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Stable stationary states and dynamics of the self-limiting autocatalytic cycle.
العنوان: | Stable stationary states and dynamics of the self-limiting autocatalytic cycle. |
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المؤلفون: | Luigi Conte, Francesco Gonella, Andrea Giansanti, Axel Kleidon, Alessandra Romano |
سنة النشر: | 2023 |
مصطلحات موضوعية: | Biotechnology, Evolutionary Biology, Ecology, Cancer, Hematology, Environmental Sciences not elsewhere classified, Biological Sciences not elsewhere classified, Mathematical Sciences not elsewhere classified, multiple myeloma evolution, called multiple myeloma, transition times obtained, minimal ecological approach, internal cellular structures, larger complex system, model cell metabolisms, cell populations, ecological model, ecological interactions, cellular systems, cellular scale, uses language, uncontrolled proliferation, survival times, simulations range, regime shifts, plasma cells, microenvironmental factors, limited resources, incurable nature, general formulation |
الوصف: | Panel (A) shows the model state space defined by the curves for the power (bold black), P ( Q ) = r · Q ·(1− Q / K ), the heat flow (black), J h ( Q ) = P ( Q )/ η and the stability potential (dot dashed), V ( Q ) = a · Q 3 + b · Q 2 (coefficients in Eq 8 ). The colored dots on the curves represent the steady-states for P , Jh and V as a function of Q ( 0 < Q) for the three possible different growth regimes, respectively, defined by the product r·τ : sub-optimal, r·τ = 1 . 5 (azure), optimal or maximum power state ( Pmax ), r·τ = 2 (blue), and super-optimal, r·τ = 10 (dark-blue). This is associated with the stock N = K-Q (dashed lines) that decreases for increasing Q to fulfill the mass balance constraint. Panels (B) and (C) show the time evolution associated with the configurations defined by the three different growth regimes (azure, blue, dark blue), respectively, for the stocks Q and N (dashed), and for the flows P and Jh . Panel (D) shows the application of the formulation to estimate the stationary states of normal and neoplastic plasma cells. |
نوع الوثيقة: | still image |
اللغة: | unknown |
Relation: | https://figshare.com/articles/figure/Stable_stationary_states_and_dynamics_of_the_self-limiting_autocatalytic_cycle_/24529360 |
DOI: | 10.1371/journal.pcbi.1011607.g008 |
الاتاحة: | https://doi.org/10.1371/journal.pcbi.1011607.g008 https://figshare.com/articles/figure/Stable_stationary_states_and_dynamics_of_the_self-limiting_autocatalytic_cycle_/24529360 |
Rights: | CC BY 4.0 |
رقم الانضمام: | edsbas.7F931172 |
قاعدة البيانات: | BASE |
DOI: | 10.1371/journal.pcbi.1011607.g008 |
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