{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,8]],"date-time":"2026-07-08T23:14:48Z","timestamp":1783552488841,"version":"3.55.0"},"publisher-location":"Cham","reference-count":103,"publisher":"Springer Nature Switzerland","isbn-type":[{"value":"9783032222848","type":"print"},{"value":"9783032222855","type":"electronic"}],"license":[{"start":{"date-parts":[[2026,1,1]],"date-time":"2026-01-01T00:00:00Z","timestamp":1767225600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2026,1,1]],"date-time":"2026-01-01T00:00:00Z","timestamp":1767225600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2026]]},"DOI":"10.1007\/978-3-032-22285-5_17","type":"book-chapter","created":{"date-parts":[[2026,7,8]],"date-time":"2026-07-08T22:24:46Z","timestamp":1783549486000},"page":"355-371","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Mathematical Descriptions of Damage to Cells and Tissues Following Heating"],"prefix":"10.1007","author":[{"given":"Neil T.","family":"Wright","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2026,3,4]]},"reference":[{"key":"17_CR1","doi-asserted-by":"publisher","first-page":"716","DOI":"10.1109\/TAC.1974.1100705","volume":"19","author":"H Akaiki","year":"1974","unstructured":"Akaiki H (1974) A new look at the statistical model identification. IEEE Trans Autom Control 19:716\u2013723","journal-title":"IEEE Trans Autom Control"},{"key":"17_CR2","doi-asserted-by":"crossref","unstructured":"Barrera-Le\u00f3n A, Rodr\u00edguez-Qui\u00f1ones L, Mendoza A (2025) Impact of mild hyperthermia on tumor-immune dynamics explored through mathematical modeling. Sci Rep. https:\/\/doi.org\/10.1038\/s41598-025-28719-7","DOI":"10.1038\/s41598-025-28719-7"},{"key":"17_CR3","doi-asserted-by":"publisher","first-page":"318","DOI":"10.1039\/C1CP22666E","volume":"14","author":"PJ Barrie","year":"2012","unstructured":"Barrie PJ (2012) The mathematical origins of the kinetic compensation effect: 1. the effect of random experimental errors. Phys Chem Chem Phys 14:318\u2013326","journal-title":"Phys Chem Chem Phys"},{"key":"17_CR4","doi-asserted-by":"publisher","first-page":"251","DOI":"10.2307\/3575042","volume":"78","author":"KD Bauer","year":"1979","unstructured":"Bauer KD, Henle KJ (1979) Arrhenius analysis of heat survival curves from normal and thermotolerant cho cells. Radiat Res 78:251\u2013263","journal-title":"Radiat Res"},{"key":"17_CR5","volume-title":"Parameter estimation in engineering and science","author":"J Beck","year":"1977","unstructured":"Beck J, Arnold K (1977) Parameter estimation in engineering and science. Wiley, New York"},{"key":"17_CR6","doi-asserted-by":"publisher","first-page":"117","DOI":"10.1161\/01.RES.83.2.117","volume":"83","author":"IJ Benjamin","year":"1998","unstructured":"Benjamin IJ, McMillan DR (1998) Stress (heat shock) proteins: molecular chaperones in cardiovascular biology and disease. Circul Res 83:117\u2013132","journal-title":"Circul Res"},{"issue":"8","key":"17_CR7","doi-asserted-by":"publisher","first-page":"1848","DOI":"10.1016\/j.ultrasmedbio.2016.03.007","volume":"42","author":"F Bessiere","year":"2016","unstructured":"Bessiere F, N\u2019Djin WA, Colas EC, Chavrier F, Greillier P, Chapelon JY, Chevalier P, Lafon C (2016) Ultrasound-guided transesophageal high-intensity focused ultrasound cardiac ablation in a beating heart: a pilot feasibility study in pigs. Ultrasound Med Biol 42(8):1848\u20131861","journal-title":"Ultrasound Med Biol"},{"key":"17_CR8","doi-asserted-by":"publisher","first-page":"521","DOI":"10.1139\/O08-136","volume":"86","author":"A Bettaieb","year":"2008","unstructured":"Bettaieb A, Averill-Bates DA (2008) Thermotolerance induced at a fever temperature of 40 \u2103 protects cells against hyperthermia-induced apoptosis mediated by death receptor signaling. Biochem Cell Biol 86:521\u2013538","journal-title":"Biochem Cell Biol"},{"key":"17_CR9","doi-asserted-by":"publisher","first-page":"52","DOI":"10.1016\/j.bbamcr.2014.09.016","volume":"1853","author":"A Bettaieb","year":"2015","unstructured":"Bettaieb A, Averill-Bates DA (2015) Thermotolerance induced at a mild temperature of 40 \u2103 alleviates heat shock-induced ER stress and apoptosis in HeLa cells. Biochimica et Biophysica Acta 1853:52\u201362","journal-title":"Biochimica et Biophysica Acta"},{"issue":"2","key":"17_CR10","volume":"2015","author":"E Briones","year":"2015","unstructured":"Briones E, Lacalle JR, Marin-Leon I, Rueda JR (2015) Transmyocardial laser revascularization versus medical therapy for refractory angina. Cochrane Database Syst Rev 2015(2):CD003712","journal-title":"Cochrane Database Syst Rev"},{"key":"17_CR11","doi-asserted-by":"publisher","first-page":"555","DOI":"10.1016\/j.yjmcc.2006.06.068","volume":"41","author":"BJ Brundel","year":"2006","unstructured":"Brundel BJ, Henning RH, Ke L, van Gelder IC, Crijns HJ, Kampinga HH (2006a) Heat shock protein upregulation protects against pacing-induced myolysis in HL-1 atrial myocytes and in human atrial