{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,2]],"date-time":"2026-01-02T07:46:02Z","timestamp":1767339962473,"version":"build-2065373602"},"reference-count":53,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2023,12,6]],"date-time":"2023-12-06T00:00:00Z","timestamp":1701820800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computation"],"abstract":"<jats:p>This study examined the effects of minimal, maximal and conventional running footwear on tibial strains and stress fracture probability using finite element and probabilistic analyses. The current investigation examined fifteen males running in three footwear conditions (minimal, maximal and conventional). Kinematic data were collected during overground running at 4.0 m\/s using an eight-camera motion-capture system and ground reaction forces using a force plate. Tibial strains were quantified using finite element modelling and stress fracture probability calculated via probabilistic modelling over 100 days of running. Ninetieth percentile tibial strains were significantly greater in minimal (4681.13 \u03bc\u03b5) (p &lt; 0.001) and conventional (4498.84 \u03bc\u03b5) (p = 0.007) footwear compared to maximal (4069.65 \u03bc\u03b5). Furthermore, tibial stress fracture probability was significantly greater in minimal footwear (0.22) (p = 0.047) compared to maximal (0.15). The observations from this investigation show that compared to minimal footwear, maximal running shoes appear to be effective in attenuating runners\u2019 likelihood of developing a tibial stress fracture.<\/jats:p>","DOI":"10.3390\/computation11120248","type":"journal-article","created":{"date-parts":[[2023,12,6]],"date-time":"2023-12-06T03:48:41Z","timestamp":1701834521000},"page":"248","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Effects of Running in Minimal, Maximal and Conventional Footwear on Tibial Stress Fracture Probability: An Examination Using Finite Element and Probabilistic Analyses"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2231-3732","authenticated-orcid":false,"given":"Jonathan","family":"Sinclair","sequence":"first","affiliation":[{"name":"Research Centre for Applied Sport, Physical Activity and Performance, School of Health, Social Work & Sport, University of Central Lancashire, Lancashire PR1 2HE, UK"}]},{"given":"Paul John","family":"Taylor","sequence":"additional","affiliation":[{"name":"School of Psychology and Humanities, University of Central Lancashire, Lancashire PR1 2HE, UK"}]}],"member":"1968","published-online":{"date-parts":[[2023,12,6]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"472","DOI":"10.1016\/j.jacc.2014.04.058","article-title":"Leisure-Time Running Reduces all-Cause and Cardiovascular Mortality Risk","volume":"64","author":"Lee","year":"2014","journal-title":"J. Am. Coll. Cardiol."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1162","DOI":"10.3389\/fpsyg.2021.624783","article-title":"Systematic Review of Psychological and Behavioral Correlates of Recreational Running","volume":"12","author":"Pereira","year":"2021","journal-title":"Front. Psychol."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"469","DOI":"10.1136\/bjsm.2006.033548","article-title":"Incidence and determinants of lower extremity running injuries in long distance runners: A systematic review","volume":"41","author":"Siem","year":"2007","journal-title":"Br. J. Sports Med."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1186\/s13018-018-1017-5","article-title":"Overuse injuries in sport: A comprehensive overview","volume":"13","author":"Aicale","year":"2018","journal-title":"J. Orthop. Surg. Res."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1097\/RMR.0b013e3180421c8c","article-title":"Stress fractures in athletes","volume":"17","author":"Fredericson","year":"2006","journal-title":"Top Magn Reson Imaging."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"323","DOI":"10.1249\/01.mss.0000183477.75808.92","article-title":"Biomechanical Factors Associated with Tibial Stress Fracture in Female Runners","volume":"38","author":"Milner","year":"2006","journal-title":"Med. Sci. Sports Exerc."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1136\/bjsm.36.2.95","article-title":"A retrospective case-control analysis of 2002 running injuries","volume":"36","author":"Ryan","year":"2002","journal-title":"Br. J. Sports Med."