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A mathematical model for self-limiting brain tumors
Journal of Theoretical Biology, 2003It is puzzling that certain brain tumors exhibit arrested exponential growth. We have observed in pediatric low-grade astrocytomas (LGA) at a certain volume approximately 100-150 cm(3) that the tumor ceases to grow. This observation led us to develop a macroscopic mathematical model for LGA growth kinetics that assumes the flow through the surface of ...
Newman, William I., Lazareff, Jorge A.
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Indications for limited echocardiographic imaging: A mathematical model
Journal of the American Society of Echocardiography, 2000Few data exist on the magnitude of potential time savings obtained by using a limited echocardiographic (echo) imaging strategy on a referral population.A mathematical model of a limited echo screening strategy was devised that used as variables the length of the limited examination and the probability of detecting the referral diagnosis or a ...
B J, Kimura, A N, Demaria
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Mathematical Detectability Limits and Signal Perception
The Journal of the Acoustical Society of America, 1960Several theoretical limits on detectability of a known signal in Gaussian noise have been obtained. They differ in their characterization of the noise as being Fourier series bandlimited, being spectrum bandlimited, or having a rational spectrum. Some of the resulting limits differ widely, and the question may be asked which should be applied to ...
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Limit-Computable Mathematics and Its Applications
2002Limit-Computable Mathematics (LCM) is a fragment of classical mathematics in which classical principles are restricted so that the existence theorems are realized by limiting recursive functions. LCM is expected to be a right means for "Proof Animation," which was introduced by the first author. In the lecture, some mathematical foundations of LCM will
Susumu Hayashi, Yohji Akama
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Mathematical Modeling of Immunosenescence: Scenarios, Processes and Limitations
2009Mathematical modeling of immunosenescence is the new area of research emerging at the interface of the immunology, gerontology, and mathematics. In this paper we outline basic variables important for modeling aging immunity. We discuss the role of evolution in shaping pattern of aging in the immune system of modern humans.
A. A. Romanyukha +3 more
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Overcoming Shockley-Queisser limit using halide perovskite platform?
Joule, 2022Yuchen Hou, Tao Ye, Dong Yang
exaly
Mathematics and the Limits of Language
Abstract This chapter offers a mathematical perspective on the question of linguistic idealism in order to challenge the claim that for the world to exist it must be expressible. On the basis of three mathematical case studies—modus ponens, the consistency of mathematics, and statistical models of the prime numbers—the chapter draws a ...openaire +1 more source
Mathematical Methods for Hydrodynamic Limits
1991DE MASI, Anna, PRESUTTI E.
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