fibrillation. J Mol Cell Cardiol 41:555\u2013562","journal-title":"J Mol Cell Cardiol"},{"key":"17_CR12","doi-asserted-by":"publisher","first-page":"1394","DOI":"10.1161\/01.RES.0000252323.83137.fe","volume":"99","author":"BJ Brundel","year":"2006","unstructured":"Brundel BJ, Shiroshita-Takeshita A, Qi X, Yeh YH, Chartier D, van Gelder IC, Henning RH, Kampinga HH, Nattel S (2006b) Induction of heat shock response protects the heart against atrial fibrillation. Circ Res 99:1394\u20131402","journal-title":"Circ Res"},{"key":"17_CR13","doi-asserted-by":"publisher","first-page":"1234","DOI":"10.1109\/10.720201","volume":"45","author":"SS Chen","year":"1998","unstructured":"Chen SS, Wright NT, Humphrey JD (1998) Phenomenological evolution equations for heat-induced shrinkage of a collagenous tissue. IEEE Trans Biomed Eng 45:1234\u20131240","journal-title":"IEEE Trans Biomed Eng"},{"key":"17_CR14","doi-asserted-by":"publisher","first-page":"463","DOI":"10.1148\/123.2.463","volume":"123","author":"W Dewey","year":"1977","unstructured":"Dewey W, Hopwood L, Sapareto S, Gerweck L (1977) Cellular responses to combinations of hyperthermia and radiation. Radiology 123:463\u2013479","journal-title":"Radiology"},{"key":"17_CR15","doi-asserted-by":"publisher","first-page":"403","DOI":"10.1146\/annurev.bioeng.7.060804.100449","volume":"8","author":"K Diller","year":"2006","unstructured":"Diller K (2006) Stress protein expression kinetics. Ann Rev Biomed Eng 8:403\u2013424. https:\/\/doi.org\/10.1146\/annurev.bio-eng.7.060804.100449","journal-title":"Ann Rev Biomed Eng"},{"key":"17_CR16","doi-asserted-by":"publisher","first-page":"153","DOI":"10.1111\/j.1749-6632.1999.tb07954.x","volume":"888","author":"K Diller","year":"1999","unstructured":"Diller K, Pearce J (1999) Issues in modeling thermal alterations in tissues. Ann NY Acad Sci 888:153\u2013164","journal-title":"Ann NY Acad Sci"},{"key":"17_CR17","volume-title":"The theory of polymer dynamics","author":"M Doi","year":"1986","unstructured":"Doi M, Edwards SF (1986) The theory of polymer dynamics. Oxford University Press, Oxford"},{"key":"17_CR18","doi-asserted-by":"publisher","first-page":"36892","DOI":"10.1074\/jbc.M404893200","volume":"279","author":"T Ei\u00dfing","year":"2004","unstructured":"Ei\u00dfing T, Conzelmann H, Gilles ED, Allg\u00f6wer F, Bullinger E, Scheurich P (2004) Bistability analyses of a caspase activation model for receptor-induced apoptosis. J Biol Chem 279:36892\u201336897","journal-title":"J Biol Chem"},{"key":"17_CR19","doi-asserted-by":"publisher","first-page":"591","DOI":"10.1016\/j.biosystems.2007.01.003","volume":"90","author":"T Ei\u00dfing","year":"2007","unstructured":"Ei\u00dfing T, Waldherr S, Allg\u00f6wer F, Scheurich P, Bullinger E (2007) Steady state and (bi-) stability evaluation of simple protease signalling networks. BioSystems 90:591\u2013601","journal-title":"BioSystems"},{"key":"17_CR20","doi-asserted-by":"publisher","first-page":"173","DOI":"10.1177\/0192623315625859","volume":"44","author":"SA Elmore","year":"2016","unstructured":"Elmore SA, Dixon D, Hailey JR, Harada T, Herbert RA, Maronpot RR, Nolte T, Rehg JE, Rittinghausen S, Rosol TJ, Satoh H, Vidal JD, Willard-Mack CL, Creasy DM (2016) Recommendations from the INHAND apoptosis\/necrosis working group. Toxicol Pathol 44:173\u2013188","journal-title":"Toxicol Pathol"},{"issue":"6","key":"17_CR21","doi-asserted-by":"publisher","first-page":"335","DOI":"10.1038\/nri3843","volume":"15","author":"SS Evans","year":"2015","unstructured":"Evans SS, Repasky EA, Fisher DT (2015) Fever and the thermal regulation of immunity: the immune system feels the heat. Nat Rev Immunol 15(6):335\u2013349","journal-title":"Nat Rev Immunol"},{"key":"17_CR22","doi-asserted-by":"crossref","unstructured":"Feng Y, Oden JT, Rylander MN (2008) A two-state cell damage model under hyperthermic conditions: theory and in vitro experiments. J Biomech Egr 130:041016\u20131\u201310","DOI":"10.1115\/1.2947320"},{"key":"17_CR23","doi-asserted-by":"publisher","first-page":"1689","DOI":"10.1021\/jp1105696","volume":"115","author":"KF Freed","year":"2011","unstructured":"Freed KF (2011) Entropy-enthalpy compensation in chemical reactions and adsorption: an exactly solvable model. J Phys Chem B 115:1689\u20131692","journal-title":"J Phys Chem B"},{"key":"17_CR24","doi-asserted-by":"publisher","first-page":"768","DOI":"10.1038\/77589","volume":"18","author":"M Fussenegger","year":"2000","unstructured":"Fussenegger M, Bailey JE, Varner J (2000) A mathematical model of caspase function in apoptosis. Nat Biotechnol 18:768\u2013774","journal-title":"Nat Biotechnol"},{"key":"17_CR25","doi-asserted-by":"publisher","first-page":"1743","DOI":"10.1152\/japplphysiol.01101.2001","volume":"92","author":"VL Gabai","year":"2002","unstructured":"Gabai VL, Sherman MY (2002) Molecular biology of thermoregulation. J Appl Physiol 92:1743\u20131748","journal-title":"J Appl