Introduction
Multiple myeloma (MM) is a malignancy originating from plasma cells, characterized by uncontrolled proliferation and accumulation of plasma cells in the bone marrow. This disease often leads to a spectrum of systemic manifestations, including renal failure, hypercalcemia, bone destruction, and anemia due to bone marrow failure [ 1 ]. In the United States, MM accounts for approximately 1.8% of all cancer cases and 18.7% of hematologic malignancies. Its prevalence is slightly higher among men than women, with a median age of onset at 69 years [ 2 , 3 ]. For the year 2023, the American Cancer Society estimates that 35,730 new cases of MM will be diagnosed, with an estimated 12,590 associated deaths [ 3 ].
The initial clinical presentation of MM is highly diverse, involving multiple organ systems. Literature reports indicate that anemia is observed in 73% of cases, osteolytic bone destruction in 79%, and acute kidney damage in 19% [ 4 ]. Additionally, patients may present with hypercalcemia (13%), lymphadenopathy (1%), leukopenia (20%), and thrombocytopenia (5%) [ 4 ]. Given that MM predominantly affects elderly individuals with various underlying health conditions, its characteristic symptoms can often go unnoticed, leading to a high risk of initial misdiagnosis [ 5 ]. According to estimates from available literature, the time elapsed from the onset of initial health changes to seeking medical attention ranges from 1 to 7 months, with the time from first medical consultation to final diagnosis spanning from 2 weeks to 17 months [ 6 ]. Initial misdiagnosis rates for MM patients can reach as high as 13.7–32.2%, and literature shows that due to the invasive and complex diagnosis process, less than half of patients receiving a correct diagnosis within the first 6 months [ 7 ].
A delay in the diagnosis of MM is often associated with more advanced disease progression, resulting in a cascade of adverse consequences, including a diminished quality of life and reduced long-term survival [ 8 ]. Timely recognition and management are paramount in improving patient outcomes. When MM is not identified early during the initial diagnosis by the primary healthcare provider and subsequently referred to specialists, such as oncologists and hematologists, the patient may experience a significant delay in diagnosis. This delay can lead to suboptimal control of disease symptoms [ 8 , 9 ]. Studies reveal that 40% of MM patients experience clinical symptoms for up to 46 months before diagnosis, with these patients often presenting multiple complications. Conversely, 40% of patients with symptoms lasting less than 3 months and timely diagnosis show no complications [ 10 ]. Furthermore, research indicates that prolonged diagnosis times do not significantly impact overall survival but do affect the onset of initial symptoms ( p < 0.043) and disease-free survival after diagnosis ( p < 0.003) [ 10 ]. Therefore, reducing the time to MM diagnosis can substantially enhance long-term patient prognosis and overall survival.
Current diagnostic criteria for MM, as outlined in guidelines from the National Comprehensive Cancer Network (NCCN) [ 11 ] and the International Myeloma Working Group (IMWG) [ 12 ], include the presence of 10% or more clonal plasma cells in bone marrow or evidence of biopsy-confirmed plasmacytoma, along with one or more myeloma defining events (MDEs). MDEs encompass established CRAB characteristics (hypercalcemia, renal failure, anemia, or lytic bone lesions) and three specific biomarkers: clonal bone marrow plasma cells ≥ 60%, serum free light chain (FLC) ratio ≥ 100 (with involved FLC levels ≥ 100 mg/L), and evidence of one or more bone destructions greater than 5 mm observable in MRI. Additionally, the revised international staging system incorporates data from serum biomarkers such as beta2 microglobulin, albumin, lactate dehydrogenase, fluorescence in situ hybridization [t(4;14), del(17p), t(14;16)] to assess progression-free survival and overall survival [ 13 ].
Hence, initial diagnostic workup for suspected MM typically includes a battery of tests: blood tests (complete blood count, comprehensive metabolic panel, calcium levels, coagulation profile, serum protein electrophoresis, immunofixation electrophoresis, β 2 microglobulin, etc.), urine analysis (urinalysis, urine protein electrophoresis, urine immunofixation electrophoresis, 24-hour urine light chain quantification, etc.), bone marrow examination (cytology, biopsy, immunohistochemistry, flow cytometry, fluorescence in situ hybridization, etc.), and radiological examination (local or whole-body MRI, whole-body positron emission tomography PET-CT), among others [ 14 , 15 ]. The complexity of the MM diagnostic process, coupled with the expense and invasiveness of some tests, restricts access to accurate diagnosis and treatment resources for many patients in underserved regions, leading to protracted and costly diagnostic journeys. Additionally, limited knowledge of MM among primary care practitioners and emergency physicians in certain areas exacerbates diagnostic challenges, with studies revealing that 50.6% (939/1854) of MM patients visited healthcare facilities multiple times before being referred to hematology departments [ 16 ]. If clinicians in initial diagnostic institutions conduct timely stratification and screening for suspected high-risk MM patients after evaluating their condition, it will increase the detection rate of MM in outpatient clinics. This will benefit the improvement of the quality of life and long-term prognosis of MM patients and reduce the incidence of related severe complications. Therefore, there is an urgent need in clinical practice for a non-invasive method that can quickly screen for MM through basic hematological tests. For example, refining diagnostic thresholds for indicators significantly related to MM diagnosis to initially screen high-risk MM patients and constructing an initial MM diagnosis model can assist general practitioners and hematologists. This approach will shorten the diagnosis time for MM and improve the overall prognosis of patients.
