Stochastic Field Theory of Tumors: A Physical Framework for Tumor Initiation, Progression, Evolution, and Therapy Responses

Tumors, especially malignant tumors, are diseases of uncontrolled proliferation. The most fundamental properties of malignant tumors, including nongenetic heterogeneity, the necessity of supporting tissues, rarity of occurrence, and inevitable therapy resistant relapses, remain unexplained by mutation-centric models. Here, we provide a multiscale tumor model rooted in first principles. The central premise of the model is that globally arbitrary accesses of chromatins in a cell unleash a repertoire of stochastic gene expression modules, including proliferation, death, stemness, EMT, angiogenesis, neurogenesis, fibrogenesis, and inflammation, that compete for finite transcriptional resources and are antagonized by the differentiation program that drive the tumor cell along its differentiation pathway from what it originates. A tumor can only become clinically diseases when it successfully self-organizes a complete supporting stroma of blood vessels, nerves, connective tissues, and an inflammation-driven clearance cycle, thereby locking into a self-provisioning, noise-driven, evolvable dissipative structure. The model visualizes the probability of tumor formation across pediatric and adult contexts, the therapeutic responses, the phases of tumorigenesis and the nature of tumors and displays testable predictions, such as prognostically favorable and poor tumor cell subpopulations. By providing a unified physical theory of tumors, the model activates new interdisciplinary research areas aimed at understanding and controlling tumors.

Authors

Publication Details

Journal
Preprints.org
Published
2026-10-26
DOI
https://doi.org/10.20944/preprints202609.0891.v2
Primary Topic
Mathematical Biology Tumor Growth
Type
preprint
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preprint

Stochastic Field Theory of Tumors: A Physical Framework for Tumor Initiation, Progression, Evolution, and Therapy Responses

莫显明, Hong Xu
Preprints.org
Mathematical Biology Tumor Growth
preprint

Stochastic Field Theory of Tumors: A Physical Framework for Tumor Initiation, Progression, Evolution, and Therapy Responses

莫显明, Hong Xu
preprint en

Abstract

Tumors, especially malignant tumors, are diseases of uncontrolled proliferation. The most fundamental properties of malignant tumors, including nongenetic heterogeneity, the necessity of supporting tissues, rarity of occurrence, and inevitable therapy resistant relapses, remain unexplained by mutation-centric models. Here, we provide a multiscale tumor model rooted in first principles. The central premise of the model is that globally arbitrary accesses of chromatins in a cell unleash a repertoire of stochastic gene expression modules, including proliferation, death, stemness, EMT, angiogenesis, neurogenesis, fibrogenesis, and inflammation, that compete for finite transcriptional resources and are antagonized by the differentiation program that drive the tumor cell along its differentiation pathway from what it originates. A tumor can only become clinically diseases when it successfully self-organizes a complete supporting stroma of blood vessels, nerves, connective tissues, and an inflammation-driven clearance cycle, thereby locking into a self-provisioning, noise-driven, evolvable dissipative structure. The model visualizes the probability of tumor formation across pediatric and adult contexts, the therapeutic responses, the phases of tumorigenesis and the nature of tumors and displays testable predictions, such as prognostically favorable and poor tumor cell subpopulations. By providing a unified physical theory of tumors, the model activates new interdisciplinary research areas aimed at understanding and controlling tumors.

Preprints.org
Mathematical Biology Tumor Growth
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