Physiol"},{"key":"17_CR26","doi-asserted-by":"publisher","first-page":"107","DOI":"10.1038\/cdd.2011.96","volume":"19","author":"L Galluzzi","year":"2012","unstructured":"Galluzzi L, Vitale I, Abrams J, Alnemri E, Baehrecke E, Blagosklonny M, Dawson T, Dawson V, El-Deiry W, Fulda S, Gottli E, Green D, Hengartner M, Kepp O, Knight R, Kumar S, Lipton S, Lu X, Madeo F, Malorni W, Mehlen P, Nunez G, Peter M, Piacentini M, Rubinsztein D, Shi Y, Simon HU, Vandenabeele P, White E, Yuan J, Zhivotovsky B, Melino G, Kroemer G (2012) Molecular definitions of cell death subroutines: recommendations of the nomenclature committee on cell death 2012. Cell Death Diff 19:107\u2013120","journal-title":"Cell Death Diff"},{"key":"17_CR27","doi-asserted-by":"publisher","first-page":"58","DOI":"10.1038\/cdd.2014.137","volume":"22","author":"L Galluzzi","year":"2015","unstructured":"Galluzzi L, Pedro JBS., Vitale I, Aaronson S, Abrams J, Adam D, Alnemri E, Altucci L, Andrews D, Annicchiarico-Petruzzelli M, Baehrecke E, Bazan N, Bertrand M, Bianchi K, Blagosklonny M, Blomgren K, Borner C, Bredesen D, Brenner C, Campanella M, Candi E, Cecconi F, Chan F, Chandel N, Cheng E, Chipuk J, Cidlowski J, Ciechanover A, Dawson T, Dawson V, Laurenzi VD, Maria RD, Debatin KM, Daniele ND, Dixit V, Dynlacht B, El-Deiry W, Fimia G, Flavell R, Fulda S, Garrido C, Gougeon ML, Green D, Gronemeyer H, Hajnoczky G, Hardwick J, Hengartner M, Ichijo H, Joseph B, Jost P, Kaufmann T, Kepp O, Klionsky D, Knight R, Kumar S, Lemasters J, Levine B, Linkermann A, Lipton S, Lockshin R, L\u00f3pez-Ot\u00edn C, Lugli E, Madeo F, Malorni W, Marine JC, Martin S, Martinou JC, Medema J, Meier P, Melino S, Mizushima N, Moll U, Mu\u00f1oz-Pinedo C, Nu\u00f1ez G, Oberst A, Panaretakis T, Penninger J, Peter M, Piacentini M, Pinton P, Prehn J, Puthalakath H, Rabinovich G, Ravichandran K, Rizzuto R, Rodrigues C, Rubinsztein D, Rudel T, Shi Y, Simon HU, Stockwell B, Szabadkai G, Tait S, Tang H, Tavernarakis N, Tsujimoto Y, Berghe TV, Vandenabeele P, Villunger A, Wagner E, Walczak H, White E, Wood W, Yuan J, Zakeri Z, Zhivotovsky B, Melino G, Kroemer G (2015) Essential versus accessory aspects of cell death: recommendations of the NCCD 2015. Cell Death Diff 22:58\u201373","journal-title":"Cell Death Diff"},{"key":"17_CR28","doi-asserted-by":"publisher","first-page":"485","DOI":"10.1016\/j.freeradbiomed.2016.08.032","volume":"99","author":"A Glory","year":"2016","unstructured":"Glory A, Averill-Bates DA (2016) The antioxidant transcription factor Nrf2 contributes to the protective effect of mild thermotolerance (40 \u2103) against heat shock-induced apoptosis. Free Rad Biol Med 99:485\u2013497","journal-title":"Free Rad Biol Med"},{"key":"17_CR29","first-page":"639","volume":"1","author":"W Gorczyca","year":"1992","unstructured":"Gorczyca W, Bruno S, Darzynkiewicz R, Gong J, Darzynkiewicz Z (1992) DNA strand breaks occurring during apoptosis: their early in situ detection by terminal deoxynucleotidyl transferase and nick translation assays and prevention by serine protease inhibitors. Int J Oncol 1:639\u2013648","journal-title":"Int J Oncol"},{"key":"17_CR30","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4684-4193-2","volume-title":"Hyperthermia and cancer","author":"GM Hahn","year":"1982","unstructured":"Hahn GM (1982) Hyperthermia and cancer. Plenum Press, New York"},{"key":"17_CR31","unstructured":"Harrington PL, Wright NT (2005) Sensitivity analysis of Arrhenius parameters for denaturation of collagen. In: Proceedings of 2005 ASME summer bioengineering conference"},{"issue":"2","key":"17_CR32","doi-asserted-by":"publisher","first-page":"371","DOI":"10.1109\/TBME.2003.820375","volume":"51","author":"JL Harris","year":"2004","unstructured":"Harris JL, Humphrey JD (2004) Kinetics of thermal damage to a collagenous membrane under biaxial isotonic loading. IEEE Trans Biomed Eng 51(2):371\u2013379","journal-title":"IEEE Trans Biomed Eng"},{"issue":"5","key":"17_CR33","doi-asserted-by":"publisher","first-page":"355","DOI":"10.1615\/CritRevBiomedEng.v31.i56.10","volume":"31","author":"X He","year":"2003","unstructured":"He X, Bischof JC (2003) Quantification of temperature and injury response in thermal therapy and cryosurgery. Crit Rev Biomed Eng 31(5):355\u2013422","journal-title":"Crit Rev Biomed Eng"},{"key":"17_CR34","doi-asserted-by":"publisher","first-page":"51","DOI":"10.1115\/1.429627","volume":"122","author":"X He","year":"2000","unstructured":"He X, Bhowmick S, Bischof J (2000) Supraphysiological thermal injury in dunning at-1 prostate tumor cells. J Biomech Egr 122:51\u201359","journal-title":"J Biomech Egr"},{"key":"17_CR35","doi-asserted-by":"publisher","DOI":"10.1115\/1.3128671","volume":"131","author":"X He","year":"2009","unstructured":"He X, Bhowmick S, Bischof J (2009) Thermal therapy in urologic systems: a comparison of Arrhenius and thermal isoeffective dose models in predicting hyperthermic injury. J Biomech Eng 131:074507","journal-title":"J Biomech Eng"},{"key":"17_CR36","first-page":"489","volume":"43","author":"FC