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TECHNOLOGY AND CODE article

Front. Med. Eng. , 21 March 2025

Sec. Advanced Technologies for Medicine

Volume 3 - 2025 | https://doi.org/10.3389/fmede.2025.1547895

In Vivo quantification of 4D modeling and remodeling in trabecular and cortical bone microstructure

  • Bone Bioengineering Lab, Department of Biomedical Engineering, Columbia University, New York, NY, United States

Bone is constantly adapting each of its microstructural compartments by modeling and remodeling. These adaptations are delineated by whether bone formation and resorption are coupled in space and time. Time-lapse microCT imaging has become a valuable technique for characterizing bone dynamics in 3D. Our previous study used longitudinal microCT imaging to quantify modeling and remodeling across the bone microstructure in response to PTH treatment and mechanical loading. Here, we detail our technique of voxel-tracking to specifically identify time-dependent modeling and remodeling by examining the sequence of formation and resorption events in trabecular and cortical bone. We apply this technique to WT and SOST KO littermate mice under long-term mechanical loading and quantify site-specific bone volume changes. Loading particularly affected WT trabecular and periosteal bone by increasing anabolic modeling and remodeling while decreasing catabolic modeling. Under load-controlled loading, these effects were reduced in SOST KO mice. Endosteal bone was less responsive to loading for both genotypes, with subtler and more time-dependent responses resulting in a load-dependent increase in WT catabolic modeling. Thus, we present a technique that directly assesses longitudinal 3D bone modeling and remodeling across the bone microstructure.

1 Introduction

Bone is a dynamic organ that constantly adapts to fulfill its mechanical and metabolic functions (Raisz, 1999; Wolff, 1893; Fukumoto and Martin, 2009). The cellular activity of osteoblasts for bone formation and osteoclasts for bone resorption are coordinated for healthy bone modeling and remodeling (Rodan, 1992; Bonewald, 2011). In metabolic bone diseases like osteoporosis, there is an imbalance between formation and resorption dynamics (Greenblatt et al., 2017; Feng and McDonald, 2011), resulting in a systemic degradation of bone mass, architecture, and strength, increasing one’s risk for fragility fractures (Rachner et al., 2011; Wood et al., 1992). It has been estimated that globally, fractures affect 1 in 2 women and 1 in 5 men over the age of 50, and the economic burden of fractures in US women may increase to over $95 billion by 2040 (Melton et al., 1998; Burge et al., 2007; Lewiecki et al., 2019).

The mechanisms by which bone modifies its structure can be separated into modeling and remodeling, depending on the sequence of bone formation and resorption events (Parfitt, 1984; Raggatt and Partridge, 2010). Remodeling is bone formation and resorption coupled in space and time, while the events are uncoupled in modeling (Hadjidakis and Androulakis, 2006; Seeman, 2009). Basic multicellular units (BMUs) carry out bone remodeling, where osteoclasts resorb bone and leave behind a scalloped surface, followed by a reversal phase, allowing osteoblasts to form bone at the previously resorbed bone locations (Hattner et al., 1965; Erben, 1996; Bolamperti et al., 2022). Regions of bone resorption and sites of modeling versus remodeling activity can be identified by examining the curvature of bone cement lines in 2D histology sections (Wang et al., 2021; Tkachenko et al., 2009). Bone formation is standardly analyzed by 2D dynamic histomorphometry by administering multiple fluorochromes that chelate to the calcium in mineralizing bone, separated by a time interval (van Gaalen et al., 2010; Dempster et al., 2013; Frost, 1969; Parfitt et al., 1987), while bone resorption is only measured indirectly (Courpron et al., 1980). Other challenges and technical difficulties with traditional bone histomorphometry include subjectivity in distinguishing smooth and scalloped bone cement lines, overlapping spectra from multiple fluorochrome labels, lack of labels with osteoporosis therapeutics, and the need for ex vivo processing and analysis of 2D samples (Recker et al., 2011; Pautke et al., 2005). Standard dynamic histomorphometry has also been applied in 3D (Slyfield et al., 2012), but there remains the potential for an improved technique to characterize the 3D bone dynamics.

