 2.070; p = 0.008; η2 = 0.067] and EEG [F (4.125, 120.204) = 4.429; p = 0.002; η2 = 0.132]. These esul s indica e ha cohe ence wi h he audi o y s im- ula ion signal (0.33 Hz) a ies ac oss NIRS- i and EEG channels, bu only unde speci ic condi ions. Figu e3b displays pai ed - es s (FDR co ec ed o 126 compa i- sons: 3 condi ions × 42 channels) compa ing condi ions o he cohe ence be ween he HbO signal o all NIRS- i channels and he audi o y s imula ion signal a 0.33 Hz, p o iding a opog aphical isualiza ion o he cohe ence esul s on he co ical su ace. 3.4 | Phase angle The ci cula ep esen a ions o he phase angles in he ac i e condi ion o each p ocessed signal and ype o d i e (S1, S4, and R) a e shown in Figu e4. Rayleigh's es e ealed signi ican unimodal clus e ing among pa - icipan s (non- uni o m ci cula dis ibu ion) a ound a speci ic mean angle di ec ion (θ) o he signals speci ied in Table3 (FDR co ec ion applied o 24 compa isons: 3 ypes o d i e s × 8 signals). These esul s indica e ha o ce ain signals, speci ic phase angles we e consis en ly p io i ized ac oss pa icipan s a he onse s o s imuli and esponses. A mixed- e ec s model was applied o all eco ded sig- nals. FDR co ec ion was applied o 48 compa isons, e- sul ing om 3 ypes o d i e s × 8 signals × 2 ans o med phase angles (sine and cosine). Type o ial showed a clea associa ion wi h eac ion ime, wi h longe eac ion imes o incong uen ials ( = 17.489, p (FDR) < 0.001). Signi ican associa ions we e also iden i ied be ween eac ion ime and he sine- ans o med phase angle o he esponse (R) in RSP ( = 2.864, p (FDR) = 0.038; sho e RT when close o 270°), he cosine- ans o med phase angle o S1 in HR ( = −2.654, p (FDR) = 0.048; sho e RT when close o 0°), he sine- ans o med phase angle o S4 in HR ( = −3.744, p (FDR) = 0.003; sho e RT when close o 90°), he cosine- ans o med phase angle o S1 in EEG ( = 3.042, p (FDR) = 0.028; sho e RT when close o 180°), he sine and cosine ans o med phase angle o S4 in EEG ( = 2.620, 4.716; p (FDR) = 0.040, <0.001, 2051817x, 2024, 19, Downloaded om h ps://physoc.onlinelib a y.wiley.com/doi/10.14814/phy2.70079 by Readcube (Lab i a Inc.), Wiley Online Lib a y on [21/10/2024]. See he Te ms and Condi ions (h ps://onlinelib a y.wiley.com/ e ms-and-condi ions) on Wiley Online Lib a y o ules o use; OA a icles a e go e ned by he applicable C ea i e Commons License 8 o 16 | MUÑOZ- CARACUEL e al. espec i ely; sho e RT when close o 180° and 270°, espec i ely), he cosine- ans o med phase angle o he esponse in EEG ( = 2.643, p (FDR) = 0.040; sho e RT when close o 180°) and he sine- ans o med phase angle o S1 in NIRS- i ( = −2.663, p (FDR) = 0.040; sho e RT when close o 90°). Random e ec s o pa - icipan indica ed signi ican a iabili y in he in e cep o eac ion ime (pa icipan : Va = 11,619, SD = 108, in milliseconds). O e all, hese esul s indica e ha longe eac ion imes we e obse ed when he RSP phase angle was nea 90° a esponse onse , app oxima ing he mean phase angle o 63° ac oss pa icipan s. Simila ly, longe eac ion imes occu ed when he NIRS- i phase angle was nea 270° a S1 onse , close o he g oup mean o 301°. In con- as , sho e eac ion imes we e associa ed wi h an EEG phase angle a ound 180° a S4 onse , which app oxima es he g oup mean phase angle o 164°. Addi ionally, sho e eac ion imes we e no ed when he HR phase angle was nea 90° a S4 onse , al hough his did no align wi h he mean phase angle o 347° ac oss pa icipan s. Figu e5 displays he a e age RT compu ed o all ials and pa icipan s a e e y phase angle (360°). Only signals ha show signi ican associa ions be ween eac ion ime and sine/cosine- ans o med phase angles o S1, S4, o R a e displayed. 