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"806","DOI":"10.1016\/j.bone.2004.05.014","article-title":"Stress fracture injury in young military men and women","volume":"35","author":"Armstrong","year":"2004","journal-title":"Bone"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"242","DOI":"10.5312\/wjo.v8.i3.242","article-title":"Lower limb stress fractures in sport: Optimising their management and outcome","volume":"8","author":"Robertson","year":"2017","journal-title":"World J. Orthop."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1093\/bmb\/ldv006","article-title":"Return to sports after stress fractures of the tibial diaphysis: A systematic review","volume":"114","author":"Robertson","year":"2015","journal-title":"Br. Med. Bull."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1080\/00140139.2016.1208848","article-title":"Musculoskeletal disorders as a fatigue failure process: Evidence, implications and research needs","volume":"60","author":"Gallagher","year":"2017","journal-title":"Ergonomics"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1016\/0021-9290(94)00156-1","article-title":"Cyclic mechanical property degradation during fatigue loading of cortical bone","volume":"29","author":"Pattin","year":"1996","journal-title":"J. Biomech."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"321","DOI":"10.1016\/8756-3282(90)90087-F","article-title":"Long-term fatigue behavior of compact bone at low strain magnitude and rate","volume":"11","author":"Schaffler","year":"1990","journal-title":"Bone"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"481","DOI":"10.3109\/17453678108992136","article-title":"Fatigue Behavior of Adult Cortical Bone: The Influence of Mean Strain and Strain Range","volume":"52","author":"Carter","year":"1981","journal-title":"Acta Orthop."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1016\/S0021-9290(98)00016-5","article-title":"Does microdamage accumulation affect the mechanical properties of bone?","volume":"31","author":"Burr","year":"1998","journal-title":"J. Biomech."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1016\/0021-9290(72)90053-X","article-title":"Mechanical influences in bone remodeling. Experimental research on Wolff\u2019s law","volume":"5","author":"Chamay","year":"1972","journal-title":"J. Biomech."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1016\/0021-9290(85)90204-0","article-title":"Bone remodeling in response to in vivo fatigue microdamage","volume":"18","author":"Burr","year":"1985","journal-title":"J. Biomech."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"982","DOI":"10.1359\/jbmr.1997.12.6.982","article-title":"Strain gradients correlate with sites of periosteal bone formation","volume":"12","author":"Gross","year":"1997","journal-title":"J. Bone Miner. Res."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1080\/19424280.2016.1142003","article-title":"The influence of minimalist and maximalist footwear on the kinetics and kinematics of running","volume":"8","author":"Sinclair","year":"2016","journal-title":"Footwear Sci."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1186\/s13047-015-0094-5","article-title":"A consensus definition and rating scale for minimalist shoes","volume":"8","author":"Esculier","year":"2015","journal-title":"J. Foot Ankle Res."},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Zandbergen, M.A., Ter Wengel, X.J., van Middelaar, R.P., Buurke, J.H., Veltink, P.H., and Reenalda, J. (2023). Peak tibial acceleration should not be used as indicator of tibial bone loading during running. Sports Biomech., 1\u201318.","DOI":"10.1080\/14763141.2022.2164345"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"13","DOI":"10.3920\/CEP13004","article-title":"A comparison of several barefoot inspired footwear models in relation to barefoot and conventional running footwear","volume":"9","author":"Sinclair","year":"2013","journal-title":"Comp. Exerc. Physiol."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1016\/j.jsams.2019.08.008","article-title":"Differences in running biomechanics between a maximal, traditional, and minimal running shoe","volume":"23","author":"Hannigan","year":"2020","journal-title":"J. Sci. Med. Sport"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"1083","DOI":"10.1080\/17461391.2018.1472298","article-title":"Does maximalist footwear lower impact loading during level ground and downhill running?","volume":"18","author":"Chan","year":"2018","journal-title":"Eur. J. Sport Sci."