The advancement of computed tomography (CT) imaging technologies has facilitated the direct evaluation of the in vivo 3D bone structure and application to preclinical animal models and human studies (Feldkamp et al., 1989; Kapadia et al., 1998; Laib and Ruegsegger, 1999; David et al., 2003). Using image registration, the application of CT imaging to accurately (Boyd et al., 2006)and longitudinally identify bone formation and resorption was first shown in the rat tibia (Waarsing et al., 2004). This technique was then developed to quantify bone formation and resorption dynamics in the mouse tail vertebral trabecular and cortical bone (Schulte et al., 2011; Lambers et al., 2011) and tibial cortical bone (Birkhold et al., 2014a). Due to continual growth plate activity in the rat tibia, a 2-step image registration scheme has been used to quantify in vivo trabecular bone formation and resorption (de Bakker et al., 2015; Altman et al., 2015; Lan et al., 2013). Studies on bone remodeling have typically been limited to formation and resorption, while few have specifically quantified remodeling as bone formation following bone resorption at a specific location. The use of time-lapse microCT to identify modeling and remodeling events by coupled bone resorption and formation events was detailed by Birkhold et al. in cortical bone (Birkhold et al., 2015). In a previous study, our group used a method of longitudinal in vivo microCT and image registration to specifically quantify bone modeling and remodeling in terms of independent formation (anabolic modeling), independent resorption (catabolic modeling), and formation coupled to resorption at the voxel-level (remodeling) in both trabecular and cortical bone microstructure (Robinson et al., 2021).

Although there is no cure for osteoporosis, several pharmaceutical treatments are available to improve bone strength, and their mechanism of action can be classified as either anti-catabolic or anabolic (Riggs and Parfitt, 2005). Bisphosphonates and denosumab are anti-catabolic drugs that primarily affect remodeling by reducing bone resorption and activating BMUs (Liberman et al., 1995; Chesnut et al., 2004; Reid et al., 2002; Harris et al., 1999; Cummings et al., 2009). Conversely, teriparatide/abaloparatide and romosozumab are anabolic drugs that mostly stimulate bone formation in remodeling (Neer et al., 2001; Leder et al., 2015; McClung et al., 2014). While these therapies target bone formation or resorption in remodeling, they also have coupled effects on other metabolic responses (Langdahl et al., 2016; Reid and Billington, 2022). Romosozumab, a humanized antibody against sclerostin (encoded by the SOST gene), is a treatment with time-dependent effects on trabecular and cortical bone (McClung et al., 2014; Cosman et al., 2016). Romosozumab has been shown to affect bone modeling and remodeling dynamics at the BMU level (Boyce et al., 2017; Chavassieux et al., 2019; Eriksen et al., 2024; Ominsky et al., 2017). However, the use of these therapies is limited, and guidelines suggest taking drug holidays or a drug transition for continual improvement in a patient’s bone strength (Reid and Billington, 2022; McClung et al., 2013; Nuti et al., 2019).

A promising noninvasive treatment option for osteoporosis is mechanical loading, or exercise, to improve bone strength and reduce fracture risk (Feskanich et al., 2002; Harding et al., 2020; Howe et al., 2011; Watson et al., 2018). Bone adapts to mechanical loading (Wolff, 1893), with a strain-dependent modeling and remodeling response described by the mechanostat hypothesis (Frost, 1983; Frost, 2003; Frost, 1987). The mouse tibia loading model has become widely used to study bone mechanoadaptation (Main et al., 2020; Melville et al., 2015; Gross et al., 2002; Turner et al., 1991). However, most analyses only measure bone adaptations in terms of formation and resorption, and do not quantify whether these changes are coupled together. Given the limitations of current treatments, it is critical to distinguish bone modeling and remodeling across the bone microstructure and their dynamics over time (Foessl et al., 2023; Dent et al., 2023; Hoffmann et al., 2023; Schumm et al., 2023). Here, we describe a method for directly quantifying in vivo 3D modeling and remodeling over time in trabecular and cortical bone compartments and apply it to investigate the effects of SOST depletion and mechanical loading.

