Establishing the relationship between the growth stage of a pituitary tumor and visual functions using the area of the zone of chiasmal pressure from the tumor
DOI:
https://doi.org/10.31288/Ukr.j.ophthalmol.202616370Keywords:
mathematical modeling, 3D modeling, pituitary adenoma, compressive optic neuropathy, optic chiasm, surface pressure area, optic neuropathyAbstract
Purpose: To develop a mathematical model of chiasmal compression using a computer model of the area of surface pressure from the tumor.
Material and Methods: We reviewed the medical records of 361 patients treated for compressive optic neuropathy due to pituitary adenoma (PA) at SI “Romodanov Neurosurgery Institute, NAMS of Ukraine” in 2018-2024. Patients underwent clinical neurological and ophthalmological examinations, magnetic resonance imaging (MRI), computed tomography (CT) and functional studies. Mathematical modeling was done in cooperation with the Department of Software Engineering in Energy Industry, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”. The study was based on modeling and statistical analysis.
Results: Patients (54.7% were women and 45.3% were men; mean age, 54.3 ± 12.5 years) were divided into 3 groups: group 1, early stage (small PAs, n = 115), group 2, moderately advanced stage (moderate-size PAs, n = 157), and group 3, advanced stage (giant PAs, n = 89). The difference between groups was statistically significant (p < 0.05). The study has confirmed the efficacy of using both CT and MRI for assessing tumor size. A mathematical model (z = 377.38 + 122.19x – 2.25y – 77.74x² – 2.91xy + 0,02y²) was developed for predicting the area of pressure zone from a PA. Critical thresholds of the area of the zone of chiasmal pressure from a PA were determined. An especially abrupt decline in retinal nerve fiber layer (RNFL) thickness was noted as pressure zone area (PZA) exceeded 200 conventional units (CU), and the worst visual acuity (VA; 0.42) and RNFL thickness (40 µm) values were noted for a PZA of 300 CU.
Conclusion: The model proposed has some substantial advantages compared to those developed previously. It is based on a complex approach that combines clinical data from various diagnostic modalities with mathematical modeling. This allows taking in account multiple parameters such as PZA, VA and RNFL thickness. High model fitness (R² = 0.9910) and clear correlations between parameters provide for a reliable prediction of the PZA. This has an important practical value for detecting the pathology and planning the treatment strategy early.
References
1. Wang EW, Gardner PA, Zanation AM. International consensus statement on endoscopic skull-base surgery: executive summary. Int Forum Allergy Rhinol. 2019;9(S3):S127-S144. https://doi.org/10.1002/alr.22327
2. Asa SL, Mete O, Perry A, Osamura RY. Overview of the 2022 WHO Classification of Pituitary Tumors. Endocr Pathol. 2022;33(1):6-26. https://doi.org/10.1007/s12022-022-09703-7
3. Rutkowski MJ, Chang KE, Cardinal T, et al. Development and clinical validation of a grading system for pituitary adenoma consistency. J Neurosurg. 2020;134(6):1800-1807. Published 2020 Jun 5. https://doi.org/10.3171/2020.4.JNS193288
4. Westall SJ, Aung ET, Kejem H, Daousi C, Thondam SK. Management of pituitary incidentalomas. Clin Med (Lond). 2023;23(2):129-134.https://doi.org/10.7861/clinmed.2023-0020
5. Mete O, Cintosun A, Pressman I, Asa SL. Epidemiology and biomarker profile of pituitary adenohypophysial tumors. Mod Pathol. 2018;31(6):900-909. https://doi.org/10.1038/s41379-018-0016-8
6. Fleseriu M, Biller BMK, Freda PU, et al. A Pituitary Society update to acromegaly management guidelines. Pituitary. 2021;24(1):1-13. https://doi.org/10.1007/s11102-020-01091-7
7. Ntali G, Wass JA. Epidemiology, clinical presentation and diagnosis of non-functioning pituitary adenomas. Pituitary. 2018;21(2):111-118. https://doi.org/10.1007/s11102-018-0869-3
8. Mooney MA, Hardesty DA, Sheehy JP, et al. Rater Reliability of the Hardy Classification for Pituitary Adenomas in the Magnetic Resonance Imaging Era. J Neurol Surg B Skull Base. 2017;78(5):413-418. https://doi.org/10.1055/s-0037-1603649
9. Mattogno PP, Zoli M, D'Alessandris QG, et al. Ultra-Early Treatment of Neurosurgical Emergencies with Endoscopic Endonasal Approach: Experience from Three Italian Referral Centers. J Clin Med. 2023;12(17):5471. Published 2023 Aug 23. https://doi.org/10.3390/jcm12175471
10. Danesh-Meyer HV, Yoon JJ, Lawlor M, Savino PJ. Visual loss and recovery in chiasmal compression. Prog Retin Eye Res. 2019;73:100765. https://doi.org/10.1016/j.preteyeres.2019.06.001
11. McIlwaine GG, Carrim ZI, Lueck CJ, Chrisp TM. A mechanical theory to account for bitemporal hemianopia from chiasmal compression. J Neuroophthalmol. 2005;25(1):40-43. https://doi.org/10.1097/00041327-200503000-00011
12. Kosmorsky GS, Dupps WJ Jr, Drake RL. Nonuniform pressure generation in the optic chiasm may explain bitemporal hemianopsia. Ophthalmology. 2008;115(3):560-565. https://doi.org/10.1016/j.ophtha.2007.07.004
13. Wang X, Neely AJ, McIlwaine GG, Lueck CJ. Multi-scale analysis of optic chiasmal compression by finite element modelling. J Biomech. 2014;47(10):2292-2299. https://doi.org/10.1016/j.jbiomech.2014.04.040
14. Wang X, Neely AJ, McIlwaine GG, Tahtali M, Lillicrap TP, Lueck CJ. Finite element modeling of optic chiasmal compression. J Neuroophthalmol. 2014;34(4):324-330. https://doi.org/10.1097/WNO.0000000000000145
15. Wang X, Neely AJ, McIlwaine GG, Lueck CJ. Biomechanics of chiasmal compression: sensitivity of the mechanical behaviors of nerve fibers to variations in material property and geometry. Int J Comput Methods Eng Sci Mech 2016;17: 165-71. https://doi.org/10.1080/15502287.2015.1084069
16. Wang X, Neely AJ, Neeranjali S. Jain, Swaranjali V. Jain, Sanjiv Jain, Murat Tahtali, Gawn G. McIlwaine, Lueck CJ. Biomechanics of human optic chiasmal compression: ex vivo experiment and finite element modelling. Medicine in Novel Technology and Devices. 2022; 13:100113. https://doi.org/10.1016/j.medntd.2021.100113
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 Iegorova K. S., Guk M. O., Ukrainets O. V.

This work is licensed under a Creative Commons Attribution 4.0 International License.
This work is licensed under a Creative Commons Attribution 4.0 International (CC BY 4.0) that allows users to read, download, copy, distribute, print, search, or link to the full texts of the articles, or use them for any other lawful purpose, without asking prior permission from the publisher or the author as long as they cite the source.
COPYRIGHT NOTICE
Authors who publish in this journal agree to the following terms:
- Authors hold copyright immediately after publication of their works and retain publishing rights without any restrictions.
- The copyright commencement date complies the publication date of the issue, where the article is included in.
DEPOSIT POLICY
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) during the editorial process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work with an acknowledgement of its initial publication in this journal.
- Post-print (post-refereeing manuscript version) and publisher's PDF-version self-archiving is allowed.
- Archiving the pre-print (pre-refereeing manuscript version) not allowed.








