Global Magneto-responsive Polymer Market 2026 by Manufacturers, Regions, Type and Application, Forecast to 2032
1 Market Overview
- 1.1 Product Overview and Scope
- 1.2 Market Estimation Caveats and Base Year
- 1.3 Market Analysis by Type
- 1.3.1 Overview: Global Magneto-responsive Polymer Consumption Value by Type: 2021 Versus 2025 Versus 2032
- 1.3.2 Isotropic Magneto-responsive Polymer
- 1.3.3 Anisotropic Magneto-responsive Polymer
- 1.4 Market Analysis by Mechanical Stiffness
- 1.4.1 Overview: Global Magneto-responsive Polymer Consumption Value by Mechanical Stiffness: 2021 Versus 2025 Versus 2032
- 1.4.2 <100 kPa
- 1.4.3 0.1–10 MPa
- 1.4.4 10–500 MPa
- 1.4.5 >500 MPa
- 1.5 Market Analysis by Application
- 1.5.1 Overview: Global Magneto-responsive Polymer Consumption Value by Application: 2021 Versus 2025 Versus 2032
- 1.5.2 Healthcare
- 1.5.3 Electronic
- 1.5.4 Others
- 1.6 Global Magneto-responsive Polymer Market Size & Forecast
- 1.6.1 Global Magneto-responsive Polymer Consumption Value (2021 & 2025 & 2032)
- 1.6.2 Global Magneto-responsive Polymer Sales Quantity (2021-2032)
- 1.6.3 Global Magneto-responsive Polymer Average Price (2021-2032)
2 Manufacturers Profiles
- 2.1 BASF (Germany)
- 2.1.1 BASF (Germany) Details
- 2.1.2 BASF (Germany) Major Business
- 2.1.3 BASF (Germany) Magneto-responsive Polymer Product and Services
- 2.1.4 BASF (Germany) Magneto-responsive Polymer Sales Quantity, Average Price, Revenue, Gross Margin and Market Share (2021-2026)
- 2.1.5 BASF (Germany) Recent Developments/Updates
- 2.2 Dow (USA)
- 2.2.1 Dow (USA) Details
- 2.2.2 Dow (USA) Major Business
- 2.2.3 Dow (USA) Magneto-responsive Polymer Product and Services
- 2.2.4 Dow (USA) Magneto-responsive Polymer Sales Quantity, Average Price, Revenue, Gross Margin and Market Share (2021-2026)
- 2.2.5 Dow (USA) Recent Developments/Updates
- 2.3 DuPont (USA)
- 2.3.1 DuPont (USA) Details
- 2.3.2 DuPont (USA) Major Business
- 2.3.3 DuPont (USA) Magneto-responsive Polymer Product and Services
- 2.3.4 DuPont (USA) Magneto-responsive Polymer Sales Quantity, Average Price, Revenue, Gross Margin and Market Share (2021-2026)
- 2.3.5 DuPont (USA) Recent Developments/Updates
- 2.4 Covestro (Germany)
- 2.4.1 Covestro (Germany) Details
- 2.4.2 Covestro (Germany) Major Business
- 2.4.3 Covestro (Germany) Magneto-responsive Polymer Product and Services
- 2.4.4 Covestro (Germany) Magneto-responsive Polymer Sales Quantity, Average Price, Revenue, Gross Margin and Market Share (2021-2026)
- 2.4.5 Covestro (Germany) Recent Developments/Updates
- 2.5 Evonik (Germany)
- 2.5.1 Evonik (Germany) Details
- 2.5.2 Evonik (Germany) Major Business
- 2.5.3 Evonik (Germany) Magneto-responsive Polymer Product and Services
- 2.5.4 Evonik (Germany) Magneto-responsive Polymer Sales Quantity, Average Price, Revenue, Gross Margin and Market Share (2021-2026)
- 2.5.5 Evonik (Germany) Recent Developments/Updates
- 2.6 Huntsman (USA)
- 2.6.1 Huntsman (USA) Details
- 2.6.2 Huntsman (USA) Major Business
- 2.6.3 Huntsman (USA) Magneto-responsive Polymer Product and Services
- 2.6.4 Huntsman (USA) Magneto-responsive Polymer Sales Quantity, Average Price, Revenue, Gross Margin and Market Share (2021-2026)
- 2.6.5 Huntsman (USA) Recent Developments/Updates
- 2.7 Celanese (USA)
- 2.7.1 Celanese (USA) Details
- 2.7.2 Celanese (USA) Major Business
- 2.7.3 Celanese (USA) Magneto-responsive Polymer Product and Services
