{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,14]],"date-time":"2025-10-14T00:43:41Z","timestamp":1760402621522,"version":"build-2065373602"},"reference-count":27,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2021,4,9]],"date-time":"2021-04-09T00:00:00Z","timestamp":1617926400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>By assimilating biological systems, both structural and functional, into multifractal objects, their behavior can be described in the framework of the scale relativity theory, in any of its forms (standard form in Nottale\u2019s sense and\/or the form of the multifractal theory of motion). By operating in the context of the multifractal theory of motion, based on multifractalization through non-Markovian stochastic processes, the main results of Nottale\u2019s theory can be generalized (specific momentum conservation laws, both at differentiable and non-differentiable resolution scales, specific momentum conservation law associated with the differentiable\u2013non-differentiable scale transition, etc.). In such a context, all results are explicated through analyzing biological processes, such as acute arterial occlusions as scale transitions. Thus, we show through a biophysical multifractal model that the blocking of the lumen of a healthy artery can happen as a result of the \u201cstopping effect\u201d associated with the differentiable-non-differentiable scale transition. We consider that blood entities move on continuous but non-differentiable (multifractal) curves. We determine the biophysical parameters that characterize the blood flow as a Bingham-type rheological fluid through a normal arterial structure assimilated with a horizontal \u201cpipe\u201d with circular symmetry. Our model has been validated based on experimental clinical data.<\/jats:p>","DOI":"10.3390\/e23040444","type":"journal-article","created":{"date-parts":[[2021,4,9]],"date-time":"2021-04-09T10:05:21Z","timestamp":1617962721000},"page":"444","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Multifractality through Non-Markovian Stochastic Processes in the Scale Relativity Theory. Acute Arterial Occlusions as Scale Transitions"],"prefix":"10.3390","volume":"23","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1007-3022","authenticated-orcid":false,"given":"Nicolae Dan","family":"Tesloianu","sequence":"first","affiliation":[{"name":"Cardiology Department, \u201cSf. Spiridon\u201d University Hospital, 700111 Iasi, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lucian","family":"Dobreci","sequence":"additional","affiliation":[{"name":"Department of Physical and Occupational Therapy, \u201cVasileAlecsandri\u201d University of Bacau, 600115 Bacau, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Vlad","family":"Ghizdovat","sequence":"additional","affiliation":[{"name":"Biophysics and Medical Physics Department, Faculty of Medicine, \u201cGrigore T. Popa\u201d University of Medicine and Pharmacy, 16 University Str., 700115 Iasi, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Andrei","family":"Zala","sequence":"additional","affiliation":[{"name":"Municipal Emergency Hospital Moine\u015fti, 1 Zorilor Street, 605400 Moine\u0219ti, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Adrian Valentin","family":"Cotirlet","sequence":"additional","affiliation":[{"name":"Department of Physical and Occupational Therapy, \u201cVasileAlecsandri\u201d University of Bacau, 600115 Bacau, Romania"},{"name":"Municipal Emergency Hospital Moine\u015fti, 1 Zorilor Street, 605400 Moine\u0219ti, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alina","family":"Gavrilut","sequence":"additional","affiliation":[{"name":"Faculty of Mathematics, \u201cAlexandru Ioan Cuza\u201d University, Carol I Bd., No. 11, 700506 Iasi, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Maricel","family":"Agop","sequence":"additional","affiliation":[{"name":"Physics Department, \u201cGheorghe Asachi\u201d Technical University, Prof. dr. docent Dimitrie Mangeron Rd., No. 59A, 700050 Iasi, Romania"},{"name":"Academy of Romanian Scientists, 54 Splaiul Independentei, Sector 5, 050094 Bucuresti, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Decebal","family":"Vasincu","sequence":"additional","affiliation":[{"name":"Biophysics Department, Faculty of Dental Medicine, \u201cGrigore T. Popa\u201d University of Medicine and Pharmacy, 16 University Str., 700115 Iasi, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Igor","family":"Nedelciuc","sequence":"additional","affiliation":[{"name":"Institute of Cardiovascular Disease \u201cG.I.M. Georgescu\u201d, 700503 Iasi, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Cristina Marcela","family":"Rusu","sequence":"additional","affiliation":[{"name":"Physics Department, \u201cGheorghe Asachi\u201d Technical University, Prof. dr. docent Dimitrie Mangeron Rd., No. 59A, 700050 Iasi, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Irina Iuliana","family":"Costache","sequence":"additional","affiliation":[{"name":"Cardiology Department, \u201cSf. Spiridon\u201d University Hospital, 700111 Iasi, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,4,9]]},"reference":[{"key":"ref_1","unstructured":"Kucaba-Pi\u0119tal, A. (2005, January 20\u201323). Blood as Complex Fluid, Flow of Suspensions. Proceedings of the Blood Flow-Modelling and Diagnostics: Advanced Course and Workshop-BF 2005, Warsaw, Poland."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Fung, Y.C. (1996). Biomechanics: Circulation, Springer.","DOI":"10.1007\/978-1-4757-2696-1"},{"key":"ref_3","unstructured":"Guyton, A.C., and Hall, J.E. (1996). Textbook of Medical Physiology, W.B. Sanders Company. [9th ed.]."},{"key":"ref_4","unstructured":"Munson, B.R., Young, D.F., and Okhshi, T.H. (1998). Fundamentals of Fluid Mechanics, Wiley."},{"key":"ref_5","unstructured":"Bar-Yam, Y. (1997). Dynamics of Complex Systems, Addison-Wesley. 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