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Hyperbolastic functions

The hyperbolastic functions, also known as hyperbolastic growth models, are mathematical functions that are used in medical statistical modeling. These models were originally developed to capture the growth dynamics of multicellular tumor spheres, and were introduced in 2005 by Mohammad Tabatabai, David Williams, and Zoran Bursac. The precision of…

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Applications

Differential equation Ehrlich carcinoma Stochastic diffusion Maximum likelihood estimation Diffusion process

11 related topics

Function H3

Probability distributions Shape parameter Weibull distribution Cumulative distribution function Probability density function

7 related topics

Hyperbolastic regressions

Statistical models Dichotomous Multinomial Endoscopic Anemia

7 related topics

Function H1

Real number Inverse hyperbolic sine Logistic function

3 related topics

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Overview

Mathematical functions Function (mathematics)
Statistical modeling
Stem cell
Activation function
Neural networks
Carrying capacity
Sigmoidal curve
Agronomy
Shannon information
Information entropy
Cross-entropy

Function H1

Function H2

Hyperbolic tangent

Function H3

Applications

Hyperbolastic regressions

Statistical models
Dichotomous
Multinomial Multinomial logistic regression
Endoscopic
Anemia
Adnexal mass
Logit

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Hyperbolastic functions

Nodes47

Edges46

Triples14

Avg. degree1.96

Density0.042553

Components1

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Hyperbolastic functions

Top relations

related to Hyperbolastic regressions · 5

Hyperbolastic functions → For, Hyperbolastic, In, The, These

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Important terminology

hyperbolastic displaystyle type function growth functions binary parameter regression model information beta used h1 models theta defined rate h2 entropy

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
tumor growth	instance of	These functions can be used in a wide variety of modeling problems	0.80	text
stem cell proliferation	instance of	These functions can be used in a wide variety of modeling problems	0.80	text
pharma kinetics	instance of	These functions can be used in a wide variety of modeling problems	0.80	text
cancer growth	instance of	These functions can be used in a wide variety of modeling problems	0.80	text
sigmoid activation function in neural networks	instance of	These functions can be used in a wide variety of modeling problems	0.80	text
and epidemiological disease progression or regression.The hyperbolastic functions can model both growth	instance of	These functions can be used in a wide variety of modeling problems	0.80	text
decay curves until it reaches carrying capacity	instance of	These functions can be used in a wide variety of modeling problems	0.80	text
classification modeling	instance of	The Information entropy has many applications in machine learning and artificial intelligence	0.80	text
decision trees	instance of	The Information entropy has many applications in machine learning and artificial intelligence	0.80	text
Hyperbolastic functions	related to Hyperbolastic regressions	Hyperbolastic	0.60	section
Hyperbolastic functions	related to Hyperbolastic regressions	The	0.60	section
Hyperbolastic functions	related to Hyperbolastic regressions	These	0.60	section

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