{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,6]],"date-time":"2026-10-06T12:04:39Z","timestamp":1791288279379,"version":"4.3.0"},"reference-count":43,"publisher":"AIP Publishing","issue":"1","content-domain":{"domain":["pubs.aip.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2012,3,1]]},"abstract":"<jats:p>Complex tumor-host interactions can significantly affect the growth dynamics and morphologies of progressing neoplasms. The growth of a confined solid tumor induces mechanical pressure and deformation of the surrounding microenvironment, which in turn influences tumor growth. In this paper, we generalize a recently developed cellular automaton model for invasive tumor growth in heterogeneous microenvironments [Y. Jiao and S. Torquato, PLoS Comput. Biol.\u20087, e1002314 (2011)] by incorporating the effects of pressure. Specifically, we explicitly model the pressure exerted on the growing tumor due to the deformation of the microenvironment and its effect on the local tumor-host interface instability. Both noninvasive-proliferative growth and invasive growth with individual cells that detach themselves from the primary tumor and migrate into the surrounding microenvironment are investigated. We find that while noninvasive tumors growing in \u201csoft\u201d homogeneous microenvironments develop almost isotropic shapes, both high pressure and host heterogeneity can strongly enhance malignant behavior, leading to finger-like protrusions of the tumor surface. Moreover, we show that individual invasive cells of an invasive tumor degrade the local extracellular matrix at the tumor-host interface, which diminishes the fingering growth of the primary tumor. The implications of our results for cancer diagnosis, prognosis and therapy are discussed.<\/jats:p>","DOI":"10.1063\/1.3697959","type":"journal-article","created":{"date-parts":[[2012,3,23]],"date-time":"2012-03-23T15:06:55Z","timestamp":1332515215000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":20,"title":["Diversity of dynamics and morphologies of invasive solid tumors"],"prefix":"10.1063","volume":"2","author":[{"given":"Yang","family":"Jiao","sequence":"first","affiliation":[{"name":"Princeton University 1 Physical Science in Oncology Center, , Princeton, New Jersey 08544, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Salvatore","family":"Torquato","sequence":"additional","affiliation":[{"name":"Princeton University 1 Physical Science in Oncology Center, , Princeton, New Jersey 08544, USA"},{"name":"Princeton University 2 Department of Chemistry, , Princeton, New Jersey 08544, USA"},{"name":"Princeton University 3 Department of Physics, , Princeton, New Jersey 08544, USA"},{"name":"Princeton University 4 Princeton Center for Theoretical Science, , Princeton, New Jersey 08544, USA"},{"name":"Princeton University 5 Program in Applied and Computational Mathematics, , Princeton, New Jersey 08544, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"317","published-online":{"date-parts":[[2012,3,21]]},"reference":[{"key":"2023061718084462000_c1","doi-asserted-by":"publisher","first-page":"882","DOI":"10.1038\/nm0898-882","volume":"4","year":"1998","journal-title":"Nat. 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