Henriques Jr","year":"1947","unstructured":"Henriques Jr FC (1947) Studies of thermal injury V. The predictability and the significance of thermally induced rate processes leading to irreversible epidermal injury. Arch Pathol 43:489\u2013502","journal-title":"Arch Pathol"},{"key":"17_CR37","first-page":"531","volume":"23","author":"FC Henriques Jr","year":"1947","unstructured":"Henriques Jr FC, Moritz AR (1947) Studies of thermal injury. I. The conduction of heat to and through skin and the temperatures attained therein. Am J Pathol 23:531\u2013549","journal-title":"Am J Pathol"},{"key":"17_CR38","doi-asserted-by":"crossref","unstructured":"Hesami S, Mohammadi M, Rezaee MA, Jalili A, Rahmani MR (2017) The effects of hyperthermia on the immunomodulatory properties of human umbilical cord vein mesenchymal stem cells (MSCs). Int J Hyperthermia 33(7):705\u2013712. PMID: 28540823. https:\/\/doi.org\/10.1080\/02656736.2017.1309576","DOI":"10.1080\/02656736.2017.1309576"},{"key":"17_CR39","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1007\/s12013-007-9002-3","volume":"50","author":"JD Humphrey","year":"2008","unstructured":"Humphrey JD (2008) Vascular adaptation and mechanical homeostasis at tissue, cellular, and sub-cellular levels. Cell Biochem Biophys 50:53\u201378","journal-title":"Cell Biochem Biophys"},{"issue":"3","key":"17_CR40","doi-asserted-by":"publisher","first-page":"407","DOI":"10.1142\/S0218202502001714","volume":"12","author":"JD Humphrey","year":"2002","unstructured":"Humphrey JD, Rajagopal R (2002) A constrained mixture model for growth and remodeling of soft tissues. Math Models Methods Appl Sci 12(3):407\u2013430","journal-title":"Math Models Methods Appl Sci"},{"key":"17_CR41","doi-asserted-by":"publisher","first-page":"126982","DOI":"10.1016\/j.ijheatmasstransfer.2025.126982","volume":"245","author":"Q Jiang","year":"2025","unstructured":"Jiang Q, Ren F, Wang C, Wang Z, Kefayati G, Kenjeres S, Vafai K, Cui X, Liu Y, Tang H (2025) Multiphysics simulation of tumor ablation in magnetic hyperthermia treatment. Int J Heat Mass Transf 245:126982. https:\/\/doi.org\/10.1016\/j.ijheatmasstransfer.2025.126982","journal-title":"Int J Heat Mass Transf"},{"key":"17_CR42","first-page":"557","volume":"66","author":"HA Johnson","year":"1972","unstructured":"Johnson HA, Pavelec M (1972) Thermal injury due to normal body temperature. Am J Pathol 66:557\u2013564","journal-title":"Am J Pathol"},{"key":"17_CR43","doi-asserted-by":"publisher","first-page":"56","DOI":"10.2307\/3576561","volume":"106","author":"H Jung","year":"1986","unstructured":"Jung H (1986) A generalized concept for cell killing by heat. Rad Res 106:56\u201372","journal-title":"Rad Res"},{"key":"17_CR44","doi-asserted-by":"publisher","first-page":"11","DOI":"10.1242\/jcs.104.1.11","volume":"104","author":"HH Kampinga","year":"1993","unstructured":"Kampinga HH (1993) Thermotolerance in mammalian cells. J Cell Sci 104:11\u201317","journal-title":"J Cell Sci"},{"key":"17_CR45","doi-asserted-by":"publisher","first-page":"191","DOI":"10.1080\/02656730500532028","volume":"22","author":"HH Kampinga","year":"2006","unstructured":"Kampinga HH (2006) Cell biological effects of hyperthermia alone or combined with radiation or drugs: a short introduction to newcomers in the field. Int J Hyperthermia 22:191\u2013196","journal-title":"Int J Hyperthermia"},{"key":"17_CR46","doi-asserted-by":"publisher","first-page":"8936","DOI":"10.1038\/s41598-020-65823-2","volume":"10","author":"PHJ Kao","year":"2020","unstructured":"Kao PHJ, Chen CH, Tsang YW, Lin CS, Chiang HC, Huang CC, Chi MS, Yang KL, Li WT, Kao SJ, Minnaar CA, Chi KH, Wang YS (2020) Relationship between energy dosage and apoptotic cell death by modulated electro-hyperthermia. Sci Rep 10:8936. https:\/\/doi.org\/10.1038\/s41598-020-65823-2","journal-title":"Sci Rep"},{"key":"17_CR47","doi-asserted-by":"publisher","first-page":"15","DOI":"10.2307\/3573285","volume":"47","author":"A Kellerer","year":"1971","unstructured":"Kellerer A, Rossi H (1971) RBE and the primary mechanics of radiation action. Rad Res 47:15\u201334","journal-title":"Rad Res"},{"issue":"1","key":"17_CR48","doi-asserted-by":"publisher","first-page":"1126","DOI":"10.1080\/02656736.2022.2113826","volume":"39","author":"HP Kok","year":"2022","unstructured":"Kok HP, van Rhoon GC, Herrera TD, Overgaard J, Crezee J (2022) Biological modeling in thermoradiotherapy: present status and ongoing developments toward routine clinical use. Int J Hyperthermia 39(1):1126\u20131140. https:\/\/doi.org\/10.1080\/02656736.2022.2113826","journal-title":"Int J Hyperthermia"},{"issue":"2","key":"17_CR49","doi-asserted-by":"publisher","first-page":"295","DOI":"10.1007\/BF02460644","volume":"56","author":"VA Kuznetsov","year":"1994","unstructured":"Kuznetsov VA, Makalkin IA, Taylor MA, Perelson AS (1994) Nonlinear dynamics of immunogenic tumors: parameter estimation and global bifurcation analysis. Bull Math Biol 56(2):295\u2013321","journal-title":"Bull