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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>Methods for evaluating fracture patterns of polycrystalline materials based on the parameter
analysis of ductile separation dimples: A review. Maruschak, P., Konovalenko, I., Sorochak,
A.Engineering Failure Analysis</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>Development of a personalized prognostic model for assessing the risk of exocrine pancreatic insufficiency in patients with chronic pancreatitis*</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Liliia Babinets</string-name>
          <email>lilyababinets@gmail.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Nataliia Botsyuk</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Iryna Halabitska</string-name>
          <email>halabitska@tdmu.edu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Nadiia Gashchyn</string-name>
          <email>gashchyn.nadia@gmail.com</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Svitlana</string-name>
          <email>konovalchuk.svitlana@tnpu.edu.ua</email>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>I. Horbachevsky Ternopil National Medical University</institution>
          ,
          <addr-line>1 Maidan Voli, Ternopil, UA46001</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Ternopil Ivan Puluj National Technical University</institution>
          ,
          <addr-line>56 Ruska St, Ternopil, UA46001</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Ternopil Volodymyr Hnatiuk National Pedagogical University</institution>
          ,
          <addr-line>2 Maksyma Kryvonosa St, Ternopil, UA46027</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2026</year>
      </pub-date>
      <volume>153</volume>
      <issue>107587</issue>
      <fpage>0000</fpage>
      <lpage>0002</lpage>
      <abstract>
        <p>Exocrine pancreatic insufficiency (EPI) is a common complication of chronic pancreatitis, significantly affecting patients' quality of life. Early identification of patients at risk is essential, particularly in primary care. Aim: To develop a personalized prognostic model for assessing the risk of EPI in middle-aged patients with chronic pancreatitis based on clinical, laboratory, and functional parameters. Methods: The study included 114 patients treated at the Ternopil Primary Health Care Center. Clinical evaluation, laboratory tests (hemoglobin, triglycerides, HbA1c), coprogram scores, abdominal ultrasound, and questionnaires (PEI-Q, GSRS) were analyzed. Multivariate regression identified predictors of reduced fecal elastase levels. Model performance was evaluated using ANOVA, diagnostic accuracy metrics, and ROC curve analysis. Results: Significant predictors included age, hemoglobin, comorbidity index, coprogram score, triglycerides, HbA1c, PEI-Q, and GSRS scores. The final model demonstrated high predictive accuracy (R² = 0.989; p &lt; 0.001), with sensitivity of 95.92%, specificity of 81.25%, and overall accuracy of 93.86%. ROC analysis confirmed strong discriminative ability. Conclusions: The proposed model reliably predicts EPI risk in chronic pancreatitis patients and can support early diagnosis and personalized treatment strategies in primary care settings.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Chronic pancreatitis</kwd>
        <kwd>Exocrine pancreatic insufficiency</kwd>
        <kwd>Fecal elastase</kwd>
        <kwd>Prognostic model</kwd>
        <kwd>Primary care</kwd>
        <kwd>Multivariate regression</kwd>
        <kwd>PEI-Q</kwd>
        <kwd>Comorbidity index</kwd>
        <kwd>Diagnostic accuracy</kwd>
        <kwd>ROC analysis</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        Chronic pancreatitis is a progressive inflammatory disease of the pancreas that leads to structural
damage and gradual loss of organ function [
        <xref ref-type="bibr" rid="ref1">1-3</xref>
        ]. One of the most common complications of chronic
pancreatitis is the development of exocrine pancreatic insufficiency (EPI), which significantly impairs
patients’ quality of life [4, 5]. Timely diagnosis and prediction of this condition remain critical
challenges in clinical practice, particularly at the level of primary health care [6, 7].
      </p>
      <p>
        Traditional methods for detecting EPI have limited sensitivity and are often applied only at
advanced stages of the disease [
        <xref ref-type="bibr" rid="ref2">8, 9</xref>
        ]. Consequently, there is a growing need for tools that enable
personalized risk assessment and early detection of functional impairments [
        <xref ref-type="bibr" rid="ref3 ref4 ref5">10-12</xref>
        ]. The development
of prognostic models based on clinical, laboratory, and functional parameters offers new opportunities
to enhance diagnostic accuracy [
        <xref ref-type="bibr" rid="ref6 ref7">13, 14</xref>
        ]. An important factor influencing the progression of EPI is
comorbidity, which complicates the course of the primary disease and may reduce the effectiveness of
treatment [
        <xref ref-type="bibr" rid="ref8 ref9">15, 16</xref>
        ]. Assessing the comorbidity index is a key component of prognostic modeling and
allows for a more nuanced understanding of individual patient risk [
        <xref ref-type="bibr" rid="ref10 ref11">17, 18</xref>
        ]. A personalized approach
to EPI prediction supports more informed treatment decisions and improves the effectiveness of
preventive strategies [19, 20]. This study aimed to develop a mathematical model for predicting fecal
elastase levels as a marker of exocrine pancreatic function. The findings may be integrated into
primary care practice to improve the quality of medical care for patients with chronic pancreatitis.