- 2.7.4 Celanese (USA) Magneto-responsive Polymer Sales Quantity, Average Price, Revenue, Gross Margin and Market Share (2021-2026)
- 2.7.5 Celanese (USA) Recent Developments/Updates
- 2.8 LyondellBasell (Netherlands)
- 2.8.1 LyondellBasell (Netherlands) Details
- 2.8.2 LyondellBasell (Netherlands) Major Business
- 2.8.3 LyondellBasell (Netherlands) Magneto-responsive Polymer Product and Services
- 2.8.4 LyondellBasell (Netherlands) Magneto-responsive Polymer Sales Quantity, Average Price, Revenue, Gross Margin and Market Share (2021-2026)
- 2.8.5 LyondellBasell (Netherlands) Recent Developments/Updates
- 2.9 SABIC (Saudi Arabia)
- 2.9.1 SABIC (Saudi Arabia) Details
- 2.9.2 SABIC (Saudi Arabia) Major Business
- 2.9.3 SABIC (Saudi Arabia) Magneto-responsive Polymer Product and Services
- 2.9.4 SABIC (Saudi Arabia) Magneto-responsive Polymer Sales Quantity, Average Price, Revenue, Gross Margin and Market Share (2021-2026)
- 2.9.5 SABIC (Saudi Arabia) Recent Developments/Updates
- 2.10 ExxonMobil (USA)
- 2.10.1 ExxonMobil (USA) Details
- 2.10.2 ExxonMobil (USA) Major Business
- 2.10.3 ExxonMobil (USA) Magneto-responsive Polymer Product and Services
- 2.10.4 ExxonMobil (USA) Magneto-responsive Polymer Sales Quantity, Average Price, Revenue, Gross Margin and Market Share (2021-2026)
- 2.10.5 ExxonMobil (USA) Recent Developments/Updates
- 2.11 Arkema (France)
- 2.11.1 Arkema (France) Details
- 2.11.2 Arkema (France) Major Business
- 2.11.3 Arkema (France) Magneto-responsive Polymer Product and Services
- 2.11.4 Arkema (France) Magneto-responsive Polymer Sales Quantity, Average Price, Revenue, Gross Margin and Market Share (2021-2026)
- 2.11.5 Arkema (France) Recent Developments/Updates
- 2.12 Solvay (Belgium)
- 2.12.1 Solvay (Belgium) Details
- 2.12.2 Solvay (Belgium) Major Business
- 2.12.3 Solvay (Belgium) Magneto-responsive Polymer Product and Services
- 2.12.4 Solvay (Belgium) Magneto-responsive Polymer Sales Quantity, Average Price, Revenue, Gross Margin and Market Share (2021-2026)
- 2.12.5 Solvay (Belgium) Recent Developments/Updates
- 2.13 Mitsubishi Chemical (Japan)
- 2.13.1 Mitsubishi Chemical (Japan) Details
- 2.13.2 Mitsubishi Chemical (Japan) Major Business
- 2.13.3 Mitsubishi Chemical (Japan) Magneto-responsive Polymer Product and Services
- 2.13.4 Mitsubishi Chemical (Japan) Magneto-responsive Polymer Sales Quantity, Average Price, Revenue, Gross Margin and Market Share (2021-2026)
- 2.13.5 Mitsubishi Chemical (Japan) Recent Developments/Updates
- 2.14 Asahi Kasei (Japan)
- 2.14.1 Asahi Kasei (Japan) Details
- 2.14.2 Asahi Kasei (Japan) Major Business
- 2.14.3 Asahi Kasei (Japan) Magneto-responsive Polymer Product and Services
- 2.14.4 Asahi Kasei (Japan) Magneto-responsive Polymer Sales Quantity, Average Price, Revenue, Gross Margin and Market Share (2021-2026)
- 2.14.5 Asahi Kasei (Japan) Recent Developments/Updates
- 2.15 Toray Industries (Japan)
- 2.15.1 Toray Industries (Japan) Details
- 2.15.2 Toray Industries (Japan) Major Business
- 2.15.3 Toray Industries (Japan) Magneto-responsive Polymer Product and Services
- 2.15.4 Toray Industries (Japan) Magneto-responsive Polymer Sales Quantity, Average Price, Revenue, Gross Margin and Market Share (2021-2026)
- 2.15.5 Toray Industries (Japan) Recent Developments/Updates
- 2.16 Sinopec (China)
- 2.16.1 Sinopec (China) Details
- 2.16.2 Sinopec (China) Major Business
- 2.16.3 Sinopec (China) Magneto-responsive Polymer Product and Services
- 2.16.4 Sinopec (China) Magneto-responsive Polymer Sales Quantity, Average Price, Revenue, Gross Margin and Market Share (2021-2026)
