Abstract
39
Significance 40
Infant functional near-infrared spectroscopy (fNIRS) data are particularly vulnerable 41
to noise; participant behaviour can result in motion artefacts and reduced set-up 42
times can cause poor optode coupling. Accurate channel pruning is therefore essential 43
but approaches vary and often use adult-derived thresholds, risking unnecessary data 44
loss. 45
Aim 46
This work systematically compared pruning approaches and parameter choices to 47
evaluate their effects on data quality and retention in infant fNIRS. 48
Approach 49
Data from 5–24 month-old infants were collected across two cohorts, using two 50
paradigms. Channel pruning was performed using the coefficient of variation (CV) and 51
the Quality Testing of Near Infrared Scans (QT-NIRS) tool, varying key thresholds. 52
Multilevel models assessed effects of pruning method, parameter choice, age, motion, 53
and testing site on signal-to-noise ratio (SNR) and channels retained. 54
Results
55
QT-NIRS produced significantly higher SNR than CV pruning across nearly all age, 56
task, and cohort combinations, when matched for data retention. Higher QT-NIRS 57
thresholds improved quality but reduced retention. Motion prevalence strongly 58
reduced both SNR and retention; testing site and age had smaller but notable effects. 59
Conclusions
60
QT-NIRS offers a better balance of data quality and retention than CV pruning. Lower 61
QT-NIRS thresholds than adult defaults are recommended for infant data. These 62
findings provide practical guidance for preprocessing pipelines in developmental 63
fNIRS research. 64
65
Keywords
infant fNIRS, channel pruning, processing66
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1 Introduction 67
1.1 Scalp-optode coupling 68
In a typical functional near-infrared spectroscopy (fNIRS) experiment, participants 69
wear a headband or cap embedded with optodes to monitor brain activity by emitting 70
and detecting near-infrared light at two separate wavelengths. When fitted securely, 71
the cap ensures a motion-robust signal, enabling the study of a wide range of cognitive 72
tasks and abilities with less stringent demands for stillness than other neuroimaging 73
modalities [1]. For this reason, fNIRS is widely used with developmental populations 74
[2]. However, signal processing is usually still required to remove artefacts arising 75
from motion, poor scalp-optode coupling, and physiological signal confounds [3], [4], 76
[5]. Infant data is particularly susceptible to motion and poor scalp-optode coupling, 77
as infants typically exhibit increased fussiness, limited compliance with instructions, 78
and shorter attention spans, which increase the likelihood of participant motion, 79
reduced capping time and difficulties in handling the imaging headgear [6]. In fact, 80
poor coupling allow s light from the source optode(s) to escape , or ambient light to 81
flood detector optode(s) [7]. Affected channels can exhibit signal saturation (easily 82
detectable by unrealistically high raw intensity values caused by excessive light 83
reaching the detector) and greater variability, which impacts the estimation of the 84
haemodynamic response [8] whose amplitude is already lower and more variable in 85
infants than in older participants [9], [10]. 86
1.2 Strategies to mitigate poor optode coupling 87
Fitting the fNIRS headgear securely aids scalp-optode coupling [7] but is time-88
consuming and assumes stable coupling throughout recording, which is challenging 89
when working with infant participants. To reduce the impact of poor coupling on data 90
quality, post-hoc channel pruning – the exclusion of data from an entire channel – is 91
therefore often required. An important pruning consideration is the trade-off 92
between data retention and quality: removing poorly-coupled channels improves 93
overall signal quality and mitigates the impact of superfluous signals, but reduces the 94
number of remaining channels and participants available for analysis [6]. This is 95
particularly important in infant research given the already high attrition rates due to 96
low attention span and susceptibility to fussiness [11]. Pruning method selection is 97
important, and manually pruning channels is subjective and time-consuming [8], 98
especially for high-density imaging arrays. Two methods are often used to prune 99
channels: the coefficient of variation (CV) or the ‘Quality Testing of Near-InfraRed 100
Spectroscopy’ (QT-NIRS) tool. 101
CV pruning quantifies the relative signal variability. Channels are pruned if the 102
CV for either wavelength falls below a particular threshold [12], [13], if the CV 103
difference between wavelengths exceeds a threshold [14], or both [15]. While this 104
Method
is faster and less subjective than manual pruning, a parameter choice is still 105
required and some levels of variability - which is expected in the task -based fNIRS 106
signal due to the evoked haemodynamic response [16] - may be interpreted as signal 107
noise. Additionally, CV pruning only examines the signal in the time domain, 108
potentially overlooking important signal properties. 109
QT-NIRS utilizes objective signal measures from both the time- and frequency 110
domains [7], [16], providing a more comprehensive consideration of signal quality. 111
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Channels are pruned via signal characteristic assessments in two domains using the 112
scalp coupling index (SCI) and peak spectral power (PSP) . The SCI is a time -domain 113
approach, which assesses correlation between wavelengths within the cardiac 114
frequency band after bandpass filtering the signal, with high values indicative of a 115
strong cardiac component [17]. This incorporates a time-domain signal characteristic, 116
but also risks retaining channels with high correlation due to motion-induced 117
artefacts. To address this, QT-NIRS incorporates a second measure based on the 118
frequency domain, PSP, which detects strong, recurrent oscillations in the signal. High 119
PSP values in the cardiac frequency band likely correspond to cardiac pulsations, 120
whereas components with inconsistent or varying frequencies usually result in lower 121
PSP values. QT -NIRS utili zes strengths from manual pruning (physiological 122
grounding, consideration of both time- and frequency domains) and CV pruning 123
(objectivity; efficiency) making it a robust tool for assessing data quality at the 124
channel level. 125
Recently, QT-NIRS has been increasingly adopted in infant fNIRS research [18], 126
[19] yet independent comparisons with other pruning approaches are yet to be 127
established, and empirical estimations of SCI and PSP parameters are available only 128
for adult participants [7], [16]. This highlights the need to refine its implementation 129
with infant data. In addition to behaviour, both physiological and anatomical factors 130
may affect channel pruning in infants: they have thinner scalp tissue and higher 131
cardiac signal frequencies (~1.3–3.2 Hz at rest, compared to ~1–1.7 Hz in adults)[20], 132
[21]. The former may result in a weak superficial cardiac signal, whereas the latter 133
may result in coarse representations of the infant cardiac signal by fNIRS 134
instrumentation sampling rates optimized for adult participants [22]. Further, signal 135
quality can be detrimentally affected by skin and hair colour, hair type, age and even 136
head size with darker skin pigmentation and thicker hair corresponding to poorer 137
signal quality when compared to other skin and hair types [23], illustrating the need 138
for inclusion of less-frequently sampled populations in fNIRS studies. 139
Against this backdrop, the objectives of this work are to: 140
(a) Compare QT-NIRS as a pruning method against pruning using CV, which is 141
used frequently by fNIRS users – and provides a baseline for channel pruning 142
via a previously employed method and parameters 143
(b) Investigate contextual and data-derived measures which affect data quality 144
and channel retention (with a particular focus on QT-NIRS parameter choices, 145
age and motion incidence) 146
(c) Provide guidance on channel pruning and QT-NIRS use for infant participants 147
To achieve this, fNIRS data from the Brain Imaging for Global HealTh (BRIGHT) 148
Project [24], a longitudinal study of infant development in Kiang West (The Gambia) 149
and Cambridge (UK), were analyzed. The analyses in this work incorporates data from 150
two different experimental paradigms, collected from both the Gambian and UK sites 151
and pertaining to participants with physical and behavioural characteristics from 152
both a commonly -sampled and a more underrepresented population in fNIRS 153
research [23]. The longitudinal nature of the data (with five time points over the first 154
two years of life) further enables the investigation of the effects of age across early 155
childhood while accounting for variability in cohort and task. 156
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Based on prior literature and exploratory findings, the following hypotheses 157