2 Materials and methods

2.1 Animals

SOST KO mice on the C57Bl/6 background were donated by Dr. Alexander Robling (Indiana University). Wildtype C57Bl/6 (WT) mice were purchased from The Jackson Laboratory (Strain No. 000664). Heterozygous breeding pairs were established to produce WT and SOST KO littermate mice. Genotypes were confirmed via qPCR using the primers for WT mice (forward primer, 5′-TTG​TGC​ACG​CTG​CCT​TCT​G-3’; reverse primer, 5′-CTC​CAA​GCC​CTG​GGA​TGA​C-3′) and SOST KO mice (forward primer, 5′GTG​AGG​AAA​CAT​GGG​ACC​AG-3’; reverse primer, 5′-AGT​TGC​TGG​CTT​GGT​CTG​TC-3′). Animals had access to standard rodent chow and drinking water ad libitum. No animals were singly housed. All experiments were performed under a protocol approved by the Columbia Institutional Animal Care and Use Committee.

2.2 In vivo tibial loading

Mechanical loading was applied to 16-week-old mice 5 consecutive days per week for 5 weeks, as previously described (Robinson et al., 2021). The right tibia of each animal was unilaterally loaded by axial tibial compression, with the left tibia as the internal, nonloaded control. The knee joint and foot of the loaded tibia were fit into a hemispherical cavity and a custom 3D-printed angled plate, respectively (Figure 1A), under isoflurane anesthesia at 1.5%–2.5% v/v in oxygen delivered at 1.5–1.0 L/min. A standard load frame with a linear actuator and control system (Bose ElectroForce, TA Instruments) was used to apply a preload of 1 N compression for 4 min, followed by a haversine waveform between 1 N and 9 N compression for 100 cycles at 2 Hz. After loading, mice were allowed to recover in a private cage on a heating pad and were monitored for normal gait and behavior before being returned to their standard housing.

Figure 1
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Figure 1. Experimental design. (A) Schematic of mouse tibia in mechanical loader. Used and adapted from Robinson (2020) with permission. (B) Experimental timeline. (C) Radiograph of a microCT scout view with the white dashed lines around the scanned VOI. (D) Representative 3D segmentation of the scanned region with the trabecular and cortical VOIs in highlighted in yellow.

2.3 In vivo MicroCT

To quantify modeling and remodeling from the onset of mechanical loading, it was necessary to begin in vivo microCT imaging (Scanco vivaCT 80, Scanco Medical AG) of the tibia 2 weeks before the start of mechanical loading with weekly follow-up imaging (Figure 1B), which follows our previous work (Robinson et al., 2021). Scanning parameters were 55 kVp energy (X-ray tube potential, peak voltage), 145 µA intensity (X-ray tube current), 300 ms integration time (for each tomographic projection), and no frame averaging, using a 0.5 mm Al filter. Projections over 180° were set to 1,000 and images were reconstructed at 5 µm isotropic voxel size. Each tibia scan included a 3.84 mm region in length, starting from the proximal growth plate and extending distally, consisting of one full cone beam stack of 768 slices, resulting in a scan time of 13.3 min (Figure 1C).

For each mouse, both tibiae were scanned in succession while under nose cone isoflurane anesthesia at 1.5%–2.5% v/v in oxygen delivered at 1.5–1.0 L/min. Using a fixture provided by the manufacturer, each mouse was placed in the lateral position, and the contralateral lower limb was fit through the fixture and further secured with tape and gauze over the foot, ankle, and tibia to prevent possible motion artifacts. After scanning the right tibia, the mouse was turned over, replacing the tape and gauze, to scan the left tibia. Like after mechanical loading, each mouse recovered from scanning in a private cage on a heating pad before returning to standard housing.

2.4 Regions of interest

In each weekly scan, a 1.0 mm region in length of trabecular and cortical bone was extracted, beginning 0.15 mm and 2.0 mm distal to the proximal metaphyseal growth plate, respectively (Figure 1D). An additional 0.2 mm region in length was included at the proximal and distal ends of the trabecular and cortical bone regions to ensure that after alignment of all microCT images by image registration, a full 1.0 mm region in length could be analyzed each week.

2.5 Image registration

Image registration and analysis follow our previous work (Robinson et al., 2021). Full-resolution 16-bit grayscale images of extracted trabecular and cortical bone regions were registered and transformed to a common 3D position using Scanco Image Processing Language (IPL V5.16/regis V1.06) algorithms on an HP OpenVMS Industry Standard 64 Operating System, V8.4 (Figure 2A). To minimize bias from interpolation of voxel values during image transformation, the first pair of weekly microCT images were transformed to their midpoint so that every weekly image is transformed (de Bakker et al., 2015). To do so, the transformation matrix T was determined from the first set of images, and a custom MATLAB script was used to calculate T1/2 which was applied to the first set’s follow-up image. The remaining microCT images were then transformed to this position in the same global coordinate system by registering consecutive pairs of weekly images, resulting in every image being subject to similar interpolation effects of image transformation.