This study aims to utilize fundamental laboratory indicators such as complete routine hematological and biochemical parameters to identify optimal cutoff values for indicators associated with MM diagnosis. The refinement of threshold ranges will aid in clinical screening. Furthermore, traditional machine learning algorithms will be employed to construct an MM diagnostic model, enhancing the efficiency of MM diagnosis. This research aims to assist general practitioners and doctors in initial MM diagnosis, reducing the time taken for MM diagnosis, and improving the overall prognosis for patients.
Materials and methods
Participants
Based on the Medical Big Data Research Center of Zhejiang Provincial People’s Hospital, we conducted a retrospective analysis of 279 NDMM patients and 553 healthy subjects who visited the outpatient clinic of Zhejiang Provincial People’s Hospital from January 2008 to June 2023. Using January 2018 as the cutoff, the samples were divided into two groups, serving as the experimental group and the validation group in this study.
In the training group, we conducted a retrospective analysis of 184 patients diagnosed with MM. These patients received treatment at the outpatient department of Zhejiang Province People’s Hospital during the period from January 2008 to January 2018. Additionally, we included a control group consisting of 362 healthy individuals. The criteria for inclusion and exclusion of MM patients in the experimental group were as follows:
Inclusion Criteria: Adherence to the NCCN Guidelines for Diagnosis and Treatment (revised in 2022) [ 11 ]. Initial visit for MM diagnosis. Availability of complete clinical data. Exclusion Criteria: Receipt of specialized treatments such as radiotherapy and chemotherapy. Coexistence of other diseases, including malignant solid tumors, severe acute infections, severe autoimmune diseases, MM-related amyloidosis, complicating hematological disorders, and severe conditions affecting vital organs such as the heart, liver, kidney, and nervous system. Substantial gaps in clinical data.
To assess the diagnostic efficacy and generalizability of our model, we conducted a new retrospective analysis of 95 MM patients and 191 healthy subjects. These individuals sought medical care at our hospital between February 2018 and June 2023 and met the same inclusion and exclusion criteria mentioned above. This dataset, denoted as “dataset 2”, was used as the external validation cohort. The specific sample screening process is illustrated in Fig. 1 . Fig. 1 Flow chart of comprehensive sample screening

This study received approval from the Ethics Committee of Zhejiang Province People’s Hospital, and the research was conducted in accordance with the principles outlined in the Declaration of Helsinki (Ethical approval code: QT2023281). A retrospective study was conducted on electronic medical records in this experiment, and all individuals had provided informed consent before being included in the study.
Clinical and laboratory data collection
For this study, we retrospectively gathered biochemical and blood routine data from the electronic medical record database of Zhejiang Province People’s Hospital. In accordance with current clinical diagnostic criteria and routine diagnostic practices, we considered age and gender alongside a selection of pertinent laboratory indices, which include: Albumin (Alb), globulin (Glo), total protein (TP), albumin to globulin ratio (AGR), serum calcium (Ca), serum creatinine (Cr), lactate dehydrogenase (LDH), hemoglobin (Hb), platelet count (Plt), platelet distribution width (PDW). All these parameters were assessed at the patients’ initial clinic visit, ensuring simplicity, accessibility, and cost-effectiveness in data collection.
Statistical analysis
Statistical analysis was conducted using SPSS 26.0, SAS 9.4, and R 4.0.3 software. Categorical variables were described in terms of frequencies and percentages, and differences between the two groups were assessed using the chi-square (χ 2 ) test. Numerical variables were subjected to the Kolmogorov-Smirnov test to assess normality. If continuous variables were normally distributed, an independent T-test was employed and described as mean standard deviation. Conversely, non-normally distributed continuous variables were analyzed using the Wilcoxon rank-sum test and described as [M(P 25 , P 75 )]. Multivariate correlation analysis employed binary logistic regression to identify the most relevant features for model construction. Statistical significance was defined as p < 0.05.
By estimating the maximum Youden index for each clinical laboratory indicator after multifactorial selection, optimal cutoff points for each indicator in the diagnosis of MM were determined. In this experiment, traditional machine learning techniques were employed, and a model was established using the logistic regression algorithm. Logistic regression is an algorithm that assesses the probability of an event occurring through factors or features associated with the occurrence or impact of the event. Widely applied in medical research, it demonstrates high accuracy in disease diagnosis and risk prediction [ 17 , 18 ]. Dataset 1 was utilized for model development, while dataset 2 was employed for external validation. The logistic regression model’s performance was evaluated using the Receiver Operating Characteristic (ROC) curve and metrics such as sensitivity and specificity.
Results
Patient characteristics
The overall baseline characteristics of the total sample are shown in Table 1 . Chi-square test results indicate that there is no statistically significant difference in gender between the two groups. However, independent sample T-test results show a significant age difference between the groups. Among the clinical laboratory indicators, all but LDH show statistically significant differences ( p < 0.05).