were formulated: 158
(1) QT-NIRS based pruning will result in a greater balance of data quality and 159
retention compared to CV, due to its multidomain examination of signal 160
characteristics 161
(2) Motion will be negatively associated with signal quality and retention, 162
because of (i) increased likelihood of latent, undetected artefacts in data 163
where more motion is detected, (ii) displacement of optodes affecting 164
signal quality after motion artefacts, or both. 165
(3) Data quality and retention will be diminished in the Gambian cohort, given 166
the increased probability of darker, coarser hair types interfering with 167
optode-scalp coupling 168
2 Methods 169
2.1 Data 170
2.1.1 Participants 171
Participants were recruited into the BRIGHT project, from early 2016 to February 172
2018, and fNIRS data were collected when infants were 1-, 5-, 8-, 12-, 18- and 24 173
months (hereafter 𝑥mo for 𝑥 months of age), plus a follow-up between 3 and 5 years 174
of age [25], [26]. The 1mo fNIRS protocol was limited to auditory stimuli with sleeping 175
participants [27], likely inducing infant motion with a different noise profile; at 3 -5 176
years, a different fNIRS cap for data collection was used and data at this age were not 177
collected in the UK site. To enable matched dataset comparisons, data from the other 178
5 time points (5-, 8-, 12-, 18- and 24mo) was therefore used in this work. Participants 179
met the inclusion criteria if infants were born at 37 –42 weeks’ gestation (both 180
cohorts) and had a minimum birth weight of 2.5 kg (UK only). 181
After applying exclusion criteria, a total of 204 mother-infant dyads were 182
included in the Gambian cohort; of these, 185 remained at the 24mo timepoint. 183
Pregnant, Mandinka -speaking women were recruited during routine antenatal 184
clinical assessments at MRCG@LSHTM Keneba Field Station by fieldworkers in the 185
Gambian BRIGHT Project team. An information sheet and consent form written in 186
English were provided to potential recruits then explained fully in Mandinka by a 187
study staff member. fNIRS data collection took place at MRC Unit The Gambia at the 188
London School of Hygiene and Tropical Medicine (‘MRCG@LSHTM’) Keneba Field 189
Station. Ethical approval was granted by the joint Gambia Government/MRC Ethics 190
Committee under the title: ‘Developing brain function for-age curves from birth using 191
novel biomarkers of neurocognitive function’, SCC number 1451v2. 192
61 mother-infant dyads were enrolled in the UK from the Rosie Hospital, 193
Cambridge University Hospitals NHS Foundation Trust. Information about BRIGHT 194
was provided during antenatal appointments, with families expressing an interest 195
contacted and recruited subsequently via email or phone call. Data collection 196
primarily took place at Evelyn Perinatal Imaging Centre at Rosie Hospital, 197
Addenbrooke’s Hospital, Cambridge, and to a lesser extent at the Centre for Brain and 198
Cognitive Development in Cambridge [24], [28]. Ethical approval was given by the 199
National Research Ethics Service Committee East of England (REC reference 200
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13/EE/02000); informed written consent was obtained from all parents/carers prior 201
to participation. 202
2.1.2 fNIRS Paradigms 203
Social/Non-Social paradigm 204
Full details of the Social/Non-Social (SNS) task paradigm can be found in [15] and 205
[29]. Briefly, the paradigm consisted of alternating visual social (silent), auditory 206
social and auditory non -social stimuli. Stimuli repeated until the participant became 207
bored or fussy or the end of the task was reached; inter-stimulus baselines varied 208
between 9 to 12 seconds. 209
Visual social stimuli consisted of full colour, life-sized videos of adults from the 210
same population as the participant, on a 24 -inch screen ~100cm away. Throughout, 211
adult actors in the video either moved their eyes or played ‘hand-games’ for 9-12 212
seconds. Actors, their actions, and concurrent spoken auditory stimuli were varied to 213
prevent anticipatory brain activity. Auditory stimuli were non-synchronized to the 214
video in terms of both duration (8 seconds) and content, with environmental sounds 215
for non-social stimuli and non-vocal speech sounds for social stimuli. Sounds in each 216
condition (social and non-social) were matched for duration and sound intensity. 217
Habituation and novelty detection (HaND) paradigm 218
The experimental paradigm included 25 trials, each consisting of a spoken 8sec 219
sentence in the family’s first language (i.e. English or Mandinka) followed by 10sec of 220
silence. The first trial was preceded by at least 10sec of silence, acting as a baseline. 221
The same recording, with a female voice, was used for trials 1 -15; a different, 222
male voice was used for trials 16-20; finally, the original, female recording was again 223
used for trials 21 -25. The stimulus sentence: “Hi baby! How are you? Are you having 224
fun? Thank you for coming to see us today. We're very happy to see you” was translated 225
to Mandinka to maintain the same semantic meaning. 226
Technical detail on the recording, processing and playback of the auditory 227
stimulus can be found in previous work [14], [26]. 228
2.1.3 Data collection 229
Custom-made headgear was fitted after head measurements (head circumference, 230
and ear-to-ear both around the forehead and over the top of the head) had been taken 231
to aid with the alignment of fNIRS headgear with the 10/20 system anatomical 232
landmarks. Headgear consisted of custom -built stretchy silicone headbands to 233
increase friction and prevent slippage, with attached probes into which optodes were 234
clipped. Optodes were designed to accommodate glass optic fibres at right-angles to 235
allow them to sit flush on the scalp. The headband was fastened around the head to 236
provide even pressure over the base of the probes [30], [31]. In the left hemisphere, 237
headgear was placed such that source 4 in Figure 1 was centered abo ve the 238
preauricular point, so that the channel it formed with the detector located directly 239
behind it sat above T3 in the 10-20 system; the equivalent right hemisphere channel 240
was above T4. The array angle was guided by the headband, which was placed on the 241
head so that it touched the join between the ear and head and, frontally, lay over the 242
infant brow line (through Fp1 and Fp2 in the 10-20 system) [32]. 243
The headgear was designed to record responses bilaterally from auditory-244
associative brain regions, including the inferior frontal gyrus (IFG), middle and 245
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superior temporal regions, and the temporo-parietal junction [14], [33], [34]. The 246
fNIRS array comprised 17 channels in each hemisphere with a source -detector (S-D) 247
distance of 2cm, corresponding to a penetration depth of ~1cm from the skin surface 248
and thus permitting measurement of the gyri and superficial sulci [14]. fNIRS data 249
were collected using this array design with the NTS optical topography system 250
(Gowerlabs Ltd., UK) with a sampling frequency of 10Hz and source wavelengths of 251
850 and 780nm.π 252
Infants sat on a carer’s lap during data acquisition. Carers were discouraged 253
from interacting with the infant to attempt to minimize confounding stimuli however 254
infants’ attention was engaged , if necessary, with (non-social, non-auditory) bubble-255
blowing and silent demonstration of soft toys, which also minimized infant head 256
movement. The HaND task was part of a larger battery of fNIRS assessments with a 257
total recording time of ~ 21min 30 s (6min social task; 4min functional connectivity 258
data acquisition; 7min 30 s HaND; 4min further functional connectivity). Where 259
possible, paradigms were completed uninterrupted; sessions were paused and 260
subsequently resumed in the event of infant discomfort. [35] 261
2.2 Channel Pruning 262
2.2.1 Pre-pruning steps 263
First, channels were excluded from analyses if their minimum light intensity value 264
was less than 3e-4, based on previous experience with the NTS system [14]; these 265
were labelled ‘channels with signal extrema’ (CSE). Analysis of the pruning methods 266
was conducted on motion -free segments. To find motion -free data, motion artefacts 267
were detected using hmrMotionArtifactByChannel function from Homer2 [36] with 268
established infant fNIRS preprocessing parameters: tMotion = 1, tMask = 1, 269
STDEVthresh = 15 and AMPthresh = 0.4 [37]. Data for each channel was split into 3 270
second windows per channel, as this aligned with QT-NIRS temporal segmentation 271
and thus avoided additional processing complexities. Windows were excluded from 272
pruning analyses if they contained artefacts at any point. If the data for a particular 273
channel at one wavelength was excluded, data for both wavelengths was removed. 274
Figure 1: Array layout during data collection. Red dots
indicate position of optodes centred above the preauricular
point during headgear fitting.