Math Biol"},{"key":"17_CR50","unstructured":"Laidler KJ (1987) Chemical kinetics. Harper & Row, New York (1987)"},{"key":"17_CR51","doi-asserted-by":"publisher","first-page":"59","DOI":"10.1016\/0360-3016(82)90385-6","volume":"8","author":"J Landry","year":"1982","unstructured":"Landry J, Chr\u00e9tien P, Bernier D, Nicole LM, Marceau N, Tanguay RM (1982) Thermotolerance and heat shock proteins induced by hyperthermia in rat liver cells. Int J Radiat Oncol Biol Phys 8:59\u201362","journal-title":"Int J Radiat Oncol Biol Phys"},{"issue":"5","key":"17_CR52","doi-asserted-by":"publisher","first-page":"1469","DOI":"10.1161\/01.CIR.86.5.1469","volume":"86","author":"JJ Langberg","year":"1992","unstructured":"Langberg JJ, Calkins H, El-Atassi R, Broganelli M, Leon A, Kalbfleisch S, Morady F (1992) Temperature monitoring during radiofrequency catheter ablation of accessory pathways. Circulation 86(5):1469\u20131474","journal-title":"Circulation"},{"key":"17_CR53","doi-asserted-by":"publisher","first-page":"59","DOI":"10.1111\/j.1365-2184.1992.tb01482.x","volume":"25","author":"A Laszlo","year":"1992","unstructured":"Laszlo A (1992) The effects of hyperthermia on mammalian cell structure and function. Cell Proliferat 25:59\u201387","journal-title":"Cell Proliferat"},{"key":"17_CR54","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1002\/jcp.1041320102","volume":"132","author":"YJ Lee","year":"1987","unstructured":"Lee YJ, Dewey WC (1987) Induction of heat shock proteins in chinese hamster ovary cells and development of thermotolerance by concentrations of puromycin. J Cell Physiol 132:1\u201311","journal-title":"J Cell Physiol"},{"issue":"3","key":"17_CR55","doi-asserted-by":"publisher","first-page":"211","DOI":"10.1002\/wsbm.1330","volume":"8","author":"L Lee","year":"2016","unstructured":"Lee L, Kassab G, Guccione J (2016) Mathematical modeling of cardiac growth and remodeling. Wiley Interdiscip Rev Syst Biol Med 8(3):211\u2013226","journal-title":"Wiley Interdiscip Rev Syst Biol Med"},{"issue":"3","key":"17_CR56","doi-asserted-by":"publisher","first-page":"252","DOI":"10.1080\/0265673031000065042","volume":"19","author":"J Lepock","year":"2003","unstructured":"Lepock J (2003) Cellular effects of hyperthermia: relevance to the minimum dose for thermal damage. Int J Hyperthermia 19(3):252\u2013266","journal-title":"Int J Hyperthermia"},{"key":"17_CR57","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1016\/0360-3016(82)90386-8","volume":"8","author":"GC Li","year":"1982","unstructured":"Li GC, Petersen NS, Mitchell HK (1982) Induced thermal tolerance and heat shock protein synthesis in chinese hamster ovary cells. Int J Rad Oncol Biol Phys 8:63\u201367","journal-title":"Int J Rad Oncol Biol Phys"},{"key":"17_CR58","doi-asserted-by":"crossref","unstructured":"Luk\u00e1csi S, Munk\u00e1csy G, Gy\u0151rffy B (2024) Harnessing hyperthermia: molecular, cellular, and immunological insights for enhanced anticancer therapies. Integr Cancer Ther 23:1\u201317. https:\/\/doi.org\/10.1177\/15347354241242094","DOI":"10.1177\/15347354241242094"},{"key":"17_CR59","doi-asserted-by":"publisher","first-page":"318","DOI":"10.2307\/3577206","volume":"113","author":"MA Mackey","year":"1988","unstructured":"Mackey MA, Dewey WC (1988) Time-temperature analyses of cell killing of synchronous g1 and s phase chinese hamster cells in vitro. Radiat Res 113:318\u2013333","journal-title":"Radiat Res"},{"issue":"1","key":"17_CR60","doi-asserted-by":"publisher","first-page":"133","DOI":"10.1016\/S0022-5193(05)80669-1","volume":"156","author":"MA Mackey","year":"1992","unstructured":"Mackey MA, Roti Roti JL (1992) A model of heat-induced clonogenic cell death. J Theoret Biol 156(1):133\u2013146","journal-title":"J Theoret Biol"},{"key":"17_CR61","first-page":"1583","volume":"31","author":"U Mayrhauser","year":"2011","unstructured":"Mayrhauser U, Stiegler P, Stadlbauer V, Koestenbauer S, Leber B, Konrad K, Iberer F, Portucaller RH, Tscheiliessnigg K (2011a) Effect of hyperthermia on liver cell lines: important findings for thermal therapy in hepatocellular carcinoma. Anticancer Res 31:1583\u20131588","journal-title":"Anticancer Res"},{"key":"17_CR62","first-page":"3713","volume":"31","author":"U Mayrhauser","year":"2011","unstructured":"Mayrhauser U, Stiegler P, Stadlbauer V, Koestenbauer S, Leber B, Konrad K, Iberer F, Tscheiliessnigg K (2011b) Cell to cell interactions influence sensitivity of liver cell lines during hyperthermia. Anticancer Res 31:3713\u20133718","journal-title":"Anticancer Res"},{"key":"17_CR63","doi-asserted-by":"publisher","first-page":"3243","DOI":"10.1016\/S0006-3495(99)77476-X","volume":"76","author":"CA Miles","year":"1999","unstructured":"Miles CA, Ghelashvili M (1999) Polymer-in-a-box mechanism for the thermal stabilization of collagen molecules in fibers. Biophys J 76:3243\u20133252","journal-title":"Biophys J"},{"issue":"25","key":"17_CR64","doi-asserted-by":"publisher","first-page":"16991","DOI":"10.1074\/jbc.M512754200","volume":"281","author":"RS