Abstract
We review the rationale, methodology, and clinical utility of quantitative [18F] sodium fluoride ([18F]NaF) positron emission tomography-computed tomography (PET-CT) imaging to measure bone metabolic flux (Ki, also known as bone plasma clearance), a measurement indicative of the local rate of bone formation at the chosen region of interest. We review the bone remodelling cycle and explain what aspects of bone remodelling are addressed by [18F]NaF PET-CT. We explain how the technique works, what measurements are involved, and what makes [18F]NaF PET-CT a useful tool for the study of bone remodelling. We discuss how these measurements can be simplified without loss of accuracy to make the technique more accessible. Finally, we briefly review some key clinical applications and discuss the potential for future developments. We hope that the simplified method described here will assist in promoting the wider use of the technique.
1 Introduction
Recent years have seen a resurgence of interest in the use of [18F] sodium fluoride ([18F]NaF) positron emission tomography-computed tomography (PET-CT) imaging for the investigation of skeletal diseases (). [18F]NaF PET-CT offers several advantages over traditional gamma-camera imaging, including higher spatial resolution and improved image contrast due to the superior imaging properties of [18F]NaF (). Additionally, due to the absence of protein binding and the rapid clearance from soft tissue, image acquisition can start as early as 1 hour after tracer injection. Despite these advantages, traditional bone imaging agents such as technetium-99m-hydroxy diphosphonate ([99mTc]-HDP) and technetium-99m-labelled diphosphonate ([99mTc]-MDP) are still often employed in clinical settings. This has been attributed to the limited availability of PET scanners and [18F]NaF tracer and the higher costs associated with PET scans compared with gamma-camera imaging. However, the landscape is evolving rapidly, with an increasing preference for [18F]NaF PET. The availability of [18F]-labelled radionuclides in Nuclear Medicine facilities is on the rise worldwide due to the growing demand for [18F] fluorodeoxyglucose ([18F]FDG), thereby reducing the cost per PET scan. In addition, the global market shortage of technetium-99m in 2010 raised significant concerns regarding its future use, thereby increasing the cost of gamma camera scans. Furthermore, notable advancements in PET scan technology, such as improved time-of-flight (ToF) corrections, depth-encoded fully digital detectors with silicon photomultiplier (SiPM) readouts, and total-body PET systems with an extended cylindrical field-of-view, will substantially enhance photon count sensitivity compared to older scanners. Consequently, these advancements enable high-quality whole-body PET image acquisition to be performed with faster scanning times and lower radiation doses.
Unlike the more familiar technique of [18F]FDG, which images malignant disease, quantitative [18F]NaF PET-CT scans measure bone metabolic flux (Ki, alternatively known as regional bone plasma clearance), a measure that correlates with the rate of bone formation at the measurement site (, ). The conventional protocol for performing the studies has involved an hour-long dynamic PET scan at a single bed position combined with arterial blood sampling to measure the arterial input function (AIF) (). We have previously described a simplified imaging protocol based on the combination of a short (3 or 4-minute) static PET-CT scan acquired 1-hour after tracer injection with 2 or 3 venous blood samples at 30 to 60 minutes after injection to determine the terminal exponential of the arterial input function (AIF) (). The terminal exponential is added to a population average residual function representing the peak of the bolus injection and the early fast exponential components to approximate the full 0 to 60 min AIF (). An important advantage of the technique is that a series of short static scans can be acquired at several bed positions, enabling Ki values to be measured at multiple sites with only a single injection of tracer. A major aim of the method is to achieve the best possible accuracy and precision (i.e., the lowest reproducibility errors) in order to minimise the number of participants required in research studies at the desired level of significance.