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The two channel pruning methods assessed in this work were implemented 275
using custom-written scripts in MATLAB [26]. Both pruning methods described use 276
raw light intensity data as input. 277
2.2.2 CV Pruning 278
CV pruning was conducted using an in -house script, and CV itself was calculated on 279
motion-free data for each wavelength and channel using the equation: 280
𝐶𝑉 = 𝜎
|𝜇| 281
where 𝜎 and 𝜇 are the standard deviation and mean of the light intensity signal in a 282
channel, respectively [38]. Channels were pruned if the difference between CV values 283
for each wavelength exceeded 0.2 based on previous experience with the same data 284
and system [14]. 285
2.2.3 QT-NIRS pruning 286
QT-NIRS was implemented using the function qtnirs (available at 287
https://github.com/lpollonini/qt-nirs at the time of writing) for precise control over 288
the pruning and quick, repeated processing of the large volume of data. 289
More detail on QT -NIRS can be found in publications describing the methods 290
[7], [17] but an outline is provided here. First, bandpass filtering is conducted to retain 291
only those frequencies in the cardiac band , ~1.3 − 3.2𝐻𝑧 in the case of infants [20]. 292
The cross -correlation of contemporaneous (zero -lag) wavelength signals in the 293
cardiac frequency band, (i.e., SCI), is then calculated: 294
𝑆𝐶𝐼 = 𝑥̅)! ⊗ 𝑥̅)" (0) 295
where 𝑥̅)* represents the light intensity signal for wavelengths 𝑖 = 1, 2 in motion-free 296
signal. PSP is the maximum signal value in the frequency domain, representing the 297
dominant oscillation in the bandpass -filtered signal and presumed to correspond to 298
the cardiac frequency in well-coupled data. The recorded signal is divided into equal-299
length windows, and both SCI and PSP are calculated for each window. A window's 300
signal is considered of sufficient quality if both the calculated SCI and PSP exceed the 301
user-defined thresholds, sci_threshold and psp_threshold, respectively. 302
The focus was on the alteration of sci_threshold and psp_threshold during 303
analysis, since each provides a threshold for one of the key measures of optode 304
coupling quality used to assess data quality with QT-NIRS, and adult reference values 305
of sci_threshold = 0.8 and psp_threshold = 0.1 are available for these two parameters 306
[16]. Default parameters were used for window size (3 seconds) and quality 307
threshold, or q_threshold (0.75), which prunes channels with less than 75% of 308
windows meeting both SCI and PSP threshold values. 309
2.3 Statistical analyses 310
Multi-level models (MLMs), a form of linear regression that estimates variance at 311
multiple levels, were used for statistical analyses, to effectively account for repeated 312
measures, hierarchical data structures (including participant- and channel-level 313
measures), and missing data [39]. All models were fitted in R 4.4.1 [40] using the 314
lme4 package [41]. All models included random intercepts for each participant to 315
account for individual variation. Final models used for analysis are described in 316
‘Models and Analyses’. 317
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2.3.1 Measures, Outcomes and Effects 318
Considering the anticipated data quality/inclusion trade-off, which is central to 319
decision making around preprocessing of fNIRS data [6], the performance of pruning 320
Methods
and parameters were assessed using two metrics: (i) signal -to-noise ratio 321
(SNR) and (ii) channel inclusion/exclusion percentage. 322
The effects of other factors such as age, motion, and signal extrema, were 323
included as predictors. Other measures were more particular to this dataset - such 324
as task, cohort and optode position. They were included as covariates to account for 325
the variability they may cause. 326
The variables used are listed below, with letters contained in brackets 327
indicating whether they were used as outcome variables (O), predictors (P), or 328
covariates (C). Full rationale can be found in Supplementary Materials 1. 329
2.3.1.1 Task-relevant channel signal-to-noise ratio (O) 330
Signal quality after pruning was measured on the included channels using the signal-331
to-noise ratio (SNR): 332
𝑆𝑁𝑅 = 20 log!+
𝜇
𝜎 333
with 𝜇 and 𝜎 the mean and standard deviation of the signal, respectively [5]. SNR was 334
calculated in ‘task-relevant channels’ (TRCs) – channels where a true haemodynamic 335
signal was observed. Age-specific TRCs were determined using prior analyses: the 336
SNS TRCs were taken from work by Benerradi and colleagues [25] whereas the HaND 337
TRCs were taken from work by Blasi and colleagues [26]. TRCs for each age and task 338
were those which exhibited a haemodynamic response in both chromophores for 339
either cohort, except the SNS task at 18mo: only 1 channel met this criterion, so 340
channels were added for this age/task combination if they were in the set of TRCs for 341
at least two other ages for the SNS task. This outcome was named the task -relevant 342
channel signal-to-noise ratio (TRC SNR). 343
2.3.1.2 Channels retained (O) 344
The number of channels per participant included after pruning using the described 345
Method
and parameter(s) was summed – this was labelled ‘Channels Retained’ (CR). 346
2.3.1.3 SCI Threshold (P) 347
sci_threshold values ranging from 0.05 to 0.9 were used, with increments of 0.05. The 348
upper threshold of 0.9 sits between the recommended value for adult participants 349
(0.8) and the theoretical maximum of SCI = 1. Initial exploratory analyses (see 350
Supplementary Materials 2) for each age/task/cohort combination indicated that 351
even very low SCI values continued to alter signal quality, so the entire range of lower 352
values was used. 353
2.3.1.4 PSP Threshold (P) 354
The psp_threshold value was varied, ranging from 0.005 to 0.1, with increments of 355
0.005. The upper value of 0.1 is the recommended threshold for adult participants. 356
Values which spanned the entire possible range lower than this – based on initial 357
Results
from simpler MLM analyses – were used; this is supported by the considerable 358
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proportion of infant PSP values lower than the adult threshold apparent during post-359
analysis data examination in the UK cohort (see Figure 2). 360
2.3.1.5 Percentage of motion (P) 361
For each participant/age/task combination, the cross -channel mean of the 362
percentage of windows per channel containing motion as identified by 363
hmrMotionArtifactByChannel and subsequently excluded from analyses (see 364
‘Pruning’) was labelled the ‘Percentage of Motion’ (PoM) providing a measure of the 365
prevalence of motion. 366
2.3.1.6 Age (P) 367
Age was included as a five-level predictor (5-, 8-, 12-, 18-, 24mo) to assess change 368
with age. 369
2.3.1.7 Cohort (C) 370
Cohort was included as a two-level covariate (Gambia and UK). 371
2.3.1.8 Task (C) 372
Task was included as a two -level covariate (HaND and SNS) to account for the 373
contribution to variance of the different paradigms. 374
2.3.1.9 Channels pruned due to signal extrema (C) 375
The number of CSE per participant, for each age and task, was used as a participant -376
level covariate and proxy measure of poor optode coupling. 377
378
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2.3.2 Models and analyses 379
2.3.2.1 Comparison of QT-NIRS and CV pruning 380
In line with objective (a), each fNIRS recording underwent channel pruning using: 381
1. CV, by pruning channels where the CV values for different wavelength signals 382
differed by 20% or more (‘CV’) 383
2. sci_threshold only at every parameter value, by setting psp_threshold to 0, (‘SCI 384
Only’), and 385
3. every combination of sci_threshold and psp_threshold parameters listed in 386
‘Measures, Outcomes and Effects’ (‘Full QT-NIRS’) 387
Top: bar charts showing the proportion low channel Average SCI and Average PSP
measures in relation to the adult recommended parameters of 0.8 (SCI) and 0.1 (PSP),
and half of these threshold values (0.4 and 0.05, respectively). Top -left: Gambia cohort.
