A mathematical model to quantitate histamine release from basophils challenged in vitro with insect venom

James A. Hokanson, J. Andrew Grant, Michael Lett-Brown, R. Allen White

Research output: Contribution to journalArticle

Abstract

Using a two parameter mathematical model, it was possible to describe clinically obtained data from histamine release (HR) in vitro as a response to basophils challenged by insect venom. The Gompertz function used in this model not only reflects the observed HR data but can be used to predict maximal HR values from initial lower antigen concentrations HR determinations. The model was used to calculate the concentration of venom antigens releasing 25% of total intracellular histamine (HR25). This is clinically significant in that while knowledge of the HR25, or any other reference fraction, facilitates comparisons between allergic patients, it is impossible to empirically administer venom antigen concentrations that will produce exactly HR25 in a given clinical setting.

Original languageEnglish (US)
Pages (from-to)239-246
Number of pages8
JournalComputers in Biology and Medicine
Volume15
Issue number5
DOIs
StatePublished - 1985

Fingerprint

Basophils
Histamine Release
Venoms
Antigens
Insects
Theoretical Models
Mathematical models
Statistical Models
Histamine
In Vitro Techniques

Keywords

  • Allergic reaction
  • Clinically relevant
  • Gompertz function
  • Histamine release
  • Mathematical model
  • Predictive response

ASJC Scopus subject areas

  • Computer Science Applications

Cite this

A mathematical model to quantitate histamine release from basophils challenged in vitro with insect venom. / Hokanson, James A.; Grant, J. Andrew; Lett-Brown, Michael; White, R. Allen.

In: Computers in Biology and Medicine, Vol. 15, No. 5, 1985, p. 239-246.

Research output: Contribution to journalArticle

Hokanson, James A. ; Grant, J. Andrew ; Lett-Brown, Michael ; White, R. Allen. / A mathematical model to quantitate histamine release from basophils challenged in vitro with insect venom. In: Computers in Biology and Medicine. 1985 ; Vol. 15, No. 5. pp. 239-246.
@article{ecfb87ff74204b2986809accdf055a6a,
title = "A mathematical model to quantitate histamine release from basophils challenged in vitro with insect venom",
abstract = "Using a two parameter mathematical model, it was possible to describe clinically obtained data from histamine release (HR) in vitro as a response to basophils challenged by insect venom. The Gompertz function used in this model not only reflects the observed HR data but can be used to predict maximal HR values from initial lower antigen concentrations HR determinations. The model was used to calculate the concentration of venom antigens releasing 25{\%} of total intracellular histamine (HR25). This is clinically significant in that while knowledge of the HR25, or any other reference fraction, facilitates comparisons between allergic patients, it is impossible to empirically administer venom antigen concentrations that will produce exactly HR25 in a given clinical setting.",
keywords = "Allergic reaction, Clinically relevant, Gompertz function, Histamine release, Mathematical model, Predictive response",
author = "Hokanson, {James A.} and Grant, {J. Andrew} and Michael Lett-Brown and White, {R. Allen}",
year = "1985",
doi = "10.1016/0010-4825(85)90007-1",
language = "English (US)",
volume = "15",
pages = "239--246",
journal = "Computers in Biology and Medicine",
issn = "0010-4825",
publisher = "Elsevier Limited",
number = "5",

}

TY - JOUR

T1 - A mathematical model to quantitate histamine release from basophils challenged in vitro with insect venom

AU - Hokanson, James A.

AU - Grant, J. Andrew

AU - Lett-Brown, Michael

AU - White, R. Allen

PY - 1985

Y1 - 1985

N2 - Using a two parameter mathematical model, it was possible to describe clinically obtained data from histamine release (HR) in vitro as a response to basophils challenged by insect venom. The Gompertz function used in this model not only reflects the observed HR data but can be used to predict maximal HR values from initial lower antigen concentrations HR determinations. The model was used to calculate the concentration of venom antigens releasing 25% of total intracellular histamine (HR25). This is clinically significant in that while knowledge of the HR25, or any other reference fraction, facilitates comparisons between allergic patients, it is impossible to empirically administer venom antigen concentrations that will produce exactly HR25 in a given clinical setting.

AB - Using a two parameter mathematical model, it was possible to describe clinically obtained data from histamine release (HR) in vitro as a response to basophils challenged by insect venom. The Gompertz function used in this model not only reflects the observed HR data but can be used to predict maximal HR values from initial lower antigen concentrations HR determinations. The model was used to calculate the concentration of venom antigens releasing 25% of total intracellular histamine (HR25). This is clinically significant in that while knowledge of the HR25, or any other reference fraction, facilitates comparisons between allergic patients, it is impossible to empirically administer venom antigen concentrations that will produce exactly HR25 in a given clinical setting.

KW - Allergic reaction

KW - Clinically relevant

KW - Gompertz function

KW - Histamine release

KW - Mathematical model

KW - Predictive response

UR - http://www.scopus.com/inward/record.url?scp=0021840250&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0021840250&partnerID=8YFLogxK

U2 - 10.1016/0010-4825(85)90007-1

DO - 10.1016/0010-4825(85)90007-1

M3 - Article

C2 - 2412758

AN - SCOPUS:0021840250

VL - 15

SP - 239

EP - 246

JO - Computers in Biology and Medicine

JF - Computers in Biology and Medicine

SN - 0010-4825

IS - 5

ER -