Figure 2
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Figure 2. Image registration scheme and voxel labeling. (A) Each of the weekly microCT images (gray) are transformed to a common 3D position (yellow) by image registration of paired images from consecutive weeks for trabecular and cortical bone. Representative figures shown are grayscale images, segmented for visualization. (B) Voxel-level events were labeled by formation (green), resorption (red), constant bone (gray), and background in weekly transition images generated by comparing consecutive pairs of weekly, registered trabecular or cortical bone.

Images were first aligned by center of mass, followed by 3D rigid registration using a downhill simplex method to maximize the normalized correlation coefficient. Registration of images was performed when downscaled to three levels (10, 4, 1) to avoid local maxima during registration. Two registration steps were used to align trabecular bone regions because the trabecular bone shifts distally over time due to the continually active growth plate in mice of this age (de Bakker et al., 2015; Robinson et al., 2021; Glatt et al., 2007; Jilka, 2013). First, a mask, including the whole bone (trabecular bone and cortical shell), was used to register the images, followed by a trabecular bone-specific mask (Supplementary Figure S1A). Registration of the cortical bone regions followed the same procedures but required only one step using a mask of the entire cortical bone (Supplementary Figure S1B). Each follow-up image was then overlaid on the reference image for visual inspection of accurate image registration.

2.6 In vivo quantification of (Re)modeling

After image registration, a Gaussian filter (sigma = 0.8, support = 1) was applied to both reference and follow-up images to reduce noise. Images were segmented by applying global threshold values of 360 and 400 per mille (%0), equal to 584.3 and 668.1 mgHa/cm3 or 3,864.7 and 4,404.9 Hounsfield units, for trabecular bone and cortical bone, respectively (Bouxsein et al., 2010; Luo et al., 2022). The reference image was then subtracted from the follow-up image to identify bone formed and bone resorbed, which were saved as separate images. To capture bone formation at its earliest stage, as osteoid is first secreted and then mineralized over time, voxels with values greater than 75% of the global threshold value after image subtraction were also classified as formed bone (Robinson et al., 2021). The resulting images of only bone formed and only bone resorbed were further filtered by removing clusters of less than 15 voxels, as they were considered likely to be noise (Christen et al., 2014). Masking algorithms were used to ensure that voxels classified as bone formed were labeled as bone in the follow-up image and as background in the reference image, and vice versa for voxels classified as bone resorbed. The segmented reference image was converted to a mask, inverted, saved as a mask, and then applied to the bone-formed image, ensuring that bone formation only occurred in regions with no bone previously. Similarly, a mask of the segmented reference image and an inverted mask of the segmented follow-up image were applied to the bone resorbed image, ensuring that bone resorption occurred only in the bone of the reference image and resulted in background in the follow-up image. The segmented reference and follow-up images were added together to identify voxels labeled as bone in both time points, resulting in a constant bone image. The constant bone image, formed bone image, and resorbed bone images were concatenated to generate weekly transition images with each voxel labeled with the bone event that occurred (Figure 2B). Background voxels were also labeled with a non-zero value so that after conversion of the image to a text file, the 3D coordinate information of each voxel was preserved.