4 | DISCUSSION This s udy aimed o shed ligh on he complex dynamics o b ain and body hy hms in esponse o hy hmic au- di o y s imula ion and hei beha io al implica ions, dis- inguishing be ween passi e and ac i e senso y encoding FIGURE 2 (a) PSD o he h ee expe imen al condi ions (baseline, passi e, and ac i e) and he di e en da a signals. The uppe bounded line ep esen s he accoun ed equency window o s a is ical analysis. (b) Violin plo s o he phase cohe ence be ween he di e en da a signals and he audi o y s imula ion a 0.33 Hz o he h ee expe imen al condi ions. Fo EEG, NIRS- i, and NIRS- e, he plo ed PSD and phase cohe ence was he a e age o all channels. Ve ical whi e lines inside he iolins indica e he in e qua ile ange, whe eas he whi e poin indica es he median alue. Each colo ed poin inside he iolins ep esen s a pa icipan (n = 30). Signi ican di e ences be ween condi ions a e speci ied wi h an as e isk o p (FDR) < 0.05 and wo as e isks o p (FDR) < 0.01. A, ac i e condi ion; B, baseline condi ion; EEG, elec oencephalog aphic ac i i y; NIRS- e, ex ace eb al HbO; NIRS- i, in ace eb al/co ical HbO; HR, hea a e; P, passi e condi ion; PPG, pe iphe al pulse; PTT, pulse ansi ime; RSP, espi a o y e o ; SCL, skin conduc ane le el. 2051817x, 2024, 19, Downloaded om h ps://physoc.onlinelib a y.wiley.com/doi/10.14814/phy2.70079 by Readcube (Lab i a Inc.), Wiley Online Lib a y on [21/10/2024]. See he Te ms and Condi ions (h ps://onlinelib a y.wiley.com/ e ms-and-condi ions) on Wiley Online Lib a y o ules o use; OA a icles a e go e ned by he applicable C ea i e Commons License | 9 o 16 MUÑOZ- CARACUEL e al. p ocesses. Ou indings indica e ha ac i e engagemen wi h hy hmic audi o y s imuli holis ically en ains a i- ous bodily oscilla ions o he ex e nal hy hm, o e ing insigh s in o he in ica e in e play be ween bodily and en i onmen al hy hms and hei implica ions o senso- imo o pe o mance. 4.1 | Powe spec al densi y The PSD esul s e ealed a p onounced peak a 0.33 Hz ac oss all cen al and au onomic ne ous sys em signals eco ded du ing he ac i e condi ion, co esponding o he equency o audi o y s imula ion. S a is ical analysis con- i med signi ican di e ences in PSD be ween he ac i e condi ion and bo h passi e and baseline condi ions, ex- cep o PPG, which did no exhibi signi ican di e ences be ween he ac i e and passi e condi ions. These esul s align wi h exis ing li e a u e on neu al en ainmen as a mechanism o selec i e a en ion (Laka os e al.,2008, 2019; Oblese & Kayse , 2019), ex ending his phenom- enon o co ical oxygena ion le els and au onomic e- sponses du ing a en ional engagemen in senso imo o cogni i e asks. Addi ionally, he PSD o he EEG a 0.33 Hz was highe in he passi e condi ion compa ed o he base- line condi ion, indica ing neu al en ainmen o senso y s imula ion e en in he absence o conscious a en ional e o , consis en wi h p e ious epo s (C iscuolo, Schwa ze, Hen y, e  al., 2023; C iscuolo, Schwa ze, P ado, e al.,2023). Howe e , no en ainmen was ob- se ed o co ical oxygena ion le els du ing he passi e condi ion compa ed o he baseline condi ion, sugges - ing ha passi e en ainmen may equi e lowe me a- bolic b ain esou ces. Conce ning he co ical opog aphy o he PSD e- sul s a he equency o audi o y s imula ion, measu ed h ough NIRS- i, he indings demons a ed a g ea e am- pli ude o co ical HbO a 0.33 Hz in he ac i e condi ion compa ed o bo h passi e and baseline condi ions, pa ic- ula ly in he in e io on al gy us (IFG), supe io empo- al gy us (STG), and in e io pa ie al lobule (IPL), which a e co ical egions associa ed wi h keeping he me e in musical con ex s (Vuus e al.,2006). These PSD esul s sugges a gene alized en ainmen ac oss a ious bodily oscilla ions as a means o ac i ely engaging wi h hy hmic audi o y s imula ion, while he en ainmen o co ical oxygena ion le els exhibi s a lo- calized e ec in b ain egions specialized o audi o y p ocessing. 