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Table 2 Comparison of current math models versus CICD model

From: Cancer immune control dynamics: a clinical data driven model of systemic immunity in patients with metastatic melanoma

 

Current modeling approaches

CICD modeling

Modeling equations

Ordinary differential equations

Ordinary differential equation

Delayed differential equations

Partial differential equations

Stochastic differential equations

Agent based models

Cellular automata

Multiscale/hybrid

Equations

Multiple combinations

One large matrix equation

Parameters

Multiple, limited by availability

Unlimited

Measured experimentally and/or estimated theoretically

All are computed

All possible time varying parameters are contained within the unknown value in the Kolmogorov–Gabor Polynomial

Biomarkers

Limited, most less than 10

Expandable, currently 50

Data Measurement

Measured experimentally and/or estimated theoretically

Sequential daily blood draw

Number of Biomarker Relationships

Limited by current knowledge

Currently 28,605 including all biologically possible relationships

Biomarker Relationships Used

Only known relationships are modeled

All biologically possible relationships can be included

Results

Deterministic or Probabilistic

Deterministic

Generalized and/or Individualize relative to parameter and patient data availability

Individualize to patient data measurements

  1. A side-by-side comparison highlights the advantages of the flexible CICD approach. These advantages include one simple expandable equation, no estimated parametrization, large numbers of biomarkers and multi-dimensional relationships can be included, and an individualized model of their own immune system generated directly from their own data. As compared to the generalized, parameter dependent modeling found in the current literature