In this article, we first review the bone remodelling cycle and explain what aspects of the cycle are measured by quantitative radionuclide imaging methods such as [18F]NaF PET-CT. We explain how the technique works, what measurements are involved, and what makes [18F]NaF PET-CT a valuable tool for the study of bone metabolism. We discuss what types of measurements are required and how these measurements can be simplified without loss of accuracy to make the technique more accessible. Finally, we review some existing clinical applications and the potential for future developments. We hope that by shortening the technique, providing access to a data collection sheet to record the basic information necessary for the calculation of Ki values, and an Excel spreadsheet to simplify them (), this review will assist the wider use of quantitative [18F]NaF PET-CT in the community.
2 What is bone remodelling?
Bone is a living tissue that requires continuous repair and renewal throughout life, a process known as bone remodelling. Bone remodelling is an active metabolic process that involves a dynamic interplay between osteocytes, osteoclasts, and osteoblasts that removes old bone tissue and replaces it with new bone, such that over a period of 5 to 10 years, the entire skeleton is rebuilt (). Bone remodelling is a cyclic process (Figure 1). At the start of the cycle, the bone site is in a quiescent phase until osteocytes responding to local mechanical and chemical stimuli initiate the activation stage, at which point cells lining the bone surface transform into osteoclasts. Subsequently, during the resorption phase, the osteoclasts digest the old bone, followed by a reversal phase mediated by mononuclear cells, leading to the appearance of osteoblasts on the surface of the bone resorption pit. The subsequent bone formation stage involves the deposition of new bone matrix by osteoblasts. This is followed by the mineralisation stage, during which calcium, phosphate, and hydroxyl ions are incorporated into the bone matrix to form hydroxyapatite [Ca10(PO4)6(OH)2], at the completion of which the cycle returns to the quiescent state.
Figure 1
The PET bone scan agent [18F]NaF specifically targets the mineralisation phase by replacing OH- ions with F- ions in newly forming microcrystals of hydroxyapatite (). Fluoride is the most electronegative ion, with a small ionic diameter and high charge density that allow it to competitively displace OH-. Other bone seeking radionuclides such as 85Sr, 89Sr, and 223Ra work instead by substituting one of the calcium ions in the hydroxyapatite molecule with an alternative alkaline earth metal. Figure 2 shows X-ray fluorescence images of bone biopsy samples that illustrate the cumulative effects of bone remodelling based on the deposition of stable strontium during long-term daily treatment of osteoporosis with strontium ranelate (). The figure illustrates how the deposition of bone-seeking tracers in bone tissue is restricted to sites of newly mineralising bone. For 18F, this hypothesis is supported by a study by Reeve et al. in patients with postmenopausal osteoporosis that reported correlations between bone blood flow measured using [18F]NaF, bone turnover measured using [85Sr]SrCl2, and dynamic bone histomorphometry performed at the iliac crest (). It is also supported by more recent studies that have examined the correlations between Ki measurements at the spine and hip and indices of bone formation measured by bone biopsy in patients with chronic kidney disease mineral and bone disorder (CKD-MBD) (, ).
Figure 2
3 What is quantitative [18F]NaF PET-CT?
After injection into the vascular system, [18F]NaF is cleared from plasma into soft tissue, including the unbound bone compartment (i.e., the bone extracellular fluid [ECF]), from where the 18F- ions compete with OH- ions at sites of on-going mineralisation of bone matrix to be laid down on the surface of the newly forming microcrystals of hydroxyapatite (
Quantitative [18F]NaF PET-CT as applied to the study of bone and mineral metabolism is a non-invasive functional imaging technique that traditionally uses a 60-min dynamic PET scan to quantify bone metabolic activity (Ki) and regional bone blood perfusion (K1) rather than relying on the simple visual interpretation or semi-quantitative standardised uptake values (SUV) analysis associated with static PET scan imaging (
Quantitative [18F]NaF PET-CT is used as an imaging biomarker that is considered to provide a measure of the site-specific rate of bone formation (