Quantifying bone volume changes was done by tracking the events at the voxel-level over the experimental timeline. Once all the weekly transition images were generated (Figures 3A, B), they were cut with a mask so that each image was the same size and contained the same number of voxels. Weekly transition images were added together to generate a mask that includes voxels labelled in all images. The mask was then used to cut all weekly images to the same size. For cortical bone, a mask was drawn to divide endosteal and periosteal bone from the cut cortical bone images. Cut images were converted to text files listing each voxel’s coordinate and a value designating its bone adaptation event (formation, resorption, constant bone, background) using a custom C-based program. A custom script in MATLAB was then used to quantify bone volume changes at each voxel. The dimensions of each weekly transition image were additionally checked to confirm that they were all the same size. A matrix spanning the length of the number of voxels contained in the cut weekly images was initialized so that the weekly bone events at each voxel could be recorded. Each weekly transition image was read in and the bone events occurring at each voxel were recorded to the corresponding location in the matrix. The sequence of bone events at each voxel was then characterized by applying a moving window to count the bone events at that voxel to quantify the overall bone volume, formation, resorption, anabolic modeling, remodeling, and catabolic modeling events at each applicable timepoint. Bone formation and resorption were defined as formation and resorption events that occurred in a single weekly transition image. Modeling and remodeling were defined as a sequence of 3 events: remodeling as resorption–quiescence–formation, anabolic modeling as quiescence–quiescence–formation, and catabolic modeling as resorption–quiescence–quiescence (Figure 3C). Bone voxels formed by anabolic modeling and remodeling can be quantified through the duration of mechanical loading because baseline µCT scanning began 2 weeks prior to the start of mechanical loading. With 5 weeks of mechanical loading, catabolic modeling can be quantified at the first 3 time points because week 3 is the last week with 2 follow-up images (week 4 and 5) available to distinguish catabolic modeling. Bone volume changes, formation, and resorption events were normalized to their respective values at baseline (week 0) prior to the start of loading. Modeling and remodeling values were normalized to the baseline bone volume prior to the start of loading.

Figure 3
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Figure 3. Changes in bone dynamics and quantification of modeling and remodeling. Control and loaded tibiae of WT and SOST KO mice over time for (A) trabecular bone and (B) cortical bone. (C) Modeling and remodeling events are defined by examining a sequence of 3 consecutive events. Representative images shown are from analysis of the yellow boxed regions in (B).

2.7 Statistics

All values were reported as the mean ± SD. Bone volume changes over time were compared by two-way repeated measures ANOVA using Tukey’s post hoc test for comparisons of the effects of loading (control vs loaded) within genotypes (WT vs KO) each week. Bone volumes and accumulated bone volumes after 5 weeks of loading were compared by two-way ANOVA using Fisher’s Least Significant Difference post hoc tests for comparisons of the effects of loading (control vs loaded) and between genotypes (WT vs. KO). P < 0.05 were considered statistically significant. GraphPad Prism 10.3.1 (GraphPad Software) was used for statistical analysis.

3 Results

In the trabecular bone of control limbs, BV/TV decreased more drastically over time in WT mice due to greater levels of bone resorption and a decline in bone formation compared to SOST KO mice (Supplementary Figure S2A). Loading increased WT BV/TV relative to control limbs, due to elevated levels of bone formation, while SOST KO BV/TV change was more attenuated and due to a slight trend of decreased bone resorption after loading (Supplementary Figure S2B). After further classification of formation and resorption into modeling and remodeling events, loading was observed to stimulate anabolic modeling and remodeling and reduce catabolic modeling throughout the course loading in WT mice (Figure 4A). The accumulated bone volumes by anabolic modeling and remodeling in WT mice increased after loading, and these values were greater than that in SOST KO mice (Figure 4B). Catabolic modeling bone volume changes were decreased after loading in WT mice, particularly due to an early response in week 1, while the response in SOST KO mice was more attenuated.

Figure 4
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Figure 4. Effects of loading on trabecular bone modeling and remodeling in WT and SOST KO mice. (A) Time course trabecular bone volume changes. (B) Accumulated trabecular bone volume changes during loading. n=4/group. a, b denote p<0.05 for loading effects in WT and KO mice, respectively. ∗p < 0.05, ∗∗p < 0.01, ***p < 0.001, ∗∗∗∗p < 0.0001. Data were presented as the mean±SD.

Cortical bone also responded to loading in WT and SOST KO mice with increases in normalized bone volumes. Endosteal bone volumes remained relatively stable over the course of loading, where loading had a trend for an early increase in WT endosteal bone volumes, which then decreased by week 5 of loading (Supplementary Figure S3A). Periosteal bone volumes increased more robustly due to loading, resulting in increases in overall cortical bone volume to levels above baseline for both WT and SOST KO mice (Supplementary Figure S3B). Cortical formation peaked by week 2 for WT mice and then decreased with continued loading, while SOST KO showed a more level formation response (Supplementary Figure S4A). Although cortical resorption in WT mice trended to an increase compared to controls in week 5 of loading, there was an overall trend for decreased bone resorption after loading in both WT and SOST KO mice (Supplementary Figure S4B). From dividing the overall cortical bone into endosteal and periosteal compartments, distinct responses are identified. There was a trend for a transient increase in WT endosteal formation through week 2 of loading and an increase in WT endosteal resorption throughout loading (Supplementary Figure S5A). Periosteal bone was more responsive to loading with significant increases in formation and decreases in resorption throughout loading in WT mice, and a similar but more attenuated response in SOST KO mice (Supplementary Figure S5B).