Table 1 The clinical characteristics of all patients Characteristics MM group ( n = 279) Control group ( n = 362) Statistical values p Male 178 (63.80) 350 (63.29) χ 2 = 0.21 0.886 Age (years) 68.0 (59.0–74.0) 56.0 (34.0–69.0) Z = 9.385 < 0.001 Alb (g/L) 33.3 (28.7–8.2) 43.6 (41.5–45.4) Z= − 18.98 < 0.001 Glo (g/L) 42.5 (26.0–68.0) 28.4 (26.1–30.5) Z = 10.155 < 0.001 TP (g/L) 76.9 (65.5–98.6) 72.4 (69.3–74.6) Z = 4.896 < 0.001 AGR 0.79 (0.44–1.42) 1.55 (1.41–1.71) Z= − 14.54 < 0.001 Ca (mmol/L) 2.25 (2.11–2.41) 2.34 (2.28–2.39) Z= − 6.695 < 0.001 Cr (mg/dL) 1.060 (0.839–1.683) 0.900 (0.807–1.005) Z = 8.277 < 0.001 LDH (U/L) 174.0 (140.0–221.0) 176.0 (160.0-198.0) Z= − 0.905 0.365 Hb (g/dL) 9.20 (7.40–11.00) 14.50 (13.20–15.70) Z= − 21.04 < 0.001 Plt (/mm 3 ) 155,000 (113000–201000) 210,000 (173000–250000) Z= − 10.04 < 0.001 PDW (fL) 12.6 (10.7–14.9) 13.1 (11.6–14.9) Z= − 2.850 0.004 Normally distributed variables are expressed as “x ± s (mean ± standard deviation),” while non-normally distributed variables are expressed as “[M(P 25 , P 75 )]” Alb Albumin, Glo Globulin, TP Total Protein , AGR Albumin to Globulin Ratio, Cr Serum Calcium, Ca Serum Calcium, Hb Hemoglobin, LDH lactate dehydrogenase, Plt Platelet Count, PDW Platelet Distribution Width
Table 1
The clinical characteristics of all patients
Normally distributed variables are expressed as “x ± s (mean ± standard deviation),” while non-normally distributed variables are expressed as “[M(P 25 , P 75 )]” Alb Albumin, Glo Globulin, TP Total Protein , AGR Albumin to Globulin Ratio, Cr Serum Calcium, Ca Serum Calcium, Hb Hemoglobin, LDH lactate dehydrogenase, Plt Platelet Count, PDW Platelet Distribution Width
| Characteristics | MM group ( n = 279) | Control group ( n = 362) | Statistical values | p |
| Male | 178 (63.80) | 350 (63.29) | χ 2 = 0.21 | 0.886 |
| Age (years) | 68.0 (59.0–74.0) | 56.0 (34.0–69.0) | Z = 9.385 | < 0.001 |
| Alb (g/L) | 33.3 (28.7–8.2) | 43.6 (41.5–45.4) | Z= − 18.98 | < 0.001 |
| Glo (g/L) | 42.5 (26.0–68.0) | 28.4 (26.1–30.5) | Z = 10.155 | < 0.001 |
| TP (g/L) | 76.9 (65.5–98.6) | 72.4 (69.3–74.6) | Z = 4.896 | < 0.001 |
| AGR | 0.79 (0.44–1.42) | 1.55 (1.41–1.71) | Z= − 14.54 | < 0.001 |
| Ca (mmol/L) | 2.25 (2.11–2.41) | 2.34 (2.28–2.39) | Z= − 6.695 | < 0.001 |
| Cr (mg/dL) | 1.060 (0.839–1.683) | 0.900 (0.807–1.005) | Z = 8.277 | < 0.001 |
| LDH (U/L) | 174.0 (140.0–221.0) | 176.0 (160.0-198.0) | Z= − 0.905 | 0.365 |
| Hb (g/dL) | 9.20 (7.40–11.00) | 14.50 (13.20–15.70) | Z= − 21.04 | < 0.001 |
| Plt (/mm 3 ) | 155,000 (113000–201000) | 210,000 (173000–250000) | Z= − 10.04 | < 0.001 |
| PDW (fL) | 12.6 (10.7–14.9) | 13.1 (11.6–14.9) | Z= − 2.850 | 0.004 |
The baseline characteristics of dataset 1 are presented in Table 2 . In dataset 1, gender and age distribution showed no statistically significant difference between the two groups based on the results of the chi-square test and Wilcoxon rank-sum test. However, among all clinical parameters, the MM group had higher levels of Glo, TP, Cr and LDH compared to the control group, with the difference in Glb being the most significant. On the contrary, the levels of Alb, AGR, Ca, Hb, PDW, and Plt in the MM group showed a decreasing trend compared to the control group, with Alb exhibiting the most significant difference. All clinical and laboratory parameters, except for LDH and TP, showed statistical significance ( p < 0.05).
Table 2 The characteristics of the development cohort (cohort 1) Characteristics Reserch group ( n = 184) Control group ( n = 362) Statistical values p Male 109 (59.23) 212 (58.56) χ 2 = 0.21 0.639 Age (years) 68.0 (58.0–75.0) 66.0 (57.0–74.0) Z = 0.46 0.651 Alb (g/L) 33.80 (29.80–39.30) 43.80 (41.6–45.5) Z= − 14.68 < 0.001 Glo (g/L) 37.10 (24.60–60.80) 28.80 (26.9–31.0) Z = 5.036 < 0.001 TP(g/L) 73.6 (63.4–89.8) 72.8 (70.3–75.0) Z = 1.310 0.190 AGR 0.91 (0.47–1.52) 1.54 (1.39–1.67) Z= − 9.74 < 0.001 Ca (mmol/L) 2.25 (2.12–2.42) 2.33 (2.27–2.38) Z= − 4.30 < 0.001 Cr (mg/dL) 1.049 (0.850–1.633) 0.906 (0.827–1.015) Z = 6.161 < 0.001 LDH (U/L) 176.47 (142.10–226.40) 174.50 (160.33–191.87) Z = 0.73 0.478 Hb (g/dL) 9.41 ± 2.59 14.16 ± 16.95 t = 25.73 < 0.001 Plt (/mm 3 ) 154,500 (110500–211500) 193,000 (161000–231000) Z= − 5.48 < 0.001 PDW (fL) 11.87 (10.43–15.51) 14.20 (11.30–15.47) Z= − 6.15 < 0.001 Normally distributed variables are expressed as “x ± s (mean ± standard deviation),” while non-normally distributed variables are expressed as “[M(P 25 , P 75 )]” Alb Albumin, Glo Globulin, TP Total Protein , AGR Albumin to Globulin Ratio, Cr Serum Calcium, Ca Serum Calcium, Hb Hemoglobin, LDH lactate dehydrogenase, Plt Platelet Count, PDW Platelet Distribution Width.