Top-right: UK cohort. Bottom: number of participants, by age and Task, with less than
60% of acceptable channels exhibiting mean SCI and PSP values compared to adult
threshold values of 0.8 and 0.1, respectively. Highest exclusion rate was ~33% for UK
infants at 18mo during the SNS task.
Figure 2: Data characteristics in relation to adult QT-NIRS thresholds.
SNS
HaND (5)
SNS (5)
HaND (
8)
SNS (
8)
HaND
(12)
SNS (12)
HaND (18)
SNS (18)
HaND (
24)
SNS (24)
HaND (5)
SNS (5)
HaND (8)
SNS (8)
HaND
(12)
SNS (12)
HaND (18)
SNS (18)
HaND (24)
SNS (24)
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Pruning method 1 provides a baseline for the channel pruning, using a method and 388
pruning criteria which has previously been used for the HaND task [14]. Pruning 389
approach 2 permits comparison of two time-domain methods (methods 1 and 2) to 390
assess the impact of incorporating temporally specific measures. Pruning approach 3 391
provides insight into the benefit of additionally using a PSP threshold and pruning 392
using frequency characteristics of the signal. 393
For every age/task/cohort combination, each sci_threshold parameter choice 394
(SCI) or combination of sci- and psp_threshold values (QT-NIRS) were given two 395
separate rankings according to their similarity to CV pruning, in terms of the mean 396
number of channels retained across all participants and the total number of 397
participants excluded. These two rankings were then combined to find the parameter 398
(SCI) or parameters (QT-NIRS) producing the closest approximation to data retention 399
provided by CV pruning. 400
For each of the 20 age (5 levels)/task (2 levels)/cohort (2 levels) 401
combinations, the following model was then fitted to participant-level data: 402
𝑇𝑅𝐶 𝑆𝑁𝑅 ~ 𝑃𝑟𝑢𝑛𝑖𝑛𝑔 𝑀𝑒𝑡ℎ𝑜𝑑 + (1 | 𝐼𝐷) 403
Equation 1 404
to compare the effect of pruning methods (1)-(3) on signal quality whilst using a 405
random intercept for each infant to account for inter -participant variability. To 406
correct for multiple comparisons, p-values were Bonferroni-corrected. 407
2.3.2.2 Effect of SCI and PSP threshold choice on signal quality and retention 408
Models were designed to investigate the effect of sci_threshold, psp_threshold, age, and 409
motion on TRC SNR and Channels Retained (Objectives (b) and (c)). 410
To examine potential combinations of theoretically viable predictors, 411
covariates, and their interactions used for each outcome, a systematic approach to 412
model building was used as a first step, combining predictors in various model 413
formulae using combinatorial logic before assessing model fit. Model fit was assessed 414
using the Akaike Information Criterion (AIC) [42], a model selection criterion that 415
balances goodness of fit with model complexity [43, p. 824]. Model variables were also 416
included based on the outcomes of the subsidiary investigations described in 417
Supplementary Materials 3 which investigated the factors affecting motion incidence 418
and average SCI and PSP measures at the channel level. These additional variables are 419
included in the bottom line of Equation 2. 420
Mindful of model convergence issues and overfitting, the priority when 421
constructing models was to include predictors of interest, plus interaction terms, 422
random slopes and random intercepts which incorporated them. This resulted in the 423
following model for both outcomes TRC SNR and Channels Retained: 424
𝑂𝑢𝑡𝑐𝑜𝑚𝑒 ~ 𝑆𝐶𝐼 ∗ 𝑃𝑆𝑃 + 𝐴𝑔𝑒 ∗ 𝑆𝐶𝐼 + 𝐴𝑔𝑒 ∗ 𝑃𝑆𝑃 + 425
𝑆𝐶𝐼 ∗ 𝑃𝑜𝑀 + 𝑃𝑆𝑃 ∗ 𝑃𝑜𝑀 + 𝐴𝑔𝑒 ∗ 𝑃𝑜𝑀 + 426
𝑇𝑎𝑠𝑘 + 𝐶𝑜ℎ𝑜𝑟𝑡 + 𝐶𝑆𝐸 + (1 | 𝐼𝐷) + 427
(1 | 𝑆𝐶𝐼: 𝐶𝑜ℎ𝑜𝑟𝑡) + (1 | 𝑃𝑆𝑃: 𝐶𝑜ℎ𝑜𝑟𝑡) 428
Equation 2 429
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where SCI = sci_threshold, PSP = psp_threshold, and symbol ‘∗’ denotes an interaction 430
term (itself denoted using ‘:’) plus all individual terms used in the interaction, as is 431
consistent with notation used in the lme4 package. Random intercept terms (bottom 432
row) were included due to quantitative support based on subsidiary MLM 433
investigations into average SCI and PSP measures. 434
Assessments of the model residuals showed that they were non-normally 435
distributed, so to calculate effects a bootstrapping approach was used. Bootstrap 436
datasets were generated by sampling rows from the original dataset with 437
replacement, using a fixed random seed for reproducibility. The relevant model for 438
each bootstrap sample was fitted using the lmer function from the lme4 package and 439
extracted fixed effect estimates. To mitigate potential biases caused by fitting models 440
to data with different scales, variables 𝑥* were scaled and centred: 441
𝑥*′ = 𝑥* − 𝑥̅
𝑠,
442
Equation 3 443
where 𝑥*′ is the scaled value, and 𝑥̅ and 𝑠, are the sample mean and standard 444
deviation, respectively, of variable 𝑥. 445
3 Results 446
CV pruning yielded an average TRC SNR of 23.7 ± 1.66 across all 20 age/task/cohort 447
combinations. Pruning with QT-NIRS using just the SCI threshold resulted in a mean 448
increase of 2.13 ± 0.644 in TRC SNR beyond that obtained using CV pruning. Similarly, 449
using both SCI- and PSP thresholding in combination resulted in a mean TRC SNR 450
increase of 2.16 ± 0.627 in comparison to CV pruning (see Figure 3, and 451
Supplementary Materials 4 for the full comparison of TRC SNR values). 452
Figure 3: Example violin plot demonstrating typical differences
between obtained mean TRC SNR values using CV pruning, QT-NIRS
using SCI threshold only, and QT-NIRS utilising both parameters
for Gambian participants at 12mo during the SNS task.