The overall cortical bone response was dominated by modeling (anabolic and catabolic modeling) rather than remodeling. Like cortical formation, WT anabolic modeling peaked in week 2, while SOST KO response was more of a steady increase compared to controls (Supplementary Figure S6A). WT catabolic modeling decreased with loading, particularly due to an early response in week 1, while there was more of a diminished response in SOST KO mice (Supplementary Figure S6B). In control SOST KO limbs, there was an overall increase in modeling and remodeling compared to WT bone over time (Figure 5A). Endosteal bone was not as sensitive to loading, although transient effects resulted in an overall increase in catabolic modeling (Figure 5B). Periosteal modeling and remodeling were not as active compared to endosteal bone in the control limbs, although periosteal remodeling and catabolic modeling was greater in WT compared to SOST KO mice. Loading affected WT modeling and remodeling from the onset of loading, particularly with an early increase in remodeling through week 2 (Figure 5C). SOST KO mice showed a similar but reduced response to loading in accumulated changes of modeled and remodeled bone (Figure 5D).

Figure 5
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Figure 5. Effects of loading on (A, B) endosteal and (C, D) periosteal bone modeling and remodeling in WT and SOST KO mice. (A, C) Time course bone volume changes. (B, D) Accumulated bone volume changes during loading. n=4/group. a, b denote p < 0.05 for loading effects in WT and KO mice, respectively. ∗p < 0.05, ∗∗p < 0.01, ***p < 0.001, ∗∗∗∗p < 0.0001. Data were presented as the mean±SD.

4 Discussion

In this study, we detail a novel imaging technique our group previously used (Robinson et al., 2021) to quantify the time-dependent changes in trabecular and cortical bone modeling and remodeling explicitly as coupled or uncoupled formation and resorption events. This technique simultaneously captures trabecular and cortical (endosteal and periosteal compartments), microstructural regions of interest in the proximal tibia. We applied this technique here to characterize the bone adaptations in WT and SOST KO littermate mice and the differential responses to tibial loading. Over the experimental timeline, we find that WT trabecular and periosteal bone responded to loading with effects on anabolic modeling, remodeling, and catabolic modeling, and that these effects were diminished in SOST KO bone. Endosteal modeling and remodeling were not as sensitive to loading, but transient effects were observed.

Using a load-controlled tibia loading protocol with a peak compressive force of 9 N, we stimulated an increase in trabecular and cortical bone volumes in WT mice. SOST KO mice demonstrated a similar but more attenuated response where the trabecular BV/TV change did not reach statistical significance, likely due to the small sample size of 4 mice per group. In line with previous studies, Morse et al. found that loading increased trabecular and cortical bone volumes under load- and strain-controlled loading to 9 N compression (Morse et al., 2014). Similarly, Pflanz et al. showed similar loading effects in cortical bone with increased bone formation dynamics and reduced volumes of resorbed bone using dynamic histomorphometry and microCT 3D dynamic in vivo morphometry, while strain-controlled loading amplified the increase in SOST KO mineralized surface (Pflanz et al., 2017). Also, using strain-controlled loading and time-lapse microCT, Albiol et al. found that the trabecular bone volume in female SOST KO mice increased with loading due to decreased bone resorption (Albiol et al., 2020). While our results of female WT and SOST KO mice responding to loading for increased trabecular and cortical bone volumes align with previous studies, some differences in the bone dynamics may result from the different ages of mice and slightly different cortical volumes of interest. An advantage of our analysis is that we gain further insight into bone dynamics by separating bone formation and resorption into anabolic modeling, remodeling, and catabolic modeling adaptations in trabecular and cortical bone microstructure over an extended loading period.