4 Why do we need quantitative [18F]NaF PET-CT?
X-rays, dual X-ray absorptiometry (DXA), CT scanning, and the single photon emission computed tomography (SPECT) radionuclide bone scan are the principle image-based clinical standards used in the qualitative diagnosis of musculoskeletal diseases. DXA of the spine and hip is used to quantify bone mineral density (BMD) and diagnose osteoporosis. It is also used to measure the response to anti-fracture treatment, although it often takes 2 to 3 years before any significant change in BMD can be detected in an individual patient. CT and (to a limited extent) DXA imaging provide bone structural information, while PET imaging provides information at a functional level. The response to any treatment will start at a functional level, representing molecular and cellular changes, within weeks, but can take a few months or years before it is observable at an anatomic level. Therefore, the non-invasive measurement of regional bone metabolism using quantitative [18F]NaF PET imaging can detect the response to the treatment of metabolic or metastatic bone diseases much earlier than DXA or CT, and therefore is an efficient way of conducting early-phase clinical trials of novel drugs to avoid later-stage attrition due to lack of efficacy, with the potential for translation to the clinic (
Biochemical markers of bone formation or bone resorption in serum or urine also provide an early, non-invasive measurement of bone metabolism, which can be used to verify response within a few weeks after the commencement of treatment (
Figure 3

Average measurements of biochemical markers of (A) bone resorption (NTX) and (B) bone formation (BSAP) (B) at six time points in 85 postmenopausal women starting alendronic acid treatment for postmenopausal osteoporosis. Bone marker measurements are expressed in T-score units, in analogy with bone mineral density T-scores, relative to a group of 46 non-osteoporotic premenopausal women, without treatment, for whom T-score = 0. Adapted from Garnero et al. 1994 (
The imaging technique of quantitative [18F]NaF PET-CT can provide information about changes in regional bone formation within about 12 weeks after the commencement of treatment, much earlier than the changes in BMD measured by DXA (
Figure 4

Scatter plot showing the correlation between Ki values at the lumbar spine measured using [18F]NaF PET and the bone formation rate per unit bone surface area measured at the iliac crest using bone biopsy with tetracycline labelling. Adapted from Aaltonen et al. 2020 (
5 What can we estimate from quantitative [18F]NaF PET-CT?
There are two main approaches to the quantitative measurement of bone metabolism using [18F]NaF PET-CT, namely the measurement of SUV and Ki, respectively.
A SUV measurement provides a semi-quantitative measure of tracer uptake within a defined volume of interest (VOI) at a specific time after injection and is calculated by normalising the [18F]NaF concentration in the bone VOI measured in units of Bq/mL for the injected activity (Bq) and the patient’s body weight (g), and expressed in units of g/mL. For diffuse metabolic bone diseases such as osteoporosis, SUV is usually calculated from the mean tracer concentration within the VOI (SUVmean). The alternative SUVmax and SUVpeak values are often used in oncology for studies using [18F]FDG, where clinicians tend to follow a clear framework and guidelines for their use (
The measurement of SUV is popular due to its simplicity and relatively small precision error (i.e., reproducibility error) of around 10%, compared to the greater complexity of measuring Ki values, with somewhat larger precision errors of typically 11-15% (
Traditionally, the measurement of Ki values has required a 60-minute dynamic scan in a single bed position to measure the bone time-activity curve in the chosen VOI, together with information on the arterial input function obtained either by direct arterial sampling or from a VOI placed in the left ventricle or the aorta. The two time activity curves are solved together to find the rate constants in the Hawkins compartmental model, which consists of a bone extracellular fluid (ECF) compartment and a bound bone compartment that are supplied with [18F]NaF tracer from plasma (Figure 5) (
Figure 5

The Hawkins compartmental model describing the kinetics of [18F]NaF in bone. Bone metabolic flux Ki representing the net transfer of [18F]NaF from plasma to bone mineral is calculated from the equation: .
Measured values of Ki in the lumbar spine are typically around 0.03 mL/min/mL, which means that the net quantity of [18F]NaF tracer laid down in bone in each mL of the bone VOI in one minute is equal to the amount contained in 0.03 mL of plasma.