TRC SNR for 12 month infants. Task: SNS; Cohort: Gambia
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3.1 Comparison of QT-NIRS and CV pruning 453
3.1.1 Pruning using CV and QT-NIRS 454
The effect size and Bonferroni -corrected significance values of the 3 contrast 455
conditions were calculated using Equation 1; results are displayed in 456
Table 1. For 19 of the 20 age/task/cohort combinations, significant (p < 0.01) positive 457
effects were found on the TRC SNR when controlling for data rejection when using 458
QT-NIRS, using either the SCI Only or Full QT -NIRS approach. In 17 of 20 459
combinations, the differences were found to be statistically significant at the p < 460
0.0001 threshold. Though the effect was positive for the single remaining 461
combination of 20, it did not reach statistical significance. 462
Table 1: Condition contrasts between each of the three pruning methods 463
CV vs SCI Only CV vs Both Parameters SCI Only vs Both Parameters
Age
(months) Task Cohort Significance Effect
Size Significance Effect
Size Significance Effect Size
5 HaND Gambia <0.001 20.85 <0.001 20.83 1.0 0.05
8 HaND Gambia <0.001 12.71 <0.001 12.75 1.0 <0.01
12 HaND Gambia <0.001 19.32 <0.001 19.70 1.0 0.27
18 HaND Gambia <0.001 17.04 <0.001 17.10 1.0 0.04
24 HaND Gambia <0.001 12.36 <0.001 12.12 1.0 0.17
5 SNS Gambia <0.001 16.97 <0.001 16.93 1.0 0.02
8 SNS Gambia <0.001 14.69 <0.001 14.70 1.0 0
12 SNS Gambia <0.001 16.95 <0.001 17.65 1.0 0.49
18 SNS Gambia <0.001 15.10 <0.001 15.09 1.0 <0.01
24 SNS Gambia <0.001 13.38 <0.001 13.38 1.0 0
5 HaND UK <0.001 9.40 <0.001 9.40 1.0 <0.01
8 HaND UK <0.001 12.90 <0.001 12.90 1.0 <0.01
12 HaND UK <0.001 8.70 <0.001 8.56 1.0 0.10
18 HaND UK <0.001 10.92 <0.001 10.92 1.0 <0.01
24 HaND UK 0.012 4.68 0.012 4.68 1.0 0
5 SNS UK <0.001 6.93 <0.001 7.80 1.0 0.62
8 SNS UK <0.001 7.18 <0.001 7.28 1.0 0.07
12 SNS UK 0.924 3.23 0.288 3.87 1.0 0.45
18 SNS UK 1.0 2.84 1.0 2.84 1.0 0
24 SNS UK 1.0 0.76 1.0 0.76 1.0 <0.01
Methods
are: CV, QT -NIRS using the sci_threshold parameter only, and QT -NIRS using 464
both the sci_threshold and psp_threshold parameters. Significance values calculated 465
during bootstrapping and reported after correction. Effect sizes rounded to 2d.p. 466
3.1.2 Pruning using SCI Only compared with both parameters 467
No significant statistical differences were found between TRC SNR values when 468
pruning using SCI only and Full QT-NIRS approaches. In every case, however, the 469
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mean TRC SNR across participants was higher when using both parameters than 470
when using sci_threshold alone. 471
A representative comparison of the three different pruning methods is given 472
in Figure 3, with higher average TRC SNR values obtained using both QT -NIRS 473
approaches when compared to CV pruning. A higher mean TRC SNR is obtained using 474
both parameters when pruning with Full QT -NIRS compared to using SCI Only, but 475
with a more erratic distribution of values. 476
3.2 Predictors of TRC SNR and Channels Retained 477
The focus here is primarily on reporting results for the outcomes of interest and fixed 478
effects with wider generalisability but full results are included in Figure 4. Effect sizes 479
were classified as small, medium or large if the absolute value of the Estimate was < 480
0.15, < 0.35, or ≥ 0.35, respectively, using Cohen’s 𝑓" thresholds (Cohen, 2013, 481
chap.9). 482
3.2.1 Predictors for TRC SNR 483
Both SCI Threshold (𝛽 = 0.0107, 95% CI [0.0084, 0.0131], 𝑆𝐸 = 0.0012) and PSP 484
Threshold (𝛽 = 0.0530, 95% CI [0.0505, 0.0556], 𝑆𝐸 = 0.0013) had small, positive 485
effects representing an increase in signal quality for higher threshold values. The 486
interaction effect between PSP Threshold and SCI Threshold had a small, negative 487
effect (𝛽 = −0.0019, 95% CI [−0.0037, −0.0001], 𝑆𝐸 = 0.0009). 488
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489
Figure 4: Forest plots showing the results for the effect of each fixed effect in
Equation 2 on TRC SNR and Channels Retained, obtained via bootstrapping scaled
values.
Top: Forest plot showing the type and relative effect size of each fixed effect on TRC SNR.
Bottom: Forest plot showing the type and relative effect size of each fixed effect on
Channels Retained.
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PoM had the largest impact on TRC SNR, with a large negative effect (𝛽 =490
−0.5004, 95% CI [−0.5028, −0.4979], 𝑆𝐸 = 0.0012) corresponding to a decrease in 491
signal quality in data with more frequent incidences of motion. This decrease in signal 492
quality with motion was offset slightly as participants aged, driven mostly by a more 493
moderate decrease in the 18mo data, illustrated by a small negative interaction effect 494
between and PoM (𝛽 = −0.0485, 95% CI [−0.0506, −0.4062], 𝑆𝐸 = 0.0011). Small 495
interaction effects between PoM and both SCI Threshold ( 𝛽 = 0.0027, 95% CI 496
[0.0008, 0.0047], 𝑆𝐸 = 0.0010) and PSP Threshold ( 𝛽 = 0.0253, 95% CI 497
[0.0234, 0.0272], 𝑆𝐸 = 0.0010) exhibited trends which saw high threshold values 498
mitigate the detrimental effect on TRC SNR; the slightly larger main (PSP) and 499
interaction (PSP:PoM) effect in the case of PSP Threshold led to greater mitigation of 500
the TRC SNR decline due to PoM than in the case of SCI (see Figure 5a). 501
The small, negative effect of Cohort ( 𝛽 = −0.8783, 95% CI 502
[−0.8832, −0.8733], 𝑆𝐸 = 0.0025) is notable since this fixed effect had larger effects 503
on other outcomes, including Channels Retained. The non-significant effect of PSP:Age 504
(Figure 6b) is notable given the size of the dataset and rarity of non-significant 505
predictors throughout this work. 506
Figure 5: The relationship between motion, and data quality and retention.
Blue, italicised axes values represent the approximate original values before scaling during
analysis. (a) Predicted TRC SNR trend by Percentage of Motion, grouped by PSP Threshold.
(b) Predicted Channels Retained trend by Percentage of Motion, grouped by PSP Threshold.
(c) Predicted TRC SNR trend by Percentage of Motion, grouped by Age. (d) Predicted
Channels Retained trend by Percentage of Motion, grouped by Age.
28
24
20
0%
4%
8%
12%
70
60
50
40
30
20
0%
4%
8%
12%
30
25
20
15
0.0%
2.5%
5.0%
7.5%
10.0%
12.5%
65
60
55
50
45
40
0.0%
2.5%
5.0%
7.5%
10.0%
12.5%
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18 507
(a) The interaction between and SCI Threshold, showing the
mitigating impact of high SCI values for younger participants. (b) The
interaction between and PSP Threshold, in which a pattern with age
is harder to ascertain.
Figure 6: Effect of the interaction between QT-NIRS thresholds
and age on channel retention.