Milleron","year":"2006","unstructured":"Milleron RS, Bratton SB (2006) Heat shock induces apoptosis independently of any known initiator caspase-activating complex. J Biol Chem 281(25):16991\u201317000","journal-title":"J Biol Chem"},{"key":"17_CR65","first-page":"915","volume":"23","author":"AR Moritz","year":"1947","unstructured":"Moritz AR (1947) Studies of thermal injury. III. The pathology and pathogenesis of cutaneous burns, an experimental study. Am J Pathol 23:915\u2013941","journal-title":"Am J Pathol"},{"key":"17_CR66","first-page":"695","volume":"23","author":"AR Moritz","year":"1947","unstructured":"Moritz AR, Henriques Jr FC (1947) Studies of thermal injury. II. The relative importance of time and surface temperature in the causation of cutaneous burns. Am J Pathol 23:695\u2013720","journal-title":"Am J Pathol"},{"issue":"3","key":"17_CR67","doi-asserted-by":"publisher","first-page":"217","DOI":"10.5978\/islsm.20.217","volume":"20","author":"M Okada","year":"2011","unstructured":"Okada M, Yoshida M, Tsuji Y, Horii H (2011) Clinical application of laser treatment for cardiovascular surgery. Laser Therapy 20(3):217\u2013232","journal-title":"Laser Therapy"},{"issue":"1","key":"17_CR68","doi-asserted-by":"publisher","first-page":"570","DOI":"10.1007\/s10439-010-0177-1","volume":"39","author":"DP O\u2019Neill","year":"2011","unstructured":"O\u2019Neill DP, Peng T, Stiegler P, Mayrhauser U, Koestenbauer S, Tscheiliessnigg K, Payne SJ (2011) A three-state mathematical model of hyperthermic cell death. Ann Biomed Eng 39(1):570\u2013579","journal-title":"Ann Biomed Eng"},{"issue":"4","key":"17_CR69","doi-asserted-by":"publisher","first-page":"1464","DOI":"10.3109\/02656736.2013.786140","volume":"29","author":"JA Pearce","year":"2013","unstructured":"Pearce JA (2013) Comparative analysis of mathematical models of cell death and thermal damage processes. Int J Hyperthermia 29(4):1464\u20135157","journal-title":"Int J Hyperthermia"},{"key":"17_CR70","doi-asserted-by":"crossref","unstructured":"Pearce JA (2015) Improving accuracy in arrhenius models of cell death: adding a temperature-dependent time delay. J Biomech Eng 137:121006\u20131\u20137","DOI":"10.1115\/1.4031851"},{"key":"17_CR71","volume-title":"Optical and thermal response of laser-irradiated tissue, pp 561\u2013606","author":"JA Pearce","year":"1995","unstructured":"Pearce JA, Thomsen S (1995) Rate process analysis of thermal damage. In: Welch AJ, Van Gemert MJC (eds) Optical and thermal response of laser-irradiated tissue, pp 561\u2013606. Plenum, New York (1995)"},{"key":"17_CR72","first-page":"97","volume":"14","author":"A Peper","year":"1998","unstructured":"Peper A, Grimbergent CA, Spaan JAE, Souren JEM, Wijk RV (1998) A mathematical model of the hsp70 regulation in the cell. J Mol Biol 14:97\u2013124","journal-title":"J Mol Biol"},{"key":"17_CR73","doi-asserted-by":"publisher","first-page":"86","DOI":"10.1038\/jid.2009.205","volume":"130","author":"M Purschke","year":"2010","unstructured":"Purschke M, Laubach HJ, Anderson RR, Manstein D (2010) Thermal injury causes dna damage and lethality in unheated surrounding cells: active thermal bystander effect. J Invest Dermatol 130:86\u201392","journal-title":"J Invest Dermatol"},{"key":"17_CR74","doi-asserted-by":"publisher","first-page":"2392","DOI":"10.1007\/s10439-014-1100-y","volume":"42","author":"Z Qin","year":"2014","unstructured":"Qin Z, Balasubramanian SK, Wolkers WF, Pearce JA, Bischof JC (2014) Correlated parameter fit of arrhenius model for thermal denaturation of proteins and cells. Ann Biomed Eng 42:2392\u20132404","journal-title":"Ann Biomed Eng"},{"issue":"3","key":"17_CR75","doi-asserted-by":"publisher","first-page":"153","DOI":"10.1016\/S0163-7258(97)00037-5","volume":"75","author":"M Raffray","year":"1997","unstructured":"Raffray M, Cohen GM (1997) Apoptosis and necrosis in toxicology: a continuum or distinct models of cell death. Pharmacol Ther 75(3):153\u2013177","journal-title":"Pharmacol Ther"},{"key":"17_CR76","doi-asserted-by":"publisher","first-page":"2215","DOI":"10.1007\/s00330-013-2825-y","volume":"23","author":"GC van Rhoon","year":"2013","unstructured":"van Rhoon GC, Samaras T, Yarmolenko PS, Dewhirst MW, Neufeld E, Kuster N (2013) CEM43\u2103 thermal dose thresholds: a potential guide for magnetic resonance radiofrequency exposure levels? Eur Radiol 23:2215\u20132227. https:\/\/doi.org\/10.1007\/s00330-013-2825-y","journal-title":"Eur Radiol"},{"key":"17_CR77","doi-asserted-by":"crossref","unstructured":"Roti Roti JL, Henle K (1980) Comparison of two mathematical models for describing heat-induced cell killing. Rad Res 81:374\u2013383","DOI":"10.2307\/3575196"},{"key":"17_CR78","doi-asserted-by":"publisher","unstructured":"Rybi\u0144ski M, Szyma\u0144ska Z, Lasota S, Gambin A (2013) Modelling the efficacy of hyperthermia treatment. J R Soc Interface 