Unlike SUV, Ki values are considered fully site-specific because they measure the local metabolic flux in the chosen VOI with respect to the concentration of tracer in the artery supplying the site under investigation. Thus, Ki values remain unaltered by the tracer uptake occurring at other sites in the body not under investigation. Therefore, in cases where the bone disease or its treatment is potent enough to alter the area under the [18F]NaF arterial input function curve due to aggressive uptake of tracer in other parts of the body, there is a decoupling of the usually strong correlation between SUV and Ki, and the latter is the more site-specific measurement (
The difference in the results between SUV and Ki measurements can have important implications for the design of clinical trials. The number of subjects required to demonstrate a statistically significant response to a drug treatment depends on the ratio of the treatment effect of the chosen parameter (i.e., SUV or Ki) to the precision error. The treatment effect, measured as a percentage change between the baseline and follow-up scans, depends on the sensitivity of the parameter used to make the measurements. A parameter that has a larger value of the ratio of treatment effect to precision error will be more cost-effective in research studies because fewer subjects will be required to achieve a statistically significant result (
6 Is there an easier way to measure Ki values using [18F]NaF PET-CT?
The requirement to solve the Hawkins compartmental model to find the rate constants K1, k2 and k3 before Ki can be calculated can be avoided by using the Patlak plot graphical method (
In Equation 2, Cbone(T) is the concentration of [18F]NaF in the bone VOI (units: Bq mL-1) at time T after tracer injection, Cplasma(T) is the concentration in plasma (units: Bq mL-1) at time T, Vo is the volume of distribution of tracer in the bone ECF (i.e., the fraction of the total bone VOI occupied by the ECF compartment), and is the area under the plasma AIF curve over the time interval between 0 and T. Equation 2 is a linear equation of the form Y = m*X + c, where Y = is referred to as the normalised bone uptake and X = is referred to as the normalised time (Figure 6A). The data plotted on the Y- and X-axes between 10–60 min (the non-linear part during the early non-equilibrium state of the system between 0-10 min is ignored) is fitted by linear regression to obtain the values of Ki and Vo. It is important to note that, unlike the full solution of the Hawkins model, the Patlak plot method only provides measurements of bone metabolic flux (Ki), not values of bone blood flow (K1).
Figure 6

(A) The Patlak plot graphical method of calculating Ki. Normalised bone uptake is plotted against normalised time from 10 to 60 minutes after injection of tracer and the linear regression line fitted. The slope of the line is Ki and the intercept is the volume of distribution of the tracer in the bone extracellular fluid (ECF) compartment, V0. The mathematical definitions of normalised uptake and normalised time are given in the text. (B) The static scan method of measuring Ki is a simplified form of the Patlak plot with a single scan point at about 60 min after injection with the intercept replaced by the population mean value of Vo.
We have recently described a simplified imaging protocol in which the Patlak plot shown in Figure 6A is reduced to two points, one obtained from a single short (3 to 4 minute) static PET-CT scan acquired at around 60 minutes after tracer injection and the second from the population mean value of Vo (Figure 6B) (
7 Clinical applications, future developments, and limitations
[18F]NaF PET-CT scans have been used to study a variety of metabolic, metastatic, and other bone diseases, often with the aim of quantifying response to treatment and investigating the efficacy of bone-directed therapies (Table 1). A recent book edited by Kairemo and Macapinlac provides a detailed account of clinical applications (
Table 1
| Medical Condition | Specific Disease (with references) | Patient Type | Sample Size | Major Findings |
|---|---|---|---|---|
| Metabolic bone disorders | Osteoporosis ( | Postmenopausal women | 27 | [18F]NaF PET an imaging biomarker for treatment efficacy at the hip |
| Paget’s disease ( | Vertebral Paget’s disease | 14 | Measurement of [18F]NaF kinetic parameters in Paget’s disease | |
| Chronic kidney disease mineral and bone disorder ( | Renal dialysis patients | 26 | Investigation of [18F]NaF PET as a tool for investigating adynamic bone disease in CKD-MBD patients | |
| Medication-related osteonecrosis of the jaw ( | Multiple myeloma patients | 26 | SUV elevated in patients with bisphosphonate related ONJ | |
| Metastatic bone disease | Breast cancer ( | Breast cancer patients | 12 | Ki measurements in bone metastases identified patients with clinically progressive disease more reliably than SUV |
