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[BOEK][B] Introduction to mathematical oncology
Y Kuang, JD Nagy, SE Eikenberry - 2018 - taylorfrancis.com
Introduction to Mathematical Oncology presents biologically well-motivated and
mathematically tractable models that facilitate both a deep understanding of cancer biology …
mathematically tractable models that facilitate both a deep understanding of cancer biology …
Quiescence as an explanation of Gompertzian tumor growth revisited
Gompertz's empirical equation remains the most popular one in describing cancer cell
population growth in a wide spectrum of bio-medical situations due to its good fit to data and …
population growth in a wide spectrum of bio-medical situations due to its good fit to data and …
Stability and bifurcation in a stoichiometric producer-grazer model with knife edge
X Yang, X Li, H Wang, Y Kuang - SIAM Journal on Applied Dynamical Systems, 2016 - SIAM
All organisms are composed of multiple chemical elements such as nitrogen (N),
phosphorus (P), and carbon (C). P is essential to build nucleic acids (DNA and RNA) and N …
phosphorus (P), and carbon (C). P is essential to build nucleic acids (DNA and RNA) and N …
Predicting inter-individual variability during lipid resuscitation of bupivacaine cardiotoxicity in rats: a virtual population modeling study
Introduction Intravenous lipid emulsions (ILE) have been credited for successful
resuscitation in drug intoxication cases where other cardiac life-support methods have …
resuscitation in drug intoxication cases where other cardiac life-support methods have …
[PDF][PDF] Nutrient limitations as an explanation of Gompertzian tumor growth
An intuitive and influential two-compartment model of cancer cell growth proposed by
Gyllenberg and Webb in 1989 [18] with transition rates between proliferating and quiescent …
Gyllenberg and Webb in 1989 [18] with transition rates between proliferating and quiescent …
[PDF][PDF] Design of personalized cancer treatments by use of optimal control problems: The case of chronic myeloid leukemia
The advances in the mathematical explanation of the dynamics underlying treated cancer
has opened the door to the mathematical design of optimal therapies. In parallel, the …
has opened the door to the mathematical design of optimal therapies. In parallel, the …
[PDF][PDF] Tumor growth dynamics with nutrient limitation and cell proliferation time delay
It is known that avascular spherical solid tumors grow monotonically, often tends to a limiting
final size. This is repeatedly confirmed by various mathematical models consisting of mostly …
final size. This is repeatedly confirmed by various mathematical models consisting of mostly …
[CITAAT][C] DYNAMICS AND IMPLICATIONS OF A NONLINEAR AVASCULAR TUMOR GROWTH MODEL
Y Kuang, EO Alzahrani