- 2.16.5 Sinopec (China) Recent Developments/Updates
- 2.17 PetroChina (China)
- 2.17.1 PetroChina (China) Details
- 2.17.2 PetroChina (China) Major Business
- 2.17.3 PetroChina (China) Magneto-responsive Polymer Product and Services
- 2.17.4 PetroChina (China) Magneto-responsive Polymer Sales Quantity, Average Price, Revenue, Gross Margin and Market Share (2021-2026)
- 2.17.5 PetroChina (China) Recent Developments/Updates
- 2.18 Wanhua Chemical (China)
- 2.18.1 Wanhua Chemical (China) Details
- 2.18.2 Wanhua Chemical (China) Major Business
- 2.18.3 Wanhua Chemical (China) Magneto-responsive Polymer Product and Services
- 2.18.4 Wanhua Chemical (China) Magneto-responsive Polymer Sales Quantity, Average Price, Revenue, Gross Margin and Market Share (2021-2026)
- 2.18.5 Wanhua Chemical (China) Recent Developments/Updates
- 2.19 Kingfa Sci. & Tech. (China)
- 2.19.1 Kingfa Sci. & Tech. (China) Details
- 2.19.2 Kingfa Sci. & Tech. (China) Major Business
- 2.19.3 Kingfa Sci. & Tech. (China) Magneto-responsive Polymer Product and Services
- 2.19.4 Kingfa Sci. & Tech. (China) Magneto-responsive Polymer Sales Quantity, Average Price, Revenue, Gross Margin and Market Share (2021-2026)
- 2.19.5 Kingfa Sci. & Tech. (China) Recent Developments/Updates
- 2.20 Nan Ya Plastics (Taiwan)
- 2.20.1 Nan Ya Plastics (Taiwan) Details
- 2.20.2 Nan Ya Plastics (Taiwan) Major Business
- 2.20.3 Nan Ya Plastics (Taiwan) Magneto-responsive Polymer Product and Services
- 2.20.4 Nan Ya Plastics (Taiwan) Magneto-responsive Polymer Sales Quantity, Average Price, Revenue, Gross Margin and Market Share (2021-2026)
- 2.20.5 Nan Ya Plastics (Taiwan) Recent Developments/Updates
3 Competitive Environment: Magneto-responsive Polymer by Manufacturer
- 3.1 Global Magneto-responsive Polymer Sales Quantity by Manufacturer (2021-2026)
- 3.2 Global Magneto-responsive Polymer Revenue by Manufacturer (2021-2026)
- 3.3 Global Magneto-responsive Polymer Average Price by Manufacturer (2021-2026)
- 3.4 Market Share Analysis (2025)
- 3.4.1 Producer Shipments of Magneto-responsive Polymer by Manufacturer Revenue ($MM) and Market Share (%): 2025
- 3.4.2 Top 3 Magneto-responsive Polymer Manufacturer Market Share in 2025
- 3.4.3 Top 6 Magneto-responsive Polymer Manufacturer Market Share in 2025
- 3.5 Magneto-responsive Polymer Market: Overall Company Footprint Analysis
- 3.5.1 Magneto-responsive Polymer Market: Region Footprint
- 3.5.2 Magneto-responsive Polymer Market: Company Product Type Footprint
- 3.5.3 Magneto-responsive Polymer Market: Company Product Application Footprint
- 3.6 New Market Entrants and Barriers to Market Entry
- 3.7 Mergers, Acquisition, Agreements, and Collaborations
4 Consumption Analysis by Region
- 4.1 Global Magneto-responsive Polymer Market Size by Region
- 4.1.1 Global Magneto-responsive Polymer Sales Quantity by Region (2021-2032)
- 4.1.2 Global Magneto-responsive Polymer Consumption Value by Region (2021-2032)
- 4.1.3 Global Magneto-responsive Polymer Average Price by Region (2021-2032)
- 4.2 North America Magneto-responsive Polymer Consumption Value (2021-2032)
- 4.3 Europe Magneto-responsive Polymer Consumption Value (2021-2032)
- 4.4 Asia-Pacific Magneto-responsive Polymer Consumption Value (2021-2032)
- 4.5 South America Magneto-responsive Polymer Consumption Value (2021-2032)
- 4.6 Middle East & Africa Magneto-responsive Polymer Consumption Value (2021-2032)