Although microCT has become an established tool for the study of bone dynamics, studies on in vivo bone remodeling are lacking (Harrison and Cooper, 2015; Vanderoost and van Lenthe, 2014), and to our knowledge, our group has been the first to employ a microCT analysis technique to quantify the time-dependent changes of in vivo 3D modeling and remodeling in trabecular and cortical bone. 4D microCT has previously been proposed to quantify cortical modeling and remodeling (Birkhold et al., 2015), but mouse tibial loading studies have focused on the analysis of bone remodeling as independent formation and resorption events (Pflanz et al., 2017; Albiol et al., 2020; Birkhold et al., 2014b; Yang et al., 2020). Time-lapse CT analysis is a versatile technique, having also been applied using microCT to evaluate bone dynamics in aging (Scheuren et al., 2020), fracture healing (Wehrle et al., 2021; Tourolle Ne Betts et al., 2020), calvarial defects (Umoh et al., 2009), PTH treatment (Brouwers et al., 2009), and HR-pQCT in clinical studies (Christen et al., 2014; Atkins et al., 2021; Collins et al., 2022; van Rietbergen et al., 2021; Brunet et al., 2020). However, the analysis in these studies does not distinguish between coupled and uncoupled formation and resorption events. MicroCT scanning with a voxel resolution of 10.5 µm is effective in quantifying in vivo bone formation and resorption events in mouse trabecular and cortical bone, with significant correlations between the bone dynamics captured by in vivo microCT and traditional histomorphometric analysis (Schulte et al., 2011; Lambers et al., 2011; Birkhold et al., 2014a). In vivo tibia loading in skeletally mature C57BL/6J mice resulted in mineral apposition rates ranging from (between control and loaded limbs) 0.91–1.59 µm/day in trabecular bone (Willie et al., 2013), 0.8–1.9 µm/day in endocortical bone and 0.7–1.9 µm/day in periosteal bone (Sun et al., 2018). With our microCT imaging being every 7 days, we chose to reconstruct the images at a voxel size of 5 µm to improve the precision of voxel tracking. While this voxel size could potentially be further optimized, and given the resolution limits of current microCT scanners, we find that it effectively captures significant modeling and remodeling bone responses to loading in trabecular and cortical bone.

Although we demonstrate separate modeling and remodeling responses in trabecular and cortical bone, our study does include limitations. Choice of scanning parameters and postprocessing can influence bone morphological results (Christiansen, 2016; Oliviero et al., 2017). While other in vivo longitudinal microCT studies have not typically included a cluster removal step, we considered clusters below 15 voxels as noise, compared to the 30 voxels used in Christen et al. due to differences in HR-pQCT images of human bone and our microCT images of mouse bone (Christen et al., 2014). However, this parameter could be further optimized to distinguish bone versus noise voxels (Patterson et al., 2012). Particularly with longitudinal in vivo microCT imaging, radiation effects are considered. Using the same weekly microCT scanning protocol, we previously did not detect any significant effects of repeated scanning on BV/TV (Robinson et al., 2021). Although we did not analyze radiation effects beyond bone volume changes, other groups using comparable scanning protocols found no side effects from repeated scanning in bone architecture and marrow cells (Brouwers et al., 2007; Laperre et al., 2011). Studies suggest that repeated microCT imaging with a dose above 460 mGy per scan can significantly decrease trabecular bone volume fraction, with increased trabecular thickness and spacing, and decreased trabecular number in C57BL/6 mice (Laperre et al., 2011; Oliviero et al., 2019). Bone mineral density and cortical bone were not as affected by longitudinal microCT (Oliviero et al., 2017; Oliviero et al., 2019). The different responses to radiation between trabecular and cortical bone may be due to greater radiation sensitivity in osteoclasts than osteoblasts (Zhang et al., 2017). Willey et al. reported that irradiating C57BL/6 mice with an acute dose of 2 Gy by microCT increased osteoclast activity and number (Willey et al., 2008). However, differing results of bone’s response to radiation from longitudinal microCT have been reported, likely due to several factors, including different scanning protocols, regions scanned, and subject age (Laperre et al., 2011). With the increased use of in vivo time-lapse HR-pQCT to evaluate human bone turnover and adaptations (Zhou et al., 2025; Troy et al., 2020; Hosseinitabatabaei et al., 2025; Walle et al., 2024), where scans have an effective dose of 3–4 µSv (Burghardt et al., 2011; Nishiyama and Shane, 2013), it is important to consider radiation exposure, especially in the case of younger patients (Mitchell and Logan, 1998; Damilakis et al., 2010).