      </p>
    </sec>
    <sec id="sec-2">
      <title>2. Aim of Study</title>
      <p>The aim of the study was to develop a personalized prognostic model for assessing the risk of
exocrine pancreatic insufficiency in patients with chronic pancreatitis, based on clinical, laboratory,
and functional parameters. The proposed model is intended to enhance the effectiveness of early
detection of exocrine pancreatic dysfunction and support informed decision-making regarding further
treatment and prevention in primary care practice.</p>
    </sec>
    <sec id="sec-3">
      <title>3. Materials and Methods</title>
      <p>The study was conducted at the Ternopil Primary Health Care Center. A total of 114 middle-aged
patients diagnosed with chronic pancreatitis participated in the study. Written informed consent was
obtained from all participants. The study protocol was approved by the local ethics committee.</p>
      <p>A comprehensive clinical evaluation included physical examination, laboratory blood tests
(hemoglobin, HbA1c, triglycerides), coprological assessment using a scoring system, abdominal
ultrasound, and completion of the PEI-Q (to assess exocrine pancreatic insufficiency) and GSRS (to
evaluate dyspeptic symptoms) questionnaires.</p>
      <p>The key variables incorporated into the regression model for predicting fecal α-elastase levels
included: patient age (X₁), hemoglobin level (X₂), comorbidity index (X₃), coprogram score (X₄),
triglyceride level (X₅), HbA1c (X₆), PEI-Q score (X₇), and GSRS score (X₈).</p>
      <p>Statistical analysis was performed using SPSS software, version 26.0. A multivariate regression
analysis was applied to construct the predictive model. Model performance was evaluated through
analysis of variance (ANOVA), assessment of operational characteristics (sensitivity, specificity,
positive predictive value, negative predictive value, and overall accuracy), as well as receiver operating
characteristic (ROC) curve analysis with calculation of the area under the curve (AUC).</p>
    </sec>
    <sec id="sec-4">
      <title>4. Results and discussion</title>
      <p>A multivariate regression analysis (Table 1) was conducted to identify the most significant
predictors of decreased fecal α-elastase levels in middle-aged patients suffering from chronic
pancreatitis. The results of the analysis demonstrated no statistically significant correlation between
serum albumin levels and fecal α-elastase levels. Consequently, this variable was excluded from the
development of the regression model for predicting fecal α-elastase levels in the specified patient
cohort.</p>
      <p>A subsequent multivariate regression analysis allowed for the identification of the most statistically
significant predictors associated with reduced fecal α-elastase levels in middle-aged patients with
chronic pancreatitis. Based on the obtained data, regression coefficients were determined to construct a
predictive regression model (Table 2).</p>
      <sec id="sec-4-1">
        <title>Multivariate Regression Analysis Variable (n=114)</title>
      </sec>
      <sec id="sec-4-2">
        <title>Constant Age</title>
      </sec>
      <sec id="sec-4-3">
        <title>Hemoglobin</title>
      </sec>
      <sec id="sec-4-4">
        <title>Comorbidity Index</title>
      </sec>
      <sec id="sec-4-5">
        <title>Coprogram</title>
      </sec>
      <sec id="sec-4-6">
        <title>Triglycerides (TG) HbA1c</title>
      </sec>
      <sec id="sec-4-7">
        <title>Albumin PEI-Q</title>
      </sec>
      <sec id="sec-4-8">
        <title>GSRS (Dyspepsia Syndrome) Variable (n=114)</title>
      </sec>
      <sec id="sec-4-9">
        <title>Constant Age</title>
      </sec>
      <sec id="sec-4-10">
        <title>Hemoglobin</title>
      </sec>
      <sec id="sec-4-11">
        <title>Comorbidity Index</title>