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3.2.2 Predictors for Channels Retained 508
Both SCI Threshold (𝛽 = −0.1381, 95% CI [−0.1401, −0.1361], 𝑆𝐸 = 0.0010) and 509
PSP Threshold ( 𝛽 = −0.4067, 95% CI [−0.4087, −0.4048], 𝑆𝐸 = 0.0009) had small 510
and large negative effects on Channels Retained, respectively (see Figure 7). This 511
indicates an increase in the number of channels pruned when using higher threshold 512
values, particularly for the PSP Threshold. The interaction effect between SCI 513
Threshold and PSP Threshold was small and negative ( 𝛽 = −0.8783, 95% CI 514
[−0.8832, −0.8733], 𝑆𝐸 = 0.0025), with each threshold alleviating the negative effect 515
of the other at high parameter values. 516
PoM had a significant, medium negative impact ( 𝛽 = −0.2013, 95% CI 517
[−0.2030, −0.1995], 𝑆𝐸 = 0.0009), with higher amounts of motion associated with 518
decreased channel retention. At the two oldest ages (i.e. 18- and 24mo), greater 519
proportions of motion in the data had a less drastic negative impact on the number of 520
channels pruned (see Figure 5d) which was captured by the small positive interaction 521
effect Age:PoM (𝛽 = 0.0610, 95% CI [0.0593, 0.6264], 𝑆𝐸 = 0.0009). As with TRC 522
SNR, interaction effects of PoM with both SCI Threshold ( 𝛽 = −0.0034, 95% CI 523
[−0.0050, −0.0019], 𝑆𝐸 = 0.0008) and PSP Threshold ( 𝛽 = −0.1962, 95% CI 524
[−0.1977, −0.1945], 𝑆𝐸 = 0.0008) moderated this channel reduction for higher 525
percentages of motion. Though both interactions were significant, PSP:PoM was of 526
medium effect size and also acted on two (negative) medium main effects, leading to 527
a near negation of the detrimental impact of motion on predicted Channels Retained 528
for low PSP Threshold values (see Figure 5b). 529
Task (𝛽 = −0.2038, 95% CI [−0.2069, −0.2007], 𝑆𝐸 = 0.0015) and Cohort 530
(𝛽 = −0.8783, 95% CI [−0.8832, −0.8733], 𝑆𝐸 = 0.0025) had medium and large 531
effects on Channels Retained, respectively, resulting in lower channel retention for 532
the SNS task and UK cohort. 533
534
535
536
537
538
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539
(a) The interaction between thresholds acting on TRC SNR, showing an inconsistent,
slight decrease in TRC SNR when compared to the overall trend for high SCI- and PSP
Threshold values. (b) The interaction between thresholds acting on Channel
Retained, showing a more consistent trend across threshold levels and the dampening
of the reduction in channels when both SCI- and PSP Threshold values are high.
Figure 7: The effect of the interaction between SCI Threshold and PSP Threshold
on signal quality and retention.
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4 Discussion 540
Channel pruning in infant fNIRS research is a crucial step in data -analysis, yet often 541
performed with subjective parameters or adult derived threshold s. Moreover, 542
approaches to channel pruning, including QT-NIRS and CV pruning, in infant fNIRS 543
data have often relied on adult -derived thresholds or single -domain measures, 544
without systematic evaluation of their suitability for infant data. The work described 545
here took a quantitative approach to directly compare pruning strategies and 546
parameter settings for infant sparse array data. It was found that QT-NIRS, in its 547
consideration of both time- and frequency-domain signal quality measures, achieved 548
a better balance of data quality and retention than CV pruning . Additionally, 549
parameter values for QT-NIRS were investigated alongside contextual factors, with 550
lower values than those used for adults likely being preferable. These findings 551
supplement work in the wider literature aimed at improving infant NIR imaging data 552
pipelines more broadly [6], [37], [44]. 553
4.1 QT-NIRS as a channel pruning method 554
QT-NIRS produced infant fNIRS data of significantly greater SNR than pruning in all 555
but one age/task/cohort-specific comparison (SNS task in UK infants at 24mo), whilst 556
controlling for data retention. Higher signal quality remained statistically significant 557
when channels were pruned using SCI only, suggesting that evaluating the signal 558
using a method which accounts for a temporal data characteristic (correlation) is 559
more effective than assessment using time -independent measures. It may also 560
indicate that evaluation of the signal in subsampled windows provides a more 561
accurate reflection of signal quality than holistic signal assessment, as was the case 562
with CV pruning. This difference in signal quality, even without using PSP is observed 563
despite evidence suggesting that SCI may be biased by latent, undetected motion in 564
the signal in at least some participants (see Effects of Motion). 565
Using both SCI- and PSP thresholds further improved signal quality, resulting 566
in higher mean TRC SNR values in all cases. Though non -significant, the higher TRC 567
SNR values reinforce the advantage of incorporating both frequency - and time-568
domain metrics and provide further justification for the use of QT-NIRS when channel 569
pruning of infant fNIRS data. 570
4.2 Effects of QT-NIRS parameter choice 571
Higher SCI- and PSP thresholds reduced data retention by pruning more channels, but 572
improved signal quality in TRCs. The effect of parameter changes was smaller than 573
anticipated, particularly on signal quality. PSP Threshold had more influence than SCI 574
Threshold on both outcomes but particularly on Channels Retained, illustrating that 575
caution is needed when altering this threshold to avoid unnecessary data loss. 576
A positive SCI:PSP interaction reduced the channel pruning rate relative to 577
that expected when considering both thresholds in isolation (see Figure 7b), 578
suggesting that the potential cost to data retention from increasing one threshold 579
value is mitigated when the other value is also high. This aligns with the use of 580
complementary signal metrics in QT-NIRS which must both be of sufficient quality to 581
retain channels: each threshold will exclude channels which may be included by the 582
other, with the overlap in excluded channels increasing with parameter values. 583
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The slight negative SCI:PSP interaction effect on TRC SNR may be driven by the 584
highest values for both parameters (Figure 7a). Higher thresholds increased the 585
likelihood of pruning channels with neuronally -evoked cortical haemodynamic 586
responses and, consequently, high SNR; their removal is likely to reduce the mean TRC 587
SNR more than would be expected for lower threshold values. Change in TRC SNR is 588
also less uniform across SCI - and PSP Threshold values than for Channels Retained. 589
Unlike channel retention, which reflects the whole array, TRC SNR is localized to 590
select channels. Single channels will therefore likely contribute a much greater 591
proportional value to the average TRC SNR and the consequence of pruning these 592
channels is likely to have a larger relative impact on the TRC SNR. Additionally, 593
pruning a channel consistently reduces Channels Retained whereas its impact on TRC 594
SNR depends on the pruned channel’s SNR, further contributing to the inconsistency 595
in change. 596
4.3 Effects of Motion 597
Substantial negative effects of PoM on both signal quality and channel retention 598
suggest that motion reduces signal quality in at least some channels even when 599
artefacts are not considered in the pruning analysis process, as was the case in this 600
work. Motion artefacts may cause optodes to move, dislodge, or uncouple completely, 601
causing a poorer quality signal reflected in decreased TRC SNR. In turn, channels 602
affected by motion may be pruned to a greater extent during QT-NIRS processing, 603
leading to lower Channels Retained values. 604
Interaction effects show PSP Threshold had the greater impact on motion-605
affected data of the two thresholds, improving signal quality but reducing channel 606
retention, especially at high threshold values. In contrast, a comparatively modest 607
effect of SCI Threshold on signal quality and retention was found. Motion exhibited a 608
significant adverse effect on Average PSP, likely due to optode displacement severe 609
enough to disrupt coupling, and a positive effect of motion incidences on Average SCI, 610
suggesting that SCI measures may be capturing correlation induced by latent, 611
undetected motion artefacts in the data. Future work may examine the effect of 612
different motion detection parameters, or alternative motion correction methods 613
altogether such as the Sobel filter [45], acceptance rate adaptive algorithm [46], global 614
variance of temporal derivatives [47], [48] or entropy-based methods [49]. 615
The potential (interaction) effect of high PSP Threshold values on channel 616
retention, especially for channels with a greater proportion of motion, warrants 617
caution for users when looking to employ high PSP Threshold values. This is 618
particularly true given the relatively small beneficial impact on signal quality of 619
increasing the PSP threshold, indicated by its main effect on TRC SNR. This is 620
consistent with the argument for using lower values discussed in the 621
Recommendations section of the Discussion. Conversely, motion incidences have the 622
largest negative impact on TRC SNR; low PSP thresholds may exacerbate this effect if 623
motion is not appropriately addressed. 624
4.4 Effects of age 625
Age had small effects on TRC SNR and Channels Retained, suggesting limited changes 626
in signal quality and retention in infants between the age of 5 and 24 mo. Reflecting 627
this, associated trends were less commonly observed with age than for other 628
predictors; however, it was notable that channel loss was less severe when increasing 629
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23
the SCI Threshold in younger participants (Figure 6). Additionally, while higher signal 630
PoM is associated with reduced channel retention, older infants retained more 631
channels than younger ones for data with high motion prevalence ( Figure 5d). This 632
may be due to younger infants manually touching or grabbing the cap more, causing 633
more severe artefacts that permanently displace optodes and affect subsequent 634
coupling, an assertion supported by post-hoc data examination which suggested a 635
decrease in motion severity with age (see Supplementary Materials, Figure S 7) 636
Interactions with age for TRC SNR showed no meaningful patterns. This may 637
reflect a lack of consistent changes within the age range sampled here. It may also 638
reflect the multifaceted mix of concepts which ‘age’ represents: the interplay of the 639
physiological and behavioural changes with age may be too complex for a simple fixed 640
effect to capture. Interactions between age and other model terms (e.g. CSE, CL) 641