| Atherosclerosis | Coronary atherosclerosis ( | Patients with myocardial infarction and stable angina | 92 | [18F]NaF identified patients with ruptured and high-risk coronary plaques |
| Aortic syndrome ( | Patients with acute aortic syndrome | 67 | [18F]NaF PET/CT holds promise as a marker of disease severity in patients with acute aortic syndrome | |
| Autoimmune diseases | Rheumatoid arthritis ( | Adult patients with rheumatoid arthritis | 17 | Joint uptake measured using [18F]NaF PET/CT accurately predicted disease activity |
| Osteogenic bone disorder | Fibrodysplasia ossificans progressiva (FOP) ( | Patients with possible progression of heterotropic ossification | 5 | [18F]NaF PET/CT identified patients with asymptomatic but progressive heterotopic ossification lesions |
| Sports medicine | Assessment of acute bone loading ( | Healthy subjects | 12 | Bone loading induced an acute response in Hawkins model parameters and SUV |
Key examples of clinical applications of [18F]NaF PET-CT.
One application that has attracted interest is the potential of [18F]NaF PET-CT scans to help with the investigation of patients with CKD-MBD, in particular whether measurements of lumbar spine Ki can differentiate patients with high turnover disease such as secondary hyperparathyroidism from those with low bone turnover such as adynamic bone disease (ABD) (
Further progress in this field will require the establishment of a multi-centre study that includes many more CKD-MBD cases and the adoption of a common protocol for scan acquisition and analysis. An international imaging consortium could play a role in the discovery, validation, and delivery of innovative, quality-assured imaging biomarkers for clinical use. Such a consortium would allow data from multiple centres to be pooled and analysed together and would further build on agreed-upon standardised quality assurance protocols. This may help design new multi-centre trials using the chosen [18F]NaF PET-CT protocol.
The published literature already includes many small single-centre studies, most of them with baseline [18F]NaF PET-CT scans in untreated participants, that could provide a potential resource to better define diagnostic ranges of Ki values in different disease types. Retrospective reanalysis of these scans with a common agreed-upon protocol could provide a large pool of data to help reach clinically significant conclusions and define diagnostic ranges of Ki values associated with abnormally low and high turnover compared to healthy bone turnover rates. The diagnostic range of Ki values may require adjustment for factors such as age, sex, race, disease status, treatment, PET-CT scanner model, and the imaging protocol.
Therefore, we believe that efforts should be made towards building a consortium that will pool resources from multiple centres to develop a database to securely store, share, and analyse previously acquired dynamic [18F]NaF PET-CT datasets. A database of pooled studies from worldwide centres will provide us with the ability to answer clinical questions with higher statistical power than is currently possible. It will provide a facility to develop and train tools in the area of artificial intelligence and machine learning to develop newer PET image processing, analysis, and reconstruction methods (
There are several limitations associated with [18F]NaF PET-CT imaging that should be noted. PET scanners have a spatial resolution of around 6 mm, which is inferior to CT and MRI imaging. While measurements at the spine and hip are unaffected by the partial volume effect, reliable measurements of narrower bones such as the radius require a correction for the spill-over of counts outside the bone volume imaged by CT. If necessary, a scanner-specific calibration curve can be obtained by imaging a phantom with cylindrical rods of varying diameters, and an appropriate correction factor can be derived. The dependence of image-derived arterial input functions on the reconstruction algorithm could, unless controlled, be a limitation for harmonising data from different studies and can significantly affect K1 as well as Ki values (
8 Conclusion
Bone metabolic flux (Ki) values obtained using quantitative [18F] sodium fluoride PET-CT imaging provide a measurement indicative of the local rate of bone formation. Ki is more accurate than standardised uptake values (SUV) for measuring response to treatment when studying drugs that have a potent effect on bone remodelling across the whole skeleton. Ki can be estimated at multiple sites in the skeleton without loss of accuracy or precision with a single injection of tracer using a simplified procedure involving a series of 4-minute static PET scans, 2-3 venous blood samples, aided by an Excel spreadsheet to perform the calculations (
Statements
Author contributions
All authors contributed to the preparation of the manuscript. The first draft of the manuscript was written by TP and all authors commented on previous versions of the manuscript. GB is the senior/last author. All authors contributed to the article and approved the submitted version.