Table 2
The characteristics of the development cohort (cohort 1)
Normally distributed variables are expressed as “x ± s (mean ± standard deviation),” while non-normally distributed variables are expressed as “[M(P 25 , P 75 )]” Alb Albumin, Glo Globulin, TP Total Protein , AGR Albumin to Globulin Ratio, Cr Serum Calcium, Ca Serum Calcium, Hb Hemoglobin, LDH lactate dehydrogenase, Plt Platelet Count, PDW Platelet Distribution Width.
| Characteristics | Reserch group ( n = 184) | Control group ( n = 362) | Statistical values | p |
| Male | 109 (59.23) | 212 (58.56) | χ 2 = 0.21 | 0.639 |
| Age (years) | 68.0 (58.0–75.0) | 66.0 (57.0–74.0) | Z = 0.46 | 0.651 |
| Alb (g/L) | 33.80 (29.80–39.30) | 43.80 (41.6–45.5) | Z= − 14.68 | < 0.001 |
| Glo (g/L) | 37.10 (24.60–60.80) | 28.80 (26.9–31.0) | Z = 5.036 | < 0.001 |
| TP(g/L) | 73.6 (63.4–89.8) | 72.8 (70.3–75.0) | Z = 1.310 | 0.190 |
| AGR | 0.91 (0.47–1.52) | 1.54 (1.39–1.67) | Z= − 9.74 | < 0.001 |
| Ca (mmol/L) | 2.25 (2.12–2.42) | 2.33 (2.27–2.38) | Z= − 4.30 | < 0.001 |
| Cr (mg/dL) | 1.049 (0.850–1.633) | 0.906 (0.827–1.015) | Z = 6.161 | < 0.001 |
| LDH (U/L) | 176.47 (142.10–226.40) | 174.50 (160.33–191.87) | Z = 0.73 | 0.478 |
| Hb (g/dL) | 9.41 ± 2.59 | 14.16 ± 16.95 | t = 25.73 | < 0.001 |
| Plt (/mm 3 ) | 154,500 (110500–211500) | 193,000 (161000–231000) | Z= − 5.48 | < 0.001 |
| PDW (fL) | 11.87 (10.43–15.51) | 14.20 (11.30–15.47) | Z= − 6.15 | < 0.001 |
Table 3 provides an overview of the baseline characteristics of the samples in dataset 2. The chi-square test results revealed no significant difference between the two groups in terms of gender. However, independent sample T-tests indicated a notable age difference between the MM and control groups. In the MM group, TP, Cr and Glo levels were higher than those in the control group, with Glo displaying the most significant difference. Conversely, compared to the control group, the MM group showed lower levels of Alb, AGR, Ca, LDH, Hb, Plt, and PDW, with the most significant difference observed in the PLT group. All clinical and laboratory parameters, except for PDW and LDH, exhibited significant differences ( p < 0.05).
Table 3 The characteristics of the validation cohort (cohort 2) Characteristics Reserch group ( n = 95) Control group ( n = 191) Statistical values p Male 69 (72.63) 144 (75.39) χ 2 = 0.16 0.671 Age (years) 68.0 ± 10.7 33.0 ± 10.1 t = 32.05 < 0.001 Alb (g/L) 32.1 (27.5–35.7) 43.20 (41.3–45.0) Z= − 12.07 < 0.001 Glo (g/L) 51.7 (34.2–73.2) 27.3 (24.7–29.8) Z = 9.964 < 0.001 TP (g/L) 84.5 (70.0–101.9) 70.6 (67.3–73.9) Z = 6.505 < 0.001 AGR 0.63 (0.36–0.99) 1.61 (1.45–1.77) Z= − 10.93 < 0.001 Ca (mmol/L) 2.25 (2.11–2.37) 2.36 (2.28–2.43) Z= − 5.486 < 0.001 Cr (mg/dL) 1.077 (0.827–1.710) 0.878 (0.755–0.972) Z = 5.617 < 0.001 LDH (U/L) 171.0 (136.0–208.0) 182.0 (159.0-210.0) Z= − 2.245 0.024 Hb (g/dL) 8.70 (7.60–10.70) 14.90 (13.90–16.10) Z= − 12.84 < 0.001 Plt (/mm 3 ) 155,000 (116000–191000) 235,000 (195000–267000) Z= − 9.23 < 0.001 PDW (fL) 13.12 (11.07-15.00) 13.10 (11.90–15.60) Z= − 1.94 0.093 Normally distributed variables are expressed as “x ± s (mean ± standard deviation),” while non-normally distributed variables are expressed as “[M(P 25 , P 75 )]” Alb Albumin, Glo Globulin, TP Total Protein , AGR Albumin to Globulin Ratio, Cr Serum Calcium, Ca Serum Calcium, Hb Hemoglobin, LDH lactate dehydrogenase, Plt Platelet Count, PDW Platelet Distribution Width.