caused convergence issues and were omitted. Future research may priorit ize 642
investigating age-related change and associated factors affecting signal quality – such 643
as hair characteristics [23], hair style [31], or hair type changes with age [50]. 644
4.5 Other predictors 645
4.5.1 Cohort 646
Cohort had substantial effects on signal quality and retention, likely due to factors 647
such as testing environment, tester experience, parent and infant behaviours, and 648
sample size. Since cohort was not a primary predictor, its main effect was not 649
investigated in depth and interaction terms were not included. Nevertheless, data 650
from the Gambian cohort – whose skin and hair characteristics have been found to 651
pose challenges for fNIRS signal quality [23] – exhibited better signal quality and 652
retention, to the extent that data exclusion was far lower for Gambian infants in 653
general and almost non-existent at the infant level (see Figure 2). There may be 654
several reasons for this. Firstly, UK infants generally had finer hair which was longer 655
at later assessment ages, possibly causing cap slippage and poorer subsequent signal 656
quality, as these values appear to decrease with age. Lower motion incidence in 657
Gambian infants may also play a role, possibly due to a relative lack of familiarity with 658
digital screens in daily life leading to an increased focus on a novel, unfamiliar object. 659
While physical characteristics of participants undoubtedly affect the fNIRS signal, 660
cohort differences in this study emphas ize the need to consider other factors which 661
affect signal quality during data collection. 662
4.5.2 Weak or saturated channel signals 663
A small and significant negative effect of CSE on channel retention was anticipated, 664
considering it is itself a measure of channel removal. CSE was also significantly 665
negatively associated with data quality, however, suggesting poor coupling in 666
channels with extremely low quality signal could be affected by – or causing – signal 667
quality issues elsewhere in the array. It may be of interest to investigate whether 668
signal quality was worse in channels located closely to the CSE channels in future 669
work, as has been the focus of prior work into motion artefact detection [49]. 670
4.6 Strengths and limitations 671
A key strength of this work is the dataset used. Data encompassed five testing time 672
points across the age range 5- to 24mo, allowing assessment of QT -NIRS and its key 673
parameters for infants whilst accounting for age -related structural changes in skull 674
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24
thickness, cardiac signal properties, and surface vasculature [51]. Data from two sites 675
were also assessed, one of which was a rural setting in a sub-Saharan African country, 676
addressing a common bias which often exists in infant neuroimaging studies when 677
participant recruitment is limited to predominantly White infants from high -income 678
contexts [52]. As such, the findings are likely to be more robust and generalisable than 679
those derived from smaller or single-site samples. The inclusion of longitudinal data 680
allows for the assessment of within- and between-participant changes over time, 681
providing richer insights into the effect of processing methods than would be possible 682
from cross-sectional analyses alone. 683
Another strength is the MLM approach which accounted for the hierarchical 684
variance structure of longitudinal data grouped by task and cohort, reducing bias and 685
enabling random intercepts and slopes during regression analysis to capture 686
individual differences [39]. This approach also handled missing data introduced 687
through prior channel removal (CSE channels), missed visits or incomplete testing, 688
which would not have been possible with many other common analysis procedures 689
[53]. Domain knowledge and data -driven insight were combined to priorit ize model 690
predictors and validate model assumptions and additionally fitted and assessed 691
subsidiary MLMs to ensure the final model (Equation 2) was as comprehensive as 692
possible. 693
QT-NIRS was compared with CV pruning, using a maximum wavelength CV 694
difference of 0.2, as previously applied with data from this study [14]. Significant 695
differences in signal quality between QT -NIRS and CV pruning were found in all but 696
one age/task/cohort combination. However, another common CV pruning approach 697
uses a single-channel threshold instead, pruning both channel wavelength signals at 698
least one of them exceeds it [12], [32], [54] . Future work could investigate whether 699
the significant differences found here persist when using this alternative thresholding 700
method. 701
The focus of this work was on optimizing thresholds of the two QT-NIRS 702
parameters which are most pivotal to performance, for which only reported 703
recommended values for adult participants were found in the literature. Future work 704
may focus on other parameters, such as changing the quality threshold (q_threshold), 705
balancing channel quality discernment with the risk of losing nuance in signal 706
characteristics. Future studies could also investigate the impact of altering window 707
size or overlap: the former will likely balance measurement accuracy within windows 708
against overall temporal sensitivity; the latter may provide more window temporal 709
sensitivity at the expense of computational efficiency. Given the dominance of PSP 710
Threshold change on outcomes reported here, it may also be of interest to explore 711
pruning using only the PSP threshold [55]. 712
This work must also be placed in the context of the increasing impact of 713
machine learning on infant NIR imaging data processing, with future work in the field 714
likely to assess the efficacy and generalisability of such methods. Deep learning 715
approaches are frequently being added to the literature: a machine learning based 716
detector has been developed to identify ‘bad’ channels to be pruned, for example [55]. 717
This approach was shown to be more adaptive, interpretable, and effective across 718
diverse noise types than QT-NIRS and other methods, so future work may seek to 719
assess the efficacy of this independently. In mitigation, care should be taken to ensure 720
Limitations
common to many deep learning approaches (e.g. overfitting) are 721
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25
addressed through appropriate validation strategies, including the use of 722
independent test sets and cross-validation. 723
Model design was limited by convergence issues, particularly when including 724
random slopes and intercepts. The most likely and important sources of variation 725
were prioritized, however it was not possible to fully include all relevant interaction 726
terms or random effects. Additionally, linear terms were used in the models to 727
simplify interpretability. Future work may incorporate non -linear terms, as an 728
alternative to the bootstrapping approach for dealing with non-normal residuals. 729
Other alternative approaches could include sensitivity analysis of the influential 730
points and outliers; variance modelling for specific predictors; and utilisation of 731
robust standard errors. 732
While age is likely to reflect more than behaviour and motion, the longitudinal 733
study design may also result in participant familiarity with the testing procedures and 734
the paradigms, in turn possibly affecting behaviour, attention, stress levels, 735
engagement, and – consequently – the recorded data. Thus, caution should be taken 736
when examining the effects of the age model term and its interactions, recognising 737
this as a potential confounding factor in this work. 738
Further evaluation of QT-NIRS as a channel pruning method for infant fNIRS 739
data is still necessary to address the limitations of this work, extend it to high-density 740
systems, and compare it to alternative approaches including those incorporating 741
machine learning [55]. 742
4.7 Recommendations 743
Based on this work, the following guidelines for channel pruning infant fNIRS data are 744
recommended: 745
(1) QT-NIRS as a pruning method is preferable to pruning using CV (when using a 746
minimum threshold difference between wavelengths) 747
(2) Users should conduct channel pruning on motion-free data, with considerable 748
emphasis during initial preprocessing placed on adequately identifying motion 749
artefacts 750
(3) Tuning of the PSP Threshold should be priorit ized over the SCI threshold in 751
data 752
(4) To provide a good trade -off between data quality and retention, lower 753
thresholds (with minima of psp_threshold ≈ 0.04–0.05 and sci_threshold ≈ 0.6) 754
can be used for infant data than th ose recommended for adults, especially in 755
older infants with fine/slippery hair, since (amongst other factors): 756
(i) There are a large proportion of data showing SCI- and PSP values lower 757
than the adult thresholds of 0.8 and 0.1, respectively (Figure 2) 758
(ii) The risk of removing data with higher thresholds is likely greater than 759
the potential gain in improved signal quality 760
(iii) There is a plateau in both average TRC SNR and Channels Retained 761
values when using lower threshold values than the advised minima (see 762
Supplementary Materials, Figure S 6) 763
A pictorial guide to the effect of the most common predictors on data quality and 764
retention is also included in Figure 8. 765
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26
It is still strongly recommended that fNIRS users take the appropriate time to 766
understand the dataset being analysed since no approach can possibly be universal. 767
To aid final parameter selection, a tool which other users may find useful to guide 768
parameter selection was developed . Alongside code used during processing and 769
analysis reported in this study can be found at: https://github.com/sam-770
beaton/pruningComparisons/. The tool is designed to examine the effects of 771
parameter threshold changes within a group (e.g. age), by establishing a trend 772
capturing the trade-off between data quality and retention, then assessing which 773
specific SCI- and PSP Threshold parameter combinations perform best in relation to 774
this trend. 775
5 Conclusion 776
Recent advances in fNIRS channel pruning approaches show promise for improving 777
the accuracy of preprocessing by evaluating both the time and frequency domains. 778
The work described here compared QT-NIRS with an established pruning method 779
utilising CV, across 5 infant ages, two paradigms, and two sites. It was found that QT-780
NIRS provides data with greater signal quality when controlling for data retention. 781
Figure 8: Guide to the effects of the parameters and data characteristics on data
quality and retention.