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"2177","DOI":"10.1249\/MSS.0b013e3181a984c4","article-title":"Effects of Stride Length and Running Mileage on a Probabilistic Stress Fracture Model","volume":"41","author":"Edwards","year":"2009","journal-title":"Med. Sci. Sports Exerc."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"372","DOI":"10.1016\/j.clinbiomech.2010.01.001","article-title":"Effects of running speed on a probabilistic stress fracture model","volume":"25","author":"Edwards","year":"2010","journal-title":"Clin. Biomech."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1080\/19424280.2021.1892834","article-title":"Effects of running in minimal, maximal and traditional running shoes: A musculoskeletal simulation exploration using statistical parametric mapping and Bayesian analyses","volume":"13","author":"Sinclair","year":"2021","journal-title":"Footwear Sci."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1016\/0268-0033(95)91394-T","article-title":"Position and orientation in space of bones during movement: Anatomical frame definition and determination","volume":"10","author":"Cappozzo","year":"1995","journal-title":"Clin. Biomech."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"25","DOI":"10.2478\/hukin-2013-0065","article-title":"Digital Filtering of Three-Dimensional Lower Extremity Kinematics: An Assessment","volume":"39","author":"Sinclair","year":"2013","journal-title":"J. Hum. Kinet."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"1318","DOI":"10.1016\/j.jbiomech.2015.01.029","article-title":"Tradeoffs between impact loading rate, vertical impulse and effective mass for walkers and heel strike runners wearing footwear of varying stiffness","volume":"48","author":"Addison","year":"2015","journal-title":"J. Biomech."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"531","DOI":"10.1038\/nature08723","article-title":"Foot strike patterns and collision forces in habitually barefoot versus shod runners","volume":"463","author":"Lieberman","year":"2010","journal-title":"Nature"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"1387","DOI":"10.1016\/j.jbiomech.2004.06.020","article-title":"Mechanical energy and effective foot mass during impact loading of walking and running","volume":"38","author":"Chi","year":"2005","journal-title":"J. Biomech."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"1196","DOI":"10.1080\/02640414.2014.989534","article-title":"Acute effect of different minimalist shoes on foot strike pattern and kinematics in rearfoot strikers during running","volume":"33","author":"Squadrone","year":"2014","journal-title":"J. Sports Sci."},{"key":"ref_34","doi-asserted-by":"crossref","unstructured":"Sinclair, J., Huang, G., Taylor, P.J., Chockalingam, N., and Fan, Y. (2022). Effects of Running in Minimal and Conventional Footwear on Medial Tibiofemoral Cartilage Failure Probability in Habitual and Non-Habitual Users. J. Clin. Med., 11.","DOI":"10.3390\/jcm11247335"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"644","DOI":"10.1016\/j.jbiomech.2014.12.049","article-title":"How tibiofemoral alignment and contact locations affect predictions of medial and lateral tibiofemoral contact forces","volume":"48","author":"Lerner","year":"2015","journal-title":"J. Biomech."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"1940","DOI":"10.1109\/TBME.2007.901024","article-title":"OpenSim: Open-Source Software to Create and Analyze Dynamic Simulations of Movement","volume":"54","author":"Delp","year":"2007","journal-title":"IEEE Trans. Biomed. Eng."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"556","DOI":"10.1016\/j.gaitpost.2011.11.023","article-title":"Compressive tibiofemoral force during crouch gait","volume":"35","author":"Steele","year":"2012","journal-title":"Gait Posture"},{"key":"ref_38","first-page":"239","article-title":"Resultant and local loading in models of joint disease","volume":"49","author":"Herzog","year":"2003","journal-title":"Arthritis Care Res. Off. J. Am. Coll. Rheumatol."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"1172","DOI":"10.1002\/jor.22364","article-title":"Hip abduction can prevent posterior edge loading of hip replacements","volume":"31","author":"Modenese","year":"2013","journal-title":"J. Orthop. Res."