4.2 | Phase cohe ence Consis en wi h he PSD esul s, he cohe ence analysis p o ided addi ional e idence o inc eased en ainmen o audi o y s imula ion o all eco ded signals du ing he ac i e condi ion, in compa ison o bo h passi e and baseline condi ions. In his case, alongside EEG, SCR also demons a ed heigh ened synch oniza ion wi h incoming audi o y inpu s du ing he passi e condi ion compa ed o he baseline. In e es ingly, no signi ican di e ences we e obse ed in SCR cohe ence wi h audi o y inpu s be ween he ac i e and passi e condi ions. Gi en ha phasic EEG- EDA esponses ha e been shown o ep esen salience- dependen eac ions o incoming s imuli as pa o he o ien ing o de ensi e e lex, i espec i e o a en ional engagemen (Muñoz- Ca acuel e al.,2021; Sokolo ,1990), hese indings could be in e p e ed as indica i e o a sub- le o m o unde lying communica ion be ween he CNS and ANS occu ing in he con ex o hy hmic s imula ion wi h a iable sequence p esen a ion. The co ical opog aphy o cohe ence esul s wi h au- di o y s imula ion, in con as o PSD co ical opog aphy, e ealed g ea e cohe ence o HbO le els wi h he audi- o y s imula ion ac oss he en i e eco ded co ical su ace du ing he ac i e condi ion, a he han a mo e specialized TABLE 1 S a is ical esul s om he PSD analysis a ound he equency o in e es (0.33 Hz). Signal d F p η2 SCR 1.236, 38.309 7.418 0.006 0.193 HR 1.400, 43.403 10.068 0.001 0.245 PPG 1.403, 43.487 3.586 0.051 0.104 RSP 1.279, 39.639 11.636 < 0.001 0.273 PTT 1.023, 31.710 7.659 0.009 0.198 NIRS- e 1.426, 44.195 7.601 0.004 0.197 NIRS- i 1.362, 42.234 14.172 < 0.001 0.314 EEG 1.088, 33.741 39.592 < 0.001 0.561 No e: Pos hoc compa ison analysis (FDR co ec ed o 24 compa isons: 3 condi ions × 8 signals) e ealed ha he PSD o SCR, HR, RSP, EEG, NIRS- i, NIRS- e, and PTT a ound 0.33 Hz we e highe o he ac i e as compa ed wi h he passi e condi ion [ (1, 29) = 2.546, 3.289, 3.149, 6.544, 3.509, 3.469, and 2.645, espec i ely; p (FDR) = 0.016, 0.003, 0.004, <0.001, 0.001, 0.002, and 0.013, espec i ely], as well as o he ac i e as compa ed wi h he baseline condi ion [ (1, 29) = 3.093, 3.430, 3.872, 6.759, 4.308, 2.422, and 2.890, espec i ely; p (FDR) = 0.004, 0.002, <0.001, <0.001, <0.001, 0.021, and 0.007, espec i ely]. The PSD o PPG was g ea e o he ac i e as compa ed wi h he baseline condi ion [ (1, 29) = 2.056; p (FDR) = 0.048]. The PSD o EEG and PTT was also highe o he passi e as compa ed wi h he baseline condi ion [ (1, 29) = 3.333, 2.218, espec i ely; p (FDR) = 0.002, 0.034, espec i ely]. Al oge he , hese esul s indica e a signi ican ampli ude peak a 0.33 Hz ac oss all eco ded signals du ing he ac i e condi ion. Abb e ia ions: d , deg ees o eedom; EEG, elec oencephalog aphic ac i i y; F, F- s a is ic; NIRS- e, Ex ace eb al HbO; NIRS- i, In ace eb al/ co ical HbO; HR, hea a e; p, p- alue; PPG, pe iphe al pulse; PTT, pulse ansi ime; RSP, espi a o y e o ; SCR, skin conduc ance esponse; η2, e a squa ed (e ec size). 2051817x, 2024, 19, Downloaded om h ps://physoc.onlinelib a y.wiley.com/doi/10.14814/phy2.70079 by Readcube (Lab i a Inc.), Wiley Online Lib a y on [21/10/2024]. 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