While we quantify modeling and remodeling adaptations, our analysis relies on tracking resorption and formation events at the voxel-level. This may result in a bias favoring modeling and underestimating remodeling events. Modeling and remodeling adaptations have also been distinguished by characterizing the underlying cement line and collagen fiber alignment from 2D sections ex vivo (Wang et al., 2021; Wang et al., 2022). Although multiple fluorochrome labeling and histology allow for examining bone dynamics at a higher resolution, time-lapse CT imaging can directly quantify in vivo modeling and remodeling changes in 3D. Because our scanning is performed weekly, it relies on identifying resorption, quiescence, and formation events at this interval. However, as we label each voxel with its specific bone adaptations over time, the labeling and segmentation scheme could be expanded to include any formation within a previous resorption pit as remodeling and to account for overflow bone formation.

While we focused on the effects of tibial loading on mice at a skeletally mature age by analyzing the response of the secondary spongiosa (trabecular bone) and diaphyseal cortical bone, the metaphyseal cortical bone is also captured in our weekly scans and could be included in future analyses (Altman et al., 2015). An advantage with time-lapse CT analysis is that longitudinal real-time subject-specific FEA (Walle et al., 2024; Walle et al., 2021; Walle et al., 2023; Griesbach et al., 2024; Paul et al., 2021) can be incorporated and combined with other segmentation techniques to label the trabecular microarchitecture by individual plates and rods (Robinson et al., 2021). From distinguishing modeling and remodeling adaptations, further insight into mechanical parameters can be gained (Young et al., 2022; Marques et al., 2023). Labeling the 3D bone microarchitecture also enables more mechanistic studies of corresponding cellular responses by registration of the CT volume to a 2D histology section (Lundin et al., 2017).

In summary, we detail an advancement of time-lapse CT imaging techniques for directly classifying in vivo modeling and remodeling over time in the trabecular and cortical microstructure. We characterize the distinct, time-dependent responses of WT and SOST KO trabecular, endosteal, and periosteal bone to mechanical loading by modeling and remodeling. Tracking coupled and uncoupled bone formation and resorption events at the voxel-level is particularly valuable because the scanning and image analysis techniques can be adapted to suit different subjects, from animal to human studies, with different regions of interest. Analysis of modeling and remodeling dynamics in space and time will provide critical inputs for computational models of bone adaptations and disease progression and function as a valuable tool for analyzing the long-term effects of therapies for bone diseases.

Data availability statement

The datasets presented in this study can be found in online repositories. The names of the repository/repositories and accession number(s) can be found below: https://github.com/pts2116/BBL-ModRemod.

Ethics statement

The animal study was approved by Columbia University Institutional Animal Care And Use Committee. The study was conducted in accordance with the local legislation and institutional requirements.

Author contributions

PS: Writing–original draft, Writing–review and editing. SR: Writing–original draft, Writing–review and editing. XG: Writing–review and editing, Writing–original draft.

Funding

The author(s) declare that financial support was received for the research and/or publication of this article. The NIAMS of NIH supports this work through R01 AR069148 and R01 AR062177.

Conflict of interest

The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.

Generative AI statement

The author(s) declare that no Generative AI was used in the creation of this manuscript.

Publisher’s note

All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.

Supplementary material

The Supplementary Material for this article can be found online at: https://www.frontiersin.org/articles/10.3389/fmede.2025.1547895/full#supplementary-material

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Keywords: in vivo microCT, bone remodeling, bone modeling, trabecular bone, cortical bone, mechanical loading

Citation: Shyu PT, Robinson ST and Guo XE (2025) In Vivo quantification of 4D modeling and remodeling in trabecular and cortical bone microstructure. Front. Med. Eng. 3:1547895. doi: 10.3389/fmede.2025.1547895

Received: 18 December 2024; Accepted: 28 February 2025;
Published: 21 March 2025.

Edited by:

David Putzer, Innsbruck Medical University, Austria

Reviewed by:

Sourav Mandal, University of Liège, Belgium
Chenguang Zhang, Sanofi Genzyme, United States

Copyright © 2025 Shyu, Robinson and Guo. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

*Correspondence: X. Edward Guo, ZXhnMUBjb2x1bWJpYS5lZHU=

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