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"e14708","DOI":"10.7717\/peerj.14708","article-title":"Geometric variation of the human tibia-fibula: A public dataset of tibia-fibula surface meshes and statistical shape model","volume":"11","author":"Keast","year":"2023","journal-title":"PeerJ"},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1016\/j.clinbiomech.2016.02.013","article-title":"Immediate effects of modified landing pattern on a probabilistic tibial stress fracture model in runners","volume":"33","author":"Chen","year":"2016","journal-title":"Clin. Biomech."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"116443","DOI":"10.1016\/j.bone.2022.116443","article-title":"Tibial-fibular geometry and density variations associated with elevated bone strain and sex disparities in young active adults","volume":"161","author":"Bruce","year":"2022","journal-title":"Bone"},{"key":"ref_43","doi-asserted-by":"crossref","unstructured":"Haider, I.T., Baggaley, M., and Edwards, W.B. (2020). Subject-Specific Finite Element Models of the Tibia with Realistic Boundary Conditions Predict Bending Deformations Consistent with In Vivo Measurement. J. Biomech. Eng., 142.","DOI":"10.1115\/1.4044034"},{"key":"ref_44","unstructured":"Baggaley, M., Haider, I., Bruce, O., Khassetarash, A., and Edwards, W.B. (2023). Tibial Strains During Graded Running. arXiv."},{"key":"ref_45","doi-asserted-by":"crossref","unstructured":"Sinclair, J., Chockalingam, N., and Taylor, P.J. (2022). Lower Extremity Kinetics and Kinematics in Runners with Patellofemoral Pain: A Retrospective Case\u2013Control Study Using Musculoskeletal Simulation. Appl. Sci., 12.","DOI":"10.3390\/app12020585"},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"84","DOI":"10.1002\/jor.1100030110","article-title":"A cumulative damage model for bone fracture","volume":"3","author":"Carter","year":"1985","journal-title":"J. Orthop. Res."},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1002\/jbmr.5650090113","article-title":"Mechanical loading thresholds for lamellar and woven bone formation","volume":"9","author":"Turner","year":"1994","journal-title":"J. Bone Miner. Res."},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"487","DOI":"10.1016\/j.orthres.2003.08.022","article-title":"Predicting stress fractures using a probabilistic model of damage, repair and adaptation","volume":"22","author":"Taylor","year":"2004","journal-title":"J. Orthop. Res."},{"key":"ref_49","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1115\/1.4010337","article-title":"A Statistical Distribution Function of Wide Applicability","volume":"18","author":"Weibull","year":"1951","journal-title":"J. Appl. Mech."},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"919","DOI":"10.1016\/S0736-0266(01)00009-2","article-title":"The prediction of stress fractures using a \u2018stressed volume\u2019 concept","volume":"19","author":"Taylor","year":"2001","journal-title":"J. Orthop. Res."},{"key":"ref_51","unstructured":"Cohen, J. (1988). Statistical Power Analysis for the Behavioral Sciences, Lawrence Erlbaum Associates. [2nd ed.]."},{"key":"ref_52","doi-asserted-by":"crossref","first-page":"1278","DOI":"10.4085\/1062-6050-0380.19","article-title":"Timing of Stress Fractures in Soldiers During the First 6 Career Months: A Retrospective Cohort Study","volume":"56","author":"Kardouni","year":"2021","journal-title":"J. Athl. Train."},{"key":"ref_53","doi-asserted-by":"crossref","first-page":"116803","DOI":"10.1016\/j.bone.2023.116803","article-title":"Sex disparities in tibia-fibula geometry and density are associated with elevated bone strain in females: A cross-validation study","volume":"173","author":"Bruce","year":"2023","journal-title":"Bone"}],"container-title":["Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2079-3197\/11\/12\/248\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T21:33:50Z","timestamp":1760132030000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2079-3197\/11\/12\/248"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,12,6]]},"references-count":53,"journal-issue":{"issue":"12","published-online":{"date-parts":[[2023,12]]}},"alternative-id":["computation11120248"],"URL":"https:\/\/doi.org\/10.3390\/computation11120248","relation":{},"ISSN":["2079-3197"],"issn-type":[{"type":"electronic","value":"2079-3197"}],"subject":[],"published":{"date-parts":[[2023,12,6]]}}}