      </sec>
      <sec id="sec-4-12">
        <title>Coprogram</title>
      </sec>
      <sec id="sec-4-13">
        <title>Triglycerides (TG)</title>
        <p>Beta
522.221
-0.054
-1.749
-0.195
-1.082
-1.513
-12.052
0.045
-61.885
-1.220</p>
        <p>Beta
519.815
-0.053
-1.725
-1.116
-1.043</p>
      </sec>
      <sec id="sec-4-14">
        <title>GSRS (Dyspepsia Syndrome) -11.658 -62.935 -1.212</title>
        <p>As a result of the conducted multivariate regression analysis, the following predictive model was
developed:
Y = 519.815 − 0.053X₁ − 1.725X₂ − 1.116X₃ − 1.043X₄ − 1.624X₅ − 11.658X₆ − 62.935X₇ − 1.212X₈
(R = 0.995; R² = 0.989; p &lt; 0.05)</p>
        <p>Where:








</p>
      </sec>
      <sec id="sec-4-15">
        <title>Y – fecal α-elastase level; X₁ – age;</title>
      </sec>
      <sec id="sec-4-16">
        <title>X₂ – hemoglobin;</title>
      </sec>
      <sec id="sec-4-17">
        <title>X₃ – comorbidity index;</title>
      </sec>
      <sec id="sec-4-18">
        <title>X₄ – coprogram;</title>
      </sec>
      <sec id="sec-4-19">
        <title>X₅ – triglycerides (TG); X₆ – HbA1c; X₇ – PEI-Q;</title>
      </sec>
      <sec id="sec-4-20">
        <title>X₈ – GSRS (dyspepsia syndrome).</title>
        <p>The results of the ANOVA confirmed a high level of statistical significance (p &lt; 0.001), validating
the regression model's predictive accuracy for fecal α-elastase levels in middle-aged patients with
chronic pancreatitis. This indicates that the model performs more precisely than using average
predictor values alone (Table 3). The analysis of the coefficient of determination (R² = 0.995) further
substantiates the high precision of the developed regression model, confirming its adequacy for
forecasting fecal α-elastase levels in this specific patient population.</p>
        <p>To evaluate the adequacy of the developed predictive model, an analysis of operational
characteristics was conducted, including true positives, false negatives, false positives, and true
negatives. These indicators were determined by applying logistic regression to the positive and
negative outcomes in accordance with the predictive model, using contingency tables for detailed data
analysis (Table 4).</p>
        <p>The analysis of operational characteristics of the developed regression model for predicting fecal
αelastase levels in middle-aged patients with chronic pancreatitis enabled the calculation of aggregated
performance indicators (Table 5). A high level of accuracy was found across all investigated
operational metrics, confirming the robustness and adequacy of the model for this patient category.</p>
        <p>Note: Se – Sensitivity; Sp – Specificity; PPV – Positive Predictive Value; NPV – Negative Predictive
Value; Acc – Accuracy.</p>
        <p>To assess the predictive value of the developed regression model for forecasting fecal α-elastase
levels in middle-aged patients with chronic pancreatitis, a ROC analysis was performed. Based on the
generated ROC curves and AUC indicators, a thorough evaluation of model quality was carried out
(Figure 1).</p>
        <p>ROC analysis demonstrated a high diagnostic value of age in relation to fecal α-elastase levels (AUC
= 0.930, p &lt; 0.001) (Figure 1). This indicates a strong association between increasing age and reduced
exocrine pancreatic function. These findings highlight the prognostic significance of age as a risk
factor for exocrine insufficiency.</p>
        <p>Вік</p>
        <p>ROC analysis demonstrated an excellent diagnostic value of hemoglobin in relation to fecal
αelastase levels (AUC = 0.973, p &lt; 0.001) (Figure 2). This finding indicates a very strong association
between hemoglobin concentration and exocrine pancreatic function. These results emphasize the
prognostic importance of hemoglobin as a potential marker of exocrine insufficiency.