Table 3
The characteristics of the validation cohort (cohort 2)
Normally distributed variables are expressed as “x ± s (mean ± standard deviation),” while non-normally distributed variables are expressed as “[M(P 25 , P 75 )]” Alb Albumin, Glo Globulin, TP Total Protein , AGR Albumin to Globulin Ratio, Cr Serum Calcium, Ca Serum Calcium, Hb Hemoglobin, LDH lactate dehydrogenase, Plt Platelet Count, PDW Platelet Distribution Width.
| Characteristics | Reserch group ( n = 95) | Control group ( n = 191) | Statistical values | p |
| Male | 69 (72.63) | 144 (75.39) | χ 2 = 0.16 | 0.671 |
| Age (years) | 68.0 ± 10.7 | 33.0 ± 10.1 | t = 32.05 | < 0.001 |
| Alb (g/L) | 32.1 (27.5–35.7) | 43.20 (41.3–45.0) | Z= − 12.07 | < 0.001 |
| Glo (g/L) | 51.7 (34.2–73.2) | 27.3 (24.7–29.8) | Z = 9.964 | < 0.001 |
| TP (g/L) | 84.5 (70.0–101.9) | 70.6 (67.3–73.9) | Z = 6.505 | < 0.001 |
| AGR | 0.63 (0.36–0.99) | 1.61 (1.45–1.77) | Z= − 10.93 | < 0.001 |
| Ca (mmol/L) | 2.25 (2.11–2.37) | 2.36 (2.28–2.43) | Z= − 5.486 | < 0.001 |
| Cr (mg/dL) | 1.077 (0.827–1.710) | 0.878 (0.755–0.972) | Z = 5.617 | < 0.001 |
| LDH (U/L) | 171.0 (136.0–208.0) | 182.0 (159.0-210.0) | Z= − 2.245 | 0.024 |
| Hb (g/dL) | 8.70 (7.60–10.70) | 14.90 (13.90–16.10) | Z= − 12.84 | < 0.001 |
| Plt (/mm 3 ) | 155,000 (116000–191000) | 235,000 (195000–267000) | Z= − 9.23 | < 0.001 |
| PDW (fL) | 13.12 (11.07-15.00) | 13.10 (11.90–15.60) | Z= − 1.94 | 0.093 |
Multifactor analysis
Binary logistic regression analysis, with “yes” indicating the likelihood of developing MM as the dependent variable and statistically significant ( p < 0.05) variables identified through univariate analysis as independent variables, was performed using a stepwise sampling method with inclusion and exclusion criteria of 0.05 and 0.1, respectively. The results of the binary logistic regression analysis are shown in Table 4 , which revealed that Alb, Hb, and PDW were statistically significant ( p < 0.001).
Table 4 Logistic regression analysis of Alb, Hb, and pdw to predict the occurrence of MM Characteristics B S.E. Wald p OR (95%CI) Intercept 17.403 1.996 76.037 < 0.001 Alb − 0.243 0.037 38.089 < 0.001 0.87 (0.83–0.91) Hb − 0.121 0.018 69.672 < 0.001 0.90 (0.87–0.93) PDW − 0.054 0.021 11.074 < 0.001 0.94 (0.92–0.96) Alb Albumin, Hb Hemoglobin, PDW Platelet Distribution Width
Table 4
Logistic regression analysis of Alb, Hb, and pdw to predict the occurrence of MM
Alb Albumin, Hb Hemoglobin, PDW Platelet Distribution Width
| Characteristics | B | S.E. | Wald | p | OR (95%CI) |
| Intercept | 17.403 | 1.996 | 76.037 | < 0.001 | |
| Alb | − 0.243 | 0.037 | 38.089 | < 0.001 | 0.87 (0.83–0.91) |
| Hb | − 0.121 | 0.018 | 69.672 | < 0.001 | 0.90 (0.87–0.93) |
| PDW | − 0.054 | 0.021 | 11.074 | < 0.001 | 0.94 (0.92–0.96) |
Optimal thresholds for Hb, Alb, and PDW
Through the application of the logistic regression algorithm and ROC curve analysis, the maximum Youden index for each relevant indicator was determined following multifactor screening. The optimal cutoff point for each diagnostic test indicator in MM diagnosis was established by identifying the maximum Youden index (calculated as sensitivity + specificity − 1) as the optimal threshold. Specific results can be found in Table 5 . The optimal threshold value for Hb was identified as 11.6 g/dL, with an associated area under the curve (AUC) of 0.931 (95% CI 0.905–0.956). Sensitivity, specificity, positive predictive value (PPV), and negative predictive value (NPV) were observed at 0.799, 0.943, 0.877, and 0.902, respectively.
For Alb, the optimal threshold value was determined to be 39.30, with an AUC of 0.890 (95% CI: 0.857–0.923). Sensitivity, specificity, PPV, and NPV at this threshold were found to be 0.777, 0.898, 0.794, and 0.888, respectively. It is noteworthy that the AUC for PDW was the lowest, recorded at 0.663 (95% CI: 0.615–0.710). The optimal threshold value for PDW was identified as 14.1, resulting in a high sensitivity of 0.939 but lower specificity, PPV, and NPV at 0.327, 0.415, and 0.913, respectively, across the three groups. Detailed comparisons of these indicators can be found in Table 5 and Fig. 2 A.