5 Market Segment by Type
- 5.1 Global Magneto-responsive Polymer Sales Quantity by Type (2021-2032)
- 5.2 Global Magneto-responsive Polymer Consumption Value by Type (2021-2032)
- 5.3 Global Magneto-responsive Polymer Average Price by Type (2021-2032)
6 Market Segment by Application
- 6.1 Global Magneto-responsive Polymer Sales Quantity by Application (2021-2032)
- 6.2 Global Magneto-responsive Polymer Consumption Value by Application (2021-2032)
- 6.3 Global Magneto-responsive Polymer Average Price by Application (2021-2032)
7 North America
- 7.1 North America Magneto-responsive Polymer Sales Quantity by Type (2021-2032)
- 7.2 North America Magneto-responsive Polymer Sales Quantity by Application (2021-2032)
- 7.3 North America Magneto-responsive Polymer Market Size by Country
- 7.3.1 North America Magneto-responsive Polymer Sales Quantity by Country (2021-2032)
- 7.3.2 North America Magneto-responsive Polymer Consumption Value by Country (2021-2032)
- 7.3.3 United States Market Size and Forecast (2021-2032)
- 7.3.4 Canada Market Size and Forecast (2021-2032)
- 7.3.5 Mexico Market Size and Forecast (2021-2032)
8 Europe
- 8.1 Europe Magneto-responsive Polymer Sales Quantity by Type (2021-2032)
- 8.2 Europe Magneto-responsive Polymer Sales Quantity by Application (2021-2032)
- 8.3 Europe Magneto-responsive Polymer Market Size by Country
- 8.3.1 Europe Magneto-responsive Polymer Sales Quantity by Country (2021-2032)
- 8.3.2 Europe Magneto-responsive Polymer Consumption Value by Country (2021-2032)
- 8.3.3 Germany Market Size and Forecast (2021-2032)
- 8.3.4 France Market Size and Forecast (2021-2032)
- 8.3.5 United Kingdom Market Size and Forecast (2021-2032)
- 8.3.6 Russia Market Size and Forecast (2021-2032)
- 8.3.7 Italy Market Size and Forecast (2021-2032)
9 Asia-Pacific
- 9.1 Asia-Pacific Magneto-responsive Polymer Sales Quantity by Type (2021-2032)
- 9.2 Asia-Pacific Magneto-responsive Polymer Sales Quantity by Application (2021-2032)
- 9.3 Asia-Pacific Magneto-responsive Polymer Market Size by Region
- 9.3.1 Asia-Pacific Magneto-responsive Polymer Sales Quantity by Region (2021-2032)
- 9.3.2 Asia-Pacific Magneto-responsive Polymer Consumption Value by Region (2021-2032)
- 9.3.3 China Market Size and Forecast (2021-2032)
- 9.3.4 Japan Market Size and Forecast (2021-2032)
- 9.3.5 South Korea Market Size and Forecast (2021-2032)
- 9.3.6 India Market Size and Forecast (2021-2032)
- 9.3.7 Southeast Asia Market Size and Forecast (2021-2032)
- 9.3.8 Australia Market Size and Forecast (2021-2032)
10 South America
- 10.1 South America Magneto-responsive Polymer Sales Quantity by Type (2021-2032)
- 10.2 South America Magneto-responsive Polymer Sales Quantity by Application (2021-2032)
- 10.3 South America Magneto-responsive Polymer Market Size by Country
- 10.3.1 South America Magneto-responsive Polymer Sales Quantity by Country (2021-2032)
- 10.3.2 South America Magneto-responsive Polymer Consumption Value by Country (2021-2032)
- 10.3.3 Brazil Market Size and Forecast (2021-2032)
- 10.3.4 Argentina Market Size and Forecast (2021-2032)
11 Middle East & Africa
- 11.1 Middle East & Africa Magneto-responsive Polymer Sales Quantity by Type (2021-2032)
- 11.2 Middle East & Africa Magneto-responsive Polymer Sales Quantity by Application (2021-2032)
- 11.3 Middle East & Africa Magneto-responsive Polymer Market Size by Country
- 11.3.1 Middle East & Africa Magneto-responsive Polymer Sales Quantity by Country (2021-2032)
- 11.3.2 Middle East & Africa Magneto-responsive Polymer Consumption Value by Country (2021-2032)
- 11.3.3 Turkey Market Size and Forecast (2021-2032)
- 11.3.4 Egypt Market Size and Forecast (2021-2032)
- 11.3.5 Saudi Arabia Market Size and Forecast (2021-2032)
- 11.3.6 South Africa Market Size and Forecast (2021-2032)
12 Market Dynamics
- 12.1 Magneto-responsive Polymer Market Drivers
- 12.2 Magneto-responsive Polymer Market Restraints
- 12.3 Magneto-responsive Polymer Trends Analysis
- 12.4 Porters Five Forces Analysis
- 12.4.1 Threat of New Entrants
- 12.4.2 Bargaining Power of Suppliers
- 12.4.3 Bargaining Power of Buyers
- 12.4.4 Threat of Substitutes
- 12.4.5 Competitive Rivalry
13 Raw Material and Industry Chain
- 13.1 Raw Material of Magneto-responsive Polymer and Key Manufacturers
- 13.2 Manufacturing Costs Percentage of Magneto-responsive Polymer
- 13.3 Magneto-responsive Polymer Production Process
- 13.4 Industry Value Chain Analysis
14 Shipments by Distribution Channel
- 14.1 Sales Channel
- 14.1.1 Direct to End-User
- 14.1.2 Distributors
- 14.2 Magneto-responsive Polymer Typical Distributors
- 14.3 Magneto-responsive Polymer Typical Customers
15 Research Findings and Conclusion
16 Appendix
- 16.1 Methodology
- 16.2 Research Process and Data Source
According to our (Global Info Research) latest study, the global Magneto-responsive Polymer market size was valued at US$ 850 million in 2025 and is forecast to a readjusted size of US$ 2065 million by 2032 with a CAGR of 13.5% during review period.
Magneto-responsive polymers are a class of smart (stimuli-responsive) materials that change their mechanical, electrical, or rheological properties—such as stiffness, shape, viscosity, or conductivity—when exposed to an external magnetic field; they are typically engineered by embedding magnetic particles (e.g., iron, magnetite, ferrites, or rare-earth particles) into a polymer matrix such as elastomers, hydrogels, or thermoplastics, enabling applications in soft robotics, actuators, sensors, biomedical devices, and vibration damping systems. The supply chain begins upstream with raw materials including base polymers (silicones, polyurethanes, hydrogels), magnetic fillers (carbonyl iron powder, Fe₃O₄ nanoparticles), and functional additives (surfactants, crosslinkers); midstream involves compounding, dispersion, and fabrication processes (mixing, curing, 3D printing, or molding) to achieve uniform particle distribution and desired responsiveness; and downstream includes integration into end-use systems such as adaptive structures, medical devices, automotive components, and consumer electronics, often requiring customization, performance tuning, and system-level engineering. In 2025, global Magneto-responsive Polymer output was about 80,000 tons with 120,000 tons of capacity, average prices of USD 8,000–25,000 per ton, and gross margins around 33%.
This report is a detailed and comprehensive analysis for global Magneto-responsive Polymer market. Both quantitative and qualitative analyses are presented by manufacturers, by region & country, by Type and by Application. As the market is constantly changing, this report explores the competition, supply and demand trends, as well as key factors that contribute to its changing demands across many markets. Company profiles and product examples of selected competitors, along with market share estimates of some of the selected leaders for the year 2025, are provided.
Key Features:
Global Magneto-responsive Polymer market size and forecasts, in consumption value ($ Million), sales quantity (Kilotons), and average selling prices (US$/Ton), 2021-2032
Global Magneto-responsive Polymer market size and forecasts by region and country, in consumption value ($ Million), sales quantity (Kilotons), and average selling prices (US$/Ton), 2021-2032
Global Magneto-responsive Polymer market size and forecasts, by Type and by Application, in consumption value ($ Million), sales quantity (Kilotons), and average selling prices (US$/Ton), 2021-2032
Global Magneto-responsive Polymer market shares of main players, shipments in revenue ($ Million), sales quantity (Kilotons), and ASP (US$/Ton), 2021-2026
The Primary Objectives in This Report Are:
To determine the size of the total market opportunity of global and key countries
To assess the growth potential for Magneto-responsive Polymer
To forecast future growth in each product and end-use market
To assess competitive factors affecting the marketplace
This report profiles key players in the global Magneto-responsive Polymer market based on the following parameters - company overview, sales quantity, revenue, price, gross margin, product portfolio, geographical presence, and key developments. Key companies covered as a part of this study include BASF (Germany), Dow (USA), DuPont (USA), Covestro (Germany), Evonik (Germany), Huntsman (USA), Celanese (USA), LyondellBasell (Netherlands), SABIC (Saudi Arabia), ExxonMobil (USA), etc.
This report also provides key insights about market drivers, restraints, opportunities, new product launches or approvals.
Market Segmentation
Magneto-responsive Polymer market is split by Type and by Application. For the period 2021-2032, the growth among segments provides accurate calculations and forecasts for consumption value by Type, and by Application in terms of volume and value. This analysis can help you expand your business by targeting qualified niche markets.
Market segment by Type
Isotropic Magneto-responsive Polymer
Anisotropic Magneto-responsive Polymer
Market segment by Mechanical Stiffness
<100 kPa
0.1–10 MPa
10–500 MPa
>500 MPa
Market segment by Application
Healthcare
Electronic
Others
Major players covered
BASF (Germany)
Dow (USA)
DuPont (USA)
Covestro (Germany)
Evonik (Germany)
Huntsman (USA)
Celanese (USA)
LyondellBasell (Netherlands)
SABIC (Saudi Arabia)
ExxonMobil (USA)
Arkema (France)
Solvay (Belgium)
Mitsubishi Chemical (Japan)
Asahi Kasei (Japan)
Toray Industries (Japan)
Sinopec (China)
PetroChina (China)
Wanhua Chemical (China)
Kingfa Sci. & Tech. (China)
Nan Ya Plastics (Taiwan)
Market segment by region, regional analysis covers
North America (United States, Canada, and Mexico)
Europe (Germany, France, United Kingdom, Russia, Italy, and Rest of Europe)
Asia-Pacific (China, Japan, Korea, India, Southeast Asia, and Australia)
South America (Brazil, Argentina, Colombia, and Rest of South America)
Middle East & Africa (Saudi Arabia, UAE, Egypt, South Africa, and Rest of Middle East & Africa)
The content of the study subjects, includes a total of 15 chapters:
Chapter 1, to describe Magneto-responsive Polymer product scope, market overview, market estimation caveats and base year.
Chapter 2, to profile the top manufacturers of Magneto-responsive Polymer, with price, sales quantity, revenue, and global market share of Magneto-responsive Polymer from 2021 to 2026.
Chapter 3, the Magneto-responsive Polymer competitive situation, sales quantity, revenue, and global market share of top manufacturers are analyzed emphatically by landscape contrast.
Chapter 4, the Magneto-responsive Polymer breakdown data are shown at the regional level, to show the sales quantity, consumption value, and growth by regions, from 2021 to 2032.
Chapter 5 and 6, to segment the sales by Type and by Application, with sales market share and growth rate by Type, by Application, from 2021 to 2032.
Chapter 7, 8, 9, 10 and 11, to break the sales data at the country level, with sales quantity, consumption value, and market share for key countries in the world, from 2021 to 2026.and Magneto-responsive Polymer market forecast, by regions, by Type, and by Application, with sales and revenue, from 2027 to 2032.
Chapter 12, market dynamics, drivers, restraints, trends, and Porters Five Forces analysis.
Chapter 13, the key raw materials and key suppliers, and industry chain of Magneto-responsive Polymer.
Chapter 14 and 15, to describe Magneto-responsive Polymer sales channel, distributors, customers, research findings and conclusion.