Related Experiment Video
Updated: Jul 16, 2025
08:50
Longitudinal Morphological and Physiological Monitoring of Three-dimensional Tumor Spheroids Using Optical Coherence Tomography
Published on: February 9, 2019
7.7K
Logistic tumor-population growth and ghost-points symmetry
Biorxiv : the Preprint Server for Biology
|September 11, 2023
Summary
This study introduces a novel method using logistic function symmetry to estimate tumor growth rates and carrying capacity more efficiently from limited clinical data. This approach significantly reduces estimation time, improving tumor dynamics forecasting and clinical decision-making.
Area of Science:
- Mathematical Biology
- Oncology
- Population Dynamics
Background:
- Population growth is often modeled using the logistic function, with initial exponential growth capped by a carrying capacity.
- In mathematical oncology, carrying capacity is considered patient-specific and co-evolving with the tumor.
- Estimating the tumor-to-carrying capacity ratio is crucial for predicting tumor growth and treatment response.
Conclusions:
- The rotation symmetry method offers a more efficient way to estimate key tumor growth parameters.
- This advancement can enhance the accuracy of tumor dynamics forecasting.
- The findings support improved clinical decision-making in oncology.
Related Concept Videos
01:14Parametric Survival Analysis: Weibull and Exponential Methods
469
Parametric survival analysis models survival data by assuming a specific probability distribution for the time until an event occurs. The Weibull and exponential distributions are two of the most commonly used methods in this context, due to their versatility and relatively straightforward application.
Weibull Distribution
The Weibull distribution is a flexible model used in parametric survival analysis. It can handle both increasing and decreasing hazard rates, depending on its shape parameter...
Weibull Distribution
The Weibull distribution is a flexible model used in parametric survival analysis. It can handle both increasing and decreasing hazard rates, depending on its shape parameter...
469
01:27Gauss's Law: Planar Symmetry
8.0K
A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...
8.0K
01:29Life Histories
18.0K
Overview
18.0K
01:26Gauss's Law: Spherical Symmetry
7.6K
A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half...
7.6K
01:18Survival Curves
194
Survival curves are graphical representations that depict the survival experience of a population over time, offering an intuitive way to track the proportion of individuals who remain event-free at each time point. These curves are widely used in fields such as medicine, public health, and reliability engineering to visualize and compare survival probabilities across different groups or conditions.
The Kaplan-Meier estimator is the most common method for constructing survival curves. This...
The Kaplan-Meier estimator is the most common method for constructing survival curves. This...
194
02:07Tumor Progression
6.4K
Tumor progression is a phenomenon where the pre-formed tumor acquires successive mutations to become clinically more aggressive and malignant. In the 1950s, Foulds first described the stepwise progression of cancer cells through successive stages.
Colon cancer is one of the best-documented examples of tumor progression. Early mutation in the APC gene in colon cells causes a small growth on the colon wall called a polyp. With time, this polyp grows into a benign, pre-cancerous tumor. Further...
Colon cancer is one of the best-documented examples of tumor progression. Early mutation in the APC gene in colon cells causes a small growth on the colon wall called a polyp. With time, this polyp grows into a benign, pre-cancerous tumor. Further...
6.4K