Table 5 Optimal cutoff values for Alb, Hb and Pdw Characteristics AUC p Cut-off Value Sensitivity Specificity Youden Index PPV NPV Model 0.960(0.942–0.978) < 0.001 0.430 0.860 0.957 0.818 0.911 0.931 Alb 0.890(0.857–0.923) < 0.001 39.30 0.777 0.898 0.674 0.794 0.888 Hb 0.931(0.905–0.956) < 0.001 11.6 0.799 0.943 0.742 0.877 0.902 PDW 0.663(0.615–0.710) < 0.001 14.10 0.939 0.327 0.265 0.415 0.913 Alb Albumin, Hb Hemoglobin, PDW Platelet Distribution Width, AUC Area Under the Curve, PPV Positive Predictive Value, NPV Negative Predictive Value
Table 5
Optimal cutoff values for Alb, Hb and Pdw
Alb Albumin, Hb Hemoglobin, PDW Platelet Distribution Width, AUC Area Under the Curve, PPV Positive Predictive Value, NPV Negative Predictive Value
| Characteristics | AUC | p | Cut-off Value | Sensitivity | Specificity | Youden Index | PPV | NPV |
| Model | 0.960(0.942–0.978) | < 0.001 | 0.430 | 0.860 | 0.957 | 0.818 | 0.911 | 0.931 |
| Alb | 0.890(0.857–0.923) | < 0.001 | 39.30 | 0.777 | 0.898 | 0.674 | 0.794 | 0.888 |
| Hb | 0.931(0.905–0.956) | < 0.001 | 11.6 | 0.799 | 0.943 | 0.742 | 0.877 | 0.902 |
| PDW | 0.663(0.615–0.710) | < 0.001 | 14.10 | 0.939 | 0.327 | 0.265 | 0.415 | 0.913 |
Construction and validation of logistic regression diagnostic model
Considering the analysis results, a logistic regression model was developed using dataset 1. Figure 2 A illustrates the ROC curve for dataset 1, where the logistic regression model employing the three variables “Hb + Alb + PDW” achieved an AUC value of 0.960 (95% CI 0.942–0.978). This model exhibited strong sensitivity (0.860), specificity (0.957), PPV of 0.911, and NPV of 0.931. The formula for the model is as follows: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:\text{l}\text{n}\left(\frac{\text{p}}{1-\text{p}}\right)\:=\:20.117\times\:\text{I}\text{n}\text{t}\:-\:2.27\times\:\text{x}1\:-\:0.089\times\:\text{x}2\:-\:0.039\times\:\text{x}3$$\end{document} ln p 1 - p = 20.117 × Int - 2.27 × x 1 - 0.089 × x 2 - 0.039 × x 3 x1 = Albumin, x2 = Hemoglobin, x3 = Platelet Distribution Width.
The calibration of the model was assessed using the Hosmer-Lemeshow (HL) test, a well-established method for evaluating the goodness of fit of a model and assessing the agreement between fitted values and observed value [ 19 ]. The result of the HL test indicated a p-value of 0.412, demonstrating that the model exhibited a good fit to the data. The model fitting results highlighted that Alb, Hb, and PDW were significant factors influencing the occurrence of multiple myeloma. Notably, lower levels of Hb, Alb, and PDW were associated with a higher likelihood of multiple myeloma. In addition to the HL test, a visual calibration curve was generated as part of the analysis. This calibration curve was constructed using the Bootstrap method. Its interpretation is as follows: If the calibration curve closely aligns with the 45°reference line, it indicates that the predicted values are in excellent agreement with the actual values. If the calibration curve lies above the reference line, it suggests that the predicted values tend to be greater than the actual values, indicating an overestimation of risk. Conversely, if the calibration curve is below the reference line, it implies an underestimation of risk [ 20 ]. For dataset 1, the calibration curve of the logistic regression model is visually represented in Fig. 2 B. This graphical representation provides further insights into the model’s performance and alignment with the observed data. Fig. 2 The ROC curve and calibration curve for development cohort. A The ROC curve for development cohort. B The calibration curve for development cohort

To further evaluate the model’s diagnostic efficacy, external validation was performed using Dataset 2. Figure 3 A illustrates the ROC curve for the logistic regression model applied to Validation Cohort, achieving an AUC of 0.979. The calibration curve for the logistic regression model applied to Validation Cohort is presented in Fig. 3 B. This finding demonstrates that the model constructed in this study exhibited high discriminative and generalization capabilities. Fig. 3 ROC curve and calibration curve for validation cohort. A The ROC curvefor validation cohort. B The calibration curve for validation cohort

Discussion
In clinical practice, the majority of MM cases originate from a precancerous condition known as monoclonal gammopathy of unknown significance (MGUS) [ 21 ]. MGUS can progress to a more advanced premalignant stage called smoldering multiple myeloma (SMM) [ 22 ]. In certain high-risk patients, MGUS and SMM may rapidly advance to symptomatic newly diagnosed multiple myeloma (NDMM) [ 23 ]. Timely identification and intervention in MGUS, SMM, and symptomatic MM patients can potentially alter their outcomes, preventing progression to relapsed and/or refractory multiple myeloma (RRMM) and its associated complications, ultimately extending overall survival [ 24 ]. The time to diagnosis thus represents a crucial factor in patient outcomes.