10(88). https:\/\/doi.org\/10.1098\/rsif.2013.0527. http:\/\/rsif.royalsocietypublishing.org\/content\/10\/88\/20130527","DOI":"10.1098\/rsif.2013.0527"},{"key":"17_CR79","doi-asserted-by":"publisher","first-page":"222","DOI":"10.1196\/annals.1363.009","volume":"1066","author":"MN Rylander","year":"2005","unstructured":"Rylander MN, Feng Y, Bass J, Diller KR (2005) Thermally induced injury and heat-shock protein expression in cells and tissues. Ann NY Acad Sci 1066:222\u2013242","journal-title":"Ann NY Acad Sci"},{"key":"17_CR80","doi-asserted-by":"crossref","unstructured":"Rylander MN, Feng Y, Zhang Y, Bass J, Stafford RJ, Volgin A, Hazle JD, Diller KR (2006) Optimizing heat shock protein expression induced by prostate cancer laser therapy through predictive computational models. J Biomed Opt 11:11\u201311\u201316. https:\/\/doi.org\/10.1117\/1.2241310","DOI":"10.1117\/1.2241310"},{"key":"17_CR81","doi-asserted-by":"publisher","first-page":"731","DOI":"10.1002\/lsm.20546","volume":"39","author":"MN Rylander","year":"2007","unstructured":"Rylander MN, Feng Y, Bass J, Diller KR (2007) Heat shock protein expression and injury optimization for laser therapy design. Lasers Surgery Med 39:731\u2013746","journal-title":"Lasers Surgery Med"},{"issue":"8","key":"17_CR82","doi-asserted-by":"publisher","first-page":"748","DOI":"10.3109\/02656736.2010.486778","volume":"26","author":"MN Rylander","year":"2010","unstructured":"Rylander MN, Feng Y, Zimmermann K, Diller KR (2010) Measurement and mathematical modeling of thermally induced injury and heat shock protein expression kinetics in normal and cancerous prostate cells. Int J Hyperthermia 26(8):748\u2013764","journal-title":"Int J Hyperthermia"},{"key":"17_CR83","doi-asserted-by":"publisher","first-page":"306","DOI":"10.1016\/S0014-5793(99)01486-6","volume":"461","author":"A Samali","year":"1999","unstructured":"Samali A, Holmberg CI, Sistonen L, Orreniusa S (1999) Thermotolerance and cell death are distinct cellular responses to stress: dependence on heat shock proteins. FEBS Lett 461:306\u2013310","journal-title":"FEBS Lett"},{"key":"17_CR84","doi-asserted-by":"crossref","unstructured":"Santos-Marques MJ, Carvalho F, Sousa C, Remi\u00e3o F, Vitorino R, Amado F, Ferreira R, Duarte JA, de Lourdes Bastos M (2006) Cytotoxicity and cell signalling induced by continuous mild hyperthermia in freshly isolated mouse hepatocytes. Toxicology 224(3):210\u2013218. https:\/\/doi.org\/10.1016\/j.tox.2006.04.028. http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0300483X06002344","DOI":"10.1016\/j.tox.2006.04.028"},{"key":"17_CR85","doi-asserted-by":"publisher","first-page":"787","DOI":"10.1016\/0360-3016(84)90379-1","volume":"10","author":"SA Sapareto","year":"1984","unstructured":"Sapareto SA, Dewey WC (1984) Thermal dose determination in cancer therapy. Int J Rad Oncol Biol Phys 10:787\u2013800","journal-title":"Int J Rad Oncol Biol Phys"},{"key":"17_CR86","first-page":"393","volume":"38","author":"SA Sapareto","year":"1978","unstructured":"Sapareto SA, Hopwood LE, Dewey WC, Raju MR, Gray JW (1978) Effects of hyperthermia on survival and progression of chinese hamster ovary cells. Cancer Res 38:393\u2013400","journal-title":"Cancer Res"},{"key":"17_CR87","doi-asserted-by":"publisher","first-page":"661","DOI":"10.1110\/ps.37801","volume":"10","author":"K Sharp","year":"2001","unstructured":"Sharp K (2001) Entropy\u2013enthalpy compensation: fact or artifact? Protein Sci 10:661\u2013667","journal-title":"Protein Sci"},{"key":"17_CR88","doi-asserted-by":"publisher","first-page":"071006","DOI":"10.1115\/1.4027272","volume":"136","author":"AS Song","year":"2014","unstructured":"Song AS, Najjar AM, Diller KR (2014) Thermally induced apoptosis, necrosis, and heat shock protein expression in three-dimensional culture. J Biomech Eng 136:071006-1","journal-title":"J Biomech Eng"},{"key":"17_CR89","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1016\/0360-3016(82)90384-4","volume":"8","author":"IJ Spiro","year":"1982","unstructured":"Spiro IJ, Sapareto SA, Raaphorst GP, Dewey WC (1982) The effect of chronic and acute heat conditioning on the development of thermal tolerance. Int J Rad Oncol Biol Phys 8:53\u201358","journal-title":"Int J Rad Oncol Biol Phys"},{"issue":"8","key":"17_CR90","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pone.0042958","volume":"7","author":"K Sriram","year":"2012","unstructured":"Sriram K, Rodriguez-Fernandez M, Doyle III FJ (2012) A detailed modular analysis of heat-shock protein dynamics under acute and chronic stress and its implication in anxiety disorders. PLoS ONE 7(8):e42958","journal-title":"PLoS ONE"},{"key":"17_CR91","doi-asserted-by":"publisher","first-page":"579","DOI":"10.1002\/jcp.1041640316","volume":"164","author":"GJJ Stege","year":"1995","unstructured":"Stege GJJ, Brunstinc JF, Kampinga HH, Konings AWT (1995) Thermotolerance and nuclear protein aggregation: protection against initial damage or better recovery. J Cell Physiol 164:579\u2013586","journal-title":"J Cell