First five rows represent positive (green) or negative(red) associations with increasing
numerical parameters (SCI Threshold and PSP Threshold) or data characteristics (Age,
PoM, CSE). All positive effects are small in size. Bottom two rows represent categ orical
variables, with greyscale shading indicative of the impact on outcome changing the
categorical variable may have.
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27
The consequences of different parameter choices for QT -NIRS were also 782
demonstrated, highlighting the importance of the PSP Threshold, plus the influence of 783
motion. Evidence-based recommendations for QT -NIRS pruning, and parameter 784
choice for infant data with different characteristics, are provided. 785
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28
Disclosures 786
The authors have no conflict of interest to declare. 787
788
Code and Data Availability 789
All data used in the analyses presented can be made available following relevant 790
approvals. The code used to conduct the analyses and generate the figures presented 791
in this paper are available at https://github.com/sam-beaton/pruningComparisons. 792
Code relies on the following open source R libraries: arules [56], broom [57], car [58], 793
data [59], doParallel [60], dplyr [61], effectsize [62], effects [58], e1071 [63], foreach 794
[64], ggplot2 [65], ggpubr [66], gridExtra [67], lme4 [41], lmerTest [68], MASS [69], 795
matrix [70], MuMIn [71], Scales [72], tidyr [73], viridis [74]. 796
797
Acknowledgments 798
We would like to place on record our thanks to the children, mothers and wider 799
families who took part in this study. In addition, we would like to thank the data 800
collection teams in both The Gambia and the UK . Finally, we thank Luca Pollonini for 801
his contribution to early discussions concerning the framing of the work, and Johann 802
Benerradi, for providing task-relevant channels for the social/non-social task prior to 803
their publication. 804
805
Funding 806
Sam Beaton, Ebrima Mbye, Samantha McCann (to July 2024) and Sophie Moore are 807
supported by a Wellcome Trust Senior Research Fellowship (220225/Z/20/Z) held 808
by Sophie Moore. The BRIGHT Study was funded by the Gates Foundation 809
(OPP1127625) and core funding MC -A760-5QX00 to the International Nutrition 810
Group by the Medical Research Council UK and the UK Department for International 811
Development (DfID) under the MRC/DfID Concordat agreement. Further support was 812
provided through a UKRI Future Leaders Fellowship (MR/S018425/1) held by Sarah 813
Lloyd-Fox. Borja Blanco was supported by a Medical Research Council Programme 814
Grant (MR/T003057/1) and a UKRI Future Leaders fellowship (MR/S018425/1). 815
816
Author Contributions (CRediT taxonomy) 817
SB: conceptualisation, formal analysis, methodology, software, validation, 818
visualisation, writing – original draft, writing – review and editing; BB: 819
conceptualisation, methodology, supervision, writing – review and editing; CB: 820
conceptualisation, methodology, writing – review and editing; CE: funding 821
acquisition, project administration, resources, writing – review and editing; SLF: 822
funding acquisition, project administration, resources, writing – review and editing; 823
EM: data curation, investigation, project administration; SMc: data curation, 824
investigation, project administration, supervision; ABR: conceptualisation, data 825
curation, supervision, visualisation, writing – review and editing; SM: funding 826
acquisition, project administration, resources, supervision, writing – review and 827
editing. 828
829
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29
Biographies 830
Samuel Beaton is a doctoral researcher and research assistant at King’s College 831
London, developing analytical pipelines for functional near-infrared spectroscopy 832
(fNIRS) and high-density diffuse optical tomography (HD-DOT) data. 833
Chiara Bulgarelli is a Senior Lecturer at the Centre for Brain and Cognitive 834
Development at Birkbeck, University of London. She has over a decade of experience 835
using fNIRS with infants and toddlers to study the neural mechanisms underlying 836
social interactions and the development of brain connectivity. Recently, she 837
pioneered the use of fNIRS in non-traditional lab settings, such as with toddlers 838
interacting in a virtual reality environment. 839
Borja Blanco is a postdoctoral research associate in the Department of Psychology at 840
the University of Cambridge. His work focuses on developing data processing and 841
analysis methods for optical neuroimaging in developmental populations. He applies 842
these methods to investigate infant functional brain development and the contextual 843
factors that influence it. 844
Clare Elwell is a professor of medical physics leading projects to investigate brain 845
function using functional near infrared spectroscopy in high and low resource 846
settings in adult and infants. 847
Sarah Lloyd-Fox is a Principal Research Associate in the Department of Psychology, 848
University of Cambridge. She leads several multi-disciplinary projects focusing on 849
developmental trajectories of early cognitive and brain development during 850
pregnancy, infancy and early childhood. Her research focuses on understanding how 851
family and environmental context - i.e. contextual factors such as poverty associated 852
challenges and enriched multigenerational family support - shape early life. 853
Ebrima Mbye is a Field Coordinator at MRCG@LSHTM, formerly employed on the 854
BRIGHT Project and currently engaged on the INDiGO Trial working under Professor 855
Sophie Moore. 856
Samantha McCann is a Public Health Registrar and formerly Postdoctoral Research 857
Associate in the Department of Women and Children’s Health at King’s College 858
London. Her main research interest is supporting early child development, with a 859
strong focus on the impact of undernutrition in infancy on long -term 860
neurodevelopmental outcomes. 861
Anna Blasi is a Postdoctoral Research Fellow at UCL. Her research interests are 862
centered on functional aspects of human physiology. Her research career started with 863
models of the cardiovascular system and the effects of disease. Through her work at 864
UCL, KCL, and Birkbeck, her research interests have shifted toward the use of 865
functional imaging (fNIRS, fMRI) to study brain function and neurocognitive 866
development in early infancy. 867
Sophie Moore is Professor of Global Women and Children's Health in the Department 868
of Women & Children's Health at King’s College London and an Honorary Associate 869
Professor at the London School of Hygiene and Tropical Medicine (LSHTM). Her 870
research focuses on the nutritional regulation of ‘healthy’ fetal and infant growth, 871
incorporating infant immune and brain development as outcomes, and on the 872
mechanisms through which maternal, infant and childhood nutrition may influence 873
development and later health. 874
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30
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