However, diagnosing NDMM remains a challenge, even for experienced clinicians, often necessitating collaboration among various medical disciplines (orthopedics, radiology, nuclear medicine, radiotherapy, hematology, oncology and etc.) before reaching a final diagnosis [ 25 ]. In this study, we identified a significant correlation of Alb, Hb, and PDW with the diagnosis of NDMM. Although these indicators are not mentioned in MM diagnostic guidelines, refining the optimal cutoff values for the above indicators revealed a substantial increase in the probability of diagnosing NDMM when Alb is below 39.3 g/L (3.93 g/dl), Hb is below 11.6 g/dL, and PDW is below 14.1fL. To further enhance the efficiency of early NDMM diagnosis based on these indicators, we constructed a logistic regression preliminary screening model using traditional machine learning algorithms. The results demonstrated good accuracy and generalization, effectively assisting in the initial diagnosis of NDMM.
Therefore, when MM patients present with symptoms such as back pain, pathological fractures, infections, or anemia syndromes in the outpatient setting, clinicians are recommended to perform preliminary selection of high-risk patients and utilize diagnostic models for further screening, which allows for timely intervention and specialist referrals. This approach will enhance the clinical diagnostic efficiency of MM, improve the long-term prognosis and quality of life for MM patients, and is of significant importance for the clinical diagnosis and early treatment of MM.
Anemia constitutes the initial presentation in 73% of NDMM patients, and a decrease in Hb levels exhibits notable specificity for NDMM diagnosis [ 4 ]. The underlying mechanisms contributing to low Hb levels in NDMM patients involve aberrant iron utilization, abnormally reduced serum erythropoietin levels, diminished bone marrow responsiveness to erythropoietin, hemolysis, and bone marrow infiltration [ 26 ]. In the current study, our findings suggest a substantial increase in the likelihood of MM when Hb levels fall below 11.6 g/dL, aligning with the clinical observation of anemia as an early symptom in MM patients. Research has demonstrated that reduced Hb levels serve as the sole independent cofactor associated with heightened fatigue symptoms and a decline in health-related quality of life among NDMM patients [ 27 ]. Furthermore, beyond its utility in MM diagnosis, Hb levels also emerge as an independent prognostic factor for survival in MM patients [ 28 – 30 ]. Additional studies have indicated that low Hb levels can independently elevate the risk of renal impairment in NDMM patients [ 31 , 32 ]. Consequently, clinical management often incorporates erythropoietin administration to achieve and maintain elevated Hb levels (between 11 and 12 g/dl) in a bid to enhance the prognosis and survival of NDMM patients [ 33 ]. In conclusion, the clinical screening for NDMM should vigilantly assess a patient’s Hb level. Building upon the results of this experimental study, clinicians should be attentive to individuals presenting with Hb levels below 11.6 g/dL and exhibiting symptoms of anemia.
Albumin is an important protein synthesized by human liver, which is abundant in human body, accounting for about 60% of total protein, and has special functions such as detoxification and maintaining osmotic pressure [ 34 ]. In clinical practice, Alb is often concerned by clinicians as an index reflecting the nutritional status of patients. Alb has outstanding prognostic value for MM. In some studies, Alb can be used as an independent predictor of Overall Survival (OS) and Progression-Free Survival (PFS) in MM patients [ 35 ]. Alb has been shown to be a major factor in enhancing the prognostic power of β 2 MG and is an absolutely necessary observation to identify truly low-risk MM patients [ 36 ]. Thus, β 2 -microglobulin (β 2 MG) levels and Alb levels in the International Staging System (ISS) are used to stratify and evaluate the prognosis of MM patients: Stage I, β 2 MG ≤ 3.5 mg/L, Alb ≥ 3.5 g/dL (median survival: 62 months); stage II, between stages I and III (median survival: 44 months); Stage III, β 2 MG ≥ 5.5 mg/L (median survival: 29 months) [ 13 ]. Inflammatory cytokines such as interleukin-6 (IL-6) are often secreted in the myeloma microenvironment. Studies have shown that Alb level is negatively correlated with IL-6 (the main growth and survival factor of myeloma cells) level, so MM patients often develop hypoalbuminemia [ 37 – 40 ]. In addition, Alb also has diagnostic and prognostic significance in other disciplines. For example, Alb level is closely related to renal function. It has been shown that Alb lower than 4.1 g/dL increases the risk of poor renal prognosis and decreased renal function [ 41 ]. Studies have also shown that the critical value of Alb for predicting adverse outcomes in patients with status epilepticus is 2.67 g/dL, and the concentration of Alb at admission is an independent predictor of short-term survival time in patients with status epilepticus [ 42 ]. The optimal cut-off value of Alb for the diagnosis of MM has not been indicated in related studies and guidelines. The results of our study showed that the newly diagnosed Alb level could be used as an independent diagnostic factor to predict the occurrence and development of MM, and when Alb was lower than 3.93 g/dL, the risk of MM diagnosis was greatly increased. Similar to our results, studies have also shown that Alb levels can be used to diagnose MM and fully demonstrate the clinical diagnostic value of Alb for NDMM [ 43 , 44 ].
Platelet distribution width(PDW) is an indicator reflecting changes in platelet size and is considered a marker of platelet activation, demonstrating prognostic value in coronary heart disease and certain solid organ tumors [ 45 – 47 ]. In our study, PDW emerged as an independent predictor of MM occurrence, with a significant increase in MM risk observed when PDW was below 14.1 fL. In our findings, although the PDW parameter exhibited low specificity and PPV for the diagnosis of MM patients, it demonstrated a high level of sensitivity and a relatively high NPV. In addition to MM, PDW has also been investigated in other hematological malignancies. A study from North India that reported significantly higher PDW levels in patients with chronic myeloproliferative neoplasms compared to controls [ 48 ]. In another study, PDW demonstrated excellent performance in differentiating chronic myeloproliferative neoplasms. The AUC for PDW was 0.68, indicating its diagnostic value for myeloproliferative neoplasms [ 49 ]. PDW’s diagnostic potential for myeloproliferative tumors has also been suggested in previous research. Our results, along with these findings, underscore PDW’s value as a diagnostic marker in NDMM.