Physiol"},{"issue":"7","key":"17_CR92","doi-asserted-by":"publisher","first-page":"604","DOI":"10.1093\/embo-reports\/kvf138","volume":"3","author":"P Syntichaki","year":"2002","unstructured":"Syntichaki P, Tavernarakis N (2002) Death by necrosis. EMBO Rep 3(7):604\u2013609. https:\/\/doi.org\/10.1093\/embo-reports\/kvf138","journal-title":"EMBO Rep"},{"key":"17_CR93","doi-asserted-by":"crossref","unstructured":"Takata AN, Zaneveld L, Richter W (1977) Laser-induced thermal damage of skin. Final report SAM-TR-77-38, USAF School of Aerospace Medicine, Warminster, PA","DOI":"10.21236\/ADA054612"},{"key":"17_CR94","doi-asserted-by":"publisher","first-page":"107","DOI":"10.1046\/j.1365-201X.2003.01132.x","volume":"178","author":"RP Taylor","year":"2003","unstructured":"Taylor RP, Starnes JW (2003) Age, cell signalling and cardioprotection. Acta Physiol Scand 178:107\u2013116","journal-title":"Acta Physiol Scand"},{"key":"17_CR95","doi-asserted-by":"publisher","first-page":"794","DOI":"10.1115\/1.1632522","volume":"125","author":"S Wang","year":"2003","unstructured":"Wang S, Diller KR, Aggarwal SJ (2003) Kinetics study of endogenous heat shock protein 70 expression. J Biomech Eng 125:794\u2013797","journal-title":"J Biomech Eng"},{"key":"17_CR96","doi-asserted-by":"publisher","first-page":"146","DOI":"10.1002\/bit.21512","volume":"99","author":"S Wang","year":"2008","unstructured":"Wang S, Xie W, Rylander MN, Tucker PW, Aggarwal S, Diller KR (2008) HSP70 kinetics study by continuous observation of HSP\u2013GFP fusion protein expression on a perfusion heating stage. Biotechnol Bioeng 99:146\u2013154","journal-title":"Biotechnol Bioeng"},{"key":"17_CR97","doi-asserted-by":"crossref","unstructured":"Wang S, Chen PC, Berthiaume F, Toner M, Jayaraman A, Yarmush ML (2009) Dynamic effect of heat shock pretreatment on apoptotic responses to TNF-$$ \\alpha $$ in liver cells. J Biomech Eng 131:071003","DOI":"10.1115\/1.3118768"},{"key":"17_CR98","first-page":"467","volume":"19","author":"A Westra","year":"1971","unstructured":"Westra A, Dewey WC (1971) Variation in sensitivity to heat shock during the cell cycle of Chinese hamster cells in vitro. Int J Rad Bio 19:467\u2013477","journal-title":"Int J Rad Bio"},{"key":"17_CR99","doi-asserted-by":"publisher","first-page":"300","DOI":"10.1115\/1.1553974","volume":"125","author":"NT Wright","year":"2003","unstructured":"Wright NT (2003) On a relationship between the Arrhenius parameters from thermal damage studies. J Biomech Eng 125:300\u2013304","journal-title":"J Biomech Eng"},{"key":"17_CR100","doi-asserted-by":"publisher","first-page":"051001","DOI":"10.1115\/1.4023981","volume":"135","author":"NT Wright","year":"2013","unstructured":"Wright NT (2013) Comparison of models of post-hyperthermia cell survival. J Biomech Eng 135:051001\u20131","journal-title":"J Biomech Eng"},{"key":"17_CR101","doi-asserted-by":"publisher","DOI":"10.1038\/cddis.2014.36","volume":"5","author":"M W\u00fcrstle","year":"2014","unstructured":"W\u00fcrstle M, Zink E, Prehn J, Rehm M (2014) From computational modelling of the intrinsic apoptosis pathway to a systems-based analysis of chemotherapy resistance: achievements, perspectives and challenges in systems medicine. Cell Death Disease 5:e1258. https:\/\/doi.org\/10.1038\/cddis.2014.36","journal-title":"Cell Death Disease"},{"key":"17_CR102","doi-asserted-by":"publisher","first-page":"529","DOI":"10.1038\/nrm3619","volume":"14","author":"M Xin","year":"2013","unstructured":"Xin M, Olson EN, Bassel-Duby R (2013) Mending broken hearts: cardiac development as a basis for adult heart regeneration and repair. Nat Rev Mol Cell Biol 14:529\u2013541","journal-title":"Nat Rev Mol Cell Biol"},{"key":"17_CR103","doi-asserted-by":"publisher","first-page":"3024","DOI":"10.1161\/01.CIR.0000101923.54751.77","volume":"108","author":"Y Zou","year":"2003","unstructured":"Zou Y, Zhu W, Sakamoto M, Qin Y, Akazawa H, Toko H, Mizukami M, Takeda N, Minamino T, Takano H, Nagai T, Nakai A, Komuro I (2003) Heat shock transcription factor 1 protects cardiomyocytes from ischemia\/reperfusion injury. Circulation 108:3024\u20133030","journal-title":"Circulation"}],"container-title":["Advances in Experimental Medicine and Biology","Molecular, Cellular, and Tissue Engineering of the Vascular System"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-032-22285-5_17","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,7,8]],"date-time":"2026-07-08T22:24:50Z","timestamp":1783549490000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-032-22285-5_17"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026]]},"ISBN":["9783032222848","9783032222855"],"references-count":103,"URL":"https:\/\/doi.org\/10.1007\/978-3-032-22285-5_17","relation":{},"ISSN":["0065-2598","2214-8019"],"issn-type":[{"value":"0065-2598","type":"print"},{"value":"2214-8019","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026]]},"assertion":[{"value":"4 March 2026","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}