Existence of Life in Lenia

Calcaterra, Craig; Boldt, Axel

doi:10.48550/arxiv.2203.14390

Cited by 2 publications

(2 citation statements)

References 9 publications

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“…Lenia is classified as a system of integro-differential equations (IDE) 23 . IDEs have been used to study cancer progression 24 and treatment 25 or to find approximations of stochastic ABMs in cancer 26 , but these formulations often focus on how interaction kernels alter the time scale of dynamics or the system stability.…”

Section: Spatio-temporal Models Of Cancer Growth Dynamicsmentioning

confidence: 99%

Spatial interactions modulate tumor growth and immune infiltration

Marzban,

Srivastava,

Kartika

et al. 2024

Preprint

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Lenia, a cellular automata framework used in artificial life, provides a natural setting to design, implement, and analyze mathematical models of cancer progression and treatment. Lenia's suitability as a cancer model is derived from the strong parallels between artificial life and cancer evolution: morphogenesis, homeostasis, motility, reproduction, growth, stimuli response, evolvability, and adaptation. Historically, agent-based models of cancer progression have been constructed with rules that govern birth, death and migration based on local availability for space, with attempts to map local rules to emergent global growth dynamics. Lenia provides a flexible framework for considering a spectrum of local (cell-scale) to global (tumor-scale) dynamics by defining an interaction kernel governing density-dependent growth dynamics. First, we show Lenia can recapitulate a range of cancer model classifications including local or global, deterministic or stochastic, non-spatial or spatial, single or multi-population, and off or on-lattice. Lenia is subsequently used to develop data-informed models of 1) single-population growth dynamics, 2) multi-population cell-cell competition models, and 3) cell migration or chemotaxis.

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Section: Spatio-temporal Models Of Cancer Growth Dynamicsmentioning

confidence: 99%

Spatial interactions modulate tumor growth and immune infiltration

Marzban,

Srivastava,

Kartika

et al. 2024

Preprint

View full text Add to dashboard Cite

show abstract

“…Lenia is classified as a system of integro-differential equations (IDE) 25 . IDEs have been used to study cancer progression 26 and treatment 27 or to find approximations of stochastic ABMs in cancer 28 , but these formulations often focus on how interaction kernels alter the time scale of dynamics or the system stability.…”

Section: Spatio-temporal Models Of Cancer Growth Dynamicsmentioning

confidence: 99%

Spatial interactions modulate tumor growth and immune infiltration

West,

Marzban,

Srivast

et al. 2024

Preprint

View full text Add to dashboard Cite

Lenia, a cellular automata framework used in artificial life, provides a natural setting to implement mathematical models of cancer incorporating features such as morphogenesis, homeostasis, motility, reproduction, growth, stimuli response, evolvability, and adaptation. Historically, agent-based models of cancer progression have been constructed with rules that govern birth, death and migration, with attempts to map local rules to emergent global growth dynamics. In contrast, Lenia provides a flexible framework for considering a spectrum of local (cell-scale) to global (tumor-scale) dynamics by defining an interaction kernel governing density-dependent growth dynamics. Lenia can recapitulate a range of cancer model classifications including local or global, deterministic or stochastic, non-spatial or spatial, single or multi-population, and off or on-lattice. Lenia is subsequently used to develop data-informed models of 1) single-population growth dynamics, 2) multi-population cell-cell competition models, and 3) cell migration or chemotaxis. Mathematical modeling provides important mechanistic insights. First, short-range interaction kernels provide a mechanism for tumor cell survival under conditions with strong Allee effects. Next, we find that asymmetric interaction tumor-immune kernels lead to poor immune response. Finally, modeling recapitulates immune-ECM interactions where patterns of collagen formation provide immune protection, indicated by an emergent inverse relationship between disease stage and immune coverage.

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Existence of Life in Lenia

Cited by 2 publications

References 9 publications

Spatial interactions modulate tumor growth and immune infiltration

Spatial interactions modulate tumor growth and immune infiltration

Spatial interactions modulate tumor growth and immune infiltration

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