y
t
i
v
i
t
i
s
n
e
S</p>
        <p>AUC = 0,973</p>
        <p>P &lt; 0,001
0
20
40
60
80</p>
        <p>100
100-Specificity</p>
        <p>AUC = 0,811</p>
        <p>P &lt; 0,001
0
20
40
60
80</p>
        <p>100
100-Specificity</p>
        <p>ROC analysis demonstrated a good diagnostic value of the comorbidity index in relation to fecal
αelastase levels (AUC = 0.811, p &lt; 0.001) (Figure 3). This indicates a significant association between
higher comorbidity burden and impaired exocrine pancreatic function. These findings suggest the
comorbidity index as an important predictor of exocrine insufficiency.</p>
        <p>Ідекс коморбідності</p>
        <p>ROC analysis revealed a good diagnostic performance of the coprogram result in relation to fecal
αelastase levels (AUC = 0.811, p &lt; 0.001) (Figure 4). The data suggest a significant link between
abnormal coprogram findings and impaired exocrine pancreatic activity. These outcomes underline the
utility of coprogram evaluation as a supplementary marker of exocrine insufficiency.</p>
        <p>ROC analysis demonstrated a satisfactory diagnostic value of triglyceride levels in relation to fecal
α-elastase (AUC = 0.760, p = 0.012) (Figure 5). This finding indicates a moderate association between
elevated triglycerides and impaired exocrine pancreatic function. These results point to triglyceride
concentration as a potential auxiliary marker of exocrine insufficiency.</p>
        <p>AUC = 0,811</p>
        <p>P &lt; 0,001
0
20</p>
        <p>40 60
100-Specificity
80</p>
        <p>100
ТГ</p>
        <p>AUC = 0,760</p>
        <p>P = 0,012
0
20
80</p>
        <p>100
0
20</p>
        <p>AUC = 0,915
P &lt; 0,001
80</p>
        <p>100</p>
        <p>ROC analysis revealed a strong diagnostic performance of HbA1c in relation to fecal α-elastase
levels (AUC = 0.915, p &lt; 0.001) (Figure 6). The results demonstrate a clear association between higher
HbA1c values and diminished exocrine pancreatic function. These data emphasize the relevance of</p>
      </sec>
      <sec id="sec-4-21">
        <title>HbA1c as a predictive marker of exocrine insufficiency.</title>
        <p>ROC analysis indicated a robust diagnostic value of the PEI-Q score for predicting fecal α-elastase
levels (AUC = 0.871, p = 0.002) (Figure 7). The data demonstrate a clear association between higher
PEI-Q scores and decreased exocrine pancreatic function. These results underscore the utility of the
PEI-Q score as an effective predictor of exocrine insufficiency.</p>
        <p>100</p>
        <p>80
ty 60
iiit
v
s
n
eS 40
20</p>
        <p>0
100
80
iiitty 60
v
s
n
e
S 40
20
0</p>
        <p>HbA1c</p>
        <p>AUC = 0,871
P = 0,002
80</p>
        <p>100</p>
        <p>ROC analysis demonstrated a good diagnostic value of the GSRS (Dyspepsia Syndrome) score in
relation to fecal α-elastase levels (AUC = 0.844, p &lt; 0.001) (Figure 8). This indicates a significant
association between higher dyspepsia scores and impaired exocrine pancreatic function. These findings
support the GSRS (Dyspepsia Syndrome) score as a useful predictor of exocrine insufficiency.</p>
        <p>GSRS (синдром диспепсії)
100
80
iiitty 60
v
s
n
eS 40
20
0
0
20</p>
        <p>AUC = 0,844
P &lt; 0,001
80</p>
        <p>100</p>
        <p>Based on the generated ROC curves and AUC indicators, a thorough evaluation of model quality
was carried out. The results confirmed a high level of accuracy in prediction across all predictors based
on the AUC values (Table 6).</p>
        <p>Note: AUC – Area Under the Receiver Operating Characteristic Curve.</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. Conclusion</title>
      <p>The study successfully developed and validated a personalized prognostic model for evaluating the risk
of exocrine pancreatic insufficiency in middle-aged patients with chronic pancreatitis, based on
clinical, laboratory, and functional indicators. The multivariate regression model demonstrated a high
predictive capacity (R² = 0.989; p &lt; 0.001), with statistically significant contributions from variables</p>
      <sec id="sec-5-1">
        <title>GSRS</title>
        <p>(Dyspepsia</p>
      </sec>
      <sec id="sec-5-2">
        <title>Synd</title>
        <p>rome)
such as age, hemoglobin level, comorbidity index, coprogram score, triglyceride level, HbA1c, PEI-Q
score, and GSRS score.</p>
        <p>The model exhibited strong diagnostic performance, with high sensitivity (95.92%), specificity
(81.25%), positive predictive value (96.91%), and overall accuracy (93.86%). ROC curve analysis further
confirmed the model’s high diagnostic power across all included predictors.</p>
        <p>These findings underscore the clinical value of the developed model as an effective tool for early
detection of exocrine pancreatic dysfunction in patients with chronic pancreatitis. Its integration into
primary care practice may enhance diagnostic accuracy, facilitate timely therapeutic decisions, and
improve prevention strategies tailored to individual patient risk profiles.</p>
      </sec>
    </sec>
    <sec id="sec-6">
      <title>Declaration on Generative AI</title>
      <sec id="sec-6-1">
        <title>The author(s) have not employed any Generative AI tools.</title>
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      </sec>
    </sec>
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