Funding
AC is supported by the National Institute for Health Research (NIHR) Manchester Biomedical Research Centre. The University of Manchester has covered the cost of open access publication associated with this manuscript.
Acknowledgments
We would like to thank Richard Eastell, Professor of Bone Metabolism at the University of Sheffield, for the helpful suggestions.
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.
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.
Abbreviations
[18F]NaF, [18F] sodium fluoride; ABD, adynamic bone disease; AIF, arterial input function; Bq/mL, Becquerels per milliliter; BMD, bone mineral density; BSAP, serum bone-specific alkaline phosphatase; CKD-MBD, Chronic kidney disease mineral and bone disorder; CT, computed tomography; CTX, C-terminal telopeptide or serum carboxy-terminal collagen crosslinks; DXA, dual X-ray absorptiometry; ECF, extracellular fluid; g/mL, gram per millilitre; iPTH, intact parathyroid hormone; Ki, metabolic flux; K1, bone blood perfusion; MBq, megabecquerel; MRONJ, Medication-related osteonecrosis of the jaw; mSv, millisieverts; NEMA, national electrical manufacturers association; NHS, National Health Service; P1NP, serum procollagen 1 N-terminal propeptide; PET, positron emission tomography; PET-CT, positron emission tomography-computed tomography; NTX, also known as amino-terminal collagen crosslinks or N-terminal telopeptide; QA, quality assurance; ROI, regions of interest; SP-AIF, semi-population arterial input function; SPECT, single photon emission computed tomography; SUV, standardised uptake values; SUVmax, maximum standardised uptake value; SUVmean, mean standardised uptake value; SUVpeak, peak standardised uptake value; VOI, volume of interest; [99mTc]-HDP, technetium-99m-hydroxy diphosphonate; [99mTc]-MDP, technetium-99m-labeled diphosphonate.
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Summary
Keywords
quantitative measurement of bone, bone metabolic flux, clinical applications, future developments, [18F]NaF, Ki, PET-CT, [18F] sodium fluoride
Citation
Puri T, Frost ML, Moore AEB, Choudhury A, Vinjamuri S, Mahajan A, Fynbo C, Vrist M, Theil J, Kairemo K, Wong J, Zaidi H, Revheim M-E, Werner TJ, Alavi A, Cook GJR and Blake GM (2023) Utility of a simplified [18F] sodium fluoride PET imaging method to quantify bone metabolic flux for a wide range of clinical applications. Front. Endocrinol. 14:1236881. doi: 10.3389/fendo.2023.1236881
Received
08 June 2023
Accepted
14 August 2023
Published
13 September 2023
Volume
14 - 2023
Edited by
Ali Ghasem-Zadeh, University of Melbourne, Australia
Reviewed by
Roger Price, University of Western Australia, Australia; Nicholas Pocock, St Vincent’s Hospital Sydney, Australia
Updates

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Copyright
© 2023 Puri, Frost, Moore, Choudhury, Vinjamuri, Mahajan, Fynbo, Vrist, Theil, Kairemo, Wong, Zaidi, Revheim, Werner, Alavi, Cook and Blake.
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: Tanuj Puri, tanuj.puri@manchester.ac.uk; tanujpuri82@gmail.com
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