Currently, apart from the three observational indicators, Alb, Hb, and PDW, identified in this study, other observational parameters and their optimal threshold values have also been proven to assist in the diagnosis and prognosis of MM. For instance, Red Cell Distribution Width (RDW) has demonstrated special diagnostic and prognostic value for MM, as elucidated by Xue et al. [ 50 ]. In their research, ROC curve analysis revealed that RDW > 13.5 exhibited a sensitivity of 94.5% and 63.7% for initial diagnosis of MM and a sensitivity of 92.3% and 63.7% for recurrent MM [ 50 ]. Additionally, studies have shown that RDW levels serve as an independent prognostic factor for MM patient survival and can predict treatment responses [ 51 , 52 ]. In a retrospective study involving 146 newly diagnosed MM patients with a median follow-up of 47 months, the normal RDW group displayed a better PFS compared to the high RDW group (24.2 months vs. 17.0 months, p = 0.029). Furthermore, multivariate analysis revealed that elevated RDW at diagnosis was an adverse prognostic factor for PFS in MM patients (HR 3.21, 95% CI 1.24–8.32) [ 53 ]. Similarly, other studies have demonstrated that pretreatment RDW levels are prognostic for MM, reflecting systemic inflammation and disease prognosis, thus making it a vital parameter for assessing treatment efficacy [ 54 ].
In addition to RDW, another diagnostic and prognostic indicator for MM is the Albumin to Globulin Ratio(AGR). A retrospective study from South Africa found that AGR can serve as a more cost-effective and readily accessible disease marker for assessing survival in MM patients [ 55 ]. In a study by Cai et al. involving MM patients with a median follow-up of 36 months, the high AGR group exhibited a significant association with improved OS and PFS. ROC curve analysis determined the optimal cutoff value for AGR to be 1.16, con-firming AGR as a potential prognostic biomarker for MM [ 56 ]. In this experiment, although we demonstrated the statistical significance of AGR for newly diagnosed MM patients through univariate analysis ( p < 0.05), the final results did not yield a conclusion that AGR can serve as a diagnostic marker for MM. The diagnostic value of AGR in MM requires further research and exploration.
Despite our study’s contributions, several limitations should be noted. Potential errors in data collection and handling of missing values may have influenced our regression analysis. However, secondary data correction and cleaning procedures were performed to minimize inaccuracies in model results. Moreover, external validation using data from other hospitals or regions is essential to confirm the model’s generalization beyond the single-center dataset employed in this study. The relatively small cohort size may have introduced bias in data collection and analysis, emphasizing the need for expanded cohorts to validate our findings.
In conclusion, our logistic regression model offers an effective tool for diagnosing suspected NDMM patients in outpatient settings, while also highlighting the diagnostic significance of Hb, Alb, and PDW. Further research is warranted to elucidate the underlying mechanisms of these markers in NDMM diagnosis.
Conclusions
This investigation substantiates that Hemoglobin (Hb), Albumin (Alb), and Platelet Distribution Width (PDW) stand as independent determinants in the diagnosis of Multiple Myeloma (MM). By ascertaining the optimal cutoff values for each diagnostic biomarker and refining the threshold ranges, this study furnishes a viable approach for non-specialist practitioners to conduct preliminary screenings of patients at their initial clinical encounters. Such an approach mitigates the risk of diagnostic oversights and inaccuracies among frontline healthcare providers. Furthermore, leveraging routine hematological and biochemical parameters, we constructed a diagnostic model for MM. This model demonstrates commendable sensitivity, accuracy, and generalization, thereby amplifying the efficacy of early MM detection in the context of initial screenings. Consequently, this research imparts valuable insights for the enhancement of MM diagnostic practices.
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Author contributions
Conceptualization, X.M.-T. and Y.R.-C.; methodology, Y.W.; software, M.N.-L.; validation, Y.P., Y.R.-C. and X.L.-S.; formal analysis, W.H. and C.Y.-S.; investigation, W.H. and C.Y.-S.; resources, Y.R.-C.; data curation, M.N.-L.; writing—original draft preparation, M.N.-L.; writing—review and editing, X.M.-T., Y.R.-C. and Y.W.; visualization, Y.W., Y.P. and X.L.-S.; supervision, X.M.-T.; project administration, Y.R.-C.; funding acquisition, X.M.-T., Y.R.-C. and X.L.-S. All authors have read and agreed to the published version of the manuscript.
Funding
This research was supported by Natural Science Foundation of Zhejiang Province (LY24H080004), Health Bureau Foundation of Zhejiang Province (2023KY479), and Chinese Traditional Medicine Administration Bureau Foundation of Zhejiang Province (2022ZQ012).
Data availability
The relevant supporting data are available from the corresponding author upon request.
Declarations
Ethics approval and consent to participate
This study received approval from the Ethics Committee of Zhejiang Province People’s Hospital, and the research was conducted in accordance with the principles outlined in the Declaration of Helsinki (Ethical approval code: QT2023281). A retrospective study was conducted on electronic medical records in this experiment, and all individuals had provided informed consent before being included in the study.
